|Delivery Type||Delivery length / details|
|Lecture||22 Hours. (22 x 1 hour lectures)|
|Seminars / Tutorials||11 Hours. (11 x 1 hour example classes)|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours (written examination)||100%|
|Supplementary Assessment||2 Hours (written examination)||100%|
On completion of this module, a student should be able to:
1. explain the difference between integers, rational and irrational numbers and work in different number bases;
2. manipulate numbers and symbols using the operations of algebra;
3. simplify algebraic expressions and inequalities;
4. solve linear and quadratic equations algebraically;
5. define a function and its domain and range;
6. differentiate polynomials, logarithmic and exponential functions.
The purpose of this module is to introduce some of the basic ideas of mathematics to students without A-level qualifications in Mathematics but who require mathematics in their main subject. The syllabus includes basic set theory; functions and graphs; indices, exponentials and logarithms; rates of growth; recurrence relations, arithmetic and geometric progressions; matrices and determinants, solution of linear equations and elementary descriptive statistics.
To introduce students to some of the basic concepts of mathematics and to develop their manipulative skills.
2. ALGEBRA: Rules of algebra, simplification of algebraic expressions, factorization, inequalities, the solution of linear and quadratic equations.
3. COMPLEX NUMBERS: Real and imaginary parts, modulus and argument, representation on the Argand diagram.
4. THE CONCEPT OF FUNCTION: Linear and quadratic functions, exponential and logarithmic functions, trigonometric functions and inverse functions.
5. CALCULUS: Introduction to curves, tangents and the derivative of a function, the rules of differentiation, rates of change.
This module is at CQFW Level 4