Homework assignments and solutions

Assignment Date assigned Due date Solutions
Homework 1 09/14 09/21 HW1
Homework 2 10/05 10/12 HW2

Tutorial problem solving

Problem numbers in the book Date Solutions
2.3, 2.6 , 2.10, 2.11, 2.16, 2.26, 2.29, 2.30 09/05 EX1
3.3, 3.4, 3.7, 3.10, 3.16, 3.17 09/12 EX2
4.9, 4.13, 4.15, 4.20, 4.22, 4.31, 5.22. 5.38, 6.10 09/19 EX3
7.3, 7.8, 7.14 09/26 EX4
8.5, 8.7, 8.11, 8.14, 8.22, 8.23, 8.27 10/03 EX5
10.8, 10.12, 10.14, 10.19, 11.10 11.11, 11.14, 11.26 10/10 EX6
9.9, 9.11, supplementary exercises 10/17 EX7

Problem solving is the science of converting a problem statement into a form that is easy to understand and solve. Problem solving is a skill needed in many fields of mathematics, science and engineering.

Lectures

Lecture topic Lecture day Pages in the book
L1: Basic probability: review 09/05 7-46
L2: Distributions. Expectations. 09/07 47-99
L3: Transformations.
Pairs of random variables.
09/12 100-182
L4: Multiple random variables 09/14 182-237
L5: Convergence. Limit
theorems. Estimation.
09/19 237-276
L6: Basic random processes. 09/21 277-300
L7: Special random processes 1 09/26 301-312
L8: Special random processes 2 09/28 301-312
L9: Power spectral
density 1
10/03 370-389
L10: Power spectral
density 2
10/05 390-403
L11: Linear systems 1 10/10 413-426
L12: Linear systems 2 10/12 427-445
L13: Markov processes 10/17 323-359
L14: Revision and discussions 10/19