2017/18 Undergraduate Module Catalogue

LLLC0133 Applied Maths for Engineers and Physicists (2)

20 creditsClass Size: 30

Module manager: Sheryl Meskin
Email: s.a.meskin@leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2017/18

This module is mutually exclusive with

LLLC0131

Applied Maths for Biologists and Chemists (2)

This module is not approved as a discovery module

Objectives

To introduce students to:-
-The mathematical methods of differential and integral calculus of complex functions and of some simple solution methods for various types of differential equations.
-Vector operations
-Simple statistical operations

Learning outcomes
Knowledge and Understanding of:-
-The mathematical methods of differential and integral calculus, differential equations and vectors.
-How to use mathematical techniques for differentiating and integrating complex functions, for solving differential equations and for working with vector quantities.
-Probability laws and ways of representing and interpreting data sets using simple statistical techniques;
-Examples of mathematical methods and applications theories related to the study of environmental sciences, physical sciences and engineering disciplines.
-How to select and apply appropriate mathematical methods to solve abstract and real-world problems.
-How to manipulate mathematical expressions, set up and solve equations and construct simple proofs.

Skills outcomes
-Select and apply appropriate mathematical methods to solve abstract and real-world problems.
-Show confidence in manipulating mathematical expressions, setting up and solving equations and constructing simple proofs.

Syllabus

Differentiation of products, quotients and functions of a function; Differentiation of complex functions; sin x, cos x, tan x, e×, log x
Integration of standard functions; Definite and indefinite integrals; Integration by parts and by substitution; Area under a curve and between curves, volumes of revolution; Use of functional notation; Formulation and solution of differential equations by separating the variables.
Vectors in 3 dimensions; vector equation of a line; differentiation and integration of vectors and links to applications in science and engineering.
Complex Numbers; Argand diagram, Cartesian and polar forms, complex conjugate, modulus.
Simple statistical analysis; Mean, Mode, Median, Standard Deviation and links to errors in data sets.

Teaching methods

Delivery type	Number	Length hours	Student hours
Workshop	20	1.00	20.00
Lecture	20	2.00	40.00
Independent online learning hours			22.00
Private study hours			118.00
Total Contact hours			60.00
Total hours (100hr per 10 credits)			200.00

Private study

Independent on-line learning:
Using VLE resources 11
Weekly quizes 11
Private study:
Reading 20
Working example problems 26
Preparing coursework 36
Revision for examinations 36

Opportunities for Formative Feedback

Weekly quizzes (formative); reflection with exam wrapper activities; problem sets and coursework; mid-term quizzes

Methods of assessment

Coursework

Assessment type	Notes	% of formal assessment
Assignment	6 x 2 hour problem sets	10.00
In-course Assessment	1 x 40 minute in course exam	10.00
Total percentage (Assessment Coursework)		20.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams

Exam type	Exam duration	% of formal assessment
Standard exam (closed essays, MCQs etc)	2 hr 30 mins	80.00
Total percentage (Assessment Exams)		80.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading list

The reading list is available from the Library website

Last updated: 01/04/2016

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