Mathematics 55F750, summer 2023/24

Mathematics for Economists I

Date Contents Problems
14.2. Lecture: Linear and quadratic function and its graph. Quadratic equation and inequality.
Seminar: Quadratic function and its graph, quadratic equation, linear fractional function.
Problems1
Problems2
21.2. Lecture: Power function, exponential, logarithm.
Seminar: Power function, exponential, logarithm.
Problems3
28.2. Lecture: Sequence and its limit.
Seminar: Limit of the sequence -- practical computation.
Problems4

6.3. Lecture: Limits of a function.
Seminar: Limits of a function -- practical computation.
Problems5

13.3. Lecture: Derivative of a function
Seminar: Derivative of a function -- practical computation.
Problems6

20.3. Lecture: Tangent to the graph. L'Hospital's rule.
Seminar: Computing tangents, using the l'Hospital's rule.
Problems7
Problems8
27.3. Lecture: Derivative and monotony, extremes of a function.
Seminar: Convexity, concavity.
Problems9
3.4. Lecture: Asymptotes, convexity, concavity.
Seminar: The course of a function. Partial derivatives.
Problems10
10.4. Week of innovations -- no classes

17.4. Lecture: Midterm test.
Seminar: Optimisation problems
Problems11

24.4. Lecture: Constrained extremes, Lagrange multipliers.
Seminar: Lagrange multipliers.
Problems12

1.5. National holiday -- no classes

8.5. National holiday -- no classes

 

Midterm test

Samples:
Sample midterm test
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

 

Mini-tests on seminars

Date Week number Minitest contents
21.2. 2 Graph of a quadratic function (intercepts with axes, vertex)
28.2. 3 Equations with exponentials and logarithms
6.3. 4 Limit of a sequence
13.3. 5 Limits of a function
20.3. 6 Derivative of a function
27.3. 7 Tangent to the graph
3.4. 8 Intervals of monotony
10.4. 9 Week of innovations - no classes.
17.4. 10 Midterm test - no minitest
24.4. 11 Stationary points for functions of two variables