Courses :: Module, ANALYSIS II (E)

	Overview
	Module Objective: To enable the students to become competent with rigorous analytic arguments. Rigorous treatment of differentiation. Riemann integration. Complex numbers. Introduction to ordinary and partial differential equations. Fourier series. Approximation by polynomials. Consideration of how these topics could be taught in a second level classroom.

Overview

Module Objective:
To enable the students to become competent with rigorous analytic arguments.

Rigorous treatment of differentiation. Riemann integration. Complex numbers. Introduction to ordinary and partial differential equations. Fourier series. Approximation by polynomials. Consideration of how these topics could be taught in a second level classroom.

	Learning Outcomes
	On successful completion of the module, students should be able to: Understand the full definitions of differentiation and Riemannian integration. Use the algebra of the complex plane with some facility. Solve some standard ordinary and partial differential equations. Calculate Fourier series and understand their significance. Prove simple analytic statements using rigorous arguments. Demonstrate how this subject could be taught in a second level classroom.

Learning Outcomes

	Autumn Supplementals/Resits
	1.5 hour 'in-house' written examination. Continuous assessment is carried forward to the autumn.

Autumn Supplementals/Resits

	Timetable
	This timetable is not currently available, please contact the Mathematics And Statistics Department.

Timetable

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ANALYSIS II (E)