MATH1701 Mathematics Fundamentals A

2016

4.5

2 x 2-hour lectures weekly
1 x 1.5-hour tutorial weekly
4 x 2-hour computer labs per semester

1 of MATH1121, MATH1203, MATH1205 has been successfully completed

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.

Summer Class Contact:

5 2-hour lectures weekly (for 5 weeks)

2 2-hour tutorials weekly (for 5 weeks)

3 2-hour computer labs per semester

Placement Test, Written Tutorial Questions, On-line Tests

Mathematical Fundamentals A and B will comprise four modules each. All eight modules will be taught each semester, but students are allowed to combine any four modules to form a single semester of either Mathematical Fundamentals A or Mathematical fundamentals B, subject to the dependency of modules as set by the topic coordinator.

Module 1. Equations of straight lines, linear inequalities, absolute value.

Module 2. Second degree polynomials and their graphs, factoring, completing the square, solving quadratic equations.

Module 3. Trigonometry of right angle triangles, solutions to simple trigonometric equations.

Module 4. Unit Circle, angle addition formulas, double and half angle formulas, trigonometric identities, sine and cosine as function, graphs of trigonometric equations.

Module 5. Functions, graphs, asymptotes, derivatives and integrals of polynomials, sine and cosine.

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

Module 7. Matrices, solutions to systems of equations, multiplication of matrices.

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

These topics develop students' understanding and skills in Mathematics fundamentals and their applications.

At the completion of the topic, students are 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, geometry, sets, counting techniques, probability, trigonometry and elementary calculus