Teaching Responsibility
LJMU Schools involved in Delivery:
Civil Engineering and Built Environment
Learning Methods
Lecture
Tutorial
Workshop
Module Offerings
4328BEUG-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:
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. Trigonometry: Angular measurement (radians and degrees, minutes and seconds), Sine and cosine rules. Trigonometric identities and equations. Applications: Surveying; Forces Revision of differential calculus of one variable: Gradient of curve, derivatives of standard functions, linearity, derivatives of composite functions, products and quotients. Applications: Stationary points. Rates of change. Revision of integral calculus as inverse of differentiation. Standard integrals, linearity, integration of composite functions. Numerical integration. Applications: Centroids Complex numbers: Complex arithmetic, complex conjugate, Argand diagram. Rectangular, polar forms. Magnitude and phase. Basic use of Euler's formula. Basic matrix manipulation including the inverse matrix. Applications: Solution of systems of linear equations. 1st order differential equations
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. Trigonometry: Angular measurement (radians and degrees, minutes and seconds), Sine and cosine rules. Trigonometric identities and equations. Applications: Surveying; Forces Revision of differential calculus of one variable: Gradient of curve, derivatives of standard functions, linearity, derivatives of composite functions, products and quotients. Applications: Stationary points. Rates of change. Revision of integral calculus as inverse of differentiation. Standard integrals, linearity, integration of composite functions. Numerical integration. Applications: Centroids Complex numbers: Complex arithmetic, complex conjugate, Argand diagram. Rectangular, polar forms. Magnitude and phase. Basic use of Euler's formula. Basic matrix manipulation including the inverse matrix. Applications: Solution of systems of linear equations. 1st order differential equations
Module Overview:
This module develops knowledge and understanding of the mathematics underpinning engineering, and how you would apply these techniques within an engineering context.
This module develops knowledge and understanding of the mathematics underpinning engineering, and how you would apply these techniques within an engineering context.
Additional Information:
This module provides a foundation in engineering mathematics for use in the analysis and solution of engineering problems.
This module provides a foundation in engineering mathematics for use in the analysis and solution of engineering problems.