2011/12 Undergraduate Module Catalogue
MATH1050 Calculus and Mathematical Analysis
10 creditsClass Size: 220
Module manager: Dr S Griffiths
Email: s.d.griffiths@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2011/12
Pre-requisite qualifications
A good A-level Mathematics grade or equivalent.This module is mutually exclusive with
| LUBS1240 | Maths&Stats For Bus&Ec 1 |
| MATH1010 | Mathematics 1 |
| MATH1012 | Mathematics 2 |
| MATH1035 | Analysis |
| MATH1960 | Calculus |
This module is approved as an Elective
Module summary
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.Objectives
- 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.
Syllabus
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.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lecture | 22 | 1.00 | 22.00 |
| Tutorial | 10 | 1.00 | 10.00 |
| Private study hours | 68.00 | ||
| Total Contact hours | 32.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Opportunities for Formative Feedback
Regular example sheets and in-class quizzes.Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | . | 20.00 |
| Total percentage (Assessment Coursework) | 20.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
| Exam type | Exam duration | % of formal assessment |
| Standard exam (closed essays, MCQs etc) | 2 hr 00 mins | 80.00 |
| Total percentage (Assessment Exams) | 80.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading list
The reading list is available from the Library websiteLast updated: 27/02/2012
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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