[Lectures: 26 hours; Tutorials: 13 hours; Pre-requisites: MH1810@; Academic Unit: 3.0]
This course builds on the first-year mathematics and prepares students for the solution and interpretation of practical problems encountered in engineering disciplines with emphasis given to strengthening student's problem-solving abilities.
Partial Differentiation, Multiple Integrals, Fourier series & Fourier integrals, First order differential equations, Second order differential equations, Partial differential equations, Vector calculus, Laplace transformations, Numerical analysis.
Upon successful completion of the course, students will be able to:
- understand the concept of Fourier Series / Integrals and know how to solve these problems.
- perform partial differentiation on functions of multiple variables and apply it for practical applications such as gradient vectors, tangent planes, etc.
- Perform multiple integration and apply it to evaluate areas, volumes, etc.
- solve first and second order ordinary differential equations (ODEs) in practical problems.
- solve partial differential equations (PDEs) for engineering problems such as heat and mass transport.
- solve analytical equations using numerical methods.
- understand vector calculus and its applications in engineering problems.
- understand Laplace Transformations and its applications in engineering problems.
Kreysgiz E, Advanced Engineering Mathematics, 9th edition, John Wiley & Sons, 2006
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