EBA 1180 Mathematics for Data Science

Course description for EBA 1180 Mathematics for Data Science, a core course in the BSc Data Science for Business 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 1180 Mathematics for Data Science 2022/23.

Reading

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

Exams

Written exam (EBA11805) at the end of the autumn semester (3h, counts 40%), and written exam (EBA11806) at the end of the spring semester (5h, counts 60%), with grade A-F. Both exams must be passed to complete the course.
There will be re-take exams the following semester for both exams.
Previous exam problems with solutions.

Lecture plan

Lectures: Tuesday at 10-12 (B2-030) and Wednesday at 10-12 (B2-040), with some exceptions (see the lecture plan below)
Exercise sessions: Wednesday at 12-17+ (D1-065); The lecturer and Learning Assistants will be present

Autumn semester	Lecturer Runar Ile (Office B3y-087); Office hours Tue 12-14 (by appointment)	Reading	Problems
Wed Aug 23: 10-12, B2-040	Lecture 1: Basic algebra.	[EMEA] 2.1 - 2.5, 2.7	Problem set 1: Wednesday 12-17, D1-065
Tue Aug 29: 10-12, B2-030	Lecture 2: Rates of change. Powers and roots. Interest.	[EMEA] 2.2, 11.1, 11.3	Problem set 2
Wed Aug 30: 10-12, B2-040	Lecture 3: Present value of cash flows. Internal rate of return.	[EMEA] 11.5.1 - 11.5.4	Problem set 3: Wednesday 12-17, D1-065
Tue Sep 05: 10-12, B2-030	Lecture 4: Review. Finite geometric series. Annuities.	[EMEA] 11.4.1 - 11.4.3, 6.11.4, 11.2, 11.3.2	Problem set 4
Wed Sep 06: 10-12, B2-040	Lecture 5: 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 5: Wednesday 12-17, D1-065
Tue Sep 12: 10-12, B2-030	Lecture 6: Review. Linear and quadratic equations.	[EMEA] 3.1, 3.3	Problem set 6
Wed Sep 13: 10-12, B2-040	Lecture 7: Equations with parameters. Polynomial equations.	[EMEA] 3.2, 4.7	Problem set 7: Wednesday 12-17, D1-065
Tue Sep 19: 10-12, B2-030	Lecture 8: Review. Polynomial division. Factorization.	[EMEA] 4.7	Problem set 8
Wed Sep 20: 10-12, B2-040	Lecture 9: Rational and radical equations. Inequalities.	[EMEA] 3.4 - 3.5, 2.6	Problem set 9: Wednesday 12-17, D1-065
Wed Sep 27: 10-12, B2-040	Lecture 10: Functions and graphs. Linear and quadratic functions. Profit functions.	[EMEA] 4.1 - 4.6	Problem set 10: Wednesday 12-17, D1-065
Tue Oct 03: 10-12, B2-030	Lecture 11: Review.		Problem set 11
Wed Oct 04: 10-12, B2-040	Lecture 12: Increasing/decreasing functions. Circles. Ellipses. Polynomial functions.	[EMEA] 6.3.1 - 6.3.3, 5.4 - 5.5, 4.7, 7.9	Problem set 12: Wednesday 12-17, D1-065
Tue Oct 10: 10-12, B2-030	Lecture 13: Rational functions and asymptotes.	[EMEA] 7.8, 7.10, 5.2 - 5.3	Problem set 13
Wed Oct 11: 10-12, B2-040	Lecture 14: Inverse functions. Exponential functions. Logarithms.	[EMEA] 4.9 - 4.10	Problem set 14: Wednesday 12-17, D1-065
Tue Oct 17: 10-12, B2-030	Lecture 15: Review.		Problem set 15
Wed Oct 18: 10-12, B2-040	Lecture 16: Tangents, differentiation and rules for differentiation.	[EMEA] 6.1 - 6.2, 6.6 - 6.8, 6.10 - 6.11	Problem set 16: Wednesday 12-17, D1-065
Tue Oct 24: 10-12, B2-030	Lecture 17: Review. Stationary (critical) points and extreme points.	[EMEA] 9.1 - 9.2, 6.3	Problem set 17
Wed Oct 25: 10-12, B2-040	Lecture 18: Optimization in one variable.	[EMEA] 9.4, 9.6	Problem set 18: Wednesday 12-17, D1-065
Mon Oct 30: 1200	Course paper EBA11801 (retake)
Tue Oct 31: 10-12, B2-030	Lecture 19: Review. Implicit differentiation.	[EMEA] 7.1	Problem set 19
Wed Nov 01: 10-12, B2-040	Lecture 20: Second order derivatives. Convex and concave functions.	[EMEA] 6.9, 9.6, 8.5 - 8.6	Problem set 20: Wednesday 12-17, D1-065
Tue Nov 07: 10-12, B2-030	Lecture 21: Review. L'Hôspital's rule.	[EMEA] 7.12	Problem set 21
Wed Nov 08: 10-12, B2-040	Lecture 22: Marginal cost and revenue. Average unit cost. Cost optimum.	[EMEA] 6.4, 9.3, 9.5	Problem set 22: Wednesday 12-17, B2-085
Fre Nov 10: 1200	Course paper EBA11803 (retake)
Tue Nov 14: 10-12, B2-030	Lecture 23: Review. Elasticity.	[EMEA] 7.7	Problem set 23
Wed Nov 15: 10-12, B2-040	Lecture 24: Linearisation. Taylor polynomials.	[EMEA] 7.4 - 7.5	Problem set 24: Wednesday 12-17, D1-065
Tue Dec 12: 14-17	Midterm exam EBA11805 (ordinary) / EBA11802 (retake)
Mon Dec 18: 09-14	Final exam EBA11804 (retake)