# 2019/20 Undergraduate Module Catalogue

## PHYS1290 Maths 1- Scalars and Vectors

### 10 creditsClass Size: 225

**Module manager:** Dr Almut Beige**Email:** a.beige@leeds.ac.uk

**Taught:** Semester 1 View Timetable

**Year running** 2019/20

### 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 |

Example Class | 10 | 1.00 | 10.00 |

Lecture | 22 | 1.00 | 22.00 |

Private study hours | 68.00 | ||

Total Contact hours | 32.00 | ||

Total hours (100hr per 10 credits) | 100.00 |

### Private study

Homework: 30 hoursStudy: 37 hours.

### Opportunities for Formative Feedback

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

**Coursework**

Assessment type | Notes | % of formal assessment |

Assignment | Regular assignments submitted during semester | 15.00 |

In-course Assessment | 1diagnostic test | 0.00 |

Total percentage (Assessment Coursework) | 15.00 |

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

**Exams**

Exam type | Exam duration | % of formal assessment |

Standard exam (closed essays, MCQs etc) | 2 hr 00 mins | 85.00 |

Total percentage (Assessment Exams) | 85.00 |

Students are required to pass all the coursework and exam elements of this module in order to pass the module overall.

### Reading list

The reading list is available from the Library websiteLast updated: 26/03/2019

## Browse Other Catalogues

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

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