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451spring25

MATH 451/551 Spring 2025

MATH 451 Spring 2025

course materials

lecture notes and videos

No. date topics reading book problems (BPs) suggested problems (SPs) notes quiz problem (QP)
1 R 1-23 basic set notation Leemis 1.3 (pp28-34) ch1: 63, 64, 69, 70, 73 1.1-1.5 sec2 QP 1 due Jan 30
2 T 1-28 axiomatic probability Leemis 2.1, 2.2 (pp41-49) sec1, sec2
3 R 1-30 basic theorems Leemis 2.2 (pp46-54) ch2: 2-7, 9-11, 13 2.1-2.10 sec1, sec2 QP 2 due Feb 6
4 T 2-4 counting Leemis 1.2 (pp12-28) sec1, sec2
5 R 2-6 conditional probability Leemis 2.4, 2.5(pp63-74) ch2: 30, 34, 36, 38, 48, 50, 52, 56, 64, 77 3.1-3.10 sec1, sec2 QP 3 due Feb 13
6 T 2-11 independence Leemis 2.6 (pp74-81) ch2: 73, 75, 76, 80, 94, 102, 134, 142, 146 4.1-4.10 sec1, sec2
7 R 2-13 random variables and CDFs sec1, sec2 QP 4 due Feb 20
8 T 2-18 PMFs Leemis 3.1-3.3 (pp98-137) ch3: 4, 7, 8, 9, 14, 15, 24, 34, 35, 36 5.1-5.15 sec1, sec2
R 2-20 snow day QP 5 due Feb 27
. T 2-25 midterm 1 (lectures 1-6)          
9 R 2-27 PDFs/expectation Leemis 3.4 (pp137-152) ch3: 18, 19, 25, 28, 48, 78a,b, 133a 6.1-6.15 sec1, sec2 QP 6 due Mar 6
10 makeup expectation/variance       notes
11 R 3-4 mgfs Leemis 3.4 (pp152-164) ch3: 57, 61, 65, 73, 74, 75, 78c, 87, 117, 54, 67, 71, 81, 104, 134, 135 7.1-7.10 sec1, sec2  
12 R 3-6 common distributions Leemis 4.1-4.2 (pp191-204), 4.7(pp234-236), 5.1-5.2(pp249-265), 5.4(pp270-279)     sec1, sec2 QP7 due Mar 20
. T 3-11 spring break          
. R 3-13 spring break          
13 T 3-18 more common distributions 4.3(pp204-210), 4.5(pp217-230), 5.3(pp266-270) ch4: 28, 39, 48, 54, ch5: 1, 5, 7, 21, 43, 69 8.1-8.10 sec1, sec2
14 R 3-20 transformations 7.1(pp439-448), 7.2(pp455-457)     sec1, sec2 QP8 due Mar 27
15 T 3-25 more transformations and bivariate rvs 7.2(pp458-465) 6.1(pp303-305) ch7: 2, 9, 13, 21, 40, 55, 57, 58, 60, 63 9.1-9.10 sec1, sec2
16 R 3-27 bivariate rvs 6.1(pp303-323)     sec1, sec2 QP9 due Apr 3
. T 4-1 midterm 2 (lecture 7-14)          
17 R 4-3 more bivariate rvs Leemis 6.3(pp335-338) ch6: 4, 5, 22, 24, 32, 35, 74, 78, 82 10.1-10.10 sec1, sec2 QP10 due Apr 10
18 T 4-8 conditional expectation Leemis 6.1 (pp318-323), 6.2(pp323-335), 6.3(pp350-356)     sec1, sec2
19 R 4-10 independence Leemis 6(pp303-356) ch6: 17a, 20, 36, 37, 47, 48, 50, 54, 60, 70, 88, 95 11.1-11.10 sec1, sec2 QP11 due Apr 17
20 T 4-15 iterated expectation Leemis 3.4(pp357-360),6.4(pp366-378)     sec1, sec2
21 R 4-17 bivariate transformations Leemis 7.2 (pp466-479)     sec1, sec2 QP12 due Apr 24
22 T 4-22 more bivariate transformations Leemis 6.5(pp379-401) ch7: 22, 23, 28(a), 38, 49 12.1-12.5 sec1, sec2
23 R 4-24 multivariate random variables Leemis 6.5(403-413) ch6: 148, 150, 152, 165, 168, 174, 175, 185, 195 13.1-13.5 sec1, sec2
24 T 4-29 review       rev1 rev2