Math 2C03 Final

#math/2c03

Unsorted Shit I Need to Study

Cauchy-Euler

Partial Differential Equation

Pre Midterm 1

Ordinary Differential Equation
Separable First Order ODEs
Existence and Uniqueness Theorem for First Order Nonlinear Differential Equations
Homogenous ODE
Autonomous ODE and Non-Autonomous ODE
Linear ODE (Linear vs Non-linear)

Word Problems

Mixing Problems
Newton's Law of Cooling

Exact ODE

Graphing Stuff

Critical Point
Isocline

First Order DEs

Separable First Order ODEs
Applications of Separable ODEs
Exact ODE
Bernoulli's Equation
Euler's Method

Second Order DEs

Reduction of Order
Fundamental Set of Solutions
Integrating Factor for Second Order ODEs
- todo: check if theres a better name / place to put this
Method of Variation of Parameters

Post Midterm 1

Math 2C03 Midterm 2 Prep

Laplace Transform
Inverse Laplace Transform
Application: Impulses
Dirac Delta Function

Post Midterm 2

Convolution
Heaviside Function

Power Series Stuff

Power Series
Analytic Function
Ordinary Point
Singular Point

Existence of Power Set Solutions near Ordinary Points