## Mathematics 1Q1

 Unit code: MATH19641 Credit Rating: 10 Unit level: Level 1 Teaching period(s): Semester 1 Offered by School of Mathematics Available as a free choice unit?: N

None

#### Aims

The course unit aims to provide a course in calculus and algebra to students with A-level mathematics or equivalent in the School of Chemistry.

#### Learning outcomes

Knowledge and understanding: Be familiar with functions and geometry, differentiation, integration, vectors, simple ordinary differential equations and complex numbers.

Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus

Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.

#### Assessment methods

• Other - 20%
• Written exam - 80%

#### Assessment Further Information

Diagnostic Followup Coursework (week 4); Weighting within unit 4%

Coursework 2 (week 7); Weighting within unit 8%

Coursework 3 (week 11); Weighting within unit 8%

2 hours end of semester 1 examination; Weighting within unit 80%

#### Syllabus

3 - 4 lectures : Revision : C2, C3 material as flagged by diagnostic test. Functions and Geometry : Rational Functions, Partial Fractions, Binomial. Inverse Trigonometric Functions; sec, csc and cot; trig identities; equations of lines and circles, parametric equations; polar coordinates.

4 lectures : Differentiation : Simple Functions; product, quotient and chain rules; Parametric and Implicit Differentiation.

3-4 lectures Integration : Indefinite and Definite Integrals; Integration of simple functions; Integration by parts and of (simple) rational functions.

5 lectures Vectors : Vectors in component form; vector addition, parallelogram and triangle of vectors. Vector equation of straight line. Scalar and vector products. Triple Products

3 lectures : Introduction to ODEs. : Examples of First and Second order ODEs. Role of arbitrary constants. Solution of First-order separable ODEs.

3 lectures : complex numbers. Concept, real and imaginary parts, arithmetic operations. Polar form.

KA Stroud, Engineering Mathematics, Palgrave
Croft et al., Introduction to Engineering Mathematics, Pearson

#### Study hours

• Assessment written exam - 2 hours
• Lectures - 22 hours
• Tutorials - 10 hours
• Independent study hours - 0 hours

#### Teaching staff

Colin Steele - Unit coordinator