Engineering and design
Engineering Maths 1A
Module code: H1033
Level 4
15 credits in autumn semester
Teaching method: Lecture, Workshop
Assessment modes: Multiple choice questions, Unseen examination
On this module, you’ll explore topics with practical applications in an engineering context. For example:
- 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 throughout the rest of the year. You’ll engage through dialogue in lectures, and use worked and guided examples and questions to practice.
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 and area bounded by a curve from first principles
- integration by parts, by substitution, mean value, root mean square value and 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.