Engineering and design
Engineering Maths 1A
Module code: H1033
Level 4
15 credits in autumn semester
Teaching method: Lecture, Workshop
Assessment modes: Unseen examination, Coursework
Tis is one of two mathematics modules taken in the first year. You’ll revise and consolidate A-level topics, paying particular interest to those with practical applications in an engineering context, such as:
- exponential and trigonometric functions
- matrices
- complex numbers
- vectors
- differential and integral calculus
- curvature
- calculus of several variables.
The tools you’ll learn will be used in later year’s modules.
Topics include:
- revision of exponential, logarithmic and trigonometric functions, and partial fractions
- application of trigonometry to waves
- complex number arithmetic in Cartesian, polar and exponential forms; the Argand diagram, root-finding and De Moivre’s Theorem
- vector arithmetic, scalar product, vector product, lines and planes
- matrix arithmetic, inverses, solving simultaneous linear equations by Gaussian Elimination and inverse matrix methods
- differentiation, higher derivatives, product, quotient and chain rule; parametric and implicit differentiation; curvature and radius of curvature
- calculus of single and several variables, definite and indefinite integrals, partial derivatives, area bounded by a curve from first principles
- integration by parts, by substitution, mean value, root mean square value, volume of revolution.
Module learning outcomes
- Understand how to manipulate complicated algebraic expressions.
- Understand how to manipulate vectors and complex numbers and have an appreciation of their applications in engineering analysis.
- Understand how to perform differential and integral calculus on a single variable.
- Understand how to perform differential and integral calculus on more than one variable and have an appreciation of their applications in engineering analysis.