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Electrical and Computer Engineering Department

EE353 Syllabus Fall AY2019

Date Text
Section(s)
Topics Homework Assignment
(due next class meeting)
Week 1 (Week of 20 AUG)
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)
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)
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)
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)
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)
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)
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 S2 p.259: 8.37, 8.39, 8.41, 8.42
Week 9 (Week of 15 OCT)
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, σ2 known p.282: 9.2, 9.3, 9.4, 9.5, 9.6, 9.7, 9.8
Week 10 (Week of 22 OCT)
28-Mon 9.4 Confidence Interval for μ, σ2 unknown p.282: 9.10, 9.11, 9.12, 9.13
29-Wed ECE Applications of Probability & Statistics Homework: 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 Ch 3, 4, 5 Linear Independence, Dot Products, Systems of Linear Equations p. 20: 3.1, 3.2
p. 31: 4.1, 4.2(a),(d), 4.11
p. 38: 5.4, 5.5 (find solutions only, no geometrical description)
33-Fri Ch 6, 7 Matrices, Matrix-Vector Products p. 45: 6.3, 6.6, 6.12
p. 51: 7.2, 7.4
Week 12 (Week of 05 NOV )
34-Mon Ch 8 Null Space p. 56: 8.3, 8.6, 8.13.   In prob 8.13, just write the form of the solution.
35-Wed Ch 9 Column Space p. 63: 9.2, 9.3
36-Fri Ch 10, 11 Subspaces, Basis for a Subspace p. 68: 10.11, 10.12, 10.15, 10.19
p. 73: 11.1
Week 13 (Week of 12 NOV)
37-Mon Veterans Day—No Class 
38-Wed Ch 12, 13 Dimension, Linear Transformations  p. 77: 12.1, 12.3, 12.10
p. 86: 13.1, 13.4, 13.7(a)
39-Fri Ch 14 Examples of Linear Transformations p. 96. 14.13. For each of your answers to problem 14.13, find the projections of the vector x = [1, -1, -1]T onto the line spanned by vector b
Week 14 (Week of 19 NOV)
40-Mon Ch 15 Composition and Matrix Multiplication p. 102: 15.1(e),15.1(f), 15.1(i), 15.6(a). For problem 15.6(a), let the line make an angle of θ = -60° with the x-axis.
41-Wed Ch 16 Inverses p. 110: 16.1, 16.4, 16.5, 16.7, 16.9
42-Fri Thanksgiving Break—No Class
Week 15 (Week of 26 NOV)
43-Mon Ch 17, 18 Determinants, Transpose p. 122: 17.1, 17.2, 17.3, 17.7, 17.13(a).
In problem 17.13(a), let A be a 2x2 matix 
with elements a, b, c and d.
p. 128: 18.1, 18.4
44-Wed Ch 24 Eigenvectors For each of the following problems, find the eigenvalues for matrix A and an eigenvector for each eigenvalue.
p. 179: 23.5, 23.7, 23.9
45-Fri Review for Exam 3
Week 16 (Week of 03 DEC)
46-Mon Exam 3
47-Wed Last Day of Class: Review for Final Exam; Course Critiques
Week 17 (Week of 11 DEC)
16 Dec (Saturday) Final Exam 0755-1055
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