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 Thursday at 10-12 (B2-030), with some exceptions (see the lecture plan below)
Exercise sessions: Thursday at 12-15 (B2-065); The lecturer and Learning Assistants will be present

Spring semester	Lecturer Kristina Rognlien Dahl (Office B3y-086); Office hours TBA	Reading	Problems
Tue Jan 09: 10-12, B2-030	Lecture 25: Indefinite integral and integration rules.	[EMEA] 10.1	Problem set 25
Thu Jan 11: 10-12, B2-030	Lecture 26: Substitution. Integration by parts.	[EMEA] 10.5 - 10.6	Problem set 26: Thu 12-15, B2-065
Tue Jan 16: 10-12, B2-030	Lecture 27: Review. Problems.		Problem set 27
Thu Jan 18: 10-12, B2-030	Lecture 28: Partial fractions and integration of rational functions - Part 2	[EMEA] 10.6	Problem set 28: Thu 12-15, B2-065
Tue Jan 23: 10-12, B2-030	Lecture 29: Definite integrals. Improper integrals.	[EMEA] 10.2 - 10.3, 10.7	Problem set 29
Thu Jan 25: 10-12, B2-030	Lecture 30: Definite integrals and area. Economic applications. - Part 2	[EMEA] 10.2, 10.4	Problem set 30: Thu 12-15, B2-065
Thu Feb 01: 10-12, B2-030	Lecture 31: Systems of equations. Linear systems and Gaussian elimination.	[EMEA] 12.2, 15.10	Problem set 31: Thu 12-15, B2-065
Tue Feb 06: 10-12, B2-030	Lecture 32: Free variables. Number of solutions of linear systems. Vectors.	[EMEA] 12.1, 12.3 - 12.5, 12.8 - 12.9	Problem set 32
Thu Feb 08: 10-12, B2-030	Lecture 33: Vectors. Determinants and linear systems. Cramer's rule.	[EMEA] 13.1 - 13.5	Problem set 33: Thu 12-15, B2-065
Tue Feb 13: 10-12, B2-030	Lecture 34: Determinants and linear systems. Problems. - Part 2	[EMEA] 13.8	Problem set 34
Thu Feb 15: 10-12, B2-030	Lecture 35: Vector equations. Matrix multiplication. The transpose.	[EMEA] 13.6 - 13.7	Problem set 35: Thu 12-15, B2-085
Tue Feb 20: 10-12, B2-030	Lecture 36: Review. Problems.		Problem set 36
Thu Feb 22: 10-12, B2-030	Lecture 37: Computing inverse matrices. Problems.	[EMEA] 12.6 - 12.7	Problem set 37: Thu 12-15, D3-080
Tue Feb 27: 10-12, B2-030	Lecture 38: Functions in two variables. Partial derivation.	[EMEA] 14.1 - 14.3	Problem set 38
Thu Feb 29: 10-12, B2-030	Lecture 39: Hessian matrices. Gradientens. Tangents of a level curve.	[EMEA] 14.6, 15.3	Problem set 39: Thu 12-15, B2-085
Tue Mar 05: 10-12, B2-030	Lecture 40: Review. Linear approximations.	[EMEA] 15.8	Problem set 40
Thu Mar 07: 10-12, B2-030	Lecture 41: Stationary points. The second derivative test.	[EMEA] 17.1 - 17.3	Problem set 41: Thu 12-15, B2-065
Mar 04 - 11	Course paper EBA11801 (last resit)
Tue Mar 12: 10-12, B2-030	Lecture 42: Review. Problems.		Problem set 42
Thu Mar 14: 10-12, B2-030	Lecture 43: Global max/min. Extreme value theorem.	[EMEA] 17.5	Problem set 43: Thu 12-15, B2-065
Tue Mar 19: 10-12, B2-030	Lecture 44: Review. Optimization with constraints.	[EMEA] 7.6	Problem set 44
Mar 13 - 20	Course paper EBA11803 (last resit)
Thu Mar 21: 10-12, B2-030	Lecture 45: Method of Lagrange multipliers.	[EMEA] 18.1	Problem set 45: Thu 12-15, B2-065
Thu Apr 04: 10-12, B2-030	Lecture 46: Examples. Method of Lagrange multipliers.	[EMEA] 18.3 - 18.4	Problem set 46: Thu 12-15, B2-065
Thu Apr 11: 10-12, B2-030	Lecture 47: Interpretation of Lagrange multipliers. - Part 2	[EMEA] 18.2	Problem set 47: Thu 12-15, B2-065
Thu Apr 18: 10-12, B2-030	Lecture 48: Review. Problems.		Problem set 48: Thu 12-15, B2-065
Fri May 16: 09-12	Midterm exam EBA11805 (resit) and EBA11802 (last resit)	All material from the autumn semester.
Wed May 27: 09-14	Final exam EBA11806 and EBA11804 (last resit)	All material from the autumn and spring semester.

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 - Solutions - Results
Mon Dec 18: 09-14	Final exam EBA11804 (retake) - Solutions