Course Catalog
MathematicsIntermediateMAT 201
Calculus & Linear Algebra
Multivariable calculus, linear algebra, and differential equations
5 modules
25 lessons
~20h
4 credit hours
Taught by Selin Math AI
What you'll learn
Compute partial derivatives, gradients, and multiple integrals
Apply vector calculus: Green's, Stokes', and Divergence theorems
Solve systems of equations using matrices and eigenvalue analysis
Solve first and second-order ODEs
Compute Taylor and Fourier series expansions
Prerequisites
Course Curriculum
25 lessons totalModule 1 Quiz
Ed Plus10m
Module 2 Quiz
Ed Plus10m
First-Order ODEs: Separable & Linear
Ed Plus25m
Second-Order Linear ODEs
Ed Plus30m
Systems of Differential Equations
Ed Plus25m
Laplace Transforms
Ed Plus25m
Module 3 Quiz
Ed Plus10m
Convergence Tests for Series
Ed Plus25m
Taylor & Maclaurin Series
Ed Plus25m
Fourier Series
Ed Plus30m
Power Series & Radius of Convergence
Ed Plus20m
Module 4 Quiz
Ed Plus10m
Root-Finding: Newton-Raphson & Bisection
Ed Plus25m
Numerical Integration: Simpson's & Trapezoidal
Ed Plus25m
Numerical Solutions to ODEs
Ed Plus25m
Error Analysis in Numerical Methods
Ed Plus20m
Module 5 Quiz
Ed Plus10m
Ed Plus
First 2 modules free
Modules5
Lessons25
Estimated time~20h
Credit hours4