
Functions
 Functions and Relations
 Domain and Range
 Even and odd functions
 Transformation of functions
 Trigonometric equations
Trigonometry
 Graphs of Sine and cosine
 Transformations of sine and cosine
 Inverse trigonometric functions
 Sinusoidal equations and models
 Angle addition
 Using trigonometric identities
Polynomials
 Addition and subtraction of polynomials
 Division of polynomials
 Binomial theorem
 Graphs of polynomial functions and solving equations
 Graphing rational functions and reciprocal functions
Exponential and Logarithms
 Applications of exponential functions
 Logarithms
 Solving exponential and logarithmic equations
 Graphing logarithmic functions
Conic sections
 Feature of a circle
 Equations of a circle
 Center, radii, focii of an ellipse
 Focus and directrix of a parabola
 Hyperbola
Vectors
 Introduction to vectors
 Operations with vectors
 Applications of vectors
Complex numbers
 Complex numbers and imaginary numbers
 The complex plane: Complex numbers
 Addition, Subtraction and Multiplication of complex numbers
 Distance and midpoint of complex numbers
 Complex conjugates and dividing complex numbers
 Identities with complex numbers
 Absolute value and angle of complex numbers
 Polar form of complex numbers, multiplication and division
Matrices
 Introduction
 Representing linear systems of equations with augmented matrices
 Matrix row operations
 Rowechelon form and Gaussian elimination
 Addition, Subtraction, Multiplication of Matrices
 Multiplying matrices by scalars
 Properties of matrix addition & scalar multiplication
 Properties of matrix multiplication
 Matrices as transformations
 The determinant of a 2×2 matrix
 Finding the inverse of a matrix using its determinant
 Solving equations with inverse matrices
 Model realworld situations with matrices
Note: Any other topic as per inputs by students provided during the course will be covered