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MChem Chemistry with International Study

Year of entry: 2024

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%

Recommended reading

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

Additional notes

This course unit detail provides the framework for delivery in 20/21 and may be subject to change due to any additional Covid-19 impact.

Please see Blackboard / course unit related emails for any further updates

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