# 2021/22 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** 2021/22

### 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**

Manipulate numerical and other quantitative information, and apply manipulative skills to the solution of problems.

**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 | 67.00 | ||

Total Contact hours | 22.00 | ||

Total hours (100hr per 10 credits) | 89.00 |

### Opportunities for Formative Feedback

Regular assignments, and 1 diagnostic test### Methods of assessment

**Coursework**

Assessment type | Notes | % of formal assessment |

Online Assessment | Online Mid-Term Assessment | 20.00 |

Total percentage (Assessment Coursework) | 20.00 |

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

**Exams**

Exam type | Exam duration | % of formal assessment |

Online Time-Limited assessment | 2 hr 00 mins | 80.00 |

Total percentage (Assessment Exams) | 80.00 |

Students will have to complete an online assessment 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. Students are required to pass all assessments for this module in order to pass the module overall.

### Reading list

The reading list is available from the Library websiteLast updated: 12/07/2021 13:47:39

## Browse Other Catalogues

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

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