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**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
- Row-echelon 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 real-world situations with matrices

*Note: Any other topic as per inputs by students provided during the course will be covered*