# Engineering Maths 1A (H1033)

15 credits, Level 4

Autumn teaching

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.

### Teaching 79%: Lecture 21%: Practical (Workshop)

### Assessment 20%: Coursework (Problem set) 80%: Examination (Unseen examination)