Module catalogue: MA6011

MA6011 - Integral and Vector Calculus (2024/25)

Module specification

Module approved to run in 2024/25

Module title

Integral and Vector Calculus

Module level

Honours (06)

Credit rating for module

School

School of Computing and Digital Media

Total study hours

300

0 hours	Assessment Preparation / Delivery
210 hours	Guided independent study
90 hours	Scheduled learning & teaching activities

Assessment components

Type	Weighting	Description
In-Course Test	25%	Test 1 (1 hour, unseen)
In-Course Test	25%	Test 2 (1 hour, unseen)
Unseen Examination	50%	Unseen Exam (2 hours)

Running in 2024/25

(Please note that module timeslots are subject to change)

Period	Campus	Day	Time	Module Leader
Year	North	Friday	Morning

Module summary

The module extends the students’ knowledge of the techniques of calculus and introduces the concept of multivariable Calculus as well as calculus of vectors.

This module introduces Vector-Valued Functions and extends ideas of calculus of one dimension to Vector-Valued Functions.

Prior knowledge: Calculus and Linear Algebra

Syllabus

− Vectors, Vector_Valued Functions
− Partial differentiation. Chain rule. Taylor series.
− Maxima and minima of functions of more than one independent variable.
− Integration over plane areas. Volumes. Change of variables. Jacobians.

Balance of independent study and scheduled teaching activity

Students’ learning is directed via face-to-face learning activities centred on lectures and seminars. There is full provision of documents related to the module in electronic format that can be accessed by students at all times. The documents include lecture notes, slides, guidance to further reading and relevant mathematical packages, and exercises and tests.

Learning outcomes

On successful completion of this module, the student be able to:
LO1. understand the concept of vector in 2 and 3 dimensions
LO2. differentiate and integrate functions of multiple variables
LO3. Understand chain Rule for functions of 2 variables
LO4. identify local maxima/minima for multivariable functions

LO5. Carry out multiple integrals

Bibliography