# EBA 2910 Mathematics for Business Analytics

- Course description for EBA 2910 Mathematics for Business Analytics, a core course in the BSc Business Analytics
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 2910 Mathematics for Business Analytics 2019/20.

### Reading

- [EMEA] SydsĂ¦ter, Hammond et al,
*Essential Mathematics for Economic Analysis*, Pearson 2016 - textbook.

### Exams

- Two
**course papers**(to be handed in individually), one in the autumn and one in the spring semester, grade pass/fail. Both must be passed to complete the course. **Multiple choice exam**at the end of the autumn semester (3h, counts 20%), and**written exam**at the end of the spring semester (5h, counts 80%), with grade A-F. Both exams must be passed to complete the course.- There will be re-take exams the following semester for all exams.
- Previous exam problems with solutions.

### Lecture plan

**Lecture**: Wednesday at 10-12, with some exceptions (see the lecture plan below) + 1h video lecture**Exercise sessions**: Wednesday at 13-15 in CU1-067; Learning Assistants will be present

Autumn semester | Lecturer Runar Ile (Office B4-023); Office hours Friday 13-15 | Reading | Problems |
---|---|---|---|

Wed Aug 19: 1000-1145, B2-060 | Lecture 1: Basic algebra. | [EMEA] 2.1 - 2.6, 2.8 | Problem set 1: Wednesday 13-15, CU1-067 |

Wed Aug 26: 1000-1145, B2-060 | Lecture 2: Rates of change. Powers and roots. Interest. | [EMEA] 2.2, 10.1, 10.3 | Problem set 2: Wednesday 13-15, CU1-067 |

Tue Sep 01: 0800-0945, B2-040 | Lecture 3: Present value. Finite geometric series. Annuities and annuity mortages. | [EMEA] 10.4.1 - 10.4.3, 10.5.1 - 10.5.4 | Problem set 3 |

Wed Sep 02: 1000-1145, B2-060 | Lecture 4: Infinite geometric series and limits. Euler's number and continuous compounding. | [EMEA] 10.4.4 - 10.4.10, 4.9.2 | Problem set 4: Wednesday 13-15, CU1-067 |

Wed Sep 09: 1000-1145, B2-060 | Lecture 5: Linear and quadratic equations. Equations with parameters. Polynomial equations. | [EMEA] 3.1 - 3.3, 4.7 | Problem set 5: Wednesday 13-15, CU1-067 |

Wed Sep 16: 1000-1145, C1-020 | Lecture 6: Polynomial division. Factorization. Rational and radical equations. Inequalities. | [EMEA] 4.7, 3.4 - 3.5, 2.6 | Problem set 6: Wednesday 13-15, CU1-067 |

Wed Sep 23: 1000-1145, C1-020 | Lecture 7: Functions and graphs. Linear and quadratic functions. Cost and revenue functions. | [EMEA] 4.1 - 4.6 | Problem set 7: Wednesday 13-15, CU1-067 |

Wed Sep 30: 1000-1145, B2-060 | Lecture 8: Increasing and descreasing functions. Circles and ellipses. Polynomial functions. | [EMEA] 6.3.1 - 6.3.3, 5.4 - 5.5, 4.7 | Problem set 8: Wednesday 13-15, CU1-067 |

Tue Oct 06: 0800-0945, B2-040 | Lecture 9: Rational functions and asymptotes. Continuity. Composite functions. | [EMEA] 4.7, 7.9, 7.8, 5.2 | Problem set 9 |

Wed Oct 07: 1000-1145, B2-060 | Lecture 10: Inverse functions. Exponential functions and logarithms. | [EMEA] 5.3, 4.9 - 4.10 | Problem set 10: Wednesday 13-15, CU1-067 |

October 09 - October 16 | Course paper EBA29101 - Solutions | Course paper: Wednesday 13-15, CU1-067 | |

Tue Oct 20: 0800-0945, B2-060 | Lecture 11: Tangents. Differentiation and rules for differentiation. | [EMEA] 6.1 - 6.4, 6.6 - 6.8 | Problem set 11: Wednesday 13-15, CU1-067 |

October 19 - October 26 | Course paper EBA29103 (retake) | ||

Tue Oct 27: 0800-0945, B2-040 | Lecture 12: Rules for differentiation. Optimization in one variable. | [EMEA] 6.10 - 6.11, 8.1 - 8.2, 8.4, 8.6 | Problem set 12 |

Wed Oct 28: 1000-1145, B2-060 | Lecture 13: Implicit differentiation. Second order derivatives. Convex and concave functions. | [EMEA] 7.1, 6.9, 8.6 - 8.7 | Problem set 13: Wednesday 13-15, CU1-067 |

Wed Nov 04: 1000-1145, B2-060 | Lecture 14: l'Hôspital's rule. Marginal cost and revenue. Elasticity. | [EMEA] 7.12, 8.3, 8.5, 7.7 | Problem set 14: Wednesday 13-15, CU1-067 |

Wed Nov 11: 1000-1145, B2-060 | Lecture 15: Linearisation. Taylor polynomials. | [EMEA] 7.4 - 7.5 | Problem set 15: Wednesday 13-15, CU1-067 |

Wed Nov 18: 1000-1145, B2-060 | Lecture 16: Review of important topics. Exam problems. | Problem set 16: Wednesday 13-15, CU1-067 | |

Thu Dec 10: 1400-1700 | Multiple choice exam EBA29102 | ||

Fri Dec 18: 0900-1400 | Final exam EBA29104 (retake) | ||