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 |