Math 60850, Fall 2019

Haggar Hall 117: T + Th  11:00AM - 12:15PM


Information on grading, tests, and homework  

Course Syllabus


Instructor: Andrew Sommese (Hurley 170).

Email: sommese@nd.edu

Office Hours: T + Th 12:30PM - 1:30PM.


Teaching Assistant: Luyi Shen.

Office Hours: Mondays, 12:30PM - 1:30PM (in Crowley 205).


Exam Schedule

Exam 1: Thursday October 10 (in class).

Exam 2: Tuesday November 19 (take home handed out in class on Thursday November 14).

Final: Due Friday Dec. 20, 2019 (10:30AM - 12:30PM).

        The final will be take home.

 

Worksheets on Markov chains:

SomeMarkovChains.pdf

FiniteMarkovChainExamples.pdf

 

Homework

Homework 1 (Due Tuesday, September 3) 

        Read Chapter 1 and section 2.1.

         Page 14: problem 9.

         Page 21: problems 2b, 3ab, 4, 9, 14 (for n=3), 16, 34.

Homework 2 (Due Tuesday, September 10) 

        Read through Chapter 3.1.

         Page 30: problems 2, 3, 4, 5ab.

         Page 35: problems 4, 5a (assume d > 1).

         Page 38: problems 1abcde (put appropriate conditions so that the expressions make sense, e.g., the square root of X needs X greater than or equal to 0).

         Page 41: problems 1, 4.

Homework 3 (Due Tuesday, September 17)

         Read through Chapter 3.9.

         Page 38: problem 2.

         Page 41: problem 6.

         Page 43: problems 4abc, 9 (just |X|).

         Page 47: problems 1, 3.

         Page 49: problem 1.

         Page 55: problem 6.

         Page 59: problem 2.

Homework 4 (Due Tuesday, September 24)

        Read through Chapter 4.9.

         Page 62: problem 1 (case of n = 3).

         Page 66: problem 2 (case of n = 3).

         Page 69: problems 4, 6.

         Page 71: problem 6.

         Page 83: problems 4, 5b, 15.

Homework 5 (Due Tuesday, October 1)

         Read Sections 4.10, 4.11, 5.1, 5.2, 5.3, 5.4.

         Page 75: problem 1 (just do it for E(T): note there is a typo in the book, which is gone now with the second k set to 1).

         Page 91: problems 2, 3.

         Page 92: problem 1.

         Page 94: problems 3.

         Page 97: problems 3, 5.

         Page 103: problem 4.

         Solve the difference equation

                 y_{k+2} = 3y_{k+1} - 2y_k + 1 for k = 1 to 9

         subject to the boundary conditions y_0 = 0 = y_{10}.

Homework 6 (Due Tuesday, October 8)

         Read Sections 5.6 and 5.7.

         Page 106: problem 4a, 9.

         Page 112: problems 1, 6, 8.

         Page 115: problem 1.

         Page 118: problem 4.

Homework 7 (Due Tuesday, October 15)

         Read Section 5.8.

         Page 122: problem 1 (you may use problem 4.14.12).

         Page 155: problems 1b, 9.

Homework 8 (Due Tuesday, October 29)

         Read Sections 6.1 to 6.4.

         Page 219: problems 1, 2, 8.

         Page 223: problems 2, 3.

Homework 9 (Due Tuesday, November 5)

         Read Sections 6.5 to 6.9.

         Page 225: problem 3.

         Page 236: problem 4.

         Page 242: problems 1, 6e.

Homework 10 (Due Tuesday, November 12)

         Read Sections 7.7, 7.8, 12.1.

         Page 255: problem 5.

         Page 296: problems 1, 2, 3, 5.

Homework 11 (Due Tuesday, November 26)

         Read Sections 13.1 to 13.3.

         Page 525: problems 9, 10.

         Page 529: problem 1. 

Homework 12 (Due Tuesday, December 3)

         Read Sections 13.7 to 13.9.

         Page 539: problems 3ab.

         Page 547: problems 2, 3, 5ab.     

Homework 13 (Due Tuesday, December 10)

         Read Sections 13.10.

         Page 561: problems 1ab, 9.

         Two problems. 


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