METU-NCC Math

    Math 101 Mathematics for Social Sciences (Spring 2022)

This page is for archival purposes only!
Students should use ODTU-Class

There will be 40 lectures given by the instructors, each lasting 1 class hour. The table below is a rough guideline for the content of course lectures. Professors may reorder content as necessary/desired.

Week 1:
Mar.7-11
1   Introduction to Course
2
Chapter 0. Review of Algebra
§0.4: Operations with Algebraic Expressions.
3 §0.3: Exponents and Radicals.
§0.7: Equations, in Particular Linear Equations.
Week 2:
Mar.14-18
4 §0.5: Factoring.
§0.8: Quadratic Equations.
5
Chapter 2. Functions and Graphs
§2.1: Functions.
§2.2: Special Functions.
§2.3: Combinations of Functions.
6 §2.4: Inverse Functions.
§2.5: Graphs in Rectangular Coordinates.
Week 3:
Mar.21-25
7
Chapter 3. Lines, Parabolas, and Systems
§3.1: Lines.
§3.2: Applications and Linear Functions.
8 §3.3: Quadratic Functions.
§3.4: Systems of Linear Equations.
§3.5: Nonlinear Systems.
9
Chapter 4. Exponential and Logarithmic Functions
§4.1: Exponential Functions.
§4.2: Logarithmic Functions.
Week 4:
Mar.28-
Apr.1
10 §4.3: Properties of Logarithms.
§4.4: Logarithmic and Exponential Equations.
11
Chapter 5. Mathematics of Finance
§5.1: Compound Interest.
§5.2: Present Value.
12 §5.3: Interest Compounded Continuously.
Week 5:
Apr.4-8
13 §5.4: Annuities.
14
Chapter 8. Introduction to Probability and Statistics
§8.1: Basic Counting Principle and Permutations.
§8.2: Combinations and Other Counting Principles.
15 §8.3: Sample Spaces and Events.
§8.4: Probability.
Week 6:
Apr.11-15
16 §8.5: Conditional Probability and Stochastic Processes.
§8.6: Independent Events.
17 §8.7: Bayes's Formula.
18 Chapter 8: Review
Week 7:
Apr.18-22
19
Chapter 9. Additional Topics in Probability
§9.1: Discrete Random Variables and Expected Value
    (skip variance).
20 §9.2: The Binomial Distribution.
21   Study Day
Week 8:
Apr.25-29
22
Chapter 11.Differentiation
§11.1: The Derivative.
§11.2: Rules for Differentiation.
23 §11.4: The Product Rule and the Quotient Rule.
§11.3: The Derivative as a Rate of Change.
24 §11.5: The Chain Rule.
HOLIDAY: Mon-Wed, 2-4 April
Week 9:
May 9-13
25
Chapter 12. Additional Differentiation Topics
§12.1: Derivatives of Logarithmic Functions.
§12.2: Derivatives of Exponential Functions.
26 §12.3: Elasticity of Demand.
27 §12.4: Implicit Differentiation.
Week 10:
May 16-20
28 Chapter 12: Review
29
Chapter 13. Curve Sketching
§13.1: Relative Extrema.
§13.2: Absolute Extrema on a Closed Interval.
30 §13.3: Concavity.
§13.6: Applied Maxima and Minima.
Holiday: Thursday, 19 May
Week 11:
May 23-27
31
Chapter 14. Integration
§14.1: Differentials.
§14.2: The Indefinite Integral.
32 §14.3: Integration with Initial Conditions.
§14.4: More Integration Formulas.
33 §14.5: Techniques of Integration.
Week 12:
May 30-
June 3
34 §14.7: The Fundamental Theorem of Calculus.
35 §14.9: Area Between Curves.
§14.10: Consumers' and Producers' Surplus.
36
Chapter 15. Methods and Applications of Integration
§15.1: Integration by Parts.
Week 13:
June 6-10
37 §15.3: Integration by Tables.
38 §15.5: Differential Equations.
39 §15.6: More Applications of Differential Equations.
Week 14:
June 13-17
40
Chapter 16. Continuous Random Variables
§16.1: Continuous Random Variables.
41 §16.2: The Normal Distribution.
42 §16.3: The Normal Approximation to the Binomial Distribution.
FINAL EXAMS: 20 June -- 2 July