Calculus
Took this course twice, once at Marianopolis College and again during Fall 2021 at Waterloo.
Link to course notes (MATH117) here. Link to course notes (MATH119) here.
Differential Calculus
Differential Calculus Theorems
These theorems apply to continuous functions.
- Differentiability Implies Continuity
- Mean Value Theorem
- Extreme Value Theorem
- Intermediate Value Theorem
- L’Hopital’s Rule
Integral Calculus
Multivariate Calculus
- Multivariate Function
- Multivariate Limits
- Partial Derivatives
- Parametric Equation
- Differentials
- Method of Lagrange
- Directional Derivatives
- Gradient Vector
- Double Integrals
- Coordinate System
- Change-of-Variable Formula
Midterm topics that I struggle with
- Parametric Equation
- Directional Derivatives (almost there, we are there to master it)
- Method of Lagrange