Mathematics 55F750, winter 2024/25

Mathematics for Economists I

Date Contents Problems
18.9. Lecture: Introduction, practical matters. Linear function and its graph.
Seminar: Introductory test.
Introductory test
Solutions
25.9. Lecture: Quadratic function and its graph. Cubic, rational fractional functions.
Seminar: Equations with quadratic and linear fractional functions.
Problems1
2.10. Lecture: Powers and power roots, exponentials.
Seminar: Graph of linear fractional function.
Problems2
9.10. Lecture: Logarithms. Sequence and its limit.
Seminar: Equations with exp and log.
Problems3
16.10. Lecture: Limit of a sequence - computation rules.
Seminar: Limit of a sequence.
Problems4
23.10. Lecture: Continuity, limits of a function.
Seminar: Limits of a function.
Problems5
30.10. Lecture: Derivative of a function.
Seminar: Derivatives
Problems6
6.11. Innovation week - no classes
13.11. Lecture: Tangent to the graph, l'Hospital rule, monotony
Seminar:Tangent to the graph, l'Hospital rule
Problems7
Problems8
20.11. Lecture: Monotony, graph of a function
Seminar: Midterm test
Sample midterm test with solutions
27.11. Lecture: Convexity, concavity, asymptotes
Seminar: Graph of a function
Problems9
4.12. Lecture: Partial derivatives, stationary points, optimization problems
Seminar: Graph of a function
Problems10
11.12. Lecture: Lagrange multipliers method
Seminar: Optimization problems
Problems11

 

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

 

Mini-tests on seminars

Date Week number Minitest contents
25.9. 2 Graph of a quadratic function (intercepts with axes, vertex)
2.10. 3 Inequality with rational function
9.10. 4 Graph of a linear fractional function (center, asymptotes, intercepts with axes)
16.10. 5 Equations with exponentials and logarithms
23.10. 6 Limit of a sequence
30.10. 7 Limits of a function
6.11. 8 Innovation week -- no minitest
13.11. 9 Derivative of a function
20.11. 10 Midterm test -- no minitest
27.11. 11 Tangent to the graph
4.12. 12 Intervals of monotony
11.12. 13 Stationary points for functions of two variables