EBA 2910 Mathematics for Business Analytics 2019/20

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] Sydsæter, 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

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

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

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.	[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. Linear system with parameters.	[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 - Solutions (retake exam)
Wed Mar 04: 1100-1345, B2-030	Lecture 26: Functions in several variables. Partial derivatives.	[EMEA] 11.1 - 11.4	Problem Set 26: Monday 14-16, B2-050
Wed Mar 11: 1100-1345, B2-030	Lecture 27: Gradients. Level curves. The Hessian matrix.	[EMEA] 11.6 - 11.7, 12.3	Problem Set 27

	Update regarding COVID-19/corona (updated 21/04/2020)
Mar 13 - Mar 20	Course paper EBA29103 - Solutions
Wed Mar 25: 1100-1345	Lecture 28: Stationary points. Second derivative test. Local and global max/min.	[EMEA] 12.8, 13.1 - 13.4	Problem Set 28
Wed Apr 01: 1100-1345	Lecture 29: Constrained optimization. Extreme value theorem.	[EMEA] 13.5 - 13.6	Problem Set 29
Wed Apr 15: 1100-1345	Lecture 30: Constrained optimization. Lagrange's method.	[EMEA] 14.1 - 14.4	Problem Set 30
Wed Apr 22: 1100-1345	Lecture 31: Lagrange problems. Lagrange multipliers.		Problem Set 31

Thu Jun 11: 1200-1500	Lecture 32: Review. Exam problem MET11807 05/2019
Fri Jun 19: 0900-1600	Final exam EBA09101 - Solutions (digital home exam, pass/fail)	All material in the course. Notes on exam preparation.