Module Identifier MA10110  
Academic Year 2003/2004  
Co-ordinator Dr V Mavron  
Semester Semester 1  
Other staff Professor Tim Phillips  
Pre-Requisite A-level Mathematics or equivalent.  
Course delivery Lecture   20 x 1 hour lectures  
  Seminars / Tutorials   5 x 1 hour tutorials  
  Other   Workshop. 2 x 1 hour workshops (including test)  
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours (written examination)  75%
Semester Assessment Continuous Assessment:  25%
Supplementary Assessment2 Hours (written examination)  100%

Learning outcomes

On completion of this module, a student should be able to:

Brief description

This module introduces some of the fundamental notions of geometry - points, lines, curves, planes and surfaces - analytically, in the language of coordinate geometry. Conics are classified in terms of their equations and geometric properties. The concepts of tangent and normal are developed.


To develop geometric intuition and the ability to view geometric problems analytically and vice versa.


  1. COORDINATE GEOMETRY IN THE REAL PLANE: The straight line. Loci. Conics - particular forms and the general form. Identification of centres, foci and major and minor axes. Cases of degeneracy. The general equation of the tangent. Families of lines and conics. Parametric plane curves. Tangents and the use of derivatives. Polar coordinates.
  2. INTRODUCTION TO VECTOR METHODS: Unit vectors. Scalar and vector products, angles and orthogonality. Position vectors. Linearly independent vectors. Vector equations of lines and planes. Introduction to kinematics.

Reading Lists

** Recommended Text
J Stewart (2001) Calculus: concepts and contexts 2nd edition. Brooks/Cole 0534377181


This module is at CQFW Level 4