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 emphasis on applications in econmics and finance.
For material from last year's course, see EBA 1180 Mathematics for Data Science 2024/25.

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 (D3-191), with some exceptions (see the lecture plan below)
Exercise sessions: Thursday at 12-15 (D3-191); The lecturer and Learning Assistants will be present

Spring semester	Lecturer Kristina Rognlien Dahl (Office B3y-086)	Reading	Problems
Tue Jan 06: 10-12, B2-030	Lecture 25: Indefinite integral and integration rules.	[EMEA] 10.1	Problem set 25
Thu Jan 08: 10-12, D3-191	Lecture 26: Substitution. Integration by parts.	[EMEA] 10.5 - 10.6	Problem set 26: Thu 12-15, D3-191
Tue Jan 13: 10-12, B2-030	Lecture 27: Review. Problems.		Problem set 27
Thu Jan 15: 10-12, D3-191	Lecture 28: Partial fractions and integration of rational functions	[EMEA] 10.6	Problem set 28: Thu 12-15, D3-191
Tue Jan 20: 10-12, B2-030	Lecture 29: Definite integrals. Improper integrals.	[EMEA] 10.2 - 10.3, 10.7	Problem set 29
Thu Jan 22: 10-12, D3-191	Lecture 30: Definite integrals and area. Economic applications.	[EMEA] 10.2, 10.4	Problem set 30: Thu 12-15, D3-191
Tue Jan 27: 10-12, B2-030	Lecture 31: Systems of equations. Linear systems.	[EMEA] 12.2, 15.10	Problem set 31
Thu Jan 29: 10-12, D3-191	Lecture 32: Gaussian elimination. Matrices and vectors.	[EMEA] 12.1 - 12.5, 12.8 - 12.9	Problem set 32: Thu 12-15, D3-191
Tue Feb 03: 10-12, B2-030	Lecture 33: Vectors. Determinants. Cramer's rule.	[EMEA] 13.8	Problem set 33
Thu Feb 05: 10-12, D3-191	Lecture 34: Determinants and linear systems. Parameters.	[EMEA] 13.1 - 13.5	Problem set 34: Thu 12-15, D3-191
Tue Feb 10: 10-12, B2-030	Lecture 35: Linear combinations. Matrix algebra.	[EMEA] 12.6 - 12.7	Problem set 35
Thu Feb 12: 10-12, D3-191	Lecture 36: Inverse matrices. Examples.	[EMEA] 13.6 - 13.7	Problem set 36: Thu 12-15, D3-191
Tue Feb 24: 10-12, B2-030	Lecture 37: Exercises. More inverses. The dot product.	[EMEA] 12.6 - 12.7	Problem set 37
Thu Feb 26: 10-12, D3-191	Lecture 38: Functions in two variables. Partial derivation.	[EMEA] 14.1 - 14.3	Problem set 38: Thu 12-15, D3-191
Tue Mar 03: 10-12, B2-030	Lecture 39: Hessian matrices. Gradientens. Tangents of a level curve.	[EMEA] 14.6, 15.3	Problem set 39
Thu Mar 05: 10-12, D3-191	Lecture 40: Review. Linear approximations.	[EMEA] 15.8	Problem set 40: Thu 12-15, D3-191
Tue Mar 10: 10-12, B2-030	Lecture 41: Stationary points. The second derivative test.	[EMEA] 17.1 - 17.3	Problem set 41
Thu Mar 12: 10-12, D3-191	Lecture 42: Review. Problems.		Problem set 42: Thu 12-15, D3-191
Tue Mar 17: 10-12, B2-030	Lecture 43: Global max/min. Extreme value theorem.	[EMEA] 17.5	Problem set 43
Thu Mar 19: 10-12, D3-191	Lecture 44: Review. Optimization with constraints.	[EMEA] 17.6	Problem set 44: Thu 12-15, D3-191
Tue Mar 24: 10-12, B2-030	Lecture 45: Lagrange multiplier method.	[EMEA] 18.1	Problem set 45
Thu Mar 26: 10-12, D3-191	Lecture 46: Examples. More Lagrange multiplier method.	[EMEA] 18.3 - 18.4	Problem set 46: Thu 12-15, D3-191
Tue Apr 07: 10-12, B2-030	Lecture 47: Interpretation of Lagrange multipliers.	[EMEA] 18.2	Problem set 47
Thu Apr 09: 10-12, D3-191	Lecture 48: Review. Problems.		Problem set 48: Thu 12-15, D3-191
Mon May 04: 09-12	Midterm exam EBA11805 (continuation)	All material from the autumn semester.
Fri May 22: 09-14	Final exam EBA11806	All material from the autumn and spring semester.

Autumn semester	Lecturer Runar Ile (Office B3y-087); Office hours Monday 14-16	Reading	Problems
Wed Aug 20: 10-12, B2-060	Lecture 1: Basic algebra.	[EMEA] 2.1 - 2.5, 2.7	Problem set 1: Wednesday 12-16, CU1-067
Tue Aug 26: 10-12, B2-060	Lecture 2: Rates of change. Powers and roots. Interest.	[EMEA] 2.2, 11.1, 11.3	Problems from the textbook [EMEA]
Wed Aug 27: 10-12, B2-060	Lecture 3: Present value. Internal rate of return.	[EMEA] 11.5.1 - 11.5.4	Problem set 3: Wednesday 12-16, CU1-067
Tue Sep 02: 10-12, B2-060	Lecture 4: Review. Finite geometric series. Annuities.	[EMEA] 11.4.1 - 11.4.3, 4.9.2	Problems from the textbook [EMEA]
Wed Sep 03: 10-12, B2-060	Lecture 5: Infinite geometric series and limits. Continuous compounding.	[EMEA] 11.4.4 - 12.4.10, 4.9.2	Problem set 5: Wednesday 12-16, CU1-067
Tue Sep 09: 10-12, B2-060	Lecture 6: Review. Linear and quadratic equations.	[EMEA] 3.1, 3.3	Problems from the textbook [EMEA]
Wed Sep 10: 10-12, B2-060	Lecture 7: Equations with parameters. Polynomial equations.	[EMEA] 3.2, 4.7	Problem set 7: Wednesday 12-16, CU1-067
Tue Sep 16: 10-12, B2-060	Lecture 8: Review. Polynomial division. Factorization.	[EMEA] 4.7	Problems from the textbook [EMEA]
Wed Sep 17: 10-12, B2-060	Lecture 9: Rational and radical equations. Inequalities.	[EMEA] 3.4 - 5, 2.6	Problem set 9: Wednesday 12-16, CU1-067
Wed Sep 24: 10-12, B2-060	Lecture 10: Functions and graphs. Linear and quadratic functions.	[EMEA] 4.1 - 4.6	Problem set 10: Wednesday 12-16, CU1-067
Tue Sep 30: 10-12, B2-060	Lecture 11: Review.	[EMEA] 6.3.1 - 6.3.3, 5.4 - 5.5	Problems from the textbook [EMEA]
Wed Oct 01: 10-12, B2-060	Lecture 12: Increasing functions. Circles and ellipses. Polynomial functions.	[EMEA] 5.5, 4.7, 7.9	Problem set 12: Wednesday 12-16, CU1-067
Tue Oct 07: 10-12, B2-060	Lecture 13: Rational functions and asymptotes.	[EMEA] 7.8, 7.10, 5.2-3	Problems from the textbook [EMEA]
Wed Oct 08: 10-12, B2-060	Lecture 14: Inverse functions. Exponential functions and logarithms.	[EMEA] 5.3, 4.9 - 10	Problem set 14: Wednesday 12-16, CU1-067
Tue Oct 21: 10-12, B2-060	Lecture 15: Review.		Problems from the textbook [EMEA]
Wed Oct 22: 10-12, B2-060	Lecture 16: Tangents. Differentiation and rules for differentiation.	[EMEA] 6.1, 6.6-8, 6.10-11	Problem set 16: Wednesday 12-16, CU1-067
Tue Oct 28: 10-12, B2-060	Lecture 17: Review. Stationary point and extreme points.	[EMEA] 9.1-2, 6.3	Problems from the textbook [EMEA]
Wed Oct 29: 10-12, B2-060	Lecture 18: Optimization in one variable.	[EMEA] 9.4, 9.6	Problem set 18: Wednesday 12-16, CU1-067
Tue Nov 04: 10-12, B2-060	Lecture 19: Review. Implicit differentiation.	[EMEA] 7.1	Problems from the textbook [EMEA]
Wed Nov 05: 10-12, B2-060	Lecture 20: Second order derivatives. Convex and concave functions.	[EMEA] 6.9, 9.6, 8.5-6	Problem set 20: Wednesday 12-16, CU1-067
Tue Nov 11: 10-12, B2-060	Lecture 21: Review. l'Hôspital's rule.	[EMEA] 7.12	Problems from the textbook [EMEA]
Wed Nov 12: 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 12-16, CU1-067
Tue Nov 18: 10-12, B2-060	Lecture 23: Review. Elasticity.	[EMEA] 7.7	Problems from the textbook [EMEA]
Wed Nov 19: 10-12, B2-060	Lecture 24: Linearisation. Taylor polynomials.	[EMEA] 7.4 - 7.5	Problem set 24: Wednesday 12-16, CU1-067
Fri Dec 05: 09-12	Midterm exam EBA11805 - Solutions - Results	All material from the autumn semester.
Thu Dec 18: 09-14	Final exam EBA11806 - Solutions (retake)	All material from the autumn and spring semester.