Electrical and Computer Engineering Department

# EE353 Syllabus Fall AY2018

 Date Text Section(s) Topics Homework Assignment (due next class meeting) Week 1 (Week of 21 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 28 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 04 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 11 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 18 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 25 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 02 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 09 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 16 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 23 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 30 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 06 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 Veterans Day—No Class Week 13 (Week of 13 NOV) 37-Mon Ch 10, 11 Subspaces, Basis for a Subspace p. 68: 10.11, 10.12, 10.15, 10.19 p. 73: 11.1 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 20 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 27 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 04 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