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Week of Tue 8/21
Lec-1: Discrete random variables
GS :: read pages 1-9, 18-20
SO :: read 1.2
SO :: read 2.1-2.5 if you havenot passed Math 323
Lec-2: Discrete random variables
- GS :: read pages 21-29
- Exercises :: SO 2.5, 2.7, 2.11
- Exercises :: GS sect 1.2 -- 1, 4, 5, 7, 8, 19
- Problems due Thu 8/30 :: GS sect 1.1 -- 2 (see e-mail)
- Problems due Thu 8/30 :: GS sect 1.2 -- 6, 10, 22
- Problems due Thu 8/30 :: GS sect 1.2 -- Extra credit: 28
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Week of Tue 8/28
Lec-3: Discrete random variables
- GS :: read pages 41-43
- Problems due Thu 8/30 :: GS sect 1.2 -- 26
Lec-4: Continuous random variables
- GS :: read page 55-68
- Exercises due Thu 9/6 :: GS sect 2.2 -- 1, 4, 5
- Problems due Thu 9/6 :: GS sect 1.2 -- 14, 16
- Problems due Thu 9/6 :: GS sect 2.2 -- 2, 6, 8, 12
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Week of Tue 9/4
Lec-5: Continuous random variables
- GS :: read pages 55-68
Lec-6: Combinatorics
- GS :: read pages 75-81, 83-84 (on Records)
- Exercises due Thu 9/13 :: SO 2.46, 2.47, 2.48
- Exercises due Thu 9/13 :: SO 5.69, 5.71 NEW
- Exercises due Thu 9/13 :: GS sect 3.1 -- 8
- Problems due Thu 9/13 :: GS sect 2.2 -- 14
- Problems due Thu 9/13 :: GS sect 3.1 -- 4, 10, 14, 16
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Week of Tue 9/11
Lec-7: Combinatorics
- Exercises due Thu 9/13 :: GS sect 3.2 -- 1, 2, 3
- Problems due Thu 9/13 :: GS sect 3.2 -- 6, 12(a,b)
- GS :: read pages 92-98
Lec-8: Review / Q&A
- SO :: read sections 2.10 - 2.14
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Week of Tue 9/18
Lec-9: Midterm 1
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Week of Tue 9/25
Lec-10: Combinatorics
- Exercises due Thu 9/27 :: SO 2.108, 2.113, 2.118
- Problems due Thu 9/27 :: GS sect 3.2 -- 10, 20, 22, 26, 32
- GS :: read pages 99-106
Lec-11: Discrete conditional probability
- GS :: read pages 133 -- 141 (you can skip Example 4.5 for now)
- SO :: read 4.1, 4.2
- Exercises due Thu 10/4 :: SO 4.1-7
- Exercises due Thu 10/4 :: GS sect 4.1 -- 1
- Problems due Thu 10/4 :: GS sect 4.1 -- 4, 14, 16
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Week of Tue 10/2
Lec-12: Independence
- GS :: read pages 139 -- 142
- Problems due Thu 10/4 :: GS sect 4.1 -- 8
Lec-13: Independent random variables; Bayes's formula
- GS :: read pages 135-6 (Ex 4.5); 143 -- 147
- Exercises due Thu 10/11 Tue 10/16 Thu 10/18 :: SO 5.60(a), 5.61(a)
- Exercises due Thu 10/11 Tue 10/16 Thu 10/18 :: GS sect 4.1 -- 39
- Problems due Thu 10/11 Tue 10/16 Thu 10/18 :: GS sect 4.1 -- 22, 24, 38
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Week of Tue 10/9
Lec-14: General form of Bayes's formula + continuous random variables
GS :: read pages 145--147, 162--164
Exercises due Tue 10/16 due Thu 10/18 :: SO 4.46, 4.47, 4.48
Lec-15: Continuous conditional probability
- GS :: read pages 165--168 (skip "beta density")
- Exercises due Tue 10/16 due Thu 10/18 :: GS sect 4.2 -- 5, 7
- Problems due Tue 10/16 due Thu 10/18 :: GS sect 4.2 -- 6, 8
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Week of Tue 10/16
Lec-16: Marginal and conditional densities
- GS :: read pages 165--168 (skip "beta density")
- Exercises and Problems due Thu 10/18 :: download this
Lec-17: Special discrete distributions
Problems due Tue 10/30 :: GS sect 5.1 -- 6, 8, 16, 18
GS :: read pages 183--195
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Week of Tue 10/23
Lec-18: Midterm 2
Lec-19: Special continuous densities
GS :: read pages 205--215 (skipping simulation details)
Exercise due Tue 10/30 Tue 11/6 :: GS sect 5.2 -- 5
Problem due Tue 10/30 Tue 11/6 :: GS sect 5.2 -- 2
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Week of Tue 10/30
Lec-20: Special densities continued
GS :: read pages 205--215 (skipping simulation details)
Exercise due Tue 11/6 :: GS sect 5.2 -- 17, 25 (using the table in the book)
Problem due Tue 11/6 :: GS sect 5.2 -- 12, 20, 36
Lec-21: Misc
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Week of Tue 11/6
Lec-22: Expected value of discrete random variables
GS :: read pages 225--234
Exercises due Thu 11/15 Fri 11/16 Tue 11/20 :: SO 5.37, 5.41, 5.44, 5.46
Problems due Thu 11/15 Fri 11/16 Tue 11/20 :: GS sect 6.1 -- 6, 8, 20(a,b)
Lec-23: Conditional expectation and variance
GS :: read pages 239--240, 257--263
Exercises due Thu 11/15 Fri 11/16 Tue 11/20 :: GS sect 6.2 -- 1, 5
Problems due Thu 11/15 Fri 11/16 Tue 11/20 :: GS sect 6.2 -- 2, 8
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Week of Tue 11/13
Lec-24: Expected value of continuous random variables
GS :: read pages 268--275
Problems due Tue 11/20 :: GS sect 6.3 -- 2(a,b), 6(a,c)
Lec-25: Sums of independent random variables
Problems due Tue 11/27 :: GS sect 7.1 -- 2
Problems due Tue 11/27 :: GS sect 7.2 -- 2(c), 6
GS :: read pages 285--287, 291--295
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Week of Tue 11/20
Lec-26: Law of large numbers
Problems due Tue 11/27 :: GS sect 7.2 -- 8
GS :: read pages 305--308 for a proof (I won't cover it in class)
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Week of Tue 11/27
Lec-27: Central limit theorem
GS :: read pages 325--332 (but don't worry about Thm 9.1)
GS :: read pages 340-344
SO :: read section 6.5
Exercises due Wed 12/5 :: GS sect 9.1 -- 1
Exercises due Wed 12/5 :: GS sect 9.2 -- 1
Problems due Wed 12/5 (no extensions!) :: GS sect 9.1 -- 2
Problems due Wed 12/5 (no extensions!) :: GS sect 9.2 -- 6(a,b)
Lec-28: Central limit theorem
- GS :: sections 9.2, 9.3
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Week of Tue 12/4
Lec-29: More examples of CLT
- GS :: sections 10.1
- GS :: sections 10.2
Lec-extra: Review 12/6 at 2pm in Math 402
Final Wed 12/12 at 3:30pm in Psych 306