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  2. Higher Certificate In Mathematics and Statistics
  3. MAT1510 - Precalculus Mathematics A

MAT1510 - Precalculus Mathematics A

This module covers the fundamental concepts of precalculus mathematics. Students will learn to draw and interpret various types of functions and solve related equations and inequalities.

Functions and Graphs

  • 1.1Definition of a function
  • 1.2Types of functions
  • 1.3Graphing functions

Linear Functions

  • 2.1Slope and intercepts
  • 2.2Graphing linear equations
  • 2.3Applications of linear functions

Quadratic Functions

  • 3.1Standard form of a quadratic function
  • 3.2Vertex and axis of symmetry
  • 3.3Graphing quadratic functions
  • 3.4Solving quadratic equations

Absolute Value Functions

  • 4.1Definition and properties
  • 4.2Graphing absolute value functions
  • 4.3Solving absolute value equations

Exponential and Logarithmic Functions

  • 5.1Properties of exponential functions
  • 5.2Graphing exponential functions
  • 5.3Definition of logarithms
  • 5.4Logarithmic properties and equations

Trigonometric Functions

  • 6.1Basic trigonometric ratios
  • 6.2Graphing trigonometric functions
  • 6.3Solving trigonometric equations

Inequalities

  • 7.1Solving linear inequalities
  • 7.2Solving quadratic inequalities
  • 7.3Graphical representation of inequalities

Applications of Functions

  • 8.1Real-life applications of linear functions
  • 8.2Applications of quadratic functions
  • 8.3Exponential growth and decay

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