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文件列表
33. Vectors - Arc length and curvature/18. Normal and osculating planes.mp4
153.0 MB
40. Vectors - Stokes' and divergence theorem/4. Divergence theorem.mp4
64.4 MB
6. Partial Derivatives - Limits and continuity/7. Precise definition of the limit for multivariable functions.mp4
57.3 MB
40. Vectors - Stokes' and divergence theorem/2. Stokes' theorem.mp4
38.6 MB
18. Multiple Integrals - Approximating double integrals/2. Approximating double integrals with rectangles.mp4
37.8 MB
48. Differential Equations - Second-order nonhomogeneous/11. Variation of parameters, Cramer's rule.mp4
35.9 MB
25. Multiple Integrals - Triple integrals in spherical coordinates/6. Changing triple integrals to spherical coordinates.mp4
35.3 MB
3. Partial Derivatives - Sketching graphs and level curves/2. Sketching level curves of multivariable functions.mp4
32.8 MB
43. Differential Equations - Separable differential equations/15. Orthogonal trajectories.mp4
31.6 MB
19. Multiple Integrals - Double integrals/19. Changing the order of integration.mp4
31.2 MB
51. Differential Equations - Advanced Laplace transforms/3. Convolution integrals and initial value problems.mp4
29.1 MB
50. Differential Equations - Methods of Laplace transforms/5. Laplace transforms and integration by parts.mp4
28.7 MB
15. Partial Derivatives - Optimization/12. Extreme value theorem, example 2.mp4
28.4 MB
17. Partial Derivatives - Lagrange multipliers/8. Three dimensions, two constraints.mp4
28.1 MB
37. Vectors - Curl and divergence/4. Potential function of a conservative vector field, three dimensions.mp4
27.6 MB
15. Partial Derivatives - Optimization/11. Extreme value theorem.mp4
27.1 MB
35. Vectors - Line integrals/3. Line integral of a curve.mp4
24.7 MB
35. Vectors - Line integrals/17. Open, connected, and simply-connected.mp4
24.4 MB
29. Vectors - Dot products/15. Acute angles between the curves.mp4
24.3 MB
31. Vectors - Vector functions and space curves/11. Projections of the curve.mp4
24.1 MB
16. Partial Derivatives - Applied optimization/3. Maximum volume of a rectangular box inscribed in a sphere.mp4
23.5 MB
35. Vectors - Line integrals/13. Independence of path.mp4
23.2 MB
39. Vectors - Surface integrals/3. Surface integrals, example 2.mp4
22.7 MB
19. Multiple Integrals - Double integrals/6. Iterated integrals.mp4
22.7 MB
48. Differential Equations - Second-order nonhomogeneous/9. Variation of parameters, system of equations.mp4
22.0 MB
46. Differential Equations - Linear differential equations/3. Linear differential equations.mp4
21.4 MB
35. Vectors - Line integrals/10. Potential function of a conservative vector field to evaluate a line integral.mp4
21.2 MB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/6. Changing triple integrals to cylindrical coordinates.mp4
20.5 MB
42. Differential Equations - Euler's method/3. Euler's method.vtt
20.3 MB
42. Differential Equations - Euler's method/3. Euler's method.mp4
20.3 MB
37. Vectors - Curl and divergence/2. Curl and divergence of a vector field.mp4
20.3 MB
34. Vectors - Velocity and acceleration/11. Tangential and normal components of acceleration.mp4
20.1 MB
23. Multiple Integrals - Triple integrals/10. Finding volume.mp4
20.0 MB
44. Differential Equations - Logistic models/8. Predator-prey systems.mp4
19.9 MB
35. Vectors - Line integrals/8. Potential function of a conservative vector field.mp4
19.3 MB
50. Differential Equations - Methods of Laplace transforms/3. Laplace transforms and initial value problems.mp4
19.3 MB
33. Vectors - Arc length and curvature/15. Maximum curvature.mp4
19.2 MB
9. Partial Derivatives - Chain rule/3. Chain rule for multivariable functions.mp4
19.2 MB
23. Multiple Integrals - Triple integrals/5. Triple integrals.mp4
19.2 MB
35. Vectors - Line integrals/15. Work done by the force field.mp4
19.2 MB
16. Partial Derivatives - Applied optimization/2. Maximum product of three real numbers.mp4
19.1 MB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/9. Finding volume.mp4
19.1 MB
28. Vectors - Introduction to vectors/17. Magnitude and angle of the resultant force.mp4
18.7 MB
45. Differential Equations - Exact differential equations/5. Exact differential equations initial value problems.mp4
18.7 MB
17. Partial Derivatives - Lagrange multipliers/4. Two dimensions, one constraint, example 2.mp4
18.6 MB
21. Multiple Integrals - Applications of double integrals/2. Double integrals to find mass and center of mass.mp4
18.3 MB
4. Partial Derivatives - Lines and planes/22. Parametric equations for the line of intersection of two planes.mp4
18.3 MB
20. Multiple Integrals - Double integrals in polar coordinates/5. Changing double integrals to polar coordinates.mp4
18.0 MB
44. Differential Equations - Logistic models/10. Equilibrium solutions and stability.mp4
18.0 MB
48. Differential Equations - Second-order nonhomogeneous/3. Undetermined coefficients.mp4
17.8 MB
20. Multiple Integrals - Double integrals in polar coordinates/14. Finding volume.mp4
17.7 MB
45. Differential Equations - Exact differential equations/3. Exact differential equations.mp4
17.6 MB
48. Differential Equations - Second-order nonhomogeneous/5. Undetermined coefficients, example 3.mp4
17.5 MB
19. Multiple Integrals - Double integrals/11. Type I and II regions.mp4
17.5 MB
23. Multiple Integrals - Triple integrals/13. Expressing the integral six ways.mp4
17.5 MB
22. Multiple Integrals - Approximating triple integrals/3. Midpoint rule for triple integrals.mp4
17.4 MB
43. Differential Equations - Separable differential equations/12. Mixing problems.mp4
17.1 MB
48. Differential Equations - Second-order nonhomogeneous/4. Undetermined coefficients, example 2.mp4
17.1 MB
20. Multiple Integrals - Double integrals in polar coordinates/11. Finding area.mp4
16.9 MB
6. Partial Derivatives - Limits and continuity/11. Compositions of multivariable functions.mp4
16.8 MB
14. Partial Derivatives - Tangent planes and normal lines/6. Normal line to the surface.mp4
16.8 MB
33. Vectors - Arc length and curvature/12. Curvature.mp4
16.7 MB
5. Partial Derivatives - Cylinders and quadric surfaces/3. Reducing equations to standard form.mp4
16.6 MB
47. Differential Equations - Second-order homogeneous/16. Homogeneous initial value problems, example 4.mp4
16.3 MB
48. Differential Equations - Second-order nonhomogeneous/6. Undetermined coefficients, example 4.mp4
16.3 MB
15. Partial Derivatives - Optimization/7. Local extrema and saddle points.mp4
16.0 MB
4. Partial Derivatives - Lines and planes/10. Parallel, intersecting, skew and perpendicular lines.mp4
15.8 MB
38. Vectors - Parametric surfaces and areas/10. Area of a surface.mp4
15.8 MB
4. Partial Derivatives - Lines and planes/25. Symmetric equations for the line of intersection of two planes.mp4
15.5 MB
2. Partial Derivatives - Three-dimensional coordinate systems/6. Distance between points in three dimensions.mp4
15.5 MB
49. Differential Equations - Laplace transforms/6. Laplace transforms using the definition.mp4
15.4 MB
48. Differential Equations - Second-order nonhomogeneous/14. Nonhomogeneous initial value problems.mp4
15.3 MB
35. Vectors - Line integrals/5. Line integral of a vector function.mp4
15.3 MB
36. Vectors - Green's theorem/6. Green's theorem for two regions.mp4
15.2 MB
31. Vectors - Vector functions and space curves/8. Sketching the vector equation.mp4
15.2 MB
38. Vectors - Parametric surfaces and areas/8. Tangent plane to the parametric surface.mp4
15.2 MB
20. Multiple Integrals - Double integrals in polar coordinates/2. Changing iterated integrals to polar coordinates.mp4
14.9 MB
2. Partial Derivatives - Three-dimensional coordinate systems/3. Plotting points in three dimensions.mp4
14.8 MB
38. Vectors - Parametric surfaces and areas/4. Surface of the vector equation.mp4
14.6 MB
2. Partial Derivatives - Three-dimensional coordinate systems/9. Center, radius, and equation of the sphere.mp4
14.3 MB
23. Multiple Integrals - Triple integrals/3. Iterated integrals.mp4
13.8 MB
46. Differential Equations - Linear differential equations/8. Linear differential equations initial value problems.mp4
13.8 MB
11. Partial Derivatives - Directional derivatives/5. Directional derivatives in the direction of the angle.mp4
13.7 MB
28. Vectors - Introduction to vectors/10. Copying vectors and using them to find combinations.mp4
13.6 MB
4. Partial Derivatives - Lines and planes/19. Parallel, perpendicular and angle between planes.mp4
13.6 MB
30. Vectors - Cross products/15. Scalar triple product to prove vectors are coplanar.mp4
13.4 MB
33. Vectors - Arc length and curvature/3. Arc length of a vector function.mp4
13.4 MB
1. Getting started/1. Hi! START HERE Course overview.mp4
13.2 MB
18. Multiple Integrals - Approximating double integrals/5. Midpoint rule for double integrals.mp4
13.1 MB
4. Partial Derivatives - Lines and planes/27. Distance between a point and a line.mp4
13.0 MB
33. Vectors - Arc length and curvature/9. Unit tangent and unit normal vectors.mp4
12.9 MB
32. Vectors - Derivatives and integrals of vector functions/12. Integral of a vector function.mp4
12.8 MB
30. Vectors - Cross products/6. Vector orthogonal to the plane.mp4
12.6 MB
4. Partial Derivatives - Lines and planes/5. Parametric and symmetric equations of a line.mp4
12.4 MB
27. Multiple Integrals - Applications of triple integrals/4. Moments of inertia.mp4
12.4 MB
47. Differential Equations - Second-order homogeneous/19. Boundary value problems with distinct real roots.mp4
12.4 MB
39. Vectors - Surface integrals/2. Surface integrals.mp4
12.3 MB
39. Vectors - Surface integrals/2. Surface integrals.vtt
12.3 MB
38. Vectors - Parametric surfaces and areas/6. Parametric representation of the surface.mp4
12.3 MB
29. Vectors - Dot products/12. Acute angle between the lines.mp4
12.2 MB
18. Multiple Integrals - Approximating double integrals/7. Riemann sums for double integrals.mp4
12.2 MB
19. Multiple Integrals - Double integrals/17. Finding volume.mp4
12.2 MB
32. Vectors - Derivatives and integrals of vector functions/3. Derivative of a vector function.mp4
12.1 MB
4. Partial Derivatives - Lines and planes/31. Distance between parallel planes.mp4
12.0 MB
16. Partial Derivatives - Applied optimization/5. Points on the cone closest to the given point.mp4
11.9 MB
10. Partial Derivatives - Implicit differentiation/3. Implicit differentiation for multivariable functions.mp4
11.9 MB
30. Vectors - Cross products/12. Volume of the parallelepiped from adjacent edges.mp4
11.8 MB
28. Vectors - Introduction to vectors/14. Angle between a vector and the x-axis.mp4
11.6 MB
32. Vectors - Derivatives and integrals of vector functions/9. Parametric equations of the tangent line.mp4
11.6 MB
29. Vectors - Dot products/18. Direction cosines and direction angles.mp4
11.5 MB
41. Differential Equations - Introduction/4. Sketching direction fields.mp4
11.5 MB
47. Differential Equations - Second-order homogeneous/10. Homogeneous complex conjugate roots.mp4
11.4 MB
33. Vectors - Arc length and curvature/6. Reparametrizing the curve.mp4
11.4 MB
26. Multiple Integrals - Change of variables/6. Jacobian for three variables.mp4
11.3 MB
4. Partial Derivatives - Lines and planes/13. Equation of a plane.mp4
11.3 MB
19. Multiple Integrals - Double integrals/14. Finding surface area.mp4
11.3 MB
17. Partial Derivatives - Lagrange multipliers/6. Three dimensions, one constraint.mp4
10.9 MB
50. Differential Equations - Methods of Laplace transforms/8. Inverse Laplace transforms.mp4
10.9 MB
27. Multiple Integrals - Applications of triple integrals/2. Triple integrals to find mass and center of mass.mp4
10.9 MB
5. Partial Derivatives - Cylinders and quadric surfaces/5. Sketching the surface.mp4
10.9 MB
28. Vectors - Introduction to vectors/5. Combinations of vectors.mp4
10.8 MB
46. Differential Equations - Linear differential equations/5. Linear differential equations for circuits.mp4
10.8 MB
29. Vectors - Dot products/27. Scalar and vector projections.mp4
10.7 MB
47. Differential Equations - Second-order homogeneous/15. Homogeneous initial value problems, example 3.mp4
10.5 MB
38. Vectors - Parametric surfaces and areas/2. Points on the surface.mp4
10.5 MB
47. Differential Equations - Second-order homogeneous/21. Boundary value problems with complex conjugate roots.mp4
10.5 MB
47. Differential Equations - Second-order homogeneous/13. Homogeneous initial value problems.mp4
10.2 MB
34. Vectors - Velocity and acceleration/8. Velocity and position given acceleration and initial conditions.mp4
10.2 MB
23. Multiple Integrals - Triple integrals/7. Average value.mp4
10.1 MB
29. Vectors - Dot products/9. Orthogonal, parallel or neither.mp4
10.0 MB
4. Partial Derivatives - Lines and planes/29. Distance between a point and a plane.mp4
10.0 MB
19. Multiple Integrals - Double integrals/3. Average value.mp4
9.8 MB
32. Vectors - Derivatives and integrals of vector functions/6. Unit tangent vector.mp4
9.7 MB
19. Multiple Integrals - Double integrals/8. Double integrals.mp4
9.7 MB
9. Partial Derivatives - Chain rule/4. Chain rule for multivariable functions, tree diagram.mp4
9.6 MB
15. Partial Derivatives - Optimization/5. Second derivative test.mp4
9.6 MB
17. Partial Derivatives - Lagrange multipliers/3. Two dimensions, one constraint.mp4
9.5 MB
30. Vectors - Cross products/9. Volume of the parallelepiped from vectors.mp4
9.5 MB
12. Partial Derivatives - Linear approximation and linearization/5. Linearization of a multivariable function.mp4
9.5 MB
4. Partial Derivatives - Lines and planes/3. Vector and parametric equations of a line.mp4
9.1 MB
6. Partial Derivatives - Limits and continuity/5. Limit of a multivariable function.mp4
9.1 MB
36. Vectors - Green's theorem/3. Green's theorem for one region.mp4
9.0 MB
44. Differential Equations - Logistic models/5. Logistic growth model for a population.mp4
8.9 MB
2. Partial Derivatives - Three-dimensional coordinate systems/13. Using inequalities to describe the region.mp4
8.6 MB
26. Multiple Integrals - Change of variables/3. Jacobian for two variables.mp4
8.3 MB
28. Vectors - Introduction to vectors/12. Unit vector in the direction of the given vector.mp4
8.2 MB
47. Differential Equations - Second-order homogeneous/14. Homogeneous initial value problems, example 2.mp4
8.1 MB
43. Differential Equations - Separable differential equations/9. Separable differential equations initial value problems.mp4
8.0 MB
13. Partial Derivatives - Gradient vectors/8. Maximum rate of change and its direction.mp4
8.0 MB
15. Partial Derivatives - Optimization/2. Critical points.mp4
8.0 MB
31. Vectors - Vector functions and space curves/6. Limit of a vector function.mp4
8.0 MB
31. Vectors - Vector functions and space curves/17. Vector function for the curve of intersection of two surfaces.mp4
7.7 MB
6. Partial Derivatives - Limits and continuity/2. Domain of a multivariable function.mp4
7.6 MB
29. Vectors - Dot products/6. Angle between two vectors.mp4
7.5 MB
43. Differential Equations - Separable differential equations/3. Separable differential equations.mp4
7.4 MB
20. Multiple Integrals - Double integrals in polar coordinates/8. Sketching area.mp4
7.2 MB
16. Partial Derivatives - Applied optimization/4. Minimum distance from the point to the plane.mp4
7.1 MB
12. Partial Derivatives - Linear approximation and linearization/3. Linear approximation in two variables.mp4
7.0 MB
15. Partial Derivatives - Optimization/9. Global extrema.mp4
7.0 MB
15. Partial Derivatives - Optimization/1.3 Global extrema.pdf.pdf
6.9 MB
31. Vectors - Vector functions and space curves/14. Vector and parametric equations of a line segment.mp4
6.9 MB
31. Vectors - Vector functions and space curves/3. Domain of a vector function.mp4
6.7 MB
25. Multiple Integrals - Triple integrals in spherical coordinates/9. Finding volume.mp4
6.7 MB
11. Partial Derivatives - Directional derivatives/3. Directional derivatives in the direction of the vector.mp4
6.6 MB
2. Partial Derivatives - Three-dimensional coordinate systems/11. Describing a region in three-dimensional space.mp4
6.4 MB
7. Partial Derivatives - Partial derivatives/3. Partial derivatives in two variables.mp4
6.3 MB
43. Differential Equations - Separable differential equations/6. Change of variable for separable differential equations.mp4
6.3 MB
34. Vectors - Velocity and acceleration/6. Velocity, acceleration and speed, given position.mp4
6.1 MB
44. Differential Equations - Logistic models/3. Population growth.mp4
6.1 MB
8. Partial Derivatives - Differentials/3. Differential of a multivariable function.mp4
5.9 MB
17. Partial Derivatives - Lagrange multipliers/10.2 Workbook.lagrange multipliers.solutions.pdf.pdf
5.8 MB
47. Differential Equations - Second-order homogeneous/7. Homogeneous equal real roots.mp4
5.8 MB
30. Vectors - Cross products/3. Cross product of two vectors.mp4
5.7 MB
52. Final exam and wrap-up/2. Wrap-up.mp4
5.6 MB
34. Vectors - Velocity and acceleration/3. Velocity and acceleration vectors.mp4
5.6 MB
25. Multiple Integrals - Triple integrals in spherical coordinates/3. Spherical coordinates.mp4
5.6 MB
4. Partial Derivatives - Lines and planes/16. Intersection of a line and a plane.mp4
5.5 MB
6. Partial Derivatives - Limits and continuity/9. Discontinuities of multivariable functions.mp4
5.5 MB
15. Partial Derivatives - Optimization/14.2 Workbook.optimization.solutions.pdf.pdf
5.3 MB
7. Partial Derivatives - Partial derivatives/9. Higher order partial derivatives.mp4
5.3 MB
6. Partial Derivatives - Limits and continuity/3. Domain of a multivariable function, example 2.mp4
5.3 MB
28. Vectors - Introduction to vectors/8. Sum of two vectors.mp4
5.3 MB
47. Differential Equations - Second-order homogeneous/23. Homogeneous working backwards.mp4
5.1 MB
7. Partial Derivatives - Partial derivatives/6. Partial derivatives in three or more variables.mp4
5.1 MB
14. Partial Derivatives - Tangent planes and normal lines/3. Equation of the tangent plane.mp4
4.9 MB
13. Partial Derivatives - Gradient vectors/6. Gradient vectors and the tangent plane.mp4
4.9 MB
29. Vectors - Dot products/3. Dot product of two vectors.mp4
4.3 MB
47. Differential Equations - Second-order homogeneous/3. Homogeneous distinct real roots.mp4
4.3 MB
29. Vectors - Dot products/24. Scalar equation of a plane.mp4
4.2 MB
51. Differential Equations - Advanced Laplace transforms/1.1 Convolution integrals and initial value problems.pdf.pdf
4.0 MB
13. Partial Derivatives - Gradient vectors/3. Gradient vectors.mp4
4.0 MB
49. Differential Equations - Laplace transforms/3. Laplace transforms using the table.mp4
3.9 MB
28. Vectors - Introduction to vectors/2. Vector from two points.mp4
3.8 MB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/3. Cylindrical coordinates.mp4
3.8 MB
2. Partial Derivatives - Three-dimensional coordinate systems/15.2 Workbook.three-dimensional coordinate systems.solutions.pdf.pdf
3.8 MB
2. Partial Derivatives - Three-dimensional coordinate systems/15.1 Workbook.three-dimensional coordinate systems.pdf.pdf
3.7 MB
48. Differential Equations - Second-order nonhomogeneous/1.1 Undetermined coefficients.pdf.pdf
3.6 MB
46. Differential Equations - Linear differential equations/1.2 Linear differential equations initial value problems.pdf.pdf
3.6 MB
17. Partial Derivatives - Lagrange multipliers/1.3 Three dimensions, one constraint.pdf.pdf
3.6 MB
33. Vectors - Arc length and curvature/17.1 Normal and osculating planes.pdf.pdf
3.4 MB
27. Multiple Integrals - Applications of triple integrals/1.2 Moments of inertia.pdf.pdf
3.4 MB
47. Differential Equations - Second-order homogeneous/1.4 Boundary value problems with complex conjugate roots.pdf.pdf
3.3 MB
47. Differential Equations - Second-order homogeneous/4. Homogeneous distinct real roots, example 2.mp4
3.3 MB
47. Differential Equations - Second-order homogeneous/1.1 Boundary value problems with distinct real roots.pdf.pdf
2.9 MB
46. Differential Equations - Linear differential equations/1.3 Linear differential equations for circuits.pdf.pdf
2.9 MB
43. Differential Equations - Separable differential equations/1.2 Change of variable for separable differential equations.pdf.pdf
2.9 MB
4. Partial Derivatives - Lines and planes/7. Symmetric equations of a line.mp4
2.8 MB
43. Differential Equations - Separable differential equations/1.1 Mixing problems.pdf.pdf
2.8 MB
29. Vectors - Dot products/21. Scalar equation of a line.mp4
2.7 MB
9. Partial Derivatives - Chain rule/2.1 Chain rule.pdf.pdf
2.6 MB
10. Partial Derivatives - Implicit differentiation/1.1 Implicit differentiation for multivariable functions.pdf.pdf
2.6 MB
44. Differential Equations - Logistic models/1.2 Predator-prey systems.pdf.pdf
2.5 MB
5. Partial Derivatives - Cylinders and quadric surfaces/7.2 Workbook.cylinders and quadric surfaces.solutions.pdf.pdf
2.4 MB
40. Vectors - Stokes' and divergence theorem/1.3 Stokes' theorem.pdf.pdf
2.4 MB
12. Partial Derivatives - Linear approximation and linearization/1.1 Linearization of a multivariable function.pdf.pdf
2.3 MB
27. Multiple Integrals - Applications of triple integrals/1.1 Triple integrals to find mass and center of mass.pdf.pdf
2.3 MB
5. Partial Derivatives - Cylinders and quadric surfaces/7.1 Workbook.cylinders and quadric surfaces.pdf.pdf
2.3 MB
47. Differential Equations - Second-order homogeneous/1.6 Complex conjugate roots.pdf.pdf
2.2 MB
47. Differential Equations - Second-order homogeneous/1.2 Initial value problems.pdf.pdf
2.2 MB
46. Differential Equations - Linear differential equations/1.1 Linear differential equations.pdf.pdf
2.2 MB
43. Differential Equations - Separable differential equations/1.5 Separable differential equations initial value problems.pdf.pdf
2.2 MB
44. Differential Equations - Logistic models/1.1 Logistic growth model for a population.pdf.pdf
2.2 MB
43. Differential Equations - Separable differential equations/1.4 Separable differential equations.pdf.pdf
2.1 MB
29. Vectors - Dot products/14.1 Acute angle between the curves.pdf.pdf
2.1 MB
4. Partial Derivatives - Lines and planes/1.4 Parametric and symmetric equations of the line.pdf.pdf
2.1 MB
6. Partial Derivatives - Limits and continuity/1.5 Precise definition of the limit for multivariable functions.pdf.pdf
2.1 MB
44. Differential Equations - Logistic models/1.3 Population growth.pdf.pdf
2.1 MB
3. Partial Derivatives - Sketching graphs and level curves/4.1 Workbook.sketching graphs and level curves.solutions.pdf.pdf
1.9 MB
23. Multiple Integrals - Triple integrals/12.1 Expressing the integral six ways.pdf.pdf
1.9 MB
17. Partial Derivatives - Lagrange multipliers/2.1 Lagrange multipliers.pdf.pdf
1.9 MB
31. Vectors - Vector functions and space curves/1.2 Projections of the curve.pdf.pdf
1.9 MB
3. Partial Derivatives - Sketching graphs and level curves/4.2 Workbook.sketching graphs and level curves.pdf.pdf
1.9 MB
47. Differential Equations - Second-order homogeneous/1.3 Distinct real roots.pdf.pdf
1.8 MB
47. Differential Equations - Second-order homogeneous/1.8 Working backwards.pdf.pdf
1.8 MB
42. Differential Equations - Euler's method/1.1 Euler's method.pdf.pdf
1.8 MB
47. Differential Equations - Second-order homogeneous/1.7 Linear dependence and independence.pdf.pdf
1.8 MB
52. Final exam and wrap-up/1.2 Calculus 3.Final Exam.Solutions.pdf.pdf
1.8 MB
1. Getting started/2.1 Calculus 3.formulas.pdf.pdf
1.7 MB
20. Multiple Integrals - Double integrals in polar coordinates/13.1 Finding volume with a double polar integral.pdf.pdf
1.6 MB
19. Multiple Integrals - Double integrals/12.1 Finding surface area.pdf.pdf
1.6 MB
19. Multiple Integrals - Double integrals/5.1 Iterated and double integrals.pdf.pdf
1.6 MB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/5.1 Changing triple integrals to cylindrical coordinates.pdf.pdf
1.6 MB
25. Multiple Integrals - Triple integrals in spherical coordinates/5.1 Changing triple integrals to cylindrical coordinates.pdf.pdf
1.6 MB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/8.1 Finding volume in cylindrical coordinates.pdf.pdf
1.6 MB
31. Vectors - Vector functions and space curves/10.1 Projections of the curve.pdf.pdf
1.6 MB
29. Vectors - Dot products/1.7 Scalar equation of a plane.pdf.pdf
1.6 MB
7. Partial Derivatives - Partial derivatives/11.2 Workbook.partial derivatives.solutions.pdf.pdf
1.6 MB
31. Vectors - Vector functions and space curves/1.4 Sketching the vector equation.pdf.pdf
1.5 MB
47. Differential Equations - Second-order homogeneous/1.5 Equal real roots.pdf.pdf
1.5 MB
45. Differential Equations - Exact differential equations/1.1 Exact differential equations.pdf.pdf
1.5 MB
8. Partial Derivatives - Differentials/5.1 Workbook.differentials.solutions.pdf.pdf
1.4 MB
6. Partial Derivatives - Limits and continuity/13.2 Workbook.limits and continuity.solutions.pdf.pdf
1.4 MB
33. Vectors - Arc length and curvature/11.1 Curvature.pdf.pdf
1.4 MB
34. Vectors - Velocity and acceleration/10.1 Tangential and normal components of the acceleration vector.pdf.pdf
1.4 MB
33. Vectors - Arc length and curvature/8.1 Unit tangent and unit normal vectors.pdf.pdf
1.4 MB
23. Multiple Integrals - Triple integrals/9.1 Finding volume of a triple integral.pdf.pdf
1.4 MB
25. Multiple Integrals - Triple integrals in spherical coordinates/8.1 Finding volume of a triple integral.pdf.pdf
1.4 MB
15. Partial Derivatives - Optimization/4.1 Second derivative test.pdf.pdf
1.4 MB
7. Partial Derivatives - Partial derivatives/2.1 Partial derivatives in two variables.pdf.pdf
1.4 MB
41. Differential Equations - Introduction/1.1 Sketching direction fields.pdf.pdf
1.3 MB
4. Partial Derivatives - Lines and planes/33.1 Workbook.lines and planes.solutions.pdf.pdf
1.3 MB
36. Vectors - Green's theorem/5.1 Greens theorem for two regions.pdf.pdf
1.3 MB
15. Partial Derivatives - Optimization/14.1 Workbook.optimization.pdf.pdf
1.3 MB
13. Partial Derivatives - Gradient vectors/10.1 Workbook.gradient vectors.solutions.pdf.pdf
1.2 MB
14. Partial Derivatives - Tangent planes and normal lines/8.2 Workbook.tangent planes and normal lines.solutions.pdf.pdf
1.2 MB
12. Partial Derivatives - Linear approximation and linearization/7.2 Workbook.linear approximation and linearization.solutions.pdf.pdf
1.2 MB
9. Partial Derivatives - Chain rule/6.1 Workbook.chain rule.solutions.pdf.pdf
1.2 MB
1. Getting started/2.2 DifferentialEquations.formulas.pdf.pdf
1.2 MB
11. Partial Derivatives - Directional derivatives/7.2 Workbook.directional derivatives.solutions.pdf.pdf
1.2 MB
16. Partial Derivatives - Applied optimization/7.2 Workbook.applied optimization.solutions.pdf.pdf
1.2 MB
28. Vectors - Introduction to vectors/16.1 Magnitude and angle of the resultant force.pdf.pdf
1.2 MB
6. Partial Derivatives - Limits and continuity/13.1 Workbook.limits and continuity.pdf.pdf
1.2 MB
13. Partial Derivatives - Gradient vectors/10.2 Workbook.gradient vectors.pdf.pdf
1.2 MB
4. Partial Derivatives - Lines and planes/21.1 Parametric equations for the line of intersection of two planes.pdf.pdf
1.2 MB
4. Partial Derivatives - Lines and planes/33.2 Workbook.lines and planes.pdf.pdf
1.2 MB
33. Vectors - Arc length and curvature/5.1 Reparametrizing the curve.pdf.pdf
1.2 MB
32. Vectors - Derivatives and integrals of vector functions/8.1 Parametric equations of the tangent line.pdf.pdf
1.2 MB
11. Partial Derivatives - Directional derivatives/2.1 Directional derivatives.pdf.pdf
1.2 MB
10. Partial Derivatives - Implicit differentiation/5.1 Workbook.implicit differentiation.solutions.pdf.pdf
1.2 MB
17. Partial Derivatives - Lagrange multipliers/10.1 Workbook.lagrange multipliers.pdf.pdf
1.2 MB
4. Partial Derivatives - Lines and planes/9.1 Parallel intersecting skew and perpendicular lines.pdf.pdf
1.2 MB
22. Multiple Integrals - Approximating triple integrals/2.1 Midpoint rule for triple integrals.pdf.pdf
1.2 MB
12. Partial Derivatives - Linear approximation and linearization/7.1 Workbook.linear approximation and linearization.pdf.pdf
1.1 MB
7. Partial Derivatives - Partial derivatives/11.1 Workbook.partial derivatives.pdf.pdf
1.1 MB
14. Partial Derivatives - Tangent planes and normal lines/8.1 Workbook.tangent planes and normal lines.pdf.pdf
1.1 MB
29. Vectors - Dot products/8.1 Orthogonal parallel or neither.pdf.pdf
1.1 MB
9. Partial Derivatives - Chain rule/6.2 Workbook.chain rule.pdf.pdf
1.1 MB
2. Partial Derivatives - Three-dimensional coordinate systems/8.1 Center radius and equation of the sphere.pdf.pdf
1.1 MB
8. Partial Derivatives - Differentials/5.2 Workbook.differentials.pdf.pdf
1.1 MB
13. Partial Derivatives - Gradient vectors/5.1 Gradient vectors and the tangent plane.pdf.pdf
1.1 MB
11. Partial Derivatives - Directional derivatives/7.1 Workbook.directional derivatives.pdf.pdf
1.1 MB
10. Partial Derivatives - Implicit differentiation/5.2 Workbook.implicit differentiation.pdf.pdf
1.1 MB
16. Partial Derivatives - Applied optimization/7.1 Workbook.applied optimization.pdf.pdf
1.1 MB
2. Partial Derivatives - Three-dimensional coordinate systems/2.1 Plotting points in three dimensions.pdf.pdf
1.1 MB
41. Differential Equations - Introduction/3.1 Sketching direction fields.pdf.pdf
1.1 MB
5. Partial Derivatives - Cylinders and quadric surfaces/1.2 Sketching the surface.pdf.pdf
945.6 kB
28. Vectors - Introduction to vectors/1.4 Magnitude and angle of the resultant force.pdf.pdf
943.6 kB
4. Partial Derivatives - Lines and planes/18.1 Paralle perpendicular and angle between planes.pdf.pdf
929.0 kB
18. Multiple Integrals - Approximating double integrals/4.1 Midpoint rule for double integrals.pdf.pdf
928.4 kB
33. Vectors - Arc length and curvature/14.1 Maximum curvature.pdf.pdf
921.6 kB
4. Partial Derivatives - Lines and planes/2.1 Vector parametric and symmetric equations of the line.pdf.pdf
917.1 kB
35. Vectors - Line integrals/7.1 Potential function of a conservative vector field.pdf.pdf
914.8 kB
26. Multiple Integrals - Change of variables/5.1 Jacobian for three variables.pdf.pdf
913.9 kB
33. Vectors - Arc length and curvature/2.1 Arc length of a vector function.pdf.pdf
913.2 kB
30. Vectors - Cross products/11.1 Volume of the parallelpiped from adjacent edges.pdf.pdf
913.1 kB
29. Vectors - Dot products/11.1 Acute angle between the lines.pdf.pdf
911.1 kB
30. Vectors - Cross products/5.1 Vector orthogonal to the plane.pdf.pdf
910.1 kB
29. Vectors - Dot products/26.1 Scalar vector projections.pdf.pdf
907.7 kB
31. Vectors - Vector functions and space curves/16.1 Vector function for the curve of intersection of two surfaces.pdf.pdf
907.3 kB
30. Vectors - Cross products/14.1 Scalar triple product to prove vectors are coplanar.pdf.pdf
906.9 kB
29. Vectors - Dot products/5.1 Angle between two vectors.pdf.pdf
906.4 kB
7. Partial Derivatives - Partial derivatives/8.1 Higher order partial derivatives.pdf.pdf
901.4 kB
10. Partial Derivatives - Implicit differentiation/2.1 Implicit differentiation for multivariable functions.pdf.pdf
900.0 kB
36. Vectors - Green's theorem/2.1 Greens theorem for one region.pdf.pdf
896.7 kB
14. Partial Derivatives - Tangent planes and normal lines/5.1 Normal line to the surface.pdf.pdf
896.5 kB
28. Vectors - Introduction to vectors/4.1 Combinations of vectors.pdf.pdf
894.9 kB
14. Partial Derivatives - Tangent planes and normal lines/2.1 Equation of the tangent plane.pdf.pdf
894.2 kB
12. Partial Derivatives - Linear approximation and linearization/2.1 Linear approximation in two variables.pdf.pdf
889.3 kB
19. Multiple Integrals - Double integrals/2.1 Average value of a double integral.pdf.pdf
798.3 kB
3. Partial Derivatives - Sketching graphs and level curves/1.1 Sketching level curves of multivariable functions.pdf.pdf
794.3 kB
20. Multiple Integrals - Double integrals in polar coordinates/7.1 Sketching area.pdf.pdf
763.7 kB
43. Differential Equations - Separable differential equations/14.1 Orthogonal trajectories.pdf.pdf
754.8 kB
52. Final exam and wrap-up/1.1 Calculus 3.Final Exam.pdf.pdf
705.8 kB
15. Partial Derivatives - Optimization/1.2 Extreme value theorem.pdf.pdf
694.1 kB
25. Multiple Integrals - Triple integrals in spherical coordinates/2.1 Spherical coordinates.pdf.pdf
683.9 kB
32. Vectors - Derivatives and integrals of vector functions/11.1 Integral of a vector function.pdf.pdf
681.8 kB
4. Partial Derivatives - Lines and planes/12.1 Equation of a plane.pdf.pdf
677.7 kB
4. Partial Derivatives - Lines and planes/24.1 Symmetric equations for the line of intersection of two planes.pdf.pdf
677.2 kB
32. Vectors - Derivatives and integrals of vector functions/2.1 Derivative of a vector function.pdf.pdf
676.8 kB
32. Vectors - Derivatives and integrals of vector functions/5.1 Unit tangent vector.pdf.pdf
674.8 kB
31. Vectors - Vector functions and space curves/13.1 Vector and parametric equations of a line segment.pdf.pdf
667.9 kB
34. Vectors - Velocity and acceleration/5.1 Velocity acceleration and speed given position.pdf.pdf
667.4 kB
30. Vectors - Cross products/2.1 Cross product of two vectors.pdf.pdf
667.1 kB
35. Vectors - Line integrals/2.1 LIne integral of a curve.pdf.pdf
664.4 kB
20. Multiple Integrals - Double integrals in polar coordinates/3.1 Changing iterated and double integrals to polar coordinates.pdf.pdf
664.4 kB
31. Vectors - Vector functions and space curves/5.1 Limit of a vector function.pdf.pdf
663.3 kB
29. Vectors - Dot products/17.1 Direction cosines and direction angles.pdf.pdf
663.1 kB
30. Vectors - Cross products/8.1 Volume of the parallelpiped from vectors.pdf.pdf
663.1 kB
31. Vectors - Vector functions and space curves/2.1 Domain of a vector function.pdf.pdf
661.7 kB
19. Multiple Integrals - Double integrals/1.5 Changing the order of integration.pdf.pdf
660.7 kB
20. Multiple Integrals - Double integrals in polar coordinates/10.1 Finding area.pdf.pdf
659.1 kB
35. Vectors - Line integrals/12.1 Independence of path.pdf.pdf
657.9 kB
26. Multiple Integrals - Change of variables/2.1 Jacobian for two variables.pdf.pdf
657.4 kB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/2.1 Cylindrical coordinates.pdf.pdf
657.0 kB
7. Partial Derivatives - Partial derivatives/5.1 Partial derivatives in three or more variables.pdf.pdf
651.0 kB
2. Partial Derivatives - Three-dimensional coordinate systems/5.1 Distance between points in three dimensions.pdf.pdf
650.3 kB
4. Partial Derivatives - Lines and planes/15.1 Intersection of a line and a plane.pdf.pdf
648.2 kB
8. Partial Derivatives - Differentials/2.1 Differential of the function.pdf.pdf
646.2 kB
29. Vectors - Dot products/20.1 Scalar equation of a line.pdf.pdf
643.7 kB
19. Multiple Integrals - Double integrals/1.2 Type I and II regions.pdf.pdf
590.9 kB
28. Vectors - Introduction to vectors/1.7 Angle between a vector and the x-axis.pdf.pdf
576.3 kB
19. Multiple Integrals - Double integrals/1.7 Average value.pdf.pdf
573.5 kB
23. Multiple Integrals - Triple integrals/2.1 Iterated and triple integrals.pdf.pdf
569.0 kB
5. Partial Derivatives - Cylinders and quadric surfaces/2.1 Cylinders and quadric surfaces.pdf.pdf
565.2 kB
19. Multiple Integrals - Double integrals/10.1 Type I and type II regions.pdf.pdf
544.7 kB
19. Multiple Integrals - Double integrals/16.1 Finding volume with a double integral.pdf.pdf
528.8 kB
36. Vectors - Green's theorem/1.1 Green's theorem for two regions.pdf.pdf
524.6 kB
2. Partial Derivatives - Three-dimensional coordinate systems/1.4 Plotting points in three dimensions.pdf.pdf
516.6 kB
28. Vectors - Introduction to vectors/1.6 Combinations of vectors.pdf.pdf
510.2 kB
48. Differential Equations - Second-order nonhomogeneous/8.1 Variation of parameters, system of equations.pdf.pdf
506.0 kB
36. Vectors - Green's theorem/1.2 Green's theorem for one region.pdf.pdf
500.2 kB
33. Vectors - Arc length and curvature/1.2 Normal and osculating planes.pdf.pdf
469.3 kB
51. Differential Equations - Advanced Laplace transforms/2.1 Convolution integrals and initial value problems.pdf.pdf
456.0 kB
46. Differential Equations - Linear differential equations/2.1 Linear differential equations.pdf.pdf
452.0 kB
47. Differential Equations - Second-order homogeneous/25.1 Linear dependence and independence.pdf.pdf
450.8 kB
29. Vectors - Dot products/1.6 Acute angles between the curves.pdf.pdf
450.1 kB
48. Differential Equations - Second-order nonhomogeneous/2.1 Undetermined coefficients.pdf.pdf
449.8 kB
13. Partial Derivatives - Gradient vectors/2.1 Gradient vectors.pdf.pdf
445.5 kB
45. Differential Equations - Exact differential equations/2.1 Exact differential equations.pdf.pdf
445.1 kB
34. Vectors - Velocity and acceleration/1.1 Tangential and normal components of accleration.pdf.pdf
443.2 kB
19. Multiple Integrals - Double integrals/1.4 Finding surface area for double integrals.pdf.pdf
440.9 kB
50. Differential Equations - Methods of Laplace transforms/1.3 Laplace transforms and integration by parts.pdf.pdf
440.3 kB
50. Differential Equations - Methods of Laplace transforms/2.1 Laplace transforms initial value problems.pdf.pdf
438.7 kB
46. Differential Equations - Linear differential equations/7.1 Linear differential equations initial value problems.pdf.pdf
437.2 kB
16. Partial Derivatives - Applied optimization/1.1 Applied optimization.pdf.pdf
436.5 kB
47. Differential Equations - Second-order homogeneous/9.1 Homogeneous complex conjugate roots.pdf.pdf
435.8 kB
33. Vectors - Arc length and curvature/1.7 Curvature.pdf.pdf
435.7 kB
34. Vectors - Velocity and acceleration/2.1 Velocity and acceleration vectors.pdf.pdf
432.7 kB
47. Differential Equations - Second-order homogeneous/2.1 Homogeneous distinct real roots.pdf.pdf
431.8 kB
47. Differential Equations - Second-order homogeneous/6.1 Homogeneous equal real roots.pdf.pdf
431.7 kB
17. Partial Derivatives - Lagrange multipliers/1.2 Three dimensions, two constraints.pdf.pdf
427.8 kB
44. Differential Equations - Logistic models/7.1 Predator-prey systems.pdf.pdf
427.0 kB
48. Differential Equations - Second-order nonhomogeneous/13.1 Nonhomogeneous initial value problems.pdf.pdf
424.3 kB
40. Vectors - Stokes' and divergence theorem/1.2 Divergence theorem and flux.pdf.pdf
423.1 kB
47. Differential Equations - Second-order homogeneous/18.1 Boundary value problems with distinct real roots.pdf.pdf
422.8 kB
32. Vectors - Derivatives and integrals of vector functions/1.3 Integral of a vector function.pdf.pdf
421.7 kB
44. Differential Equations - Logistic models/2.1 Logistic growth model for a population.pdf.pdf
420.5 kB
38. Vectors - Parametric surfaces and areas/1.1 Area of a surface.pdf.pdf
419.8 kB
47. Differential Equations - Second-order homogeneous/12.1 Homogeneous initial value problems.pdf.pdf
419.5 kB
4. Partial Derivatives - Lines and planes/1.7 Parametric equations for the line of intersection of two planes.pdf.pdf
418.6 kB
43. Differential Equations - Separable differential equations/11.1 Mixing problems.pdf.pdf
418.1 kB
33. Vectors - Arc length and curvature/1.6 Reparametrizing the curve.pdf.pdf
417.8 kB
43. Differential Equations - Separable differential equations/5.1 Change of variable for separable differential equations.pdf.pdf
417.6 kB
4. Partial Derivatives - Lines and planes/1.8 Symmetric equations for the line of intersection of two planes.pdf.pdf
417.3 kB
33. Vectors - Arc length and curvature/1.1 Unit tangent and unit normal vectors.pdf.pdf
417.3 kB
30. Vectors - Cross products/1.1 Vector orthogonal to the plane.pdf.pdf
417.2 kB
42. Differential Equations - Euler's method/2.1 Euler's method.pdf.pdf
417.1 kB
43. Differential Equations - Separable differential equations/8.1 Separable differential equations initial value problems.pdf.pdf
416.0 kB
4. Partial Derivatives - Lines and planes/1.6 Distance between a point and a line.pdf.pdf
415.6 kB
17. Partial Derivatives - Lagrange multipliers/1.1 Two dimensions, one constraint.pdf.pdf
414.6 kB
48. Differential Equations - Second-order nonhomogeneous/1.3 Nonhomogeneous initial value problems.pdf.pdf
414.3 kB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/1.2 Changing triple integrals to cylindrical coordinates.pdf.pdf
413.8 kB
50. Differential Equations - Methods of Laplace transforms/7.1 Inverse Laplace transforms.pdf.pdf
413.8 kB
33. Vectors - Arc length and curvature/1.3 Maximum curvature.pdf.pdf
413.6 kB
43. Differential Equations - Separable differential equations/2.1 Separable differential equations.pdf.pdf
413.6 kB
32. Vectors - Derivatives and integrals of vector functions/1.2 Unit tangent vector.pdf.pdf
413.4 kB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/1.1 Finding volume in cylindrical coordinates.pdf.pdf
412.5 kB
25. Multiple Integrals - Triple integrals in spherical coordinates/1.2 Changing triple integrals to spherical coordinates.pdf.pdf
412.4 kB
23. Multiple Integrals - Triple integrals/1.1 Expressing the integral six ways.pdf.pdf
411.9 kB
50. Differential Equations - Methods of Laplace transforms/1.2 Laplace transforms and initial value problems.pdf.pdf
411.8 kB
48. Differential Equations - Second-order nonhomogeneous/1.4 Variation of parameters, Cramer's rule.pdf.pdf
411.8 kB
23. Multiple Integrals - Triple integrals/6.1 Average value of a triple integral.pdf.pdf
411.6 kB
49. Differential Equations - Laplace transforms/5.1 Laplace transforms using the definition.pdf.pdf
411.2 kB
35. Vectors - Line integrals/1.4 Work done by the force field.pdf.pdf
411.0 kB
4. Partial Derivatives - Lines and planes/1.5 Equation of a plane.pdf.pdf
410.1 kB
35. Vectors - Line integrals/1.7 Line integral of a vector function.pdf.pdf
409.4 kB
11. Partial Derivatives - Directional derivatives/1.2 Directional derivatives in the direction of the angle.pdf.pdf
407.9 kB
49. Differential Equations - Laplace transforms/2.1 Laplace transforms using the table.pdf.pdf
407.6 kB
28. Vectors - Introduction to vectors/7.1 Sum of two vectors.pdf.pdf
407.5 kB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/1.3 Cylindrical coordinates.pdf.pdf
407.4 kB
23. Multiple Integrals - Triple integrals/1.3 Iterated triple integrals.pdf.pdf
407.3 kB
30. Vectors - Cross products/1.5 Volume of the parallelepiped from adjacent edges.pdf.pdf
407.2 kB
29. Vectors - Dot products/1.3 Scalar and vector projections.pdf.pdf
405.9 kB
29. Vectors - Dot products/1.8 Acute angle between the lines.pdf.pdf
405.8 kB
20. Multiple Integrals - Double integrals in polar coordinates/1.1 Changing double integrals to polar coordinates.pdf.pdf
404.9 kB
15. Partial Derivatives - Optimization/1.1 Second derivative test.pdf.pdf
404.7 kB
33. Vectors - Arc length and curvature/1.5 Arc length of a vector function.pdf.pdf
404.4 kB
11. Partial Derivatives - Directional derivatives/1.1 Directional derivatives in the direction of the vector.pdf.pdf
404.3 kB
34. Vectors - Velocity and acceleration/1.2 Velocity and position given acceleration and initial conditions.pdf.pdf
404.1 kB
38. Vectors - Parametric surfaces and areas/1.4 Tangent plane to the parametric surface.pdf.pdf
403.9 kB
29. Vectors - Dot products/2.1 Dot product of two vectors.pdf.pdf
403.6 kB
48. Differential Equations - Second-order nonhomogeneous/1.2 Variation of parameters, system of equations.pdf.pdf
403.3 kB
20. Multiple Integrals - Double integrals in polar coordinates/1.2 Changing iterated integrals to polar coordinates.pdf.pdf
403.3 kB
35. Vectors - Line integrals/1.2 Potential function of a conservative vector field to evaluate a line integral.pdf.pdf
403.3 kB
29. Vectors - Dot products/23.1 Scalar equation of a plane.pdf.pdf
403.2 kB
19. Multiple Integrals - Double integrals/1.6 Iterated integrals.pdf.pdf
403.0 kB
38. Vectors - Parametric surfaces and areas/1.3 Parametric representation of the surface.pdf.pdf
402.9 kB
25. Multiple Integrals - Triple integrals in spherical coordinates/1.3 Finding volume in spherical coordinates.pdf.pdf
402.8 kB
29. Vectors - Dot products/1.9 Direction cosines and direction angles.pdf.pdf
402.1 kB
29. Vectors - Dot products/1.4 Angle between two vectors.pdf.pdf
401.6 kB
18. Multiple Integrals - Approximating double integrals/1.1 Riemann sums for double integrals.pdf.pdf
401.2 kB
41. Differential Equations - Introduction/2.1 Overview of differential equations.pdf.pdf
401.2 kB
40. Vectors - Stokes' and divergence theorem/1.1 Divergence theorem for surface integrals.pdf.pdf
400.4 kB
22. Multiple Integrals - Approximating triple integrals/1.1 Midpoint rule for triple integrals.pdf.pdf
399.9 kB
35. Vectors - Line integrals/1.5 Potential function of a conservative vector field.pdf.pdf
399.8 kB
21. Multiple Integrals - Applications of double integrals/1.1 Double integrals to find mass and center of mass.pdf.pdf
399.5 kB
28. Vectors - Introduction to vectors/1.3 Unit vector in the direction of the given vector.pdf.pdf
399.3 kB
49. Differential Equations - Laplace transforms/1.1 Laplace transforms using the definition.pdf.pdf
399.1 kB
28. Vectors - Introduction to vectors/1.1 Copying vectors and using them to draw combinations.pdf.pdf
398.2 kB
37. Vectors - Curl and divergence/1.1 Potential function of the conservative vector field, three dimensions.pdf.pdf
398.1 kB
39. Vectors - Surface integrals/1.1 Surface integrals.pdf.pdf
398.0 kB
49. Differential Equations - Laplace transforms/1.2 Laplace transforms using the table.pdf.pdf
397.5 kB
32. Vectors - Derivatives and integrals of vector functions/1.4 Parametric equations of the tangent line.pdf.pdf
396.5 kB
31. Vectors - Vector functions and space curves/1.5 Vector function for the curve of intersection of two surfaces.pdf.pdf
396.4 kB
34. Vectors - Velocity and acceleration/1.3 Velocity and acceleration vectors.pdf.pdf
396.3 kB
30. Vectors - Cross products/1.4 Volume of the parallelepiped from vectors.pdf.pdf
396.2 kB
35. Vectors - Line integrals/1.1 Independence of path.pdf.pdf
396.0 kB
20. Multiple Integrals - Double integrals in polar coordinates/1.4 Finding area for double polar integrals.pdf.pdf
395.9 kB
14. Partial Derivatives - Tangent planes and normal lines/1.2 Normal line to the surface.pdf.pdf
395.6 kB
4. Partial Derivatives - Lines and planes/1.11 Distance between parallel planes.pdf.pdf
395.1 kB
19. Multiple Integrals - Double integrals/1.1 Double integrals.pdf.pdf
394.8 kB
19. Multiple Integrals - Double integrals/1.3 Finding volume for double integrals.pdf.pdf
394.8 kB
13. Partial Derivatives - Gradient vectors/1.3 Gradient vectors.pdf.pdf
394.6 kB
20. Multiple Integrals - Double integrals in polar coordinates/1.3 Finding volume for double polar integrals.pdf.pdf
393.9 kB
30. Vectors - Cross products/1.3 Cross product of two vectors.pdf.pdf
393.8 kB
32. Vectors - Derivatives and integrals of vector functions/1.1 Derivative of a vector function.pdf.pdf
393.8 kB
23. Multiple Integrals - Triple integrals/1.4 Finding volume with triple integrals.pdf.pdf
393.6 kB
31. Vectors - Vector functions and space curves/1.3 Limit of a vector function.pdf.pdf
393.6 kB
34. Vectors - Velocity and acceleration/1.4 Velocity, acceleration and speed, given position.pdf.pdf
393.3 kB
4. Partial Derivatives - Lines and planes/1.10 Parallel, perpendicular, and angle between planes.pdf.pdf
392.7 kB
26. Multiple Integrals - Change of variables/1.2 Jacobian for two variables.pdf.pdf
392.7 kB
30. Vectors - Cross products/1.2 Scalar triple product to prove vectors are coplanar.pdf.pdf
392.6 kB
35. Vectors - Line integrals/1.3 Line integral of a curve.pdf.pdf
392.3 kB
13. Partial Derivatives - Gradient vectors/1.2 Maximum rate of change and its direction.pdf.pdf
390.6 kB
37. Vectors - Curl and divergence/1.2 Curl and divergence of a vector field.pdf.pdf
390.5 kB
2. Partial Derivatives - Three-dimensional coordinate systems/1.5 Distance between points in three dimensions.pdf.pdf
390.4 kB
18. Multiple Integrals - Approximating double integrals/1.2 Midpoint rule for double integrals.pdf.pdf
389.3 kB
4. Partial Derivatives - Lines and planes/1.1 Vector and parametric equations of a line.pdf.pdf
388.8 kB
4. Partial Derivatives - Lines and planes/1.3 Symmetric equations of a line.pdf.pdf
388.6 kB
4. Partial Derivatives - Lines and planes/1.2 Parallel, intersecting, skew and perpendicular lines.pdf.pdf
388.4 kB
12. Partial Derivatives - Linear approximation and linearization/1.2 Linear approximation in two variables.pdf.pdf
387.5 kB
13. Partial Derivatives - Gradient vectors/1.1 Gradient vectors and the tangent plane.pdf.pdf
387.0 kB
23. Multiple Integrals - Triple integrals/1.2 Average value for triple integrals.pdf.pdf
387.0 kB
26. Multiple Integrals - Change of variables/1.1 Jacobian for three variables.pdf.pdf
387.0 kB
4. Partial Derivatives - Lines and planes/1.9 Distance between a point and a plane.pdf.pdf
386.7 kB
43. Differential Equations - Separable differential equations/1.3 Orthogonal trajectories.pdf.pdf
386.4 kB
44. Differential Equations - Logistic models/1.4 Equilibrium solutions and stability.pdf.pdf
386.3 kB
2. Partial Derivatives - Three-dimensional coordinate systems/1.3 Center, radius and equation of a sphere.pdf.pdf
386.1 kB
7. Partial Derivatives - Partial derivatives/1.3 Partial derivatives in three or more variables.pdf.pdf
386.1 kB
29. Vectors - Dot products/1.5 Scalar equation of a line.pdf.pdf
386.0 kB
7. Partial Derivatives - Partial derivatives/1.1 Higher order partial derivatives.pdf.pdf
385.4 kB
50. Differential Equations - Methods of Laplace transforms/1.1 Inverse Laplace transforms.pdf.pdf
385.3 kB
28. Vectors - Introduction to vectors/1.2 Sum of two vectors.pdf.pdf
384.8 kB
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384.6 kB
29. Vectors - Dot products/1.1 Orthogonal, parallel or neither.pdf.pdf
384.3 kB
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384.1 kB
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383.8 kB
33. Vectors - Arc length and curvature/1.4 Equation of the osculating circle.pdf.pdf
383.7 kB
20. Multiple Integrals - Double integrals in polar coordinates/1.5 Sketching area for double polar integrals.pdf.pdf
382.7 kB
29. Vectors - Dot products/1.2 Dot product of two vectors.pdf.pdf
382.5 kB
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382.1 kB
8. Partial Derivatives - Differentials/1.1 Differential of a multivariable function.pdf.pdf
381.7 kB
15. Partial Derivatives - Optimization/1.5 Local extrema and saddle points.pdf.pdf
380.9 kB
15. Partial Derivatives - Optimization/1.4 Critical points.pdf.pdf
380.4 kB
38. Vectors - Parametric surfaces and areas/1.2 Points on the surface.pdf.pdf
379.6 kB
6. Partial Derivatives - Limits and continuity/1.4 Compositions of multivariable functions.pdf.pdf
379.6 kB
7. Partial Derivatives - Partial derivatives/1.2 Partial derivatives in two variables.pdf.pdf
379.3 kB
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379.3 kB
38. Vectors - Parametric surfaces and areas/1.5 Surface of the vector equation.pdf.pdf
379.0 kB
31. Vectors - Vector functions and space curves/1.1 Domain of the vector function.pdf.pdf
378.8 kB
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377.3 kB
28. Vectors - Introduction to vectors/1.5 Vector from two points.pdf.pdf
377.2 kB
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376.4 kB
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372.7 kB
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372.1 kB
6. Partial Derivatives - Limits and continuity/1.3 Discontinuities of multivariable functions.pdf.pdf
368.8 kB
6. Partial Derivatives - Limits and continuity/1.1 Limit of a multivariable function.pdf.pdf
366.7 kB
25. Multiple Integrals - Triple integrals in spherical coordinates/1.1 Spherical coordinates.pdf.pdf
365.6 kB
35. Vectors - Line integrals/1.6 Open, connected, and simply-connected.pdf.pdf
309.0 kB
6. Partial Derivatives - Limits and continuity/7. Precise definition of the limit for multivariable functions.vtt
45.3 kB
40. Vectors - Stokes' and divergence theorem/4. Divergence theorem.vtt
40.0 kB
48. Differential Equations - Second-order nonhomogeneous/11. Variation of parameters, Cramer's rule.vtt
33.9 kB
50. Differential Equations - Methods of Laplace transforms/5. Laplace transforms and integration by parts.vtt
29.9 kB
33. Vectors - Arc length and curvature/18. Normal and osculating planes.vtt
29.8 kB
19. Multiple Integrals - Double integrals/6. Iterated integrals.vtt
28.7 kB
15. Partial Derivatives - Optimization/11. Extreme value theorem.vtt
24.3 kB
48. Differential Equations - Second-order nonhomogeneous/9. Variation of parameters, system of equations.vtt
24.2 kB
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23.7 kB
40. Vectors - Stokes' and divergence theorem/2. Stokes' theorem.vtt
23.5 kB
9. Partial Derivatives - Chain rule/3. Chain rule for multivariable functions.vtt
23.3 kB
45. Differential Equations - Exact differential equations/3. Exact differential equations.vtt
23.0 kB
23. Multiple Integrals - Triple integrals/13. Expressing the integral six ways.vtt
22.9 kB
37. Vectors - Curl and divergence/4. Potential function of a conservative vector field, three dimensions.vtt
22.5 kB
44. Differential Equations - Logistic models/10. Equilibrium solutions and stability.vtt
21.7 kB
29. Vectors - Dot products/15. Acute angles between the curves.vtt
20.9 kB
48. Differential Equations - Second-order nonhomogeneous/3. Undetermined coefficients.vtt
20.7 kB
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20.7 kB
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20.6 kB
31. Vectors - Vector functions and space curves/11. Projections of the curve.vtt
20.6 kB
35. Vectors - Line integrals/3. Line integral of a curve.vtt
20.4 kB
48. Differential Equations - Second-order nonhomogeneous/6. Undetermined coefficients, example 4.vtt
20.4 kB
50. Differential Equations - Methods of Laplace transforms/3. Laplace transforms and initial value problems.vtt
20.3 kB
25. Multiple Integrals - Triple integrals in spherical coordinates/6. Changing triple integrals to spherical coordinates.vtt
20.0 kB
19. Multiple Integrals - Double integrals/19. Changing the order of integration.vtt
19.8 kB
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19.7 kB
34. Vectors - Velocity and acceleration/11. Tangential and normal components of acceleration.vtt
19.5 kB
17. Partial Derivatives - Lagrange multipliers/4. Two dimensions, one constraint, example 2.vtt
19.4 kB
16. Partial Derivatives - Applied optimization/3. Maximum volume of a rectangular box inscribed in a sphere.vtt
19.3 kB
48. Differential Equations - Second-order nonhomogeneous/5. Undetermined coefficients, example 3.vtt
18.5 kB
39. Vectors - Surface integrals/3. Surface integrals, example 2.vtt
18.3 kB
51. Differential Equations - Advanced Laplace transforms/3. Convolution integrals and initial value problems.vtt
18.3 kB
48. Differential Equations - Second-order nonhomogeneous/14. Nonhomogeneous initial value problems.vtt
18.1 kB
48. Differential Equations - Second-order nonhomogeneous/4. Undetermined coefficients, example 2.vtt
18.0 kB
15. Partial Derivatives - Optimization/12. Extreme value theorem, example 2.vtt
17.5 kB
36. Vectors - Green's theorem/6. Green's theorem for two regions.vtt
17.4 kB
49. Differential Equations - Laplace transforms/6. Laplace transforms using the definition.vtt
17.3 kB
33. Vectors - Arc length and curvature/15. Maximum curvature.vtt
17.2 kB
47. Differential Equations - Second-order homogeneous/16. Homogeneous initial value problems, example 4.vtt
17.2 kB
43. Differential Equations - Separable differential equations/15. Orthogonal trajectories.vtt
17.2 kB
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17.0 kB
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16.9 kB
23. Multiple Integrals - Triple integrals/10. Finding volume.vtt
16.7 kB
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16.5 kB
44. Differential Equations - Logistic models/8. Predator-prey systems.vtt
16.4 kB
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16.4 kB
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16.3 kB
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16.2 kB
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16.0 kB
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15.9 kB
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15.8 kB
24. Multiple Integrals - Triple integrals in cylindrical coordinates/9. Finding volume.vtt
15.2 kB
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15.0 kB
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14.9 kB
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14.8 kB
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14.6 kB
28. Vectors - Introduction to vectors/17. Magnitude and angle of the resultant force.vtt
14.6 kB
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14.4 kB
50. Differential Equations - Methods of Laplace transforms/8. Inverse Laplace transforms.vtt
14.4 kB
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14.4 kB
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14.2 kB
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14.2 kB
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14.2 kB
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14.1 kB
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14.1 kB
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14.0 kB
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14.0 kB
22. Multiple Integrals - Approximating triple integrals/3. Midpoint rule for triple integrals.vtt
13.6 kB
20. Multiple Integrals - Double integrals in polar coordinates/2. Changing iterated integrals to polar coordinates.vtt
13.6 kB
27. Multiple Integrals - Applications of triple integrals/2. Triple integrals to find mass and center of mass.vtt
13.3 kB
43. Differential Equations - Separable differential equations/12. Mixing problems.vtt
13.3 kB
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13.2 kB
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13.1 kB
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13.0 kB
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12.9 kB
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12.9 kB
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12.9 kB
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12.6 kB
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12.5 kB
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12.5 kB
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12.3 kB
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12.2 kB
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12.2 kB
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12.1 kB
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12.0 kB
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12.0 kB
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11.9 kB
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11.7 kB
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11.7 kB
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11.6 kB
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11.6 kB
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11.4 kB
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11.4 kB
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11.3 kB
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11.3 kB
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11.3 kB
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11.1 kB
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11.0 kB
41. Differential Equations - Introduction/4. Sketching direction fields.vtt
10.9 kB
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10.9 kB
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10.8 kB
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10.8 kB
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10.7 kB
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10.7 kB
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10.7 kB
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10.7 kB
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10.7 kB
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10.6 kB
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10.4 kB
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10.3 kB
30. Vectors - Cross products/6. Vector orthogonal to the plane.vtt
10.3 kB
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10.2 kB
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10.1 kB
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10.1 kB
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10.0 kB
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10.0 kB
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10.0 kB
28. Vectors - Introduction to vectors/14. Angle between a vector and the x-axis.vtt
9.9 kB
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9.8 kB
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9.8 kB
10. Partial Derivatives - Implicit differentiation/3. Implicit differentiation for multivariable functions.vtt
9.7 kB
35. Vectors - Line integrals/17. Open, connected, and simply-connected.vtt
9.7 kB
28. Vectors - Introduction to vectors/5. Combinations of vectors.vtt
9.6 kB
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9.5 kB
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9.4 kB
47. Differential Equations - Second-order homogeneous/14. Homogeneous initial value problems, example 2.vtt
9.4 kB
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9.3 kB
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9.3 kB
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9.3 kB
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9.1 kB
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9.1 kB
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9.0 kB
38. Vectors - Parametric surfaces and areas/2. Points on the surface.vtt
8.9 kB
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8.7 kB
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8.6 kB
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8.5 kB
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8.4 kB
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8.2 kB
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8.2 kB
19. Multiple Integrals - Double integrals/3. Average value.vtt
8.0 kB
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8.0 kB
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8.0 kB
29. Vectors - Dot products/9. Orthogonal, parallel or neither.vtt
8.0 kB
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7.9 kB
23. Multiple Integrals - Triple integrals/7. Average value.vtt
7.9 kB
44. Differential Equations - Logistic models/5. Logistic growth model for a population.vtt
7.8 kB
43. Differential Equations - Separable differential equations/9. Separable differential equations initial value problems.vtt
7.8 kB
13. Partial Derivatives - Gradient vectors/8. Maximum rate of change and its direction.vtt
7.7 kB
44. Differential Equations - Logistic models/3. Population growth.vtt
7.6 kB
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7.5 kB
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7.4 kB
15. Partial Derivatives - Optimization/2. Critical points.vtt
7.4 kB
11. Partial Derivatives - Directional derivatives/3. Directional derivatives in the direction of the vector.vtt
7.3 kB
31. Vectors - Vector functions and space curves/17. Vector function for the curve of intersection of two surfaces.vtt
7.3 kB
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7.3 kB
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7.2 kB
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7.2 kB
47. Differential Equations - Second-order homogeneous/3. Homogeneous distinct real roots.vtt
7.0 kB
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6.9 kB
31. Vectors - Vector functions and space curves/3. Domain of a vector function.vtt
6.9 kB
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6.8 kB
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6.8 kB
28. Vectors - Introduction to vectors/2. Vector from two points.vtt
6.7 kB
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6.7 kB
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6.6 kB
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6.6 kB
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6.5 kB
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6.4 kB
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6.4 kB
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6.4 kB
31. Vectors - Vector functions and space curves/14. Vector and parametric equations of a line segment.vtt
6.3 kB
28. Vectors - Introduction to vectors/8. Sum of two vectors.vtt
6.2 kB
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6.2 kB
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6.0 kB
43. Differential Equations - Separable differential equations/6. Change of variable for separable differential equations.vtt
5.9 kB
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5.6 kB
13. Partial Derivatives - Gradient vectors/6. Gradient vectors and the tangent plane.vtt
5.5 kB
4. Partial Derivatives - Lines and planes/16. Intersection of a line and a plane.vtt
5.5 kB
49. Differential Equations - Laplace transforms/3. Laplace transforms using the table.vtt
5.2 kB
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5.1 kB
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5.0 kB
8. Partial Derivatives - Differentials/3. Differential of a multivariable function.vtt
4.9 kB
29. Vectors - Dot products/24. Scalar equation of a plane.vtt
4.9 kB
47. Differential Equations - Second-order homogeneous/4. Homogeneous distinct real roots, example 2.vtt
4.8 kB
48. Differential Equations - Second-order nonhomogeneous/8. Variation of parameters, system of equations.html
4.2 kB
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4.0 kB
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3.8 kB
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3.7 kB
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3.4 kB
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2.4 kB
45. Differential Equations - Exact differential equations/2. Exact differential equation.html
2.4 kB
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2.1 kB
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1.8 kB
23. Multiple Integrals - Triple integrals/12. Expressing the integral six ways.html
1.8 kB
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1.8 kB
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1.8 kB
50. Differential Equations - Methods of Laplace transforms/2. Laplace transforms and initial value problems.html
1.8 kB
1. Getting started/1. Hi! START HERE Course overview.vtt
1.8 kB
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1.6 kB
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1.6 kB
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1.6 kB
36. Vectors - Green's theorem/5. Green's theorem for two regions.html
1.6 kB
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1.6 kB
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1.6 kB
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1.6 kB
48. Differential Equations - Second-order nonhomogeneous/2. Undetermined coefficients.html
1.6 kB
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1.6 kB
9. Partial Derivatives - Chain rule/2. Chain rule for multivariable functions.html
1.4 kB
15. Partial Derivatives - Optimization/4. Second derivative test.html
1.3 kB
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1.3 kB
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1.3 kB
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1.3 kB
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1.3 kB
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1.3 kB
43. Differential Equations - Separable differential equations/11. Mixing problems.html
1.3 kB
46. Differential Equations - Linear differential equations/7. Linear differential equations initial value problems.html
1.3 kB
47. Differential Equations - Second-order homogeneous/12. Homogeneous initial value problems.html
1.3 kB
47. Differential Equations - Second-order homogeneous/18. Boundary value problems.html
1.3 kB
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1.3 kB
10. Partial Derivatives - Implicit differentiation/2. Implicit differentiation for multivariable functions.html
1.0 kB
14. Partial Derivatives - Tangent planes and normal lines/2. Equation of the tangent plane.html
1.0 kB
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1.0 kB
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1.0 kB
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1.0 kB
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1.0 kB
26. Multiple Integrals - Change of variables/5. Jacobian for three variables.html
1.0 kB
28. Vectors - Introduction to vectors/16. Magnitude and angle of the resultant force.html
1.0 kB
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1.0 kB
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1.0 kB
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1.0 kB
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1.0 kB
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1.0 kB
35. Vectors - Line integrals/7. Conservative vector fields.html
1.0 kB
36. Vectors - Green's theorem/2. Green's theorem for one region.html
1.0 kB
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1.0 kB
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1.0 kB
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1.0 kB
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8. Partial Derivatives - Differentials/4. Differential of a multivariable function.html
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12. Partial Derivatives - Linear approximation and linearization/4. Linear approximation in two variables.html
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14. Partial Derivatives - Tangent planes and normal lines/4. Equation of the tangent plane.html
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43. Differential Equations - Separable differential equations/4. Separable differential equations.html
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46. Differential Equations - Linear differential equations/4. Linear differential equations.html
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47. Differential Equations - Second-order homogeneous/11. Homogeneous complex conjugate roots.html
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47. Differential Equations - Second-order homogeneous/17. Homogeneous initial value problems.html
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47. Differential Equations - Second-order homogeneous/24. Homogeneous working backwards.html
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47. Differential Equations - Second-order homogeneous/5. Homogeneous distinct real roots.html
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47. Differential Equations - Second-order homogeneous/8. Homogeneous equal real roots.html
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6. Partial Derivatives - Limits and continuity/10. Discontinuities of multivariable functions.html
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6. Partial Derivatives - Limits and continuity/4. Domain of a multivariable function.html
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6. Partial Derivatives - Limits and continuity/6. Limit of a multivariable function.html
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7. Partial Derivatives - Partial derivatives/10. Higher order partial derivatives.html
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7. Partial Derivatives - Partial derivatives/4. Partial derivatives in two variables.html
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7. Partial Derivatives - Partial derivatives/7. Partial derivatives in three or more variables.html
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9. Partial Derivatives - Chain rule/5. Chain rule for multivariable functions and tree diagrams.html
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