1.0 Mathematics

 

1.1 Trigonometry and Geometry

1.2 Exponents and Logarithms

1.3 Calculus

1.4 Transforms

1.5 Series

1.1 Trigonometry and Geometry

 

Sin Function

 

Cos Function

 

Tan Function

 

Angles

 

 

 

Product Relations

 

Sum Relations

 

Power Relations

 

Exponential Relations

 

Triangles

 

Law of Sines

 

Law of Cosines

Definitions

Straight Line

Circle

 

 

 

 

 

 

Ellipse

 

Hyperbola

 

Parabola

Quadratic Formula

1.2 Exponents and Logarithms

Law of Exponents

 

 

Logarithms

 

 

Log Base Conversion

1.3 Calculus

1.3.1 Derivatives

 

Note: a & n are constants, and u & v are functions of x.

 

1.3.2 Integrals

Basic Forms

Note: a constant of integration is to be added to each indefinite integral

 

Trigonometric Forms

Note: a constant of integration is to be added to each indefinite integral

 

Exponential Forms

Note: a constant of integration is to be added to each indefinite integral

1.4 Transforms

1.4.1 Fourier Transform

For Even Functions

For Odd Functions

Harmonic Transform

Inverse Fourier Transform

Fourier Expansions of Periodic Functions

Fourier Transform Pairs

1.4.2 Laplace Transform

Table of Laplace Transforms

Table of Laplace Transforms [cont]

1.4.3 Z Transform

Table of Z Transform Pairs

1.5 Series

Binomial Expansions

 

Taylor Series

Exponential

Logarithmic

 

Trigonometric

 

Fourier