Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Lecture
Tutorial
Module Offerings
4501MECBHG-SEP-PAR
Aims
To provide a foundation in engineering mathematics for its application to the solution of engineering problems
Learning Outcomes
1.
Use basic algebraic manipulations in the solution of engineering problems
2.
Use basic mathematical functions in the solution of engineering problems
3.
Use basic trigonometry to describe engineering waves in mechanical and electrical systems
4.
Use basic complex numbers in the solution of engineering problems
5.
Use exponentials and logarithms to solve relevant engineering problems.
6.
Apply complex numbers in the solution of engineering problems.
7.
Use and apply mathematical software to the solution of engineering mathematics problems
Module Content
Outline Syllabus:Introduction of the use of a computer algebra system. Use of the software applied to the syllabus items below
Revision of basic algebraic techniques:
Substitution, simplification, factorisation, indices, evaluation and transposition of formulae, fractions and partial fractions. Linear and quadratic equations, linear simultaneous equations
Functions: Notation, types of function, composite and inverse, graphs.
Trigonometry: Angles and circular measure. Trigonometric ratios for right-angled triangles. Sine and cosine rules. Trigonometric functions and their graphs, simple trigonometric identities and equations. Engineering waves in mechanical and electrical problems.
Exponential function: Properties and graph. Natural logarithm as inverse of exponential function, graph and properties. Definitions and calculation of hyperbolic functions including inverse functions.
Complex numbers: Complex arithmetic, complex conjugate, Argand diagram. Rectangular, polar forms. Magnitude and phase. Very basic treatment of Euler’s formula.
Additional Information:This module provides a foundation in pre-calculus for level four students in mechanical and electrical engineering, to enable them to apply this to the solution of engineering problems.