# 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**: Friday at 08-10, with some exceptions (see the lecture plan below) + 1h video lecture**Exercise sessions**: Friday at 10-13 in D1-065; Learning Assistants will be present

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

All lectures | Live Stream: B2-060 - B2-030 - B2-060 | ||

Fri Jan 15: 0800-0945, B2-060 | Lecture 17: Indefinite integral and integration rules. Substitution. Padlet | [EMEA] 9.1, 9.6 | Problem Set 17: Friday 10-14, D1-065 |

Fri Jan 22: 0800-0945, C2-060 | Lecture 18: Substitution. Integration by parts. Partial fractions. | [EMEA] 9.5, 9.6 | Problem Set 18: Friday 10-14, D1-065 |

Fri Jan 29: 0800-0945, B2-060 | Lecture 19: Definite integrals and computation of area. Improper integrals. | [EMEA] 9.2, 9.3, 9.7 | Problem Set 19: Friday 10-13, D1-065 |

Fri Feb 05: 0800-0945, B2-060 | Lecture 20: Economic applications. Summary of integration. | [EMEA] 9.4 | Problem Set 20: Friday 10-14, D1-065 |

Fri Feb 12: 0800-0945, B2-060 | Lecture 21: Linear systems of equations. Gaussian elimination. | [EMEA] 11.2, 15.1, 15.6 | Problem Set 21: Friday 10-14, D1-065 |

Fri Feb 19: 0800-0945, B2-060 | Lecture 22: Matrices and Vectors. Determinants. | [EMEA] 15.1 - 15.5, 16.1 - 16.5 | Problem Set 22: Friday 10-14, D1-065 |

Fri Feb 26: 0800-0945, B2-060 | Lecture 23: Determinants and linear systems. Linear system with parameters. | [EMEA] 15.7 - 15.9 | Problem Set 23: Friday 10-14, D1-065 |

Fri Mar 05: 0800-0945, B2-060 | Lecture 24: Inverse matrices. | [EMEA] 16.6 - 16.9 | Problem Set 24: Friday 10-13, D1-065 |

Mar 5 - Mar 12 | Course paper EBA29101 (retake) | ||

Fri Mar 12: 0800-0945, B2-060 | Lecture 25: Matrix algebra. Exam problems. | Problem Set 25: Friday 10-14, D1-065 | |

Fri Mar 19: 0800-0945, B2-060 | Lecture 26: Functions in several variables. Partial derivatives. | [EMEA] 11.1 - 11.4 | Problem Set 26: Friday 10-14, D1-065 |

Mar 15 - Mar 22 | Course paper EBA29103 | ||

Fri Mar 26: 0800-0945, B2-060 | Lecture 27: Gradients. Level curves. The Hessian matrix. | [EMEA] 11.6 - 11.7, 12.3 | Problem Set 27: Friday 10-14, D1-065 |

Fri Apr 09: 0800-0945, B2-060 | Lecture 28: Stationary points. Second derivative test. Local and global max/min. | [EMEA] 12.8, 13.1 - 13.4 | Problem Set 28: Friday 10-13, D1-065 |

Mon Apr 12: 1300-1445, B2-030 | Lecture 29: Constrained optimization. Extreme value theorem. | [EMEA] 13.5 - 13.6 | Problem Set 29 |

Fri Apr 16: 0800-0945, B2-060 | Lecture 30: Constrained optimization. Lagrange's method. | [EMEA] 14.1 - 14.4 | Problem Set 30: Friday 10-14, D1-065 |

Fri Apr 23: 0800-0945, B2-060 | Lecture 31: Lagrange problems. Lagrange multipliers. | [EMEA] 14.1 - 14.4 | Problem Set 31: Friday 10-14, D1-065 |

Fri Apr 30: 0800-0945, B2-060 | Lecture 32: Review. Exam problems. | Problem Set 32: Friday 10-14, D1-065 | |

Fri May 21: 0900-1200 | Midterm exam EBA29102 (retake) | All material from the autumn semester. | |

Fri Jun 02: 0900-1400 | Final exam EBA29104 | All material in the course. | |

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) - Solutions | ||

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 | |

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 |

Mon Nov 09: 0800-0945, B2-060 | Lecture A: Problems from Problem set 14 | ||

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 | |

Mon Nov 23 | Lecture B: Review for the exam | ||

Thu Dec 10: 1400-1700 | Midterm exam EBA29102 - Solutions | ||

Fri Dec 18: Oral exam | Final exam EBA29104 (retake) | ||