# EE353 Syllabus Fall AY2019

Date | Text Section(s) |
Topics | Homework Assignment (due next class meeting) |

Week 1 (Week of 20 AUG) |
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1-Mon | 2.1, 2.2 | Sample Spaces and Events | p.42: 2.1, 2.3, 2.4, 2.5, 2.12, 2.14, 2.17 (use the Venn diagram at the top of page 41 for problem 2.17) |

2-Wed | 2.2, 2.3 | Set Operations; Counting | p.42: 2.19, 2.20 p.51: 2.21, 2.22, 2.23, 2.28, 2.29, 2.30 |

3-Fri | 2.3 | Permutations & Combinations | p.51: 2.26, 2.31, 2.32, 2.33, 2.34, 2.35, 2.36, 2.37 |

Week 2 (Week of 27 AUG) |
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4-Mon | 2.4, 2.5 | Probability; Additive Rules | p.59: 2.50, 2.51, 2.52, 2.56, 2.58, 2.59, 2.61 |

5-Wed | 2.5, 2.6 | Additive Rules; Conditional Probability | p.59: 2.67, 2.72 p.69: 2.73, 2.74, 2.77, 2.81, 2.82 |

6-Fri | 2.6, 2.7 | Conditional Probability; Bayes Rule | p.69: 2.89, 2.93, 2.94 p.76: 2.95, 2.97, 2.101, 2.103, 2.120 |

Week 3 (Week of 03 SEP) |
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Mon | Labor Day—No Class | ||

7-Tues (Mon Sched) | 3.1, 3.2 | Random Variables; Discrete Prob. Distributions | p.91: 3.1, 3.2, 3.3, 3.5, 3.11, 3.35 |

8-Wed | 3.2, 3.3 | Discrete & Continuous Prob. Distributions | p.91: 3.6, 3.7, 3.8, 3.9, 3.12, 3.13, 3.15 |

9-Fri | 3.3 | Continuous Prob. Distributions | p.91: 3.14, 3.17, 3.19, 3.21, 3.27, 3.29, 3.30, 3.31 |

Week 4 (Week of 10 SEP) |
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10-Mon | 4.1 | Mean of a Random Variable | p.117: 4.1, 4.2, 4.5, 4.7, 4.12, 4.13 |

11-Wed | 4.1, 4.2 | Mean of a Function of a Random Variable; Variance | p.118: 4.17, 4.19, 4.20 p.127: 4.33, 4.34, 4.35, 4.37, 4.43** (problem 4.43 is a bonus problem...also, note that there is a table of integrals under the "Handouts" link) |

12-Fri | 4.3 | Mean & Variance of aX+b | p.137: 4.53, 4.55, 4.57, 4.58, 4.59 |

Week 5 (Week of 17 SEP) |
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13-Mon | Review for Exam 1 | ||

14-Wed | Exam 1 (Lessons 1-12) | ||

15-Fri | 5.1, 5.2 | Discrete Uniform & Binomial Distribution | p.150: 5.1, 5.3, 5.8, 5.9, 5.11, 5.12, 5.16, 5.17, 5.27 |

Week 6 (Week of 24 SEP) |
6-WEEK ACADEMIC RESERVE | ||

16-Mon | 5.5 | Poisson Distribution | p.164: 5.53, 5.56, 5.57, 5.58, 5.65, 5.67, 5.71 (for prob. 5.71, compare the answer you get using the equation for the Poisson distribution and the table in Appendix A.2) |

17-Wed | 6.1, 6.2, 6.3 | Uniform Distribution; Normal Distribution; Areas under the Normal Curve | p.185: 6.1, 6.2, 6.3, 6.4, 6.5, 6.7 |

18-Fri | 6.3, 6.4 | Areas under the Normal Curve; Applications of the Normal Distribution | p.185: 6.8, 6.9, 6.11, 6.13, 6.14, 6.18 |

Week 7 (Week of 01 OCT) |
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19-Mon | 6.5, 6.6 | Normal Approx. to the Binomial Distribution; the Exponential Distribution | p.193: 6.27, 6.34 p.206: 6.45, 6.46, 6.55, 6.81 |

20-Wed | 8.1, 8.2, 8.3 | Random Samples; Statistics; Sampling Distributions | p.230: 8.2, 8.3, 8.9, 8.14 |

21-Fri | 8.4 | Central Limit Theorem; Sampling Distribution of the Mean | p.241: 8.17, 8.18, 8.19, 8.21, 8.22, 8.24 |

Week 8 (Week of 08 OCT) |
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22-Mon | Columbus Day—No Class | ||

23-Wed | 8.4 | Sampling Distribution of the Difference Between Two Means | p.241: 8.26, 8.28, 8.29, 8.30, 8.32, 8.34 |

24-Fri | 6.7, 8.5 | Chi-Squared – Distribution; Sampling Distribution of S^{2} |
p.259: 8.37, 8.39, 8.41, 8.42 |

Week 9 (Week of 15 OCT) |
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25-Mon | 8.6 | The t-Distribution | p.259: 8.44, 8.45, 8.46, 8.48, 8.49, 8.50 |

26-Wed | 9.1-9.3 | Parameter Estimation; Confidence Intervals | |

27-Fri | 9.4 | Confidence Interval for μ, σ^{2} known |
p.282: 9.2, 9.3, 9.4, 9.5, 9.6, 9.7, 9.8 |

Week 10 (Week of 22 OCT) |
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28-Mon | 9.4 | Confidence Interval for μ, σ^{2} unknown |
p.282: 9.10, 9.11, 9.12, 9.13 |

29-Wed | ECE Applications of Probability & Statistics, MATLAB | Homework Due Wed 10/31: Goodrich Break Scandal | |

30-Fri | Review for Exam 2 | ||

Week 11 (Week of 29 OCT) |
12-WEEK ACADEMIC RESERVE | ||

31-Mon | Exam 2 (Lessons 15-29) | ||

32-Wed | 1.2-1.4, 2.2-2.5 | Vectors, Matrices, Matrix Algebra | Goodrich Break Scandal homework due today (Wed Oct 31)p. 22: 1.41c,d,e,f,g, 1.48, 1.50c p. 51: 2.39a, 2.45 |

33-Fri | 2.7-2.10 | Square Matrices, Special Matrices | p. 51: 2.50, 2.54, 2.59, 2.62 |

Week 12 (Week of 05 NOV ) |
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34-Mon | 3.2-3.3, 3.5-3.7 | Systems of Linear Equations | p. 107: 3.51a,c, 3.54 |

34-Wed |
3.8-3.123.2-3.3, 3.5-3.7 |
Homogeneous Systems, Elementary MatricesSystems of Linear Equations |
p. 108: 3.60b, 3.62, 3.67 (find A^{-1} and B^{-1} only)Note: book answer for 3.60b not entirely correct. p. 107: 3.51a,c, 3.54 |

35-Fri |
4.7-4.9 3.8-3.12 |
Linear Independence, Rank of a MatrixHomogeneous Systems, Elementary Matrices |
p. 158: 4.83a,b,c, 4.89, 4.104a,c Note: book answer for 3.60b not entirely correct. |

Week 13 (Week of 12 NOV) |
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36-Mon | Veterans Day—No Class | ||

37-Wed |
8.1-8.6 4.7-4.9 |
Determinants, Properties of DeterminantsLinear Independence, Rank of a Matrix |
p. 289: 8.38, 8.39, 8.40a d, 8.41ap. 158: 4.83a,b,c, 4.89, 4.104a,c |

38-Fri |
8.7-8.8, 8.10 8.1-8.6 |
Minors, Cofactors and Cramer's RuleDeterminants, Properties of Determinants |
p. 289: 8.43c, 8.52b,c, 8.53p. 289: 8.38, 8.39, 8.40a d, 8.41a |

Week 14 (Week of 19 NOV) |
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39-Mon |
9.1-9.38.7-8.8, 8.10 |
Eigenvalues/EigenvectorsMinors, Cofactors and Cramer's Rule |
p. 323: 9.38a, 9.39, 9.41p. 289: 8.43c, 8.52b,c, 8.53 |

40-Wed |
9.4-9.59.1-9.3 |
Eigenvalues/Eigenvectors |
p. 323: 9.46, 9.48a Bonus Questions: 9.45a,bp. 323: 9.38, 9.39, 9.41 |

41-Fri | Thanksgiving Break—No Class | ||

Week 15 (Week of 26 NOV) |
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42-Mon |
9.5-9.69.4-9.5 |
DiagonalizationEigenvalues/Eigenvectors/Diagonalization |
p. 323: 9.49, 9.56a, 9.57ap. 323: 9.45, 9.46 |

43-Wed |
9.5-9.6 |
ECE Applications of Linear Algebra, MATLABEigenvectors/Eigenvalues/Diagonalization |
p. 323: 9.48a, 9.49 |

44-Fri | Review for Exam 3 | ||

Week 16 (Week of 03 DEC) |
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45-Mon | Exam 3 | ||

46-Wed | Last Day of Class: Review for Final Exam; Course Critiques | ||

Week 17 (Week of 11 DEC) |
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17 Dec (Monday) |
Final Exam 1330-1630, 5th period in Ri024, 6th period in Ri023 |