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 equivalent

Module replaces

PHYS1150

This 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 test

Methods 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 website

Last updated: 28/04/2023 14:55:12

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