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Updated in [August 13th, 2023]

Skills and Knowledge Acquired:
By taking this course, students will acquire a comprehensive understanding of Calculus 3, including partial derivatives, multiple integrals, and vectors. They will also gain the ability to solve problems related to these topics, as well as the skills to work through the yucky, fuzzy middle parts of math problems. Additionally, students will gain access to video and text explanations, 161 quizzes with solutions, and 40 workbooks with extra practice problems. Finally, they will receive lifetime access to the course, friendly support in the Q&A section, a Udemy Certificate of Completion, and a 30-day money back guarantee.


Contribution to Professional Growth:
Become a Calculus 3 Master is designed to make complicated math easy and accessible to everyone. This 526-lesson course provides comprehensive video and text explanations of everything from Calculus 3, as well as 161 quizzes with solutions and 40 workbooks with extra practice problems. The course is organized into sections on Partial Derivatives, Multiple Integrals, and Vectors. Each section includes videos, notes, quizzes, and workbooks to help students test their understanding. By taking this course, students can gain a strong grasp on math and develop the tools to explore more complex topics. This course can contribute to professional growth by providing students with the knowledge and skills to succeed in their chosen field.


Suitability for Further Education:
Become a Calculus 3 Master is an excellent course for preparing for further education. It includes 526 lessons with video and text explanations, 161 quizzes with solutions, and 40 workbooks with extra practice problems. Students have reported that the course is comprehensive and that the instructor is an excellent teacher who makes complex calculus topics easily understandable. The course also offers lifetime access, friendly support in the Q&A section, a Udemy Certificate of Completion, and a 30-day money back guarantee. Therefore, Become a Calculus 3 Master is suitable for preparing for further education.

Course Syllabus

Getting started

Partial Derivatives - Three-dimensional coordinate systems

Partial Derivatives - Sketching graphs and level curves

Partial Derivatives - Lines and planes

Partial Derivatives - Cylinders and quadric surfaces

Partial Derivatives - Limits and continuity

Partial Derivatives - Partial derivatives

Partial Derivatives - Differentials

Partial Derivatives - Chain rule

Partial Derivatives - Implicit differentiation

Partial Derivatives - Directional derivatives

Partial Derivatives - Linear approximation and linearization

Partial Derivatives - Gradient vectors

Partial Derivatives - Tangent planes and normal lines

Partial Derivatives - Optimization

Partial Derivatives - Applied optimization

Partial Derivatives - Lagrange multipliers

Multiple Integrals - Approximating double integrals

Multiple Integrals - Double integrals

Multiple Integrals - Double integrals in polar coordinates

Multiple Integrals - Applications of double integrals

Multiple Integrals - Approximating triple integrals

Multiple Integrals - Triple integrals

Multiple Integrals - Triple integrals in cylindrical coordinates

Multiple Integrals - Triple integrals in spherical coordinates

Multiple Integrals - Change of variables

Multiple Integrals - Applications of triple integrals

Vectors - Introduction to vectors

Vectors - Dot products

Vectors - Cross products

Vectors - Vector functions and space curves

Vectors - Derivatives and integrals of vector functions

Vectors - Arc length and curvature

Vectors - Velocity and acceleration

Vectors - Line integrals

Vectors - Green's Theorem

Vectors - Curl and divergence

Vectors - Parametric surfaces and areas

Vectors - Surface integrals

Vectors - Stokes' and divergence theorem

Final exam and wrap-up