Teaching Responsibility
LJMU Schools involved in Delivery:
LJMU Partner Taught
Learning Methods
Lecture
Tutorial
Module Offerings
4000MEQR-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 including trigonometric, exponential and logarithmic functions in the solution of engineering.
3.
Use basic complex numbers in the solution of engineering problems.
4.
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 e.g. MATHCAD. 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.
Introduction of the use of a computer algebra system e.g. MATHCAD. 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.
Module Overview:
This module provides a foundation in engineering mathematics for its application to the solution of engineering problems.
This module provides a foundation in engineering mathematics for its application to the solution of engineering problems.
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. For each topic area of the syllabus, relevant commands will be given for application of a symbolic algebra package, e.g. Mathcad to harder problems.
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. For each topic area of the syllabus, relevant commands will be given for application of a symbolic algebra package, e.g. Mathcad to harder problems.