INTRODUCTION TO ANALYSIS

INTRODUCTION TO ANALYSIS
Course Code
MA 2005
Credit Points
15
Course Coordinator
Professor M Geck

Pre-requisites

MA 1002 or, with the permission of the Head of Mathematical Sciences, both MA 1004 and MA 1504. This course may not be included in a minimum curriculum with EG 2010.

Overview

This course aims to put on a sound footing many of the results and procedures used in the Calculus. It will include a discussion of fundamental properties of real numbers, sequences and limits, functions of one real variable (basic examples, continuity and differentiability), some applications (eg approximation by Taylor polynomials), integration of functions of one real variable, the "Fundamental Theorem of Calculus" and further applications (for example to are lengths of curves in the plane).

Structure

3 one-hour lectures and 1 one-hour tutorial per week (to be arranged).

Assessment

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%).

Resit: 1 two-hour written examination paper (maximum of 100% resit and 80% resit with 20% in-course assessment).