MATA132 How to Prove It? (4 cr)
Study level:
Intermediate 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
Description
Mathematical reasoning and logic. Direct proof, proof by contradiction and proof by induction. Negating statements. Sets, functions, and cardinality.
Learning outcomes
The student
- knows the basics of logic, set theory and functions
- understands why statements are proved in mathematics
- knows basic proof methods (direct proof, proof by contradiction, proof by induction) and is able to apply them
- can negate mathematical statements
- knows how to read, write and evaluate proofs
Additional information
The study module is recommended for students that have completed Calculus 1-3 before taking Introduction to mathematical analysis 1-4.
Description of prerequisites
Good command of the long mathematics curriculum of high school.
Study materials
Richard Hammack: Book of proof
J. Franklin, A. Daoud: Proof in Mathematics, An introduction
Completion methods
Method 1
Description:
Final exam and exercises.
Evaluation criteria:
Final exam and exercises.
Time of teaching:
Period 4
Select all marked parts
Method 2
Description:
Final exam.
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
Language:
Finnish
Study methods:
Lectures 28 h (in Finnish), exercises
Teaching
3/21–5/28/2023 Lectures
5/25–5/25/2023 Exam
6/7–6/7/2023 Exam
x
Exam (4 cr)
Type:
Exam
Grading scale:
0-5
Language:
English, Finnish
Study methods:
Independent study and final exam.
Study materials:
Richard Hammack: Book of proof
J. Franklin, A. Daoud: Proof in Mathematics, An introduction