This module is discontinued in the selected year. The information shown below is for the academic year that the module was last running in, prior to the year selected.
2023/24 Undergraduate Module Catalogue
PHYS1290 Maths 1 - Scalars and Vectors
10 creditsClass Size: 255
Module manager: Dr Almut Beige
Email: A.Beige@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2023/24
Pre-requisite qualifications
A Level Physics and Maths or equivalentModule replaces
PHYS1150This module is not approved as a discovery module
Objectives
On completion of this module you should be able to:- differentiate and integrate a wide range of functions of one variable;
- add, subtract,multiply and divide complex numbers in Cartesian and polar form;
- derive and use Euler's equation;
- use De Moivre's theorem to calculate the nth roots of a complex number;
- use the parallelogram and triangle laws to add and subtract vectors;
- use vectors in component form to calculate the modulus and a unit vector;
- calculate scalar and vector products;
- write down the equation of a line and a plane in vector form;
- differentiate vectors;
- write down expressions for velocity and acceleration in Cartesian and polar coordinates;
- distinguish between linear and nonlinear ordinary differential equations;
- solve first order ordinary differential equations using three methods(separation of variables, integrating factor and homogeneous equation methods).
Learning outcomes
Students will be able to demonstrate knowledge, understanding and application of:
1. Vector calculus
2. Functions and coordinate systems in 2D
3. Complex numbers
4. Differential calculus
5. Integral calculus
6. Differential equations
Skills outcomes
Basic mathematical skills in calculus, vectors and differential equations.
The ability to model a physical problem using mathematics.
Syllabus
Vector calculus
Complex numbers
Differentiation and Integration
First order differential equations
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lecture | 22 | 1.00 | 22.00 |
| Private study hours | 78.00 | ||
| Total Contact hours | 22.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
Opportunities for Formative Feedback
Regular assignments, and 1 diagnostic testMethods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | Regular Coursework | 20.00 |
| Total percentage (Assessment Coursework) | 20.00 | |
Resists will be in standard exam format.
Exams
| Exam type | Exam duration | % of formal assessment |
| Standard exam (closed essays, MCQs etc) | 2 hr 30 mins | 80.00 |
| Total percentage (Assessment Exams) | 80.00 | |
Students will have to complete an in-person exam at the end of the module. This will take place during the examinations period at the end of the semester and will be time bound.
Reading list
The reading list is available from the Library websiteLast updated: 29/04/2024 16:19:13
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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