- UCAS course code
- G101
- UCAS institution code
- M20
Bachelor of Science (BSc)
BSc Mathematics with Placement Year
- Typical A-level offer: A*AA including specific subjects
- Typical contextual A-level offer: A*AB including specific subjects
- Refugee/care-experienced offer: A*BB including specific subjects
- Typical International Baccalaureate offer: 37 points overall with 7,6,6 at HL, including specific requirements
Fees and funding
Fees
Tuition fees for home students commencing their studies in September 2025 will be £9,535 per annum (subject to Parliamentary approval). Tuition fees for international students will be £34,500 per annum. For general information please see the undergraduate finance pages.
Policy on additional costs
All students should normally be able to complete their programme of study without incurring additional study costs over and above the tuition fee for that programme. Any unavoidable additional compulsory costs totalling more than 1% of the annual home undergraduate fee per annum, regardless of whether the programme in question is undergraduate or postgraduate taught, will be made clear to you at the point of application. Further information can be found in the University's Policy on additional costs incurred by students on undergraduate and postgraduate taught programmes (PDF document, 91KB).
Course unit details:
Introduction to Vector Calculus
Unit code | MATH11411 |
---|---|
Credit rating | 10 |
Unit level | Level 1 |
Teaching period(s) | Semester 1 |
Available as a free choice unit? | No |
Overview
This unit introduce students to the calculus of functions depending on more than one variable, while emphasising its usefulness in physical applications.
Aims
The unit aims to introduce students to multivariable calculus, without assuming prior knowledge of linear algebra, while emphasising its usefulness in physical applications.
Learning outcomes
On the successful completion of the course, students will be able to:
- Evaluate vector products in two and three-dimensions. Evaluate square-matrix and vector products. Compute determinants of 2x2 and 3x3 real matrices.
- Evaluate and manipulate functions of more than one variable. Sketch contours of functions of two variables near critical points. Sketch two-dimensional vector fields. Construct, evaluate and interpret partial derivatives of scalar and vector-valued functions of one, two and three variables.
- Find and classify critical points of functions of two variables
- Differentiate scalar and vector fields and physically interpret the associated operators; grad, curl and div.
- Construct, evaluate and interpret definite integrals of functions of two and three variables.
- Determine whether a given vector field is conservative or solenoidal.
- Verify specific examples of the classic integral theorem(s) of vector calculus in three dimensions; Green’s theorem, the divergence theorem and Stokes’ theorem.
Assessment methods
Method | Weight |
---|---|
Other | 10% |
Written exam | 90% |
Feedback methods
There are supervisions in alternate weeks which provide an opportunity for students' work to be marked and discussed and to provide feedback on their understanding. Coursework or in-class tests (where applicable) also provide an opportunity for students to receive feedback. Students can also get feedback on their understanding directly from the lecturer, for example during the lecturer's office hour.
Study hours
Scheduled activity hours | |
---|---|
Lectures | 22 |
Tutorials | 5 |
Independent study hours | |
---|---|
Independent study | 73 |
Teaching staff
Staff member | Role |
---|---|
Richard Hewitt | Unit coordinator |