1.1 Review on Number System
1.2 Review on algebra
1.2.1 Basic operations
1.2.2 Fractions
1.2.3 Radicals
1.2.4 Absolute value
1.3 Indices and Logarithms
1.4 Absolute Value
1.4.1 Definition of absolute value
1.4.2 Equations involving absolute value
1.4.3 Inequalities involving absolute value

2.1 Introduction to function
2.1.1 Domain and range
2.1.2 Even and odd functions
2.1.3 Operations on functions
2.2 Inverse function
2.3 Composite function
2.4 Solution to Equations
2.4.1 Linear, quadratic and cubic equations
2.5 Logarithmic and exponential functions

3.1 Introduction to Quadratic Functions
3.1.1 Graphs of quadratic functions
3.2 Solving quadratic equations
3.2.1 Factorization, completing square
3.3 Nature of Roots of a Quadratic Equation

4.1 System of Equations
4.1.1 Solving simultaneous equations with two variables for linear
4.1.2 Solving simultaneous equations with two variables for non-linear equation
4.2 System of inequalities
4.2.1 Properties of inequalities
4.2.2 Solving inequalities – linear and quadratic

5.1 Cartesian coordinates
5.1.1 Basic graphs
5.1.2 Gradient, Distance and midpoint
5.1.3 Equation of a circle
5.2 The equation of a straight line in the form y=mx+c or ax+by+c=0
5.3 The equation of a straight line of the form y-y1=m(x-x1)
5.4 Parallel and perpendicular lines
5.5 Intersection between two lines

6.1 Basic angle, Radian and Degree
6.2 Trigonometric Ratios
6.3 Solving Trigonometric Equations (Linear and Quadratic Equations)
6.4 Graphs of trigonometric functions
6.5 Basic Trigonometric Identities
6.5.1 Double angle formula
6.5.2 Half angle identities

7.1 Introduction to matrices
7.1.1 Types of matrices
7.1.2 Basic operation of matrices
7.1.3 Properties of matrix operations
7.2 Inverse matrices
7.3 Solving system of Linear Equations using Matrices

8.1 Introduction to vectors
8.1.1 Position vectors
8.2 Basic operation of vectors

A1 : MAT 406 Foundation Mathematics is really just another stop on the road to Calculus. Therefore, we are starting here, at the very beginning, reviewing concepts of Foundation Mathematics. To tackle the next level of Mathematics course in the university, the fundamentals are important. That is why they are called Foundation Mathematics. We hope that you have time to review and learn this course because it will save you countless hours of frustration in the future!