Unit name | Multivariable Calculus |
---|---|
Unit code | MATH20901 |
Credit points | 10 |
Level of study | I/5 |
Teaching block(s) |
Teaching Block 1A (weeks 1 - 6) |
Unit director | Professor. Porter |
Open unit status | Not open |
Pre-requisites |
None |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
This unit extends elementary calculus to vector-valued functions of several variables to the point where the major theorems (Green's, Stokes' and the divergence theorem) can be presented. The emphasis is on basic ideas and methods; theorems will be stated rigorously and the theory will be carefully developed, but the style is closer to first year calculus than to analysis.
Aims:
To develop an understanding of multivariable calculus including the major theorems of vector calculus.
Syllabus
Relation to Other Units
This unit comprises the first half of MATH 20900 Calculus 2. It is provided primarily for joint honours students looking for a 10cp maths unit at level 2 and wanting to extend their calculus capabilities. Students wanting to take units such as MATH 20402 Applied Partial Differential Equations and MATH 30800 Mathematical Methods must do Calculus 2 instead, as these units currently require parts of Calculus 2 not included in this unit. There is no option to take the second half of Calculus 2 later.
Additional unit information can be found at http://www.maths.bristol.ac.uk/study/undergrad/current_units/index.html
At the end of the course the student should:
Transferable Skills:
Clear logical thinking, problem solving, assimilation of abstract ideas and application to particular problems.
Lectures (15 in all), problems classes, homework and solutions (issued later).
The final mark for Multivariable Calculus is calculated from a 1 ½ -hour written examination in April consisting of THREE questions. A candidate's best TWO answers will be used for assessment. Calculators are NOT permitted.
Reading and references are available at http://www.maths.bristol.ac.uk/study/undergrad/current_units/index.html