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] 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

Lecture Part 1: Friday at 08-10 in B2-060, with some exceptions (see the lecture plan below)
Exercise sessions: Friday at 10-13 for the time being on Zoom; Learning Assistants will be present (link will be posted weekly in It's Learning)
Lecture Part 2: Friday at 13-14 on Zoom (link will be posted weekly in It's Learning)

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)

Spring semester	Lecturer Eivind Eriksen (Office B4-032); Office hours by appointment	Reading	Problems
All lectures	Live Stream: See link in you timetable
Fri Jan 15: 0800-0945, B2-060	Lecture 17: Indefinite integral and integration rules. Substitution.	[EMEA] 9.1, 9.6	Problem Set 17: Friday 10-14, Zoom
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, Zoom
Fri Jan 29: 0800-0945, Zoom	Lecture 19: Definite integrals and computation of area. Improper integrals.	[EMEA] 9.2, 9.3, 9.7	Problem Set 19: Friday 10-14, Zoom
Fri Feb 05: 0800-0945, A1-040	Lecture 20: Economic applications. Summary of integration.	[EMEA] 9.4	Problem Set 20: Friday 10-14, Zoom
Fri Feb 12: 1000-1145, A1-040	Lecture 21: Linear systems of equations. Gaussian elimination.	[EMEA] 11.2, 15.1, 15.6	Problem Set 21: Friday 12-14, Zoom
Fri Feb 19: 1000-1145, Zoom	Lecture 22: Matrices and Vectors. Determinants.	[EMEA] 15.1 - 15.5, 16.1 - 16.5	Problem Set 22: Friday 12-14, Zoom
Fri Feb 26: 1000-1145, C1-000	Lecture 23: Determinants and linear systems. Linear system with parameters. Vector equations.	[EMEA] 15.7 - 15.9	Problem Set 23: Friday 12-14, Zoom
Fri Mar 05: 1000-1145, C1-000	Lecture 24: Matrix multiplication. Inverse matrices.	[EMEA] 16.6 - 16.9	Problem Set 24: Friday 12-14, Zoom
Mar 5 - Mar 12	Course paper EBA2901 (retake) - Solutions
Fri Mar 12: 1000-1145, C1-000	Lecture 25: Matrix algebra. Exam MET1180 05/2018 Question 3.		Problem Set 25: Friday 12-14, Zoom
Fri Mar 19: 1000-1145, C1-000	Lecture 26: Functions in several variables. Partial derivatives.	[EMEA] 11.1 - 11.4	Problem Set 26: Friday 12-14, Zoom
Mar 15 - Mar 22	Course paper EBA2903 - Solutions
Fri Mar 26: 1000-1145, C1-000	Lecture 27: Partial derivatives and the Hessian matrix. Gradients. Level curves.	[EMEA] 11.6 - 11.7, 12.3	Problem Set 27: Friday 12-14, Zoom
Fri Apr 09: 1000-1145, A1-040	Lecture 28: Stationary points. Second derivative test. Local and global max/min.	[EMEA] 12.8, 13.1 - 13.4	Problem Set 28: Friday 12-14, Zoom
Mon Apr 12: 1300-1445, B2-030	Lecture C: Linear approximations. Exam MET11803 05/2017 Question 4. Exam MET11803 12/2017 Question 4.		Problem Set C
Fri Apr 16: 1000-1145, C1-000	Lecture 29: Constrained optimization. Extreme value theorem.	[EMEA] 13.5 - 13.6	Problem Set 29: Friday 12-14, Zoom
Fri Apr 23: 1000-1145, C1-000	Lecture 30: Method of Lagrange multipliers.	[EMEA] 14.1 - 14.4	Problem Set 30: Friday 12-14, Zoom
Fri Apr 30: 1000-1145, C1-000	Lecture 31: Interpretation of Lagrange multipliers. More examples.	[EMEA] 14.1 - 14.4	Problem Set 31: Friday 12-14, Zoom
Wed May 26: 1400-1645, C1-010	Lecture 32: Exam problems from Exam EBA2910 06/2020
Thu Mai 27: 1200-1500, Zoom	Extra problem session before the exam.
Mon May 31: 1000-1245, A1-040	Lecture D: Problems. Review.
Wed Jun 02: 1000-1500	Final exam EBA29104 - Solutions	All material in the course.