Mathematics 55F750, winter 2025/26

Mathematics for Economists I

Date Contents Problems
17.9. Lecture: Introduction, practical matters. Linear function, quadratic function.
Seminar: Introductory test.
Introductory test
Solutions
24.9. Lecture: Cubic function, rational fractional function, and their inequalities.
Seminar: Linear fractional function -- hyperbola.
Problems1

Problems2
1.10. Lecture: Power and power root function. Exponential, logarithm.
Seminar: Equations with exponentials and logarithms.
Problems3
8.10. Lecture: Sequence and its limit.
Seminar: Computing limit of a sequence.
Problems4
15.10. Lecture: Limits of a function
Seminar: Computing limits of a function
Problems5
22.10. Lecture: Derivatives
Seminar: Limits, derivatives
Problems6
29.10. Lecture: Tangents, L'Hospital rule
Seminar: Tangents, L'Hospital rule
Problems7
Problems8
5.11. Lecture: Innovation week -- no classes
Seminar: Innovation week -- no classes
--
12.11. Lecture: Monotony, extremes
Seminar: Monotony, extremes
Problems9
19.11. Lecture: Convexity-concavity, asymptotes
Seminar: Convexity-concavity, asymptotes
--
26.11. Lecture: Solving problems from Sample tests
Seminar: Midterm test
--
3.12. Lecture: Partial derivatives, stationary points, optimization problems
Seminar: Partial derivatives, stationary points, optimization problems - substitution method
Problems10
10.12. Lecture: Lagrange multipliers
Seminar: Lagrange multipliers
Problems11

 

Midterm test

Samples:
Sample midterm test with solutions
Midterm test Winter 2023, A+B
Midterm test Winter 2023, C

 

Final test

Samples:
Sample final test with solutions
Final test Winter 2023, A
Final test Winter 2023, B
Final test Winter 2023, C
Final test Winter 2023, D
Final test Winter 2023, E
Final test Winter 2024, A
Final test Winter 2024, B
Final test Winter 2024, C

 

Mini-tests on seminars

Date Week number Minitest contents
24.9. 2 Graph of a quadratic function (intercepts with axes, vertex)
1.10. 3 Graph of a linear fractional function (center, asymptotes, intercepts with axes)
8.10. 4 Equations with exponentials and logarithms
15.10. 5 Limit of a sequence I
22.10. 6 Limits of a sequence II
29.10. 7 Derivative of a function
5.11. 8 Innovation week -- no minitest
12.11. 9 Tangent to the graph
19.11. 10 Monotony
26.11. 11 No minitest, just the Midterm test
3.12. 12 Convexity, concavity
10.12. 13 Stationary points for two variables