MAT-01166 Mathematics 1, 5 cr
Person responsible
Janne Kauhanen
Learning Outcomes
Basics of mathematical analysis.
Content
| Content | Core content | Complementary knowledge | Specialist knowledge |
| 1. | Sets and functions. Logic and proofs. Mathemtical induction. | Finite and infinite sets. | |
| 2. | Real numbers: Algebraic properties, Absolut value. Completeness. Intervals. | ||
| 3. | Complex numbers:Definition and algebraic properties. Geometric properties. | Elementary topology of the plane | |
| 4. | Limits: Limit of a function. Limit theorems. Extensions of limit concept. | Sequences and their limits. | |
| 5. | Continuos functons: Definition. Combinations. Continuos functions on intervals | Uniform continuouty. | |
| 6. | Differentation: Derivative. Mean value theorem. L'Hospital rule. Taylor's theorem. |
Study material
| Type | Name | Author | ISBN | URL | Additional information | Examination material |
| Book | Mathematical Analysis I | Claudio Canuto, Anita Tabacco | 978-88-470-0875-5 | Springer E-kirja/E-book | Yes |
Correspondence of content
There is no equivalence with any other courses