Mathematical Methods for Civil Engineering
| Code | School | Level | Credits | Semesters |
| MATH1024 | Mathematical Sciences | 1 | 20 | Full Year Malaysia |
- Code
- MATH1024
- School
- Mathematical Sciences
- Level
- 1
- Credits
- 20
- Semesters
- Full Year Malaysia
Summary
The module covers fundamental tools to manipulate vectors and matrices relevant to applications in engineering, and introduces fundamental concepts and applications of differentiation and integration in one and more dimensions. The module will cover:
• Calculus of functions of one variable.
• Vector and matrix algebra, with application to systems of linear equations.
• Eigenvalues and eigenvectors of matrices.
• Partial derivatives and application to stationary points and Taylor series.
• Gradient, divergence and curl of fields.
• Multiple integrals.
• First order ordinary differential equations.
Target Students
First year students in Civil Engineering.
Classes
- One 1-hour workshop each week for 24 weeks
- One 2-hour lecture each week for 24 weeks
Assessment
- 50% Exam 1 (2-hour): Two-hour written exam at end of Autumn semester (assessing Autumn material).
- 50% Exam 2 (2-hour): Two-hour written exam at end of Spring semester (assessing Spring material).
Educational Aims
MATH1024 provides a qualifying year provision to equip students with both confidence and competence in a range of fundamental elementary mathematical techniques and basis for advanced mathematical methods used in the quantitative study and analysis of problems in Civil Engineering. There is a strong emphasis of enabling transition to a university qualifying level environment.Learning Outcomes
Knowledge and understanding of mathematics necessary to support application of key engineering principles. To apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems.
A student who completes this module successfully should be able to:
- L01 - Use extended techniques of differential and integral calculus, typically used in solving engineering problems.
- L02 - Manipulate vectors to solve geometric problems in engineering.
- L03 - Apply matrix algebra techniques to analyse efficiently and solve systems of equations and algebraic eigenvalue problems.
- L04 - Classify and solve a range of standard-type first order ordinary differential equations.
- L05 - Understand and apply basic differential calculus associated with functions of several variables.
- L06 - Understand the use of differential operators and their application to scalar and vector fields.
- L07 - Solve standard types of first-order differential equations.
- L08 – Integrate functions of two variables in cartesian and polar coordinates.
Conveners
- Dr Chee Wing Loon