## Mathematics For An Undergraduate Physics Course

This post is meant to identify and briefly teach you the mathematics needed for a Physics course. (Not all) I will provide links to the websites that teach the relevant topics. Year 1 Calculus Integration without integration Differential Equations First Order Differential Equations Second Order Differential Equations Linear Algebra Coordinate Transformation Under Rotation Great lecture series by MIT (Youtube): httpvp://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 ____________________________________ …

## Integration Table

Table Of Basic Integrals Basic Forms \begin{equation} \int x^n dx = \frac{1}{n+1}x^{n+1},\hspace{1ex}n\neq -1 \end{equation} \begin{equation} \int \frac{1}{x}dx = \ln |x| \end{equation} \begin{equation} \int u dv = uv – \int v du \end{equation} \begin{equation} \int \frac{1}{ax+b}dx = \frac{1}{a} \ln |ax + b| \end{equation} Integrals of Rational Functions \begin{equation} \int \frac{1}{(x+a)^2}dx = -\frac{1}{x+a} \end{equation} \begin{equation} \int (x+a)^n dx = \frac{(x+a)^{n+1}}{n+1}, n\ne -1 …