Module Identifier MA10110  
Academic Year 2001/2002  
Co-ordinator Dr V Mavron  
Semester Semester 1  
Other staff Professor T Phillips  
Pre-Requisite A-level Mathematics or equivalent.  
Course delivery Lecture   20 x 1 hour lectures  
  Seminars / Tutorials   5 x 1 hour tutorials  
  Workshop   2 x 1 hour workshops (including test)  
Assessment Continuous assessment     25%  
  Exam   2 Hours (written examination)   75%  
  Resit assessment   2 Hours (written examination)   100%  

General 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.

Learning outcomes

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


1. COORDINATE GEOMETRY IN THE REAL PLANE: The straight line. Conics - particular forms and the general form. Identification of centres, foci and major and minor axes. Cases of degeneracy. Changes of axes. The general equation of the tangent. Families of lines and conics. Parametric plane curves. Tangents and the use of derivatives.
2. GEOMETRY IN REAL 3-SPACE: Cartesian coordinates. Equations of lines and planes. The normal. Curves, their tangents and other special direction. Surfaces and their tangent planes. Polar coordinates.
3. INTRODUCTION TO VECTOR METHODS: Unit vectors. Scalar and vector products, angles and orthogonality. Position vectors. Linearly independent vectors. Vector equations of lines and planes.

Reading Lists

** Recommended Text
R L Finney and G B Thomas. (1994) Calculus. 2nd. Addison-Wesley 0201549778