Year
2021
Units
4.5
Contact
4 x 50-minute lectures weekly
1 x 90-minute tutorial weekly
4 x 120-minute computer labs per semester
Enrolment not permitted
1 of MATH1121, MATH1203, MATH1205 has been successfully completed
Assumed knowledge
A working knowledge of the arithmetic of positive and negative numbers, numerical fractions, natural powers and roots, basic properties of circles, rectangles and triangles, the idea of a variable, polynomials, idea of Cartesian coordinates and simple plots.
Assessment
Revision quiz, Tests, Quizzes, Tutorial Participation
Topic description

This topic is comprised of four modules:

  • Module 1. Equations of straight lines, linear inequalities, absolute values
  • Module 2. Second degree polynomials and their graphs, techniques for solving quadratic equations and inequalities including factorisation, completing the square, and finding roots
  • Module 3. Relations, functions, graphs, rational functions, asymptotes, derivatives of polynomials
  • Module 4. Exponentials, logarithms, inverse functions, derivatives of exponentials and logarithms
Educational aims

This topic aims to develop students' understanding and skills in mathematics fundamentals and their applications.

Expected learning outcomes
On completion of this topic you will be expected to be able to:

  1. Show fluency in basic quantitative, algebraic and graphical manipulations
  2. Write mathematics with accuracy and clarity
  3. Solve problems involving polynomials, graphs, elementary calculus, exponentials and logarithms
  4. Work collaboratively and communicate mathematics clearly with others