MAS159 Mathematics for Chemists
Note: Information for future academic years is provisional. Timetable information and teaching staff are especially likely to change, but other details may also be altered, some courses may not run at all, and other courses may be added.
|Both semesters, 2019/20||20 Credits|
|Lecturer:||Prof Vladimir Bavula||Timetable||Reading List|
There are no prerequisites for this module.
No other modules have this module as a prerequisite.
Outline syllabusAlgebra, logarithms, indices, simple functions, trigonometry, coordinate geometry, differentiation, integration, elementary statistics.
AimsThe 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 outcomesAt 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
One three-hour written examination for 80%coursework from semester 1, 10% coursework from semester 2, of assessment. 10%
• 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.
|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.