User:Jswendell/CTCS NUMERACY 4

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Please contact the University of Pappua New Guinea for more information: [UPNG Website]

GRAPHS AND FUNCTIONS

Graphs and Functions are very important components that play similar or rather unifrom roles in understanding mathematics. Functions arise to represent or describe some physically exisitng phenomenan in the form of equations whereas graphs.


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Objectives

The following are the main objectives of this unit.

  • Introduction to functions
  • Real Numbers
  • Linear Functions
  • Quadratic Functions
  • Find the Roots of Linear Functions
  • Find the Roots of Quadratic Functions


Linear Functions

VECTORS

Vectors play a very important role in Mathematics


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Objectives

Main Objectives of this Unit are:

  • Scalar and Vector Quantities
  • Addition and Subtraction of Vectors
  • Multiplication and Division of Vectors
  • One-Dimensional Vectors
  • Two Dimensional Vectors


LOGARITHMS AND EXPONENTIAL FUNCTIONS

Logarithms and Exponential functions have wide range of applications from engineering to econiomics and even in biology. ((Objectives| The Objectives of this unit are:

  • Addition of Logarithimic and Exponential Functions
  • Subtraction of Logarithimic and Exponential Functions
  • Multiplication of Logarithimic and Exponential Functions
  • Division of Logarithimic and Exponential Functions

TRIGONOMETRIC FUNCTIONS

One of the unique group of functions are the Trigonometric Functions.


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Objectives

The main objectives of this unit are:

  • The Sine Function
  • The Cosine Function
  • The Tangent Function
  • The Inverse Trig Functions



SEQUENCES AND SERIES

Sequences and Series play very important roles in Mathematics.


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Objective
The main objectives of this unit are:
  • Defining Sequences
  • The Nth Term
  • Defining Series
  • Geometric Progression
  • Arithmetic Progression
  • The Sum of Series


INTRODUCTION TO CALCULUS

Calculus is a course in Mathematics that deals with applied problems.



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Objectives
  • The Tangent Line
  • Tagent or Gradient from First Principles
  • The Derivative of a Curve



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