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# BSc Chemistry

Year of entry: 2022

## Course unit details:Mathematics 1Q1

Unit code MATH19641 10 Level 1 Semester 1 Department of Mathematics No

### 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.

### Syllabus

3 - 4 lectures: 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.

### Assessment methods

Method Weight
Other 20%
Written exam 80%
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%

End of semester 1 examination; Weighting within unit 80%

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

### Study hours

Scheduled activity hours
Assessment written exam 2
Lectures 22
Tutorials 10
Independent study hours
Independent study 66

### Teaching staff

Staff member Role
Colin Steele Unit coordinator