EC119 Mathematical Analysis
Arrangements
Weeks 1-10, Autumn term, 2010/2011.
15 CATS
Module leader
Dr Nicholas Jackson
Class tutor
Dr Mark Cummings
Synopsis
This is an optional module for students who enjoyed mathematics at A-level and would like to learn more.
This module will focus on the calculus of functions of real variables.
Syllabus
Set theory
Real numbers
Complex numbers
Proof and reasoning
Functions
Counting
Limits
Continuity
Differentiability
L'Hôpital's Rule
Taylor's Theorem
Integration
First-order differential equations
Second-order differential equations
Lectures
Monday 2pm-3pm, Ramphal R0.12
Friday 11am-12pm, Science L5
Classes
Tuesday 10am-11am, Humanities H3.57
Tuesday 12pm-1pm, Humanities H0.58
Wednesday 11am-12pm, Humanities H0.43
Assessment
20%: Five homework assignments (deadline: 12pm on Fridays of even-numbered weeks)
80%: 1½–hour exam, June 2011
Recommended textbooks
S Lipschutz
,
Set Theory and Related Topics
, Schaum Outline, McGraw-Hill (1964)
QA 248.L4
F M Hart
,
Guide to Analysis
, Macmillan (2001)
QA 300.H2
R P Burn
,
Numbers and Functions
, Cambridge (2000)
QA 300.B8
G H Hardy
,
A Course of Pure Mathematics
, Cambridge (2008)
QA 303.H2