Teaching Responsibility

LJMU Schools involved in Delivery:

LJMU Partner Taught

Learning Methods

Lecture
Tutorial

Module Offerings

4501USST-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.
Apply basic mathematical functions in the solution of engineering problems
3.
Apply basic trigonometry to describe engineering waves in mechanical and electrical systems
4.
Apply basic complex numbers in the solution of engineering problems
5.
Apply exponentials and logarithms to solve relevant engineering problems.
6.
Apply complex numbers in the solution of engineering problems.
7.
Apply mathematical software to the solution of engineering mathematics problems

Module Content

Outline Syllabus: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. Introduction to calculus: Limits, continuity, derivative by first principles; Derivative rules including chain rule, product rule, quotient rule; Derivatives of implicit functions and inverse functions.
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.

Assessments

Exam