Courses in Foundational Math
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- Geometry I
- Reasoning with Algebra
- Functions and Quadratics
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Courses covered
Calculus Fundamentals
- Continuity
- Derivatives
- Extrema
- Implicit Derivatives
- L'Hôpital's Rule
- Limits
- Newton's Method
- Physics Applications
- The Chain Rule
- The Squeeze Theorem
Multivariable Calculus
- Chain Rule
- Extreme Value Theorem
- Gradient
- Hessian Test for Critical Points
- Jacobians & Variable Changes
- Lagrange Multipliers
- Limits and Continuity
- Multiple Integrals
- Multivariable Functions & Graphs
- Partial Derivatives
Vector Calculus
- Curl
- Differential Forms
- Divergence Theorem
- Flux
- Fourier Transform
- Line Integrals
- Maxwell's Equations
- Parametric Surfaces
- Space Curves
- Stokes' Theorem
- Surface Integrals
- Vector Fields
Introduction to Linear Algebra
- Bases
- Determinants
- Diagonalizable Matrices
- Eigenvalues and Eigenvectors
- Gaussian Elimination
- Gram-Schmidt Process
- Inner Products
- Inverses
- Linear Independence
- Linear Transformations
- Matrices
- Subspaces
- Tensors & Tensor Products
- Vector Spaces
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