Module manager: Dr Stephen Griffiths
Email: S.D.Griffiths@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2012/13
A good A-level Mathematics grade or equivalent.
| LUBS1240 | Maths&Stats For Bus&Ec 1 |
| MATH1010 | Mathematics 1 |
| MATH1012 | Mathematics 2 |
| MATH1035 | Analysis |
| MATH1960 | Calculus |
This module is approved as an Elective
Because A-level and other entry courses differ in their syllabuses, this module revises differential and integral calculus before obtaining further results which fall outside the core A-level syllabus (eg on hyperbolic functions). The differential calculus of functions of several variables is developed, also.
- To continue the study of Differential and Integral Calculus with some revision of A-level work, in order to provide a uniform background knowledge of the subject.
- To extend differential calculus to functions of several variables, and functions defined by power series.
On completion of this module, students should be able to:
(a) calculate the derivatives and integrals of elementary functions;
(b) determine whether functions are injective, surjective, odd or even;
(c) compute Taylor series, compute the radius of convergence of a power series;
(d) calculate partial derivatives of any order, compute Taylor series of multivariate functions.
1. Basic function terminology: domain, codomain, range, injectivity, surjectivity, odd and even functions.
2. Differentiation: Limits (informal), definition of teh derivative, methods of differentiation, the Mean Value Theorem.
3. Hyperbolic functions and their inverses: Properties; derivatives.
4. Integration: The Riemann integral (informal), Fundamental Theorem of the Calculus, methods of integration.
5. Taylor's Series: Taylor's Theorem, power series, radius of convergence.
6. Partial differentiation: partial derivative of all orders, multivariate Taylor's series.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Lecture | 22 | 1 | 22 |
| Tutorial | 10 | 1 | 10 |
| Private study hours | 68 | ||
| Total Contact hours | 32 | ||
| Total hours (100hr per 10 credits) | 100 | ||
Studying and revising of course material.
Completing of assignments and assessments.
Regular example sheets and in-class quizzes.
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| In-course Assessment | . | 20 |
| Total percentage (Assessment Coursework) | 20 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
| Exam type | Exam duration | % of formal assessment |
|---|---|---|
| Standard exam (closed essays, MCQs etc) | 2.0 Hrs 0 Mins | 80 |
| Total percentage (Assessment Exams) | 80 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
The reading list is available from the Library website
Last updated: 1/8/2013
Errors, omissions, failed links etc should be notified to the Catalogue Team