Mathemation
Welcome to Mathemation! My name is Zack Cramer, and I'm a Teaching Stream Assistant Professor in the Faculty of Mathematics at the University of Waterloo. On this channel you'll find some of the video lessons I've put together for my past courses.
I am inspired by the many of fantastic mathematics channels on YouTube, including Khan Academy and 3Blue1Brown; as well as my wonderful and talented colleagues at Waterloo and around the world. I hope you enjoy my take on this content. Happy learning!
Volumes by Cylindrical Shells: Examples
Объемы по цилиндрическим оболочкам
Понимание фундаментальной теоремы исчисления
Convergence of a Sequence by Definition
Getting Started with Triple Integrals
More Integrals in Cylindrical and Spherical Coordinates
Preview - Triple Integrals
Preview - Taylor Polynomials for Multivariable Functions
Preview - Tangent Planes and Linear Approximation
Preview - Coordinate Systems in R2 and R3
The Method of Lagrange Multipliers
Multivariate Limits and the Squeeze Theorem - Examples
Multivariate Limits and Continuity
The Multivariable Chain Rule
Differentiability in Multivariable Calculus
Gradients and Directional Derivatives
The Image of 2D Mapping - Example
Matching Functions to Level Curves
Constrained Optimization - Example
The Change of Variables Theorem
Double Integrals
Taylor Polynomial Shortcuts - Examples II
Change of Variables - Examples I
Double Integrals in Polar Coordinates
Double Integrals over Rectangles - Examples II
Lagrange Multipliers
Calculus with Parametric Curves
Tangent Planes
Linear Approximation for Multivariable Functions
Multivariable Functions - Examples I