Module manager: Dr S Griffiths
Email: s.d.griffiths@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2009/10
A good A-level Mathematics grade or equivalent.
| 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 (e.g. 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 |
|---|---|---|---|
| Workshop | 5 | 1 | 5 |
| Lecture | 22 | 1 | 22 |
| Tutorial | 5 | 1 | 5 |
| Private study hours | 67 | ||
| Total Contact hours | 32 | ||
| Total hours (100hr per 10 credits) | 99 | ||
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: 7/16/2010
Errors, omissions, failed links etc should be notified to the Catalogue Team