Autumn semester 2017
4 contact lessons per week (56 contact lessons within 14 weeks)
Monday, 8:15-9:50, H 1.16
Tuesday, 10:15-11:50, H 1.16
Week |
Contents | ||
38 |
18.9.2017 |
1 |
Basics Sets: set, element, empty set, subset, intersection, union, complement Numbers: number sets N, Z, Q, R, intervals, absolute value |
39 |
25.9.2017 |
2 |
Functions and equations Function: domain, codomain, range, arrow diagram, table of values, formula, graph Linear function and equations: linear function, simple interest, cost, revenue, profit, break-even |
40 |
2.10.2017 |
3 |
Functions and equations Linear function and equations: linear equations, equivalence operations, relation between a linear function and a linear equation, linear systems of equations |
41 |
9.10.2017 |
4 |
Functions and equations Quadratic function and equations: quadratic function, general form, vertex form, completing the square, supply, demand |
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43 |
23.10.2017 |
5 |
Functions and equations Quadratic function and equations: quadratic equations, relation between a quadratic function and a quadratic equation, market equilibrium |
44 |
30.10.2017 |
6 |
Functions and equations Exponential function and equations: exponential function, compound interest |
45 |
6.11.2017 |
7 |
Functions and equations Exponential function and equations: exponential equations, logarithm, compound interest |
46 |
13.11.2017 |
8 |
Functions and equations Exponential function and equations: compound interest, annuity |
47 |
20.11.2017 |
9 |
Differential calculus Derivative: rate of change, derivative, derivative of constant/power/exponential functions, cost/revenue/profit - marginal cost/revenue/profit |
48 |
27.11.2017 |
10 |
Differential calculus Differentiation rules: coefficient/sum/product rule, higher-order derivatives |
49 |
4.12.2017 |
11 |
Differential calculus Applications: increasing/decreasing, concavity, relative/absolute maxima/minima, points of inflection, marginal/average cost/revenue/profit, point of diminishing returns |
50 |
11.12.2017 |
12 |
Integral calculus Indefinite integral: antiderivative, indefinite integral of constant/power/exponential functions, coefficient/sum rule, marginal cost/revenue/profit - total cost/revenue/profit |
51 |
18.12.2017 |
13 |
Integral calculus Definite integral: area under a curve, fundamental theorem of calculus, consumer's/producer's surplus |
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2 |
8.1.2018 |
14 |
Review |
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Exam: We 24.1.2018 |