# MATS140 History of Mathematics (4 cr)

**Study level:**

Advanced studies

**Grading scale:**

0-5

**Language:**

English, Finnish

**Responsible organisation:**

Department of Mathematics and Statistics

**Curriculum periods:**

2020-2021, 2021-2022, 2022-2023, 2023-2024

## Tweet text

An introduction to the history of mathematics from ancient to modern times.

## Description

An introduction to the history of mathematics from ancient to modern times. Some emphasis on ancient cultures and on the genesis of the Calculus.

## Learning outcomes

After the course student

- knows the general development of the structures and concepts in mathematics since the classical antiquity until the end of 19th century
- understands the roles of different cultures and individuals in the development of mathematics
- knows mathematical notation and problem solving strategies from different eras and cultures
- is aware of the development leading to the birth of the calculus and the later development of mathematical analysis
- is able to connect the contents of other courses in mathematics - e.g. concepts, results, and different fields of mathematics - to the stages of history and the individuals involved in the developments.

## Additional information

28h lectures, 7 exercises

## Description of prerequisites

Subject studies in mathematics (or at least calculus of multiple variables).

Geometry or Euclidean plane geometry is recommended.

## Literature

- Tieteiden kuningatar : matematiikan historia, Osa 2. Boyer, Carl B. ; Merzbach, Uta C., Art House 1994. (A History of Mathematics); ISBN: 951-884-158-6
- Tieteiden kuningatar : matematiikan historia, Osa 1. Boyer, Carl B. ; Merzbach, Uta C., Art House 1994. (A History of Mathematics); ISBN: 951-884-150-0
- Mathematics and its history. Stillwell, John, Springer cop. 2010. 3rd ed; ISBN: 9781441960528

## Completion methods

### Method 1

**Evaluation criteria:**

Homeworks and Course exam

Select all marked parts

### Method 2

**Evaluation criteria:**

Final Exam

Select all marked parts

**Parts of the completion methods**

x

### Teaching (4 cr)

**Type:**

Participation in teaching

**Grading scale:**

0-5

**Evaluation criteria:**

Course exam and homework

**Language:**

English, Finnish

**Study methods:**

28h lectures, 7 exercises

**Literature:**

- Tieteiden kuningatar : matematiikan historia, Osa 2. Boyer, Carl B. ; Merzbach, Uta C., Art House 1994. (A History of Mathematics); ISBN: 951-884-158-6
- Tieteiden kuningatar : matematiikan historia, Osa 1. Boyer, Carl B. ; Merzbach, Uta C., Art House 1994. (A History of Mathematics); ISBN: 951-884-150-0
- Mathematics and its history. Stillwell, John, Springer cop. 2010. 3rd ed; ISBN: 9781441960528

#### Teaching

##### 1/10–3/19/2023 Lectures

##### 3/15–3/15/2023 Exam

##### 3/29–3/29/2023 Exam

x

### Exam (4 cr)

**Type:**

Exam

**Grading scale:**

0-5

**Evaluation criteria:**

Final exam

**Language:**

English, Finnish

**Study methods:**

Final exam

**Literature:**

- Tieteiden kuningatar : matematiikan historia, Osa 2. Boyer, Carl B. ; Merzbach, Uta C., Art House 1994. (A History of Mathematics); ISBN: 951-884-158-6
- Tieteiden kuningatar : matematiikan historia, Osa 1. Boyer, Carl B. ; Merzbach, Uta C., Art House 1994. (A History of Mathematics); ISBN: 951-884-150-0
- Mathematics and its history. Stillwell, John, Springer cop. 2010. 3rd ed; ISBN: 9781441960528