ACMS 40390, Spring 2019

DeBartolo Hall 215: MWF  9:25-10:15AM


Information on grading, tests, and homework  

Course Syllabus


Instructor: Andrew Sommese (Hurley 291).

Email: sommese@nd.edu

 

Instructor’s Office Hours: MF 10:20-11:15 AM.

Office Hours of TA (Yihao Fang):  WF 3-4 PM in 202 Crowley.


Examples

           Using Newton to reduce division to multiplication and addition.  

           Interpolation of the Runge Function.

           Numerical Differentiation

           Newton-Cotes Formulae

 

 


Exam Schedule

Exam 1: Wednesday, February 20.  
Exam 2: Wednesday, April 3.
Final: Monday, May 6:   8:00 AM - 10:00 AM (take home due date).

Homework

Homework 1 (Due Wednesday, January 23)   Answers

        Read sections 1.1 to 1.3.

        pg 11-13  Problems 1ad, 2a, 3a, 5a, 7a, 13c.

           pg 25  Problems 5cd.

           pg 36  Problems 6ad and 7cd.

 

     Homework 2 (Due Wednesday, January 30)   Answers  

             Read sections 2.1 to 2.3 and 3.1 to 3.2.

             pg  53   Problems 1, 2a, 5b.

                 pg  63   Problems 1cd, 2 for g from 1cd.
                 pg  74   Problem 6a; Problem 8 for the function in 6a; and Problem 13bc.

 

     Homework 3 (Due Wednesday, February 6)   Answers      

             Read sections 3.1 to 3.5 and 4.1.

             pg  112   Problems 1ab, 2bd, and Problem 3 for the approximations in 1ab.

                 pg  120   Problems 1a, 3.
                 pg  130   Problems 1, 7.

                 Pg  139   Problem 1ac.

 

     Homework 4 (Due Wednesday, February 13)   Answers      

             Read sections 4.2 to 4.4.

             pg  180   Problems 1a, 6c, 8c.

                 pg  189   Problems 1ab, 6, 13.
                 pg  200   Problems 1a, 2a, 6a, 10a.

                 pg  208   Problem 1ac, 3ac, 5ac, 13ab.

 

     Sample Test 1  and the Answers

 

     Answers to Test 1

 

     Homework 5 (Due Wednesday, February 27)   Answers     

             Read sections 4.5 to 4.7.

             pg  217   Problems 1ab, 3ab, 5ab.

                 pg  226   Problems 1a, 2a, 3a, 6a (use 10^(-4) instead of 10^(-5) in 6a).
                 pg  234   Problems 1ac, 3ac, 11.

    

     Homework 6 (Due Wednesday, March 6)   Answers    

             Read sections 4.9 and 5.1 to 5.2.

             pg  255   Problems 1a, 3b, 4a.

                 pg  264   Problems 1a, 2a, 3a.
                 pg  272   Problems 1a, 3a, 5a, 7a, 13a.

 

     Homework 7 (Due Wednesday, March 20)   Answers   

             Read sections 5.3 to 5.4 and section 5.9.

1)    Discuss the error bound 5.10 (with the values computed for L and M) for

                            problem 5d on page 273.

                 pg  280   Problems 1a, 3a, and 10a.
                 pg  291   Problems 1d, 5d, 13d

                 pg  337   Problems 1a.

 

     Homework 8 (Due Wednesday, March 27)   Answers   

             Read sections 7.1, 7.2, 9.1

             pg. 447  Problems 1bd, 4bd, 5abd, 6d, 8bd, 9.

                 pg. 454  Problems 1ad, 2ad, 5ad, 6ad, 7ad, 8ad, 9ad, 12.

                 pg. 576  Problems 2d, 3d, 4ad, 7ab.

 

       Sample Test 2 and the Answers

 

     Homework 9 (Due Wednesday, April 10)   Answers   

             “Review” sections 6.1 – 6.4 and read section 7.3

             pg. 371  Problems 3ab.

                 pg. 383  Problems 11a, 15a.

                 pg. 395  Problems 4cd, 5b.

                 pg. 403  Problems 1a, 3a.

                 pg. 465  Problems 1a, 3a.

 

     Answers to Test 2

 

     Homework 10 (Due Wednesday, April 17)   Answers   

             Read sections 9.3 (only the part on the power method), 10.1, 10.2, 10.5

             pg. 599  Problems 1ad, 2ad.

                 pg. 648  Problems 1, 2 (for these problems, you only need to find one of

                           the solutions for each).

                 pg. 655  Problems 1a, 2c, 9, 14.

                 pg. 680  Problems 3a.

 

        Homework 11 (Due Friday, April 26)   Answers   

                Read sections 11.1 to 11.4

                 pg. 680  Problem 3a with N = 20 instead of N = 2 and Problem 3a with N = 20

                            using the Runge-Kutta method of order four instead of Euler’s method.

                 pg. 692  Problem 4a.

                 pg. 699  Problem 3d.

                 pg. 704  Problem 3a.

                 pg. 711  Problems 4a and 5a.

 


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