Exercise Files
Functions and graphs
By the end of this module, students will be able to:
Apply algebraic techniques to solve mathematical problems.
Understand and work with a variety of functions and their graphs.
Solve linear and nonlinear equations and inequalities.
Use trigonometric relationships in problem-solving.
Develop confidence and competence in mathematical reasoning.
Basic trigonometry
Introduction to analytical geometry
The straight line
The parabola
The hyperbola
The circle
The ellipse
The central hyperbola
Systems of Equations and Inequalities
Binomial Theorem
Polar and Rectangular Form of Complex Numbers; De Moivre’s Theorem
Geometry and measurements of areas and volumes
Systems of equations and determinants
Properties of determinants
Value of a determinant
Cramer’s rule
Partial fractions
Proper fractions
Improper fractions
Complex numbers
Imaginary and complex numbers
Operations with complex numbers
Polar and exponential form
Operations in polar and exponential form
