# Course: Mathematics for Physics I

Mathematical basics to be able to do physics. 1. 1

## The 16 most Important Geometric Objects: Overview with Formulas and Properties

Illustrated overview of all geometric solids with important properties as well as formulas for areas, volumes and other quantities.

Related formulas

2. 2

## Function: the Most Important Concept in Mathematics

What is a function in mathematics? Here the concept of a function is explained but also its types (surjective, injective, bijective).

3. 3

## What is the Difference Between Partial and Total Derivative?

What distinguishes a partial derivative (notated with the curved del symbol) from a total derivative (notated with a non-italic d letter)?

4. 4

## Differential Equations: All the Basics Everyone Should Know

Learn what differential equations are, what types there are (ordinary, partial, linear, homogeneous), and what boundary and initial conditions are good for.

5. 5

## Separation of Variables (SoV) and How to Solve Homogeneous DEQ's of 1st Order

Learn how to solve first order homogeneous differential equations using the separation of variables (SoV) method. With example for the decay law.

6. 6

## Variation of Constants and How to Solve Inhomogeneous Differential Equations of 1st Order

Learn "Variation of constants" - solution method. With its solution formula you can solve ordinary inhomogeneous differential equations of 1st order.

7. 7

## Exponential Ansatz and How to Solve Linear Differential Equations (of 2nd order)

Learn how to solve linear differential equations (2nd order) using the exponential approach and how to use the characteristic equation (+ example).

8. 8

## Separation of Variables and How to Solve Partial Differential Equations

Separation of variables (product approach) is suitable for converting partial differential equations (PDE's) into ordinary differential equations and then solving them with other methods.

9. 9

## Set Theory: Learn Subsets, Unions, Intersections and Differences

Learn set theory in a simple way: subset, intersection, union, difference, etc. using examples and Venn diagrams.

## The Most Useful Physics Formula Collection on the Internet

+ Perfect for high school and undergraduate physics students
+ Contains over 500 illustrated formulas on just 140 pages
+ Contains tables with examples and measured constants
+ Easy for everyone because without vectors and integrals