Teaching Responsibility
LJMU Schools involved in Delivery:
Civil Engineering and Built Environment
Learning Methods
Lecture
Online
Workshop
Module Offerings
4300DCIV-SEP-CTY
Aims
To develop knowledge and understanding of the mathematics underpinning engineering, and to apply these techniques within an engineering context.
Learning Outcomes
1.
Use basic algebraic manipulations, matrices and mathematical functions proficiently in the analysis and solution of engineering problems.
2.
Use and apply mathematical software to the solution of engineering mathematics problems.
3.
Apply differential and integral calculus proficiently in the analysis and solution of engineering problems.
4.
Communicate effectively through the clear presentation of mathematical equations and formulae.
Module Content
Outline Syllabus:Fractions, exponents, scientific notation, factorisation, transposition of formulae. SI units, dimensional analysis.
Trigonometry for surveying and forces. Basic vector algebra for forces.
Functions, linear and quadratic equations, linear simultaneous equations. Application: Vertical alignment of road/rail.
The exponential function and logarithms.
Calculus: Limits, Differentiation, Integration, Numerical integration. Applications: rates of change, stationary points, centroids, moments of area.
Roots: Numerical techniques, iterative methods for transcendental equations, including the Newton-Raphson method. Applications: Solving cubic equations. Basic matrix manipulation including the inverse matrix. Applications: Solution of systems of linear equations.
1st order differential equations. Application: Falling head permeability test. Complex numbers: Complex arithmetic, complex conjugate, Argand diagram. Rectangular, polar forms. Magnitude and phase, Euler's formula.
Additional Information:This module provides a foundation in engineering mathematics for use in the analysis and solution of engineering problems.