## MAS159 Mathematics for Chemists

 Both semesters, 2019/20 20 Credits Lecturer: Prof Vladimir Bavula Timetable Reading List Aims Outcomes Assessment Full Syllabus

There are no prerequisites for this module.
No other modules have this module as a prerequisite.

## Outline syllabus

Algebra, logarithms, indices, simple functions, trigonometry, coordinate geometry, differentiation, integration, elementary statistics.

## Aims

The aims of this module are to help the development of the mathematical skills necessary to support present engineering studies and to provide the appropriate foundations for further mathematical studies.

## Learning outcomes

At the end of the course the student should:
1. be numerically and algebraically competent;
2. be able to solve simple simultaneous and quadratic equations, and inequalities;
3. understand the ideas of logarithms and exponentiation;
4. have a simple idea of a function;
5. have a good understanding of trigonometry, and be able to manipulate trigonometric functions;
6. have an improved understanding of coordinate geometry and be competent in calculations involving lines and circles;
7. understand the fundamentals of the differentiation process, and to be able to differentiate competently.
8. understand the fundamentals of integration, and to be able to integrate simple functions.

40 lectures, 20 tutorials

## Assessment

One three-hour written examination for 80%

coursework from semester 1, 10%
coursework from semester 2, of assessment. 10%

## Full syllabus

• Algebra Expansion of brackets, factorisation, completing the square, solutions of simultaneous linear equations, quadratic equations, inequalities, units and dimensional analysis.

• Logarithms and indices Logarithm laws, laws of indices, logarithms defined in arbitrary bases.
• Functions Simple idea of a function and its inverse, domain, range, graphical representation.
• Trigonometry Radian measure of angle, sine, cosine, tangent, cosecant, secant and cotangent of arbitrary angles, common trigonometric identities, solution of simple trigonometric equations, resolving forces in two dimensions.
• Coordinate geometry Cartesian and parametric forms of straight lines and circles, intersection of lines, intersections of circles with lines.
• Differentiation The differential as a limit, polynomial functions from first principles, product, quotient and chain rules; trigonometric, logarithmic and exponential functions, stationary points; the concept and simple examples of a differential equation.
• Integration Integration as reverse of differentiation; integration of , , , , ;
definite integral, area under a curve; simple cases of integration by substitution and by parts. • Elementary statistics The concepts of mean, median and mode.

## Reading list

Type Author(s) Title Library Blackwells Amazon
A Lambourne, R., Tinker, M. Basic Mathematics for the Physical Sciences Blackwells Amazon
A Stroud, K.A., Engineering Mathematics Blackwells Amazon

(A = essential, B = recommended, C = background.)

Most books on reading lists should also be available from the Blackwells shop at Jessop West.

## Timetable (semester 1)

 Tue 09:00 - 09:50 lecture Diamond Building LT4 Wed 11:00 - 11:50 tutorial (group CH1) PC C29 Wed 11:00 - 11:50 tutorial (group CH2) Bartolome House Seminar Room DB13 Thu 11:00 - 11:50 lecture Hicks Lecture Theatre 2