Course Schedule
APMA 1650 - Spring 2021
Below is a course schedule. It contains an outline of course topics, reading assignments, homework, quiz and exam dates. By default, the assigned readings will be from the free online book by book by Pishro-Nik (see Syllabus). From time to time there will be links to supplementary notes or material.
Meeting Time: MWF 11am-11:50am EST on Zoom (accessible through Canvas)
Note: This schedule is approximate and will evolve as the course progresses. Lectures may be rearranged and split between days depending on course progress. The exams dates are tentative and will be finalized at least a couple weeks before the date.
| Week | Date | Material | Readings | Assignments |
|---|---|---|---|---|
| 1 | Basics of Probability | Ch 1 | ||
| W 1/20 | Introduction | §1.1 | ||
| F 1/22 | Introduction, Basic Set Theory | §1.2 | - Calculus Preparedness Assignment Due Saturday - Reading Quiz 1 Due |
|
| 2 | M 1/25 | Random Experiments, Axioms of Probability, Rules for Calculating Probabilities | §1.3, Notes | |
| W 1/27 | Conditional Probability, Independence, Bayes' Rule, Conditional Independence | §1.4, Notes | ||
| F 1/29 | -Homework 1 Due -Reading Quiz 2 Due |
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| 3 | Combinatorics | Ch 2 | ||
| M 2/1 | Counting Methods, Rule of Products, Ordered Sampling, Permutations, Unordered Sampling, Combinations, Partitions | §2.1, Notes | ||
| W 2/3 | ||||
| Discrete Random Variables | Ch 3 | |||
| F 2/5 | Random Variables, Probability Mass Function, Independent Random Variables | §3.1 | -Homework 2 Due -Reading Quiz 3 Due |
|
| 4 | M 2/8 | Bernoulli, Geometric, Binomial, Hypergeometric, Poisson distributions | ||
| W 2/10 | Cumulative Distribution, Expectation, Functions of Random Variables, Variance | §3.2 | ||
| F 2/12 | -Homework 3 Due -Reading Quiz 4 Due |
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| 5 | Continuous and Mixed Random Variables | Ch 4 | ||
| M 2/15 | Presidents day - No Class | |||
| W 2/17 | Continuous Random Variables, Probability Density Function, Expectation, Variance, Manipulating Continuous Random Variables | §4.1 | ||
| F 2/19 | - Homework 4 Due - Reading Quiz 5 Due |
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| 6 | M 2/22 | First Midterm Exam New Date - No Class | Ch 1 - 3 | |
| W 2/24 | Uniform, Exponential, Normal, Gamma, and Other Distributions | §4.2 | ||
| F 2/26 | - Reading Quiz 6 Due Saturday 2/27 | |||
| 7 | M 3/1 | Mixed Random Variables and the Delta Function | §4.3 | |
| Multivariate Distributions | Ch 5 | |||
| W 3/3 | Primer on Multivariable Calculus | Paul's online notes 1-4 in resources | ||
| F 3/5 | - Homework 5 Due Saturday 3/6 - Reading Quiz 7 Due Saturday 3/6 |
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| 8 | M 3/8 | Joint Probability, Joint CDF, Marginals, Conditioning and Independence | §5.1, §5.2, Notes | |
| W 3/10 | ||||
| F 3/12 | - Homework 6 Due - Reading Quiz 8 Due Sunday 3/14 |
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| 9 | Multiple Random Variables | Ch 6 | ||
| M 3/15 | Covariance and Correlation | §5.3.1 | ||
| W 3/17 | Joint Distributions, Sums of Random Variables | §6.1.1, §6.1.2 | ||
| F 3/19 | Probability Bounds, Markov, Chebyshev, and Cauchy Schwartz | §6.2.0, §6.2.2, §6.1.4 | - Homework 7 Due Saturday 3/20 - Reading Quiz 9 Due Sunday 3/21 |
|
| 10 | Limit Theorems | Ch 7 | ||
| M 3/22 | Law of Large Numbers, Central Limit Theorem | §7.1 | ||
| W 3/24 | Convergence of Random Variables | §7.2 | ||
| Statistical Inference: Classical Methods | Ch 8 | |||
| F 3/26 | Random Sampling, Point Estimators, Bias and Mean Square Error, Maximum Likelihood Estimation | §8.1, §8.2 | - Homework 8 Due - Reading Quiz 10 Due Sunday 3/28 |
|
| 11 | M 3/29 | |||
| W 3/31 | Second Midterm Exam New Date - No Class | Ch 4 - 6 | ||
| F 4/2 | Error Estimation and Confidence Intervals, Normal Samples, t-distribution, Non-normal Samples | §8.3 | Reading Quiz 11 Due Sunday 4/4 | |
| 12 | M 4/5 | |||
| W 4/7 | ||||
| F 4/9 | No Class | Reading Quiz 12 Due Sunday 4/11 | ||
| 13 | M 4/12 | Review | ||
| W 4/14 | ||||
| F 4/16 | - Homework 9 Due |
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| F 4/23 | Final Exam - Details TBA | Cumulative with emphasis on Ch 7,8 | ||
- 2021