Looking for online learning materials for this unit?
Online course materials for MATH19641

Mathematics 1Q1


Unit code: MATH19641
Credit Rating: 10
Unit level: Level 1
Teaching period(s): Semester 1
Offered by School of Mathematics
Available as a free choice unit?: N

Requisites

None

Aims

The course unit aims to provide a course in calculus and algebra to students with A-level mathematics or equivalent in the School of Chemistry.
 

Learning outcomes

Knowledge and understanding: Be familiar with functions and geometry, differentiation, integration, vectors, simple ordinary differential equations and complex numbers. 
 
Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus
 
Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.

Assessment methods

  • Other - 20%
  • Written exam - 80%

Assessment Further Information

Diagnostic Followup Coursework (week 4); Weighting within unit 4%
 
Coursework 2 (week 7); Weighting within unit 8%
 
Coursework 3 (week 11); Weighting within unit 8%
 
2 hours end of semester 1 examination; Weighting within unit 80%

Syllabus

3 - 4 lectures : Revision : C2, C3 material as flagged by diagnostic test. Functions and Geometry : Rational Functions, Partial Fractions, Binomial. Inverse Trigonometric Functions; sec, csc and cot; trig identities; equations of lines and circles, parametric equations; polar coordinates.
 
    4 lectures : Differentiation : Simple Functions; product, quotient and chain rules; Parametric and Implicit Differentiation.
 
    3-4 lectures Integration : Indefinite and Definite Integrals; Integration of simple functions; Integration by parts and of (simple) rational functions.
 
    5 lectures Vectors : Vectors in component form; vector addition, parallelogram and triangle of vectors. Vector equation of straight line. Scalar and vector products. Triple Products
 
    3 lectures : Introduction to ODEs. : Examples of First and Second order ODEs. Role of arbitrary constants. Solution of First-order separable ODEs.
 
    3 lectures : complex numbers. Concept, real and imaginary parts, arithmetic operations. Polar form. 

Recommended reading

KA Stroud, Engineering Mathematics, Palgrave
    Croft et al., Introduction to Engineering Mathematics, Pearson
 

Study hours

  • Assessment written exam - 2 hours
  • Lectures - 22 hours
  • Tutorials - 10 hours
  • Independent study hours - 0 hours

Teaching staff

Colin Steele - Unit coordinator

▲ Up to the top