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Calculus & Linear Algebra

Module 1

Multivariable Calculus

Partial Derivatives & Gradients

Multiple Integrals: Double & Triple

Vector Fields & Line Integrals

Green's, Stokes', & Divergence Theorems

Module 1 Quiz

Module 2

Linear Algebra

Vectors & Vector Spaces

Matrix Operations & Determinants

Eigenvalues & Eigenvectors

Linear Transformations

Module 2 Quiz

Module 3

Differential Equations

First-Order ODEs: Separable & Linear

Second-Order Linear ODEs

Systems of Differential Equations

Laplace Transforms

Module 3 Quiz

Module 4

Series & Sequences

Convergence Tests for Series

Taylor & Maclaurin Series

Fourier Series

Power Series & Radius of Convergence

Module 4 Quiz

Module 5

Numerical Methods

Root-Finding: Newton-Raphson & Bisection

Numerical Integration: Simpson's & Trapezoidal

Numerical Solutions to ODEs

Error Analysis in Numerical Methods

Module 5 Quiz

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MAT 201Differential EquationsSecond-Order Linear ODEs

Lesson· 30 min

Second-Order Linear ODEs

Writing on the board…

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Systems of Differential Equations