Calculus 3 (multivariable calculus), part 1 of 2
Towards and through the vector fields, part 1 of 2: Functions of several real variables and vector-valued functions
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48 hours
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Apr 2025
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What you will learn
How to solve problems in multivariable calculus (illustrated with more than 200 solved problems) and why these methods work.
Parameterize some curves (straight lines, circles, ellipses, graphs of functions of one variable, intersections of two surfaces).
Describe position, velocity, speed and acceleration; compute arc length of parametric curves; arc length parametrization.
Limits, continuity and differentiability for functions of several variables. Theory, geometric intuitions, and lots of problem solving.
Several variants of the Chain Rule, involving different kinds functions. You will also learn how to apply these variants of the Chain Rule for problem solving.
Several variants of the Implicit Function Theorem, with various geometrical interpretations; problem solving.
Optimization of functions of several variables, both on open domains and on compact domains (Lagrange multipliers on the boundary, etc.).
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Related Topics
3154046
udemy ID
5/21/2020
course created date
9/15/2020
course indexed date
hoanglebku
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