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.