Engineering Mathematics II

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Description

This course provides an introduction to vector analysis and complex calculus, which is relevant to physics and engineering problems in two or more dimensions, such as solid and fluid mechanics, electromagnetism and thermodynamics. The course also introduces Laplace transform methods for solving differential equations, which have application to engineering problems such as circuit analysis and control.

Objective

This course introduces students to the fundamentals of engineering mathematics, with the study of vector and integral calculus, complex analysis and Laplace transforms.

Content

Topics covered are: Vector calculus: vector fields; gradient, divergence and curl; line, surface and volume integrals; integral theorems of Green, Gauss and Stokes with applications; orthogonal curvilinear coordinates. Complex analysis: elementary functions of a complex variable; complex differentiation; complex contour integrals; Laurent series; residue theorem. Laplace transforms: transforms of derivatives and integrals; shifting theorems; convolution; applications to differential equations.

Ed Green Lecturer for this course

Delivery

42 hours of lectures and tutorials

Assessment

Ongoing assessment 30%, exam 70%.

Graduate attributes

• Applying mathematical knowledge (1)
• Interpreting data and drawing conclusions (2)
• Formulating mathematical problems (3)
• Problem solving skills (4)
• Flexibility in working environment (5)
• Team participation and leadership (7)

Linkage past

Prerequisites: MATHS 1012 Mathematics 1B or MATHS 2004 Mathematics IIM. Assumed Knowledge: MATHS 2102 or APP MTH 2000 or APP MTH2007.

Linkage present

No present linkages have been noted.

Linkage future

This course is not recorded as prequisite for other courses.

Restrictions

Cannot be counted with APP MTH 2002, APP MTH 2006 or MATHS 2101.

Recommended text

Kreyszig, E. (2006) Advanced Engineering Mathematics. Wiley.