Module Information

Module Identifier
Module Title
Mathematics Tutorial
Academic Year
Semester 2 (Taught over 2 semesters)
Other Staff

Course Delivery

Delivery Type Delivery length / details
Tutorial 11 x 2 Hour Tutorials


Assessment Type Assessment length / details Proportion
Semester Exam 2 Hours   Two hour written Examination  70%
Semester Assessment Ten assessed problem sheets  30%
Supplementary Exam 2 Hours   Two hour written Examination  100%

Learning Outcomes

On completion of this module, students should be able to:
1. solve certain polynomials of small degree;
2. obtain and use relations between the roots and coefficients of polynomials;
3. simplify algebraic expressions and inequalities;
4. compute with trigonometric functions and use trigonometric identities;
5. explain the difference between integers, rational and irrational numbers;
6. manipulate complex numbers using operations of algebra;
7. define a function and its domain and range;
8. manipulate expressions involving the exponential and logarithmic functions;
9. differentiate polynomials, logarithmic and exponential functions;
10. integrate polynomials and calculate areas.

Brief description

The aim of this module is to provide you with regular contact time, over a variety of core maths topics, during which you will be actively "doing" maths problems. We (the Maths Department) understand that you have particular needs, or alternative backgrounds, and this module is aimed at providing you and your peers with additional support throughout the Foundation Year. The weekly two hour workshops/tutorials which comprise the course will contain traditional instruction, however the emphasis
is on you attempting and completing questions.


The aims of this module are to increase awareness in the technical skills associated with basic mathematics; to develop analytical skills; to develop an appreciation of the need for logical order and precision; to increase confidence in understanding and solving mathematical problems.


1. POLYNOMIALS. Factors and roots. The Remainder Theorem. Relations between roots and coefficients of a polynomial. Inequalities.
2. TRIGONOMETRY. Trigonometric functions and identities. Graphs of trigonometric functions.
3. REPRESENTATION OF NUMBERS. Natural numbers, integers, fractions, decimals, the law of indices, exponents, logarithms.
4. COMPLEX NUMBERS. Real and imaginary parts, modulus and argument, representation on the Argand diagram.
5. FUNCTIONS. Definition of a function. Domain, range. Exponential and logarithmic functions. Inverse functions.
6. CALCULUS. Introduction to curves, tangents and the derivative of a function, the rules of differentiation, rates of change. Integration as anti-derivative. Calculating areas by integration.

Module Skills

Skills Type Skills details
Application of Number
Communication Written answers to exercises must be clear and well structured.
Improving own Learning and Performance Students are expected to develop their own approach to time-management regarding the completion of assignments on time and preparation between classes.
Information Technology Use of Blackboard and STACK.
Personal Development and Career planning Completion of task (assignments) to set deadlines will aid personal development.
Problem solving The assignments will give the students opportunities to show creativity in finding solutions and develop their problem solving skills.
Research skills N/A
Subject Specific Skills Broadens exposure of students to topics in mathematics.
Team work Students will be encouraged to work together on questions during problem classes.


This module is at CQFW Level 3