# EBA 1180 Mathematics for Data Science

- Course description for EBA 1180 Mathematics for Data Science, a core course in the BSc Data Science for
Business programme. The course will cover
**calculus in one variable**,**integration**,**matrices and linear systems**, and**calculus in two variables**(including optimization with or without constraints), with emphasize on applications in econmics and finance. - For material from last year's course, see EBA 1180 Mathematics for Data Science 2023/24.

### Reading

- [EMEA] SydsĂ¦ter, Hammond et al,
*Essential Mathematics for Economic Analysis*, Pearson 2021 (6th ed.) - textbook.

### Exams

**Written exam**(EBA11805) at the end of the autumn semester (3h, counts 40%), and**written exam**(EBA11806) at the end of the spring semester (5h, counts 60%), with grade A-F. Both exams must be passed to complete the course.- There will be re-take exams the following semester for both exams.
- Previous exam problems with solutions.

### Lecture plan

**Lectures**: Tuesday at 10-12 (B2-030) and Wednesday at 10-12 (B2-030), with some exceptions (see the lecture plan below)**Exercise sessions**: Wednesday at 12-16 (CU1-067); The lecturer and Learning Assistants will be present

Autumn semester | Lecturer Runar Ile (Office B3y-087); Office hours Tuesday 12-14 (by appointment) | Reading | Problems |
---|---|---|---|

Wed Aug 21: 10-12, B2-030 | Lecture 1: Basic algebra. | [EMEA] 2.1 - 2.5, 2.7 | Problem set 1: Wednesday 12-16, CU1-067 |

Tue Sep 27: 10-12, B2-030 | Lecture 2: Rates of change. Powers and roots. Interest. | [EMEA] 2.2, 11.1, 11.3 | Problem set 2 |

Wed Aug 28: 10-12, B2-030 | Lecture 3: Present value. Internal rate of return. | [EMEA] 11.5.1 - 11.5.4 | Problem set 3: Wednesday 12-16, CU1-067 |

Tue Sep 03: 10-12, B2-030 | Lecture 4: Review. Finite geometric series. Annuities. | [EMEA] 11.4.1 - 11.4.3, 4.9.2 | Problem set 4 |

Wed Sep 04: 10-12, B2-030 | Lecture 5: Infinite geometric series and limits. Euler's number and continuous compounding. | [EMEA] 11.4.4 - 12.4.10, 4.9.2 | Problem set 5: Wednesday 12-16, CU1-067 |

Tue Sep 10: 10-12, B2-030 | Lecture 6: Review. Linear and quadratic equations. | [EMEA] 3.1, 3.3 | Problem set 6 |

Wed Sep 11: 10-12, B2-030 | Lecture 7: Equations with parameters. Polynomial equations. | [EMEA] 3.2, 4.7 | Problem set 7: Wednesday 12-16, CU1-067 |

Tue Sep 17: 10-12, B2-030 | Lecture 8: Review. Polynomial division. Factorization. | [EMEA] 4.7 | Problem set 8 |

Wed Sep 18: 10-12, B2-030 | Lecture 9: Rational and radical equations. Inequalities. | [EMEA] 3.4 - 5, 2.6 | Problem set 9: Wednesday 12-16, CU1-067 |

Wed Sep 25: 10-12, B2-030 | Lecture 10: Functions and graphs. Linear and quadratic functions. Cost and revenue functions. | [EMEA] 4.1 - 4.6 | Problem set 10: Wednesday 12-16, CU1-067 |

Tue Oct 01: 10-12, B2-030 | Lecture 11: Review. | Problem set 11 | |

Wed Oct 02: 10-12, B2-030 | Lecture 12: Increasing and descreasing functions. Circles and ellipses. Polynomial functions. | [EMEA] 5.5, 4.7, 7.9 | Problem set 12: Wednesday 12-16, CU1-067 |

Tue Oct 08: 10-12, B2-030 | Lecture 13: Rational functions and asymptotes. | [EMEA] 7.8, 7.10, 5.2-3 | Problem set 13</td> |

Wed Oct 09: 10-12, B2-030 | Lecture 14: Inverse functions. Exponential functions and logarithms. | [EMEA] 5.3, 4.9 - 10 | Problem set 14: Wednesday 12-16, CU1-067 |

Tue Oct 15: 10-12, B2-030 | Lecture 15: Review. | Problem set 15 | |

Wed Oct 16: 10-12, B2-030 | Lecture 16: Tangents. Differentiation and rules for differentiation. | [EMEA] 6.1, 6.6-8, 6.10-11 | Problem set 16: Wednesday 12-16, CU1-067 |

Tue Oct 22: 10-12, B2-030 | Lecture 17: Review. Stationary point and extreme points. | [EMEA] 9.1-2, 6.3 | Problem set 17 |

Wed Oct 23: 10-12, B2-030 | Lecture 18: Optimization in one variable. | [EMEA] 9.4, 9.6 | Problem set 18: Wednesday 12-16, CU1-067 |

Tue Oct 29: 10-12, B2-030 | Lecture 19: Review. Implicit differentiation. | [EMEA] 7.1 | Problem set 19 |

Wed Oct 30: 10-12, B2-030 | Lecture 20: Second order derivatives. Convex and concave functions. | [EMEA] 6.9, 9.6, 8.5-6 | Problem set 20: Wednesday 12-16, CU1-067 |

Tue Nov 05: 10-12, B2-030 | Lecture 21: Review. l'Hôspital's rule. | [EMEA] 7.12 | Problem set 21 |

Wed Nov 06: 10-12, B2-030 | Lecture 22: Marginal cost and revenue. Average unit cost, cost optimum. | [EMEA] 6.4, 9.3, 9.5 | Problem set 22: Wednesday 12-16, CU1-067 |

Tue Nov 12: 10-12, B2-030 | Lecture 23: Review. Elasticity. | [EMEA] 7.7 | Problem set 23 |

Wed Nov 13: 10-12, B2-030 | Lecture 24: Linearisation. Taylor polynomials. | [EMEA] 7.4 - 7.5 | Problem set 24: Wednesday 12-16, CU1-067 |

Fri Dec 06: 09-12 | Midterm exam EBA11805 | ||

Thu Dec 19 (not confirmed) | Final exam EBA11806 (retake) | ||