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