# 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. - Short presentation of the course from academic day
- The course will run for the first time in the 2019/2020 academic year.

### 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 exams with solutions.

### Lecture plan

**Lectures**: Wednesday at 11-14, with some exceptions (see the lecture plan below)**Exercise sessions**: Monday at 14-16 in B2-050 with some exceptions (see below); Lecturer and Learning Assistants will be present

Spring semester | Lecturer Eivind Eriksen (Office B4-032); Office hours Thu 09-11 | Reading | Problems |
---|---|---|---|

Mon Jan 06: 1400-1745, B2-060 |
Lecture 17: Indefinite integral and integration rules. Substitution. | [EMEA] 9.1, 9.6 | Problem Set 17 |

Wed Jan 08: 1100-1345, B2-030 | Lecture 18: Substitution. Integration by parts. Partial fractions. | [EMEA] 9.5, 9.6 | Problem Set 18: Monday 14-16, B2-050 |

Wed Jan 15: 1100-1345, B2-030 | Lecture 19: Definite integrals and computation of area. Improper integrals. | [EMEA] 9.2, 9.3, 9.7 | Problem Set 19: Monday 14-16, B2-050 |

Wed Jan 22: 1100-1345, B2-030 | Lecture 20: Economic applications. Summary of integration. | [EMEA] 9.4 | Problem Set 20: Monday 14-16, B2-050 |

Wed Jan 29: 1100-1345, B2-030 | Lecture 21: Linear systems of equations. Gaussian elimination. | [EMEA] 11.2, 15.1, 15.6 | Problem Set 21: Monday 14-16, B2-050 |

Wed Feb 05: 1100-1345, B2-030 | Lecture 22: Matrices and Vectors. Determinants and linear systems. | [EMEA] 15.1 - 15.5, 16.1 - 16.5 | Problem Set 22: Monday 14-16, B2-050 |

Wed Feb 12: 1100-1345, B2-045 |
Lecture 23: Determinants and linear systems. Vector calculus. | [EMEA] 15.7 - 15.9 | Problem Set 23: Monday 14-16, B2-050 |

Wed Feb 19: 1100-1345, B2-030 | Lecture 24: Inverse matrices. | [EMEA] 16.6 - 16.9 | Problem Set 24: Monday 14-16, B2-050 |

Wed Feb 26: 1100-1345, B2-030 | Lecture 25: Matrix algebra. Exam problems. | Problem Set 25: Monday 14-16, B2-050 | |

Mar 04 - Mar 11 | Course paper EBA29101 (retake exam) | ||

Wed Mar 04: 1100-1345, B2-030 | Lecture 26: Functions in several variables. Partial derivatives. | Problem Set 26: Monday 14-16, B2-050 | |

Wed Mar 11: 1100-1345, B2-030 | Lecture 27: Gradients. Level curves. The Hessian matrix. | Problem Set 27: Monday 14-16, B2-050 | |

Mar 13 - Mar 20 | Course paper EBA29103 | ||

Wed Mar 18: 1100-1345, B2-060 |
Lecture 28: Stationary points. Second derivative test. Local and global max/min. | Problem Set 28: Monday 14-16, B2-050 | |

Wed Mar 25: 1100-1345, B2-030 | Lecture 29: Constrained optimization. Extreme value theorem. | Problem Set 29 | |

Mon Mar 30: 1400-1645, B2-060 |
Lecture 30: Lagrange's method. Lagrange multipliers. | Problem Set 30 | |

Wed Apr 01: 1100-1345, B2-030 | Lecture 31: Exam problems. | Problem Set 31 | |

Tue May 12: 0900-1200 | Multiple choice exam EBA29102 (retake exam) | All material from the autumn semester | |

TBA | Lecture 32: Review. Exam problems. | ||

Tue May 26: 0900-1400 | Final exam EBA29104 | All material in the course (autumn and spring semester) | |

Autumn semester | Lecturer Runar Ile (Office B4-023); Office hours Tuesday 10-12 | Reading | Problems |

Wed Aug 21: 1100-1345, D3-191 | Lecture 1: Basic algebra. | [EMEA] 2.1 - 2.6, 2.8 | Problem set 1: Wednesday 14-16, B2-085 |

Fri Aug 23: 0800-1045, B2-060 |
Lecture 2: Rates of change. Powers and roots. Interest. | [EMEA] 2.2, 10.1, 10.3 | Problem set 2 |

Wed Aug 28: 1100-1345, D3-191 | 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: Wednesday 14-16, B2-085 |

Wed Sep 04: 1100-1345, D3-191 | 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 14-16, B2-085 |

Wed Sep 11: 0800-1045, D3-191 | Lecture 5: Linear and quadratic equations. Equations with parameters. Polynomial equations. | [EMEA] 3.1 - 3.3, 4.7 | Problem set 5: Wednesday 14-16, B2-085 |

Wed Sep 18: 1100-1345, D3-191 | Lecture 6: Polynomial division. Factorization. Rational and radical equations. Inequalities. | [EMEA] 4.7, 3.4 - 3.5, 2.6 | Problem set 6: Wednesday 14-16, B2-085 |

Wed Sep 25: 1100-1345, D3-191 | Lecture 7: Functions and graphs. Linear and quadratic functions. Cost and revenue functions. | [EMEA] 4.1 - 4.6 | Problem set 7: Wednesday 14-16, B2-085 |

Wed Oct 02: 1100-1345, D3-191 | 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 14-16, B2-085 |

Fri Oct 04: 0800-1045, B1-030 |
Lecture 9: Rational functions and asymptotes. Continuity. Composite functions. | [EMEA] 4.7, 7.9, 7.8, 5.2 | Problem set 9: Wednesday 14-16, B2-085 |

October 03 - October 11 | Course paper EBA29101 - Solutions | ||

Wed Oct 16: 1100-1345, D3-191 | Lecture 10: Inverse functions. Exponential functions and logarithms. | [EMEA] 5.3, 4.9 - 4.10 | Problem set 10: Wednesday 14-16, B2-085 |

Wed Oct 23: 1100-1345, D3-191 | Lecture 11: Tangents. Differentiation and rules for differentiation. | [EMEA] 6.1 - 6.4, 6.6 - 6.8 | Problem set 11: Wednesday 14-16, B2-085 |

Wed Oct 30: 1100-1345, D3-191 | 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: Wednesday 14-16, B2-085 |

Wed Nov 06: 1000-1245, D3-191 |
Lecture 13: Implicit differentiation. Second order derivatives. Convex and concave functions. | [EMEA] 7.1, 6.9, 8.6 - 8.7 | Problem set 13: Wednesday 14-16, C2-065 |

Wed Nov 13: 1100-1345, D3-191 | Lecture 14: l'Hôspital's rule. Marginal cost and revenue. Elasticity. | [EMEA] 7.12, 8.3, 8.5, 7.7 | Problem set 14: Wednesday 14-16, B2-085 |

Fri Nov 15: 0800-1045, D3-191 |
Lecture 15: Linearisation. Taylor polynomials. | [EMEA] 7.4 - 7.5 | Problem set 15 |

Wed Nov 20: 1100-1345, D3-191 | Lecture 16: Review of important topics. Exam problems. | Problem set 16 | |

Wed Dec 11: 0900-1200 | Multiple choice exam 11/12/2019 - Solutions - Results | ||