EBA 2910 Mathematics for Business Analytics

Reading

Exams

Lecture plan

Spring semester Lecturer Eivind Eriksen (Office B4-032); Office hours Tue 12-14 Reading Problems
Wed Jan 12: 1000-1145, C2-080 Lecture 17: Indefinite integral and integration rules. Substitution. [EMEA] 9.1, 9.6 Problem Set 17: Thu 12-15, Zoom
Wed Jan 19: 1000-1145, C2-080 Lecture 18: Substitution. Integration by parts. Partial fractions. [EMEA] 9.5, 9.6 Problem Set 18: Thu 12-15, Zoom
Wed Jan 26: 1000-1145, C2-080 Lecture 19: Definite integrals and computation of area. Improper integrals. [EMEA] 9.2, 9.3, 9.7 Problem Set 19: Thu 12-15, Zoom
Wed Feb 02: 1000-1145, B2-040 Lecture 20: Economic applications. Summary of integration. [EMEA] 9.4 Problem Set 20: Thu 12-15, D3-019
Wed Feb 09: 1000-1145, B2-040 Lecture 21: Linear systems of equations. Gaussian elimination. [EMEA] 11.2, 15.1, 15.6 Problem Set 21: Thu 12-15, D3-019
Wed Feb 16: 1000-1145, B2-040 Lecture 22: Matrices and Vectors. Determinants. [EMEA] 15.1 - 15.5, 16.1 - 16.5 Problem Set 22: Thu 12-15, D3-080
Wed Feb 23: 1000-1145, B2-040 Lecture 23: Determinants and linear systems. Linear system with parameters. [EMEA] 15.7 - 15.9 Problem Set 23: Thu 12-15, D3-080
Wed Mar 02: 1000-1145, B2-040 Lecture 24: Matrix multiplication. Inverse matrices. [EMEA] 16.6 - 16.9 Problem Set 24: Thu 12-15, D3-080
Wed Mar 09: 1000-1145, B2-040 Lecture 25: Summary. Exam MET1180 05/2019 Q1, Exam MET1180 05/2017 Q1. Problem Set 25: Thu 12-15, D3-080
Fri Mar 11: 1200 Course paper EBA29101 - Løsning (retake)
Wed Mar 16: 1000-1145, B2-040 Lecture 26: Functions in several variables. Partial derivatives. [EMEA] 11.1 - 11.4 Problem Set 26: Thu 12-15, D3-080
Mon Mar 21: 1200 Course paper EBA29103 - Solutions
Wed Mar 23: 1000-1145, B2-040 Lecture 27: Gradients. Level curves. The Hessian matrix. [EMEA] 11.6 - 11.7, 12.3 Problem Set 27: Thu 12-15, D3-080
Wed Mar 30: 1000-1145, B2-040 Lecture 28: Stationary points. Second derivative test. Local and global max/min. [EMEA] 12.8, 13.1 - 13.4 Problem Set 28: Thu 12-15, D3-080
Wed Apr 06: 1000-1145, B2-040 Lecture 29: Constrained optimization. Extreme value theorem. [EMEA] 13.5 - 13.6 Problem Set 29: Thu 12-15, D3-080
Wed Apr 20: 1000-1145, B2-040 Lecture 30: Lagrange's multiplier method. [EMEA] 14.1 - 14.4 Problem Set 30: Thu 12-15, D3-080
Fri Apr 22: 0800-0945, B2-040 Lecture 31: Interpretation of Lagrange multipliers. Examples. Problem Set 31: Fri 12-15, D3-080
Wed Apr 27: 1000-1145, B2-040 Lecture 32: Review. Exam problems. Problem Set 32: Thu 12-15, D1-065
Tue May 10: 0900-1200 Midterm exam - Solutions (retake) All material from the autumn semester.
Wed May 23: 0900-1400 Final exam EBA29104 All material in the course.

Autumn semester Lecturer Runar Ile (Office B4-023); Office hours Monday 15-17 by appointment (email) Reading Problems
Wed Aug 25: 1000-1145, B2-060 Lecture 1: Basic algebra. [EMEA] 2.1 - 2.5, 2.7 Problem set 1: Wednesday 12-15, D1-065
Wed Sep 01: 1000-1145, B2-060 Lecture 2: Rates of change. Powers and roots. Interest. [EMEA] 2.2, 11.1, 11.3 Problem set 2: Wednesday 12-15, D1-065
Mon Sep 06: 1500-1645, B2-060 Lecture 3: Present value. Finite geometric series. Annuities and annuity mortages. [EMEA] 11.4.1 - 11.4.3, 11.5.1 - 11.5.4 Problem set 3
Wed Sep 08: 0800-0945, B2-010 Lecture 4: 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 4: Wednesday 12-15, D1-065
Wed Sep 15: 1000-1145, B2-060 Lecture 5: Linear and quadratic equations. Equations with parameters. Polynomial equations. [EMEA] 3.1 - 3.3, 4.7 Problem set 5: Wednesday 12-15, D1-065
Wed Sep 22: 1000-1145, B2-060 Lecture 6: Polynomial division. Factorization. Rational and radical equations. Inequalities. [EMEA] 4.7, 3.4 - 3.5, 2.6 Problem set 6: Wednesday 12-15, D1-065
Wed Sep 29: 1000-1145, B2-060 Lecture 7: Functions and graphs. Linear and quadratic functions. Cost and revenue functions. [EMEA] 4.1 - 4.6 Problem set 7: Wednesday 12-15, D1-065
Wed Oct 06: 1000-1145, B2-060 Lecture 8: Increasing and descreasing functions. Circles and ellipses. Polynomial functions. [EMEA] 6.3.1 - 6.3.3, 5.4 - 5.5, 4.7 Problem set 8: Wednesday 12-15, D1-065
Mon Oct 11: 1500-1645, B2-060 Lecture 9: Rational functions and asymptotes. Continuity. Composite functions. [EMEA] 4.7, 7.9, 7.8, 5.2 Problem set 9
Wed Oct 13: 1000-1145, B2-060 Lecture 10: Inverse functions. Exponential functions and logarithms. [EMEA] 5.3, 4.9 - 4.10 Problem set 10: Wednesday 12-15, D1-065
October 15 - October 22 Course paper EBA29101 - Solution Course paper: Wednesday 12-15, D1-065
Wed Oct 27: 1000-1145, B2-060 Lecture 11: Tangents. Differentiation and rules for differentiation. [EMEA] 6.1 - 6.2, 6.6 - 6.8 Problem set 11: Wednesday 12-15, D1-065
Mon Nov 01: 1500-1645, B2-060 Lecture 12: Some problems from the Term Paper. Problem set 12
Wed Nov 03: 1000-1145, B2-060 Lecture 13: Rules for differentiation. Optimization in one variable. [EMEA] 6.3, 6.10 - 6.11, 9.1 - 9.2, 9.4, 9.6 Problem set 13: Wednesday 12-15, D1-065
Wed Nov 10: 1000-1145, B2-060 Lecture 14: Implicit differentiation. Second order derivatives. Convex and concave functions. [EMEA] 7.1, 6.9, 9.6, 8.5 - 8.6 Problem set 14: Wednesday 12-15, D1-065
Wed Nov 17: 1000-1145, B2-060 Lecture 15: l'Hôspital's rule. Marginal cost and revenue. [EMEA] 7.12, 6.4, 9.3, 9.5 Problem set 15: Wednesday 12-15, D1-065
Wed Nov 24: 1000-1145, B2-060 Lecture 16: Elasticity. Linearisation. Taylor polynomials. [EMEA] 7.7, 7.4 - 7.5 Problem set 16: Wednesday 12-15, D1-065

Fri Dec 10: 0900-1200 Midterm exam - Solutions
Mon Dec 20: 0900-1400 Final exam - Solutions (retake)