The great majority of the homeworks
will be from George Roussas book, which is our mandatory book.
Typically homeworks will be assigned every Friday and due the next
Friday. Each time, both the date when the respective homework is
assigned and the date when the respective homework is due will be
specified.
All homeworks will be submitted at the beginning of the class on
the due date. Late homework will not be accepted under any
circumstances.
Each homework will be graded in the following way: A certain
number of exercises will be chosen and each will be assigned a
grade between 0 and 10. Then this grades will be averaged
and this average will represent your grade for the respective
homework, which of course will be also between 0 and 10.
At the end of the semester the two lowest homework scores will be
dropped and the rest will be averaged and arranged
proportionally on a scale from 0 to 200. So practically a person
who obtained the maximum of 10 points for each of the homeworks,
at the end of the semester will have 200 points resulting from the
homeworks.
Our grader will be Muhammad Irsyad Bin Mazlan and his email is
mmazlan@purdue.edu. Any ordinary issues concerning the homeworks
will be directly addressed to him. Do not hesitate to email him if
you need to discuss any topic related to the homeworks.
Homework 1 (Assigned Jan. 11, due Jan. 18):Section 2.2 (pag. 16):
2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 2.10, 2.11 (i), (ii)
and (iii), 2.12, 2.15 only for two sets A and B. Section 2.3 (pag.
22): 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8. Homework
scan
Hw.2 (Ass. Jan 18, due Jan. 25): Sect. 2.4: All exercises but
4.11(i) and 4.14. Sect. 3.2: All exercises.
Hw.3 (Ass. Jan. 25, due Feb.1): Sect. 3.3: exercises 3.1, 3.4,
3.7, 3.16, 3.19, 3.27.
Hw.4 (Ass. Feb. 1, due Feb. 8): Sect. 3.3: exercises 3.2, 3.3,
3.5, 3.6, 3.8, 3.9, 3.10, 3.11, 3.12, 3.14, 3.15, 3.17, 3.18,
3.21. Read first the newly updated Lecture Notes 5 and the
Information about Midterm 1, which is Monday, Feb. 11. The 11.30
class must submit Feb. 8 the homework 3 also.
Hw.5 (Ass. Feb.8, due Feb.15):Sect 4.1: exercises 1.1, 1.2, 1.3,
1.4, 1.5, 1.6(i)and (ii), 1.7, 1.9, 1.10.
Hw. 6 (Ass. Feb.15, due Feb. 22): Sect 4.1: exercises 1.12, 1.13,
1.14, 1.15, 1.16, 1.17, 1.18, 1.19, 1.20, 1.21, 1.22, 1.23, 1.24,
1.25.
Hw. 7 (Ass. Feb. 22, due March 1): Sect. 4.2: exercises 2.1, 2.2,
2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 2.10, 2.11, 2.12, 2.13, 2.15,
2.16, 2.19, 2.20.
Hw. 8 (Ass. March 1, due March 8): Sect. 5.1: exercises 1.1, 1.2,
1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.10, 1.11, 1.12, 1.13, 1.14, 1.15,
1.18, 1.19, 1.20.
Hw. 9 (Ass. March 8, due March 22): Sect 5.2: 2.1, 2.2, 2.3,
2.4(i). Sect. 6.1: 1.1, 1.2(i), 1.3, 1.4, 1.5, 1.6, 1.7, 1.9,
1.11, 1.19, 1.20, 1.21, 1.22, 1.23, 1.30, 1.36.
Hw10 (Ass. March 22, due March 29): Sect 6.1: 1.13, 1.14, 1.15,
1.16, 1.17, 1.18.
Hw11(Ass. March 29, due April 5): Sect. 6.2: 2.11, 2.12, 2.13,
2.14, 2.15, 2.16, 2.17, 2.18, 2.20, 2.21, 2.23, 2.24, 2.27, 2.28,
2.29. Also, from the below scanned pages: ex. 10, 11, 13, 14 page
248, ex. 9 and 10 page 252, ex. 9, 10, 11 page 256. Also read
about the Brownian Motion from the scan below.
HW 12 (Ass. Apr.5, due Apr. 12): Sect. 12.2: ex. 2.3, 2.4, 2.5,
2.6, 2.7, 2.8, 2.9(i), 2.10, 2.11, 2.12, 2.14, 2.15 (don't pay
attention to the words "continuity correction"). Section 6.2: 2.4,
2.5, 2.6, 2.7, 2.8, 2.9. From the scans below: ex. 32, 33, 34 page
250 and ex. 13 page 256.
HW13 (Ass 4/13 and due 4/19): Sect. 6.2: 2.1, 2.2(i) and (ii),
2.3, Sect. 7.1: 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, Sec. 7.2: 2.1,
2.2, 2.3, 2.4(i), 2.7, 2.8.
Hw 14 (Assigned 4/19, not due but strongly recommended as practice
for final exam): Section 7.2: 2.5(i),(ii) and (iii), 2.9(i) and
(ii), 2.10(i) and(ii), 2.11, 2.12, 2.13(i) and (ii), 2.14, 2.21,
2.22, 2.23(i), 2.25, 2.26, 2.27(i) and (ii), 2.29.
pages
194-195
page
248
pages
250, 253, 256, 257
Read
about the Brownian Motion.
pages
249, 252, 256
Midterm
2.
Read
Some problems from the Review Session Final and The 30th
April's lecture notes.