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2019/20 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 2019/20

This module is mutually exclusive with

LLLC0131Applied 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 typeNumberLength hoursStudent hours
Workshop201.0020.00
Lecture202.0040.00
Independent online learning hours22.00
Private study hours118.00
Total Contact hours60.00
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 resources and quizzes (formative); reflection with exam wrapper activities; problem sets and coursework.

Methods of assessment


Coursework
Assessment typeNotes% of formal assessment
Assignment5 x 2 hour problem sets10.00
Total percentage (Assessment Coursework)10.00

Resits are not available for individual coursework elements in the module. Attendance is required for coursework elements which are linked to an assessment available only at that specific time, such as fieldwork, lab reports on specific labs, and midterms.


Exams
Exam typeExam duration% of formal assessment
Standard exam (closed essays, MCQs etc)2 hr 30 mins90.00
Total percentage (Assessment Exams)90.00

Resits for the exam component of the module will be assessed by the same methodology as the first attempt during the July Resit period in most cases or during the next available opportunity. In order to receive credit for a module BOTH the coursework and exam components should be a pass.

Reading list

The reading list is available from the Library website

Last updated: 12/12/2018 10:48:53

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