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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
