Autumn semester 
Lecturer Runar Ile (Office B4023); Office hours Tuesday 1012 
Reading 
Problems 
Wed Aug 21: 11001345, D3191 
Lecture 1: Basic algebra. 
[EMEA] 2.1  2.6, 2.8 
Problem set 1: Wednesday 1416, B2085 
Fri Aug 23: 08001045, B2060 
Lecture 2: Rates of change. Powers and roots. Interest. 
[EMEA] 2.2, 10.1, 10.3 
Problem set 2 
Wed Aug 28: 11001345, D3191 
Lecture 3: Present value. Finite geometric series. Annuities and annuity mortages. 
[EMEA] 10.4.1  10.4.3, 10.5.1  10.5.4 
Problem set 3: Wednesday 1416, B2085 
Wed Sep 04: 11001345, D3191 
Lecture 4: Infinite geometric series and limits. Euler's number and continuous compounding. 
[EMEA] 10.4.4  10.4.10, 4.9.2 
Problem set 4: Wednesday 1416, B2085 
Wed Sep 11: 08001045, D3191 
Lecture 5: Linear and quadratic equations. Equations with parameters. Polynomial equations. 
[EMEA] 3.1  3.3, 4.7 
Problem set 5: Wednesday 1416, B2085 
Wed Sep 18: 11001345, D3191 
Lecture 6: Polynomial division. Factorization. Rational and radical equations. Inequalities. 
[EMEA] 4.7, 3.4  3.5, 2.6 
Problem set 6: Wednesday 1416, B2085 
Wed Sep 25: 11001345, D3191 
Lecture 7: Functions and graphs. Linear and quadratic functions. Cost and revenue functions. 
[EMEA] 4.1  4.6 
Problem set 7: Wednesday 1416, B2085 
Wed Oct 02: 11001345, D3191 
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 1416, B2085 
Fri Oct 04: 08001045, B1030 
Lecture 9: Rational functions and asymptotes. Continuity. Composite functions. 
[EMEA] 4.7, 7.9, 7.8, 5.2 
Problem set 9: Wednesday 1416, B2085 
October 03  October 11 
Course paper EBA29101  Solutions 


Wed Oct 16: 11001345, D3191 
Lecture 10: Inverse functions. Exponential functions and logarithms. 
[EMEA] 5.3, 4.9  4.10 
Problem set 10: Wednesday 1416, B2085 
Wed Oct 23: 11001345, D3191 
Lecture 11: Tangents. Differentiation and rules for differentiation. 
[EMEA] 6.1  6.4, 6.6  6.8 
Problem set 11: Wednesday 1416, B2085 
Wed Oct 30: 11001345, D3191 
Lecture 12: Rules for differentiation. Optimization in one variable. 
[EMEA] 6.10  6.11, 8.1  8.2, 8.4, 8.6 
Problem set 12: Wednesday 1416, B2085 
Wed Nov 06: 10001245, D3191 
Lecture 13: Implicit differentiation. Second order derivatives. Convex and concave functions. 
[EMEA] 7.1, 6.9, 8.6  8.7 
Problem set 13: Wednesday 1416, C2065 
Wed Nov 13: 11001345, D3191 
Lecture 14: l'Hôspital's rule. Marginal cost and revenue. Elasticity. 
[EMEA] 7.12, 8.3, 8.5, 7.7 
Problem set 14: Wednesday 1416, B2085 
Fri Nov 15: 08001045, D3191 
Lecture 15: Linearisation. Taylor polynomials. 
[EMEA] 7.4  7.5 
Problem set 15 
Wed Nov 20: 11001345, D3191 
Lecture 16: Review of important topics. Exam problems. 

Problem set 16 

Wed Dec 11: 09001200 
Multiple choice exam 11/12/2019 
Solutions 
Results 



Spring semester 
Lecturer Eivind Eriksen (Office B4032); Office hours Thu 0911 
Reading 
Problems 
Mon Jan 06: 14001745, B2060 
Lecture 17: Indefinite integral and integration rules. Substitution. 
[EMEA] 9.1, 9.6 
Problem Set 17 
Wed Jan 08: 11001345, B2030 
Lecture 18: Substitution. Integration by parts. Partial fractions. 
[EMEA] 9.5, 9.6 
Problem Set 18: Monday 1416, B2050 
Wed Jan 15: 11001345, B2030 
Lecture 19: Definite integrals and computation of area. Improper integrals. 
[EMEA] 9.2, 9.3, 9.7 
Problem Set 19: Monday 1416, B2050 
Wed Jan 22: 11001345, B2030 
Lecture 20: Economic applications. Summary of integration. 
[EMEA] 9.4 
Problem Set 20: Monday 1416, B2050 
Wed Jan 29: 11001345, B2030 
Lecture 21: Linear systems of equations. Gaussian elimination. 
[EMEA] 11.2, 15.1, 15.6 
Problem Set 21: Monday 1416, B2050 
Wed Feb 05: 11001345, B2030 
Lecture 22: Matrices and Vectors. Determinants. 
[EMEA] 15.1  15.5, 16.1  16.5 
Problem Set 22: Monday 1416, B2050 
Wed Feb 12: 11001345, B2045 
Lecture 23: Determinants and linear systems. Linear system with parameters. 
[EMEA] 15.7  15.9 
Problem Set 23: Monday 1416, B2050 
Wed Feb 19: 11001345, B2030 
Lecture 24: Inverse matrices. 
[EMEA] 16.6  16.9 
Problem Set 24: Monday 1416, B2050 
Wed Feb 26: 11001345, B2030 
Lecture 25: Matrix algebra. Exam problems. 

Problem Set 25: Monday 1416, B2050 
Mar 04  Mar 11 
Course paper EBA29101  Solutions (retake exam) 


Wed Mar 04: 11001345, B2030 
Lecture 26: Functions in several variables. Partial derivatives. 
[EMEA] 11.1  11.4 
Problem Set 26: Monday 1416, B2050 
Wed Mar 11: 11001345, B2030 
Lecture 27: Gradients. Level curves. The Hessian matrix. 
[EMEA] 11.6  11.7, 12.3 
Problem Set 27  Solutions 

 Update regarding COVID19/corona (updated 21/04/2020) 
Mar 13  Mar 20 
Course paper EBA29103  Solutions 


Wed Mar 25: 11001345 
Lecture 28: Stationary points. Second derivative test. Local and global max/min. 
[EMEA] 12.8, 13.1  13.4 
Problem Set 28  Solutions 
Wed Apr 01: 11001345 
Lecture 29: Constrained optimization. Extreme value theorem. 
[EMEA] 13.5  13.6 
Problem Set 29  Solutions 
Wed Apr 15: 11001345 
Lecture 30: Constrained optimization. Lagrange's method. 
[EMEA] 14.1  14.4 
Problem Set 30  Solutions 
Wed Apr 22: 11001345 
Lecture 31: Lagrange problems. Lagrange multipliers. 

Problem Set 31  Solutions 

Thu Jun 11: 12001500 
Lecture 32: Review. Exam problem MET11807 05/2019  Video 


Fri Jun 19: 09001600 
Final exam EBA09101  Solutions (digital home exam, pass/fail) 
All material in the course. Notes on exam preparation. 

