EBA 1180 Mathematics for Data Science

Reading

Exams

Lecture plan

Spring semester (preliminary plan) 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
Tue Jan 31: 10-12, B2-060
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. [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
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: Interpretation of Lagrange multipliers. [EMEA] 18.2 Problem set 47: Thu 12-14, B2-080
Thu Apr 27: 10-12, B2-060 Lecture 48: Review. Problems. Problem set 48: Thu 12-14, B2-080
Fri May 05: 09-12 Midterm exam EBA11802(resit) All material from the autumn semester.
Wed May 24: 09-14 Final exam EBA11804 All material from the autumn and spring semester.

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)