Mathematics

01) Arithmetic Operations Precedence
02) Numbers Theory Introduction
03) GCD For Simple Numbers
04) Euclidean Algorithm to find GCD
05) Modular Arithmetic
06) Extended Euclidean Algorithm (Finding the Multiplicative Inverse)

01) Function Definition
02) Examples on Functions

01) Pythagorean Theorem
02) Trigonometric Functions
03) Degrees & Radians
04) Unit Circle
05) Graphing Sine and Cosine Functions
06) Trigonometric Identities

01) Equation of a Line
02) Solving Linear Equations - Example 1
03) Angle of Inclination
04) Application of Linear Equation (Fahrenheit to Celsius)
05) Solving Quadratic Equations by Factoring - Example 1
06) Solving Quadratic Equations by Factoring - Example 2
07) Solving Quadratic Equations by Factoring - Example 3
08) Solving Quadratic Equations by the Quadratic Formula - Example 1

01) Matrices - Important Terminologies
02) Matrices - Addition & Subtraction
03) Matrices - Multiplication
04) Transpose Of A Matrix
05) Determinants for 1x1,2x2 Matrices
06) Determinants for 3x3 Matrices Only (Repeating Columns)
07) Determinants for 3x3 Matrices and Above (Minor & Cofactor)
08) Determinants for 4x4 Matrices(Minor & Cofactor)
09) Determinants for 3x3 Matrices and Above (Gauss's Method)
10) Determinant for 4x4 Matrix Using (Gauss's Method) Example 1
11) Determinant for 4x4 Matrix Using (Gauss's Method) Example 2
12) Converting Linear Equations to Matrices
13) Cramer's Method (two linear equations)
14) Cramer's Method (three linear equations)
15) Inverse of (2x2) Matrix
16) Inverse of (2x2) Matrix (Fast Method)
17) Inverse of (3x3) Matrix
18) Inverse Method (three linear equations)
19) Eigen Value & Eigen Vector

01) Inegration Basic Rules
02) Integration of Trigonometric Functions
03) Integration Basic Rules (Examples)
04) Integration Basic Rules (More Examples)
05) Integration Methods (U Substitution)
06) Integration Methods (U Substitution) (More Examples)
07) Integration Methods (Integration By Parts)
08) Integration Methods (Integration By Parts) (More Examples)
09) Integration Methods (Integration By Parts) (More Than Once)
10) Integration Methods (Tabular Method)
11) Integration Methods (Trigonometric Substitution)
12) Integration Methods (Trigonometric Substitution) (More Examples)
13) Integration Methods (Trigonometric Substitution) (More Examples)
14) Integration Methods (Involving Quadratic Equation)
15) Integration Methods (Involving Quadratic Equation) (More Examples)
16) Integration Methods (Integration by Long Division)
17) Integration Methods (Partial Fractions Case 1)
18) Integration Methods (Partial Fractions Case 2)
19) Integration Methods (Exponents Substitution)
20) Integration Methods (Rational Functions of Sine and Cosine)
21) Integration Methods (Products of Sines and Cosines of Different Angles)
22) Definite Integral
23) Definite Integral (Example)
24) Double Integral
25) Double Integral (Example)
26) Changing Double Integration
27) Changing Double Integration (Examples)
28) Changing Double Integration (Examples)

01) Parametric Equations
02) Polar Coordinates
03) Graphing Polar Equations
04) Double Integral of Polar Equations
05) Double Integral of Polar Equations Finding Limits
06) Double Integral of Polar Equations Finding Limits
07) Changing Double Integral into Polar Coordinates
08) Changing Double Integral into Polar Coordinates (Examples)

01) Fourier Series - Intro
02) Fourier Series for the period a to a+2pi
03) Fourier Series for the period a to a+2pi (Example)
04) General Fourier Series
05) Fourier Series for Odd and Even Functions
06) Fourier Series Half Range
07) Fourier Series Half Range (Example)

01) Differential Equations Intro
02) 1st Order d.e. Separation of Variables Method
03) 1st Order d.e. Linear Equation
04) 1st Order d.e. Linear Equation (Bernoulli's Equation)
05) 2nd Order Homogeneous d.e. (Missing y)
06) 2nd Order Homogeneous d.e. (Missing x)
07) 2nd Order Homogeneous d.e. (Missing x) (Examples)
08) 2nd Order Non-Homogeneous d.e. Undetermined Coefficients Method (Polynomial Case)
09) 2nd Order Non-Homogeneous d.e. Undetermined Coefficients Method (Exponential Function Case)
10) 2nd Order Non-Homogeneous d.e. Undetermined Coefficients Method (Sin(x) and Cos(x) Case)
11) 2nd Order Non-Homogeneous d.e. Undetermined Coefficients Method (Mixed Case)
12) 2nd Order Non-Homogeneous d.e. Variation of Parameters Method
13) 2nd Order Non-Homogeneous d.e. Variation of Parameters Method (Example)
14) High Order d.e. (Examples)
15) High Order d.e. (Examples)
16) High Order d.e. (Examples)
17) Solving d.e. Using Power Series
18) Solving d.e. Using Power Series (General Method)
19) Solving d.e. Using Power Series (General Method Examples)

01) Wave Equation Case 1
02) Wave Equation Case 2
03) Wave Equation Case 3