Discrete Lecture Notes

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DMTA - Discrete Mathematics Through Applications

US - Understandable Statistics

Chapter 1 (DMTA)

1.1 An election activity (P)

1.2 Group-ranking methods and algorithms (P)

1.3 More group-ranking methods and paradoxes (P)

1.4 Arrow's conditions and approval voting (P )

1.5 Weighted voting and voting power (P)

Chapter 2 (DMTA)

2.1 A fair division activity (P)

2.2 Estate division (P)

2.3 Apportionment algorithms (P)

2.4 More apportionment algorithms and paradoxes (P)

2.5 Fair division algorithms: The continuous case

2.6 Mathematical induction

All Powerpoints below are for Understandable Statistics

Chapter 1

1.1 What is statistics?

1.2 Random Samples

1.3 Experimental Design

Chapter 2

2.1 Bar, circle, time-series graphs

2.2 Frequency distributions and histograms

2.3 Stem and leaf displays

Chapter 3

3.1 Measures of central tendency

3.2 Measures of variation

3.3 Mean and standard deviation of grouped data

3.4 Percentiles, box-whisker plots

Chapter 4

4.1 What is probability?

4.2 Some probability rules

4.3 Counting techniques

Chapter 5

5.1 Random variables and probability distributions

5.2 Binomial probabilities

5.3 More on binomial distributions

5.4 Geometric and Poisson Distributions

Chapter 6

6.1 Graphs of normal probability distributions

6.2 Standard units and the standard normal distribution

6.3 Area under any normal curve

6.4 Approximate a binomial distribution with a normal distribution

Chapter 7

7.1 Sampling distributions

7.2 Central limit theorem

7.3 Sampling distributions for proportions