MA1CANU-Calculus

Module Provider: Mathematics and Statistics
Number of credits: 20 [10 ECTS credits]
Level:4
Semesters in which taught: Semester 1 / 2 module
Pre-requisites:
Non-modular pre-requisites:
Co-requisites: MA1LANU Linear Algebra
Modules excluded:
Current from: 2023/4

Module Convenor: Dr Peter Chamberlain
Email: p.g.chamberlain@reading.ac.uk

NUIST Module Lead: Yan Li
Email: liyan_nuist@126.com

Type of module:

Summary module description:

This module covers core topics in calculus.

Aims:

To build on and develop students' understanding of pre-university mathematics, especially the calculus and to extend this into two or more dimensions. Techniques of solution of ordinary differential equations of the first and second order, and simple applications will also be presented. Emphasis will be placed on appreciation of the real world applications of such mathematics.

Assessable learning outcomes:

By the end of this module students are expected to be able to:

• demonstrate problem-solving skills;


• differentiate and integrate functions of single and multiple variables; find and classify extrema of a function of single and multiple variables;


• derive the Taylor polynomial of a function of single and multiple variables;


• solve elementary first and second order differential equations, plus systems of first order differential equations;


• model simple applications.

Additional outcomes:

Students will acquire some appreciation of real-world applications of their mathematics.

Outline content:

This module reinforces and extends the calculus topics encountered in school courses. Its objectives are to introduce some of the basic "tools of the trade" and to develop the skills required to solve a range of problems using these tools. Methods are developed intuitively rather than by means of rigorous proofs. Applications of the various techniques will be given.

Brief description of teaching and learning methods:

Lectures, supported by problem sheets and tutorials

Summative assessment- Examinations: