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Calculus 3: Multivariable Calculus

Study vectors, 3-D geometry, vector functions, partial derivatives, multiple integrals, and vector fields.

34 video lessonsTotal length 34Lessons 34Assessments $10.00Quiz fee

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This Calculus 3: Multivariable Calculus course follows the client-provided YouTube video list. Students can register for free and watch each lesson video without a subscription.

Quiz and transcript rule: quizzes unlock after the one-time $10 Quiz Proctor Fee is paid for this course. Students must complete all published Calculus 3 quizzes with a score of 90% or better for the course to appear as completed on their transcript.

Build core knowledge through structured lessons and practical examples.
Confirm understanding with quizzes and saved best scores.
Track progress toward a verified course completion record.
Use resources and lesson notes for self-paced review.

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Complete quizzes and review feedback after each module.

34 quizzes

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Finish required assessments to unlock course completion.

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Mr Circuit Academy Faculty

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This course includes

34 ordered lessons 34 video lessons of learning 34 scored quizzes 34 downloadable resources Mobile and desktop access Completion transcript setting: Paid Quiz Proctor Fee: $10.00 one time

Course content

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1. Calculus 3 Lecture 11.1: An Introduction to Vectors Quiz

Use vectors and vector functions to describe position, motion, length, curvature, and moving frames.

2. Calculus 3 Lecture 11.2: Vectors in 3-D Coordinate System Quiz

Describe objects in three-dimensional space using coordinates, vectors, lines, planes, and surfaces.

3. Calculus 3 Lecture 11.3: Using the Dot Product Quiz

Use the dot product to measure projection, angle, orthogonality, and work between vectors.

4. Calculus 3 Lecture 11.4: The Cross Product Quiz

Use the cross product to create perpendicular vectors and measure parallelogram area.

5. Calculus 3 Lecture 11.5: Lines and Planes in 3-D Quiz

Describe objects in three-dimensional space using coordinates, vectors, lines, planes, and surfaces.

6. Calculus 3 Lecture 11.6: Cylinders and Surfaces in 3-D Quiz

Describe objects in three-dimensional space using coordinates, vectors, lines, planes, and surfaces.

7. Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates Quiz

Describe objects in three-dimensional space using coordinates, vectors, lines, planes, and surfaces.

8. Calculus 3 Lecture 12.1: An Introduction To Vector Functions Quiz

Use vectors and vector functions to describe position, motion, length, curvature, and moving frames.

9. Calculus 3 Lecture 12.2: Derivatives and Integrals of Vector Functions Quiz

Use vectors and vector functions to describe position, motion, length, curvature, and moving frames.

10. Calculus 3 Lecture 12.3: Arc Length/Parameterization, TNB (Frenet-Serret) Intro Quiz

Use vectors and vector functions to describe position, motion, length, curvature, and moving frames.

11. Calculus 3 Lecture 12.3/12.5: TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation Quiz

Use vectors and vector functions to describe position, motion, length, curvature, and moving frames.

12. Calculus 3 Lecture 12.4: Velocity and Acceleration of Vector Functions Quiz

Use vectors and vector functions to describe position, motion, length, curvature, and moving frames.

13. Calculus 3 Lecture 13.1: Intro to Multivariable Functions (Domain, Sketching, Level Curves) Quiz

Study functions of several variables through limits, continuity, partial derivatives, gradients, tangent planes, and optimization.

14. Calculus 3 Lecture 13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.) Quiz

Study functions of several variables through limits, continuity, partial derivatives, gradients, tangent planes, and optimization.

15. Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions) Quiz

Study functions of several variables through limits, continuity, partial derivatives, gradients, tangent planes, and optimization.

16. Calculus 3 Lecture 13.4: Finding Differentials of Multivariable Functions Quiz

Study functions of several variables through limits, continuity, partial derivatives, gradients, tangent planes, and optimization.

17. Calculus 3 Lecture 13.5: The Chain Rule for Multivariable Functions Quiz

Study functions of several variables through limits, continuity, partial derivatives, gradients, tangent planes, and optimization.

18. Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients Quiz

Study functions of several variables through limits, continuity, partial derivatives, gradients, tangent planes, and optimization.

19. Calculus 3 Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces Quiz

Describe objects in three-dimensional space using coordinates, vectors, lines, planes, and surfaces.

20. Calculus 3 Lecture 13.8: Finding Extrema of Functions of 2 Variables (Max and Min) Quiz

Study functions of several variables through limits, continuity, partial derivatives, gradients, tangent planes, and optimization.

21. Calculus 3 Lecture 13.9: Constrained Optimization with LaGrange Multipliers Quiz

Study functions of several variables through limits, continuity, partial derivatives, gradients, tangent planes, and optimization.

22. Calculus 3 Lecture 14.1: INTRODUCTION to Double Integrals (Background Info) Quiz