# 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. - From the 2022/23 academic year, EBA1180 Mathematics for Data Science is the new name for EBA2910 Mathematics for Business Analytics (2018-2021); The program BSc Business Analytics also changes name to BSc Data Science for Business.
- For material from last year's course, see EBA 2910 Mathematics for Business Analytics 2020/21.

### Reading

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

**Lectures**: Wednesday at 10-12 in B2-060, with some exceptions (see the lecture plan below)**Exercise sessions**: Wednesday at 12-15; Learning Assistants will be present

Autumn semester | Lecturer Runar Ile (Office B4-023); Office hours Monday 15-17 by appointment (email) | Reading | Problems | |
---|---|---|---|---|

Wed Aug 25: 1000-1145, B2-060 | Lecture 1: Basic algebra. | [EMEA] 2.1 - 2.5, 2.7 | Problem set 1: Wednesday 12-15, D1-065 | |

Wed Sep 01: 1000-1145, B2-060 | Lecture 2: Rates of change. Powers and roots. Interest. | [EMEA] 2.2, 11.1, 11.3 | Problem set 2: Wednesday 12-15, D1-065 | |

Mon Sep 06: 1500-1645, B2-060 |
Lecture 3: Present value. Finite geometric series. Annuities and annuity mortages. | [EMEA] 11.4.1 - 11.4.3, 11.5.1 - 11.5.4 | Problem set 3 | |

Wed Sep 08: 0800-0945, B2-010 |
Lecture 4: Infinite geometric series and limits. Euler's number and continuous compounding. | [EMEA] 11.4.4 - 11.4.10, 4.9.2, 6.11.4, 11.2, 11.3.2 | Problem set 4: Wednesday 12-15, D1-065 | |

Wed Sep 15: 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 12-15, D1-065 | |

Wed Sep 22: 1000-1145, B2-060 | Lecture 6: Polynomial division. Factorization. Rational and radical equations. Inequalities. | [EMEA] 4.7, 3.4 - 3.5, 2.6 | Problem set 6: Wednesday 12-15, D1-065 | |

Wed Sep 29: 1000-1145, B2-060 | Lecture 7: Functions and graphs. Linear and quadratic functions. Cost and revenue functions. | [EMEA] 4.1 - 4.6 | Problem set 7: Wednesday 12-15, D1-065 | |

Wed Oct 06: 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 12-15, D1-065 | |

Mon Oct 11: 1500-1645, B2-060 |
Lecture 9: Rational functions and asymptotes. Continuity. Composite functions. | [EMEA] 4.7, 7.9, 7.8, 5.2 | Problem set 9 | |

Wed Oct 13: 1000-1145, B2-060 | Lecture 10: Inverse functions. Exponential functions and logarithms. | [EMEA] 5.3, 4.9 - 4.10 | Problem set 10: Wednesday 12-15, D1-065 | |

October 15 - October 22 | Course paper EBA29101 - Solution | Course paper: Wednesday 12-15, D1-065 | ||

Wed Oct 27: 1000-1145, B2-060 | Lecture 11: Tangents. Differentiation and rules for differentiation. | [EMEA] 6.1 - 6.2, 6.6 - 6.8 | Problem set 11: Wednesday 12-15, D1-065 | |

Mon Nov 01: 1500-1645, B2-060 |
Lecture 12: Some problems from the Term Paper. | Problem set 12 | ||

Wed Nov 03: 1000-1145, B2-060 | Lecture 13: Rules for differentiation. Optimization in one variable. | [EMEA] 6.3, 6.10 - 6.11, 9.1 - 9.2, 9.4, 9.6 | Problem set 13: Wednesday 12-15, D1-065 | |

Wed Nov 10: 1000-1145, B2-060 | Lecture 14: Implicit differentiation. Second order derivatives. Convex and concave functions. | [EMEA] 7.1, 6.9, 9.6, 8.5 - 8.6 | Problem set 14: Wednesday 12-15, D1-065 | |

Wed Nov 17: 1000-1145, B2-060 | Lecture 15: l'Hôspital's rule. Marginal cost and revenue. | [EMEA] 7.12, 6.4, 9.3, 9.5 | Problem set 15: Wednesday 12-15, D1-065 | |

Wed Nov 24: 1000-1145, B2-060 | Lecture 16: Elasticity. Linearisation. Taylor polynomials. | [EMEA] 7.7, 7.4 - 7.5 | Problem set 16: Wednesday 12-15, D1-065 | |

Fri Dec 10: 0900-1200 | Midterm exam - Solutions | |||

Mon Dec 20: 0900-1400 | Final exam - Solutions (retake) | |||

Spring semester | Lecturer Eivind Eriksen (Office B4-032); Office hours Tue 12-14 | Reading | Problems | |

Wed Jan 12: 1000-1145, C2-080 | Lecture 17: Indefinite integral and integration rules. Substitution. | [EMEA] 9.1, 9.6 | Problem Set 17: Thu 12-15, Zoom | |

Wed Jan 19: 1000-1145, C2-080 | Lecture 18: Substitution. Integration by parts. Partial fractions. | [EMEA] 9.5, 9.6 | Problem Set 18: Thu 12-15, Zoom | |

Wed Jan 26: 1000-1145, C2-080 | Lecture 19: Definite integrals and computation of area. Improper integrals. | [EMEA] 9.2, 9.3, 9.7 | Problem Set 19: Thu 12-15, Zoom | |

Wed Feb 02: 1000-1145, B2-040 | Lecture 20: Economic applications. Summary of integration. | [EMEA] 9.4 | Problem Set 20: Thu 12-15, D3-019 | |

Wed Feb 09: 1000-1145, B2-040 | Lecture 21: Linear systems of equations. Gaussian elimination. | [EMEA] 11.2, 15.1, 15.6 | Problem Set 21: Thu 12-15, D3-019 | |

Wed Feb 16: 1000-1145, B2-040 | Lecture 22: Matrices and Vectors. Determinants. | [EMEA] 15.1 - 15.5, 16.1 - 16.5 | Problem Set 22: Thu 12-15, D3-080 | |

Wed Feb 23: 1000-1145, B2-040 | Lecture 23: Determinants and linear systems. Linear system with parameters. | [EMEA] 15.7 - 15.9 | Problem Set 23: Thu 12-15, D3-080 | |

Wed Mar 02: 1000-1145, B2-040 | Lecture 24: Matrix multiplication. Inverse matrices. | [EMEA] 16.6 - 16.9 | Problem Set 24: Thu 12-15, D3-080 | |

Wed Mar 09: 1000-1145, B2-040 | Lecture 25: Summary. Exam MET1180 05/2019 Q1, Exam MET1180 05/2017 Q1. | Problem Set 25: Thu 12-15, D3-080 | ||

Fri Mar 11: 1200 | Course paper EBA29101 - Løsning (retake) | |||

Wed Mar 16: 1000-1145, B2-040 | Lecture 26: Functions in several variables. Partial derivatives. | [EMEA] 11.1 - 11.4 | Problem Set 26: Thu 12-15, D3-080 | |

Mon Mar 21: 1200 | Course paper EBA29103 - Solutions | |||

Wed Mar 23: 1000-1145, B2-040 | Lecture 27: Gradients. Level curves. The Hessian matrix. | [EMEA] 11.6 - 11.7, 12.3 | Problem Set 27: Thu 12-15, D3-080 | |

Wed Mar 30: 1000-1145, B2-040 | Lecture 28: Stationary points. Second derivative test. Local and global max/min. | [EMEA] 12.8, 13.1 - 13.4 | Problem Set 28: Thu 12-15, D3-080 | |

Wed Apr 06: 1000-1145, B2-040 | Lecture 29: Constrained optimization. Extreme value theorem. | [EMEA] 13.5 - 13.6 | Problem Set 29: Thu 12-15, D3-080 | |

Wed Apr 20: 1000-1145, B2-040 | Lecture 30: Lagrange's multiplier method. | [EMEA] 14.1 - 14.4 | Problem Set 30: Thu 12-15, D3-080 | |

Fri Apr 22: 0800-0945, B2-040 | Lecture 31: Interpretation of Lagrange multipliers. Examples. | Problem Set 31: Fri 12-15, D3-080 | ||

Wed Apr 27: 1000-1145, B2-040 | Lecture 32: Review. Exam problems. | Problem Set 32: Thu 12-15, D1-065 | ||

Tue May 10: 0900-1200 | Midterm exam - Solutions (retake) | All material from the autumn semester. | ||

Wed May 23: 0900-1400 | Final exam - Solutions - Results | All material in the course. | ||