### Instruction

Name | Cr | Method of study | Time | Location | Organiser |
---|---|---|---|---|---|

Introduction differential geometry | 10 Cr | Lecture Course | 13.1.2020 - 30.4.2020 | ||

Introduction to differential geometry | 10 Cr | Online Examination | 20.5.2020 - 20.5.2020 | ||

Introduction to differential geometry | 10 Cr | General Examination | 10.6.2020 - 10.6.2020 |

Name | Cr | Method of study | Time | Location | Organiser |
---|---|---|---|---|---|

Introduction to differential geometry | 10 Cr | General Examination | 13.6.2018 - 13.6.2018 | ||

Introduction to differential geometry | 10 Cr | General Examination | 13.6.2018 - 13.6.2018 | ||

Introduction to differential geometry | 10 Cr | General Examination | 23.5.2018 - 23.5.2018 | ||

Introduction differential geometry | 10 Cr | Lecture Course | 16.1.2018 - 2.5.2018 |

### Target group

Optional course.

Master's Programme in Mathematics and Statistics is responsible for the course.

Belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

### Prerequisites

Topology II

### Learning outcomes

Basics on smooth manifolds

### Timing

Recommended time/stage of studies for completion: 1. or 2. year

Term/teaching period when the course will be offered: varying

### Contents

Basics on smooth manifolds and mappings between manifolds, tangent and cotangent space, tensors, differential forms. Stokes theorem.

### Activities and teaching methods in support of learning

Lectures and exercise classes

### Study materials

Lee: Introduction to smooth manifolds.

### Assessment practices and criteria

Exam and excercises, Course will be graded with grades 1-5

### Recommended optional studies

Bachelor studies

### Completion methods

Exam, other methods will be described later