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.
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 2021/22.

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.
Written 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: Tuesday at 10-12 (B2-060) and Tuesday at 10-12 (B2-060), with some exceptions (see the lecture plan below)
Exercise sessions: Thursday at 12-15 (B2-080); The lecturer and Learning Assistants will be present

Autumn semester	Lecturer Runar Ile (Office B4-023); Office hours Tue 12-14 (by appointment)	Reading	Problems
Wed Aug 24: 10-12, B2-060	Lecture 1: Basic algebra.	[EMEA] 2.1 - 2.5, 2.7	Problem set 1: Wednesday 12-15, B2-065
Tue Aug 30: 10-12, B2-060	Lecture 2: Rates of change. Powers and roots. Interest.	[EMEA] 2.2, 11.1, 11.3	Problem set 2
Wed Aug 31: 10-12, B2-060	Lecture 3: Present value of cash flows. Internal rate of return.	[EMEA] 11.5.1 - 11.5.4	Problem set 3: Wednesday 12-15, B2-065
Tue Sep 06: 10-12, B2-060	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 07: 10-12, B2-060	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 12-15, B2-065
Tue Sep 13: 10-12, B2-060	Lecture 6: Review. Linear and quadratic equations.	[EMEA] 3.1, 3.3	Problem set 6
Wed Sep 14: 10-12, B2-060	Lecture 7: Equations with parameters. Polynomial equations.	[EMEA] 3.2, 4.7	Problem set 7: Wednesday 12-15, B2-065
Tue Sep 20: 10-12, B2-060	Lecture 8: Review. Polynomial division. Factorization.	[EMEA] 4.7	Problem set 8
Wed Sep 21: 10-12, B2-060	Lecture 9: Rational and radical equations. Inequalities.	[EMEA] 3.4 - 3.5, 2.6	Problem set 9: Wednesday 12-15, B2-065
Wed Sep 28: 10-12, B2-060	Lecture 10: Functions and graphs. Linear and quadratic functions. Revenue and cost functions.	[EMEA] 4.1 - 4.6	Problem set 10: Wednesday 12-15, B2-065
Tue Oct 04: 10-12, B2-060	Lecture 11: Review. Some problems from Problem set 10.
Wed Oct 05: 10-12, B2-060	Lecture 12: Circles and Ellipses. Polynomial functions. Rational functions and asymptotes.	[EMEA] 6.3.1 - 6.3.3, 5.4 - 5.5, 4.7, 7.9	Problem set 12: Wednesday 12-15, B2-065
Tue Oct 11: 10-12, B2-060	Lecture 13: Review. Continuity and intermediate value theorem. Inverse functions.	[EMEA] 7.8, 7.10, 5.2 - 5.3	Problem set 13
Wed Oct 12: 10-12, B2-060	Lecture 14: Exponential functions and logarithms.	[EMEA] 4.9 - 4.10	Problem set 14: Wednesday 12-15, B2-065
Oct 14 - 21	Course paper EBA11801 - Solutions		Course paper: Wednesday 12-15, B2-065
Tue Oct 25: 10-12, B2-060	Lecture 15: Some problems from the Course paper		Problem set 15
Wed Oct 26: 10-12, B2-060	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 12-15, B2-065
Tue Nov 01: 10-12, B2-060	Lecture 17: Review. Stationary points and extreme points.	[EMEA] 9.1 - 9.2, 6.3	Problem set 17
Wed Nov 02: 10-12, B2-060	Lecture 18: Optimization in one variable.	[EMEA] 9.4, 9.6	Problem set 18: Wednesday 12-15, B2-065
Tue Nov 08: 10-12, B2-060	Lecture 19: Review. Implicit differentiation.	[EMEA] 7.1	Problem set 19
Wed Nov 09: 10-12, B2-060	Lecture 20: Second order derivatives. Convex and concave functions.	[EMEA] 6.9, 9.6, 8.5 - 8.6	Problem set 20: Wednesday 12-15, B2-065
Nov 07 - 14	Course paper EBA29103 (retake)
Tue Nov 15: 10-12, B2-060	Lecture 21: Review. L'Hôspital's rule.	[EMEA] 7.12	Problem set 21
Wed Nov 16: 10-12, B2-060	Lecture 22: Marginal cost and revenue. Average unit cost. Cost optimum.	[EMEA] 6.4, 9.3, 9.5	Problem set 22: Wednesday 12-15, B2-085
Tue Nov 22: 10-12, B2-060	Lecture 23: Review. Elasticity.	[EMEA] 7.7	Problem set 23
Wed Nov 23: 10-12, B2-060	Lecture 24: Linearisation. Taylor polynomials.	[EMEA] 7.4 - 7.5	Problem set 24: Wednesday 12-15, B2-065
Thu Dec 08: 14-17	Midterm exam EBA11802 - Solutions
Mon Dec 19: 09-14	Final exam EBA29104 - Solutions (retake)

Spring semester	Lecturer Kristina Rognlien Dahl (Office B4-030); Office hours TBA	Reading	Problems
Tue Jan 10: 10-12, B2-060	Lecture 25: Indefinite integral and integration rules.	[EMEA] 10.1	Problem set 25
Thu Jan 12: 10-12, B2-060	Lecture 26: Substitution. Integration by parts.	[EMEA] 10.5 - 10.6	Problem set 26: Thu 12-14, B2-080
Tue Jan 17: 10-12, B2-060	Lecture 27: Review. Problems.		Problem set 27
Thu Jan 19: 10-12, B2-060	Lecture 28: Partial fractions and integration of rational functions.	[EMEA] 10.6	Problem set 28: Thu 12-14, B2-080
Tue Jan 24: 10-12, B2-060	Lecture 29: Definite integrals. Improper integrals.	[EMEA] 10.2 - 10.3, 10.7	Problem set 29
Thu Jan 26: 10-12, B2-060	Lecture 30: Definite integrals and area. Economic applications.	[EMEA] 10.2, 10.4	Problem set 30: Thu 12-14, B2-080
Thu Feb 02: 10-12, B2-060	Lecture 31: Systems of equations. Linear systems.	[EMEA] 12.2, 15.10	Problem set 31: Thu 12-14, B2-080
Tue Feb 07: 10-12, B2-060	Lecture 32: Gaussian elimination. Matrices and vectors.	[EMEA] 12.1, 12.3 - 12.5, 12.8 - 12.9	Problem set 32
Thu Feb 09: 10-12, B2-060	Lecture 33: Determinants and linear systems.	[EMEA] 13.1 - 13.5	Problem set 33: Thu 12-14, B2-080
Tue Feb 14: 10-12, B2-060	Lecture 34: Review. Cramer's rule. Problems.	[EMEA] 13.8	Problem set 34
Thu Feb 16: 10-12, B2-060	Lecture 35: Inverse matrices and determinants.	[EMEA] 13.6 - 13.7	Problem set 35: Thu 12-14, B2-085
Tue Feb 21: 10-12, B2-060	Lecture 36: Review. Problems.		Problem set 36
Thu Feb 23: 10-12, B2-060	Lecture 37: Applications. Computing with matrices and vectors.	[EMEA] 12. 6 - 12.7	Problem set 37: Thu 12-14, B2-080
Tue Feb 28: 10-12, B2-060	Lecture 38: Functions in two variables. Partial derivation.	[EMEA] 14.1 - 14.3	Problem set 38
Thu Mar 02: 10-12, B2-060	Lecture 39: Hessian matrices. Gradientens. Tangents of a level curve. Extra note	[EMEA] 14.6, 15.3	Problem set 39: Thu 12-14, B2-085
Tue Mar 07: 10-12, B2-060	Lecture 40: Review. Linear approximations.	[EMEA] 15.8	Problem set 40
Thu Mar 09: 10-12, B2-060	Lecture 41: Stationary points. The second derivative test.	[EMEA] 17.1 - 17.3	Problem set 41: Thu 12-14, B2-080
Mar 03 - 10	Course paper EBA11801 (resit)
Mar 13 - 20	Course paper EBA11803 - Solution
Tue Mar 21: 10-12, B2-060	Lecture 42: Problems from the course paper.		Problem set 42
Thu Mar 23: 10-12, B2-060	Lecture 43: Global max/min. Extreme value theorem.	[EMEA] 17.5	Problem set 43: Thu 12-14, B2-080
Tue Mar 28: 10-12, B2-060	Lecture 44: Review. Optimization with constraints.	[EMEA] 7.6	Problem set 44
Thu Mar 30: 10-12, B2-060	Lecture 45: Method of Lagrange multipliers.	[EMEA] 18.1	Problem set 45: Thu 12-14, B2-080
Thu Apr 13: 10-12, B2-060	Lecture 46: Examples. Explanation of Lagrange's method.	[EMEA] 18.3 - 18.4	Problem set 46: Thu 12-14, B2-080
Thu Apr 20: 10-12, B2-060	Lecture 47 - Part 2: Interpretation of Lagrange multipliers.	[EMEA] 18.2	Problem set 47: Thu 12-14, B2-080
Thu Apr 27: 10-12, B2-060	Lecture 48 - Part 2: Review. Problems.		Problem set 48: Thu 12-14, B2-080
Fri May 05: 09-12	Midterm exam EBA11802 - Solutions (resit)	All material from the autumn semester.
Mon May 15: 10-12, B2-060	Lecture 49: Review.
Wed May 24: 09-14	Final exam EBA11804 - Solutions - Results	All material from the autumn and spring semester.