# 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

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

## Browse Other Catalogues

- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue

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