4 x 50-minute lectures weekly
1 x 90-minute tutorial weekly
4 x 2-hour computer labs per semester
Enrolment not permitted
MATH1121 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.
Written Tutorial Questions, On-line Tests
Topic description
Mathematics Fundamentals B comprises the final four modules out of the total of eight modules offered between MATH1701 Mathematics Fundamentals A and MATH1702 Mathematics Fundamentals B.

The four modules which students will take in Mathematics Fundamentals B are:

Module 5. Unit Circle, angle addition formulas, double and half angle formulas, trigonometric identities, sine and cosine as functions, graphs of trigonometric equations.

Module 6. Negative and fractional exponents, logarithms, graphs of logs and exponential functions, derivatives of exponential functions.

Module 7. Matrices, solutions to systems of linear equations, matrix multiplication and inverses.

Module 8. Counting, permutations, combinations, sets, binomial theorem, elementary probability.

Students should complete Fundamentals A before enrolling in Fundamentals B, to ensure that they are comfortable with the first four modules.
Educational aims
These topics develop students' understanding and skills in Mathematics fundamentals and their applications.
Expected learning outcomes
On completion of this topic, students will be expected to be able to:

  1. Show fluency in basic quantitative, algebraic and graphical manipulations
  2. Write simple mathematics with accuracy and clarity
  3. Solve problems involving elementary but key mathematical ideas in algebra, sets, counting techniques, probability, trigonometry and elementary calculus