Department of Mathematics and Computer Science

CS/Math 166 Assignments Page

Winter Quarter 2018

General Information

• General Rules and Other Information
  Remember the Rules for Programs when completing any programming assignment!
• Program Style

Announcements Regarding Specific Dates

• Mon, Jan 15, 2018, Martin Luther King Day -- Academic Holiday (No class).
• Wed, Jan 31, 2018, Midterm I.
• Midterms and Final Study Page
• Mon, Feb 19, 2018, Presidents' Day Holiday (No class).
• Wed, Feb 21, 2018, Midterm II.
• Mon, Mar 19, 2018, Final, 9:10am-11:10am (2 hours)

Programs, Written Homework

• Machine Problem 1, Due: Wed, Jan 17, 2018
• Machine Problem 2, Due: Fri, Jan 26, 2018
• Wed, Jan 31, 2018, Midterm I
• Machine Problem 3, Due: Mon, Feb 5, 2018
• Machine Problem 4, Due: Wed, Feb 14, 2018
• Wed, Feb 21, Midterm II
• Machine Problem 5, Due: Mon, Mar 5, 2018
• Machine Problem 6, Due: Mon, Mar 12, 2018

Written Homework (except as noted, assignments taken from Burden, Faires, and Burden, 10th ed.)
(Cross references to the 9th and 8th editions are also noted.)
NOTE that if problems seem appropriate, you are free to code iterative methods in some computer language and obtain the solution via computer. Also for problem pertaining to linear algebra problems, you are free to make use of Matlab/Octave.

• Homework 0 (Matlab/Octave Introduction), Due: Wed, Jan 10, 2018
• (MLK Holiday, Mon, Jan 15, 2018)
• Homework 1, Due: Wed, Jan 17, 2018.
  Sec 1.2, p 25: 1b, 3a, 4a, 5a, 6c, 21, 23b, 24 using eqs in b from 23;
  [9th ed. p 28 (8th ed. p 26): 1b, 2a, 3a, 4a, 5c, 17, 19b, 20 using eqs in b from 19;]
  Sec 1.3, p 35 [9th ed. p 39 (8th ed. p 36)]: 1a.
  NOTE: The answer for 1.2, # 23b in the back of the book is incorrect. The values should be x= -0.01211 and y = -0.003181
• Wed, Jan 17, 2018: MP 1 -- see above
• Homework 1A, Due; Fri, Jan 19, 2018. Handout about Interval Arithmetic.
  Copy available here.
• Homework 2, Due: Wed, Jan 24, 2018.
  NOTE: nothing prevents you from creating a small program to compute answers to some of the following problems.
  Sec 2.1, p 53: 1, 17, 20; [9th ed. p 54 (8th ed. p 51): 1, 15, 16;]
  Sec 2.3, p 74: 5a (use p₀=2), 7 (for 5a), 9 (for 5a) (for problems 7 and 9, use the endpoints of the interval as p₀ and p₁), 30;
  [9th ed. p 75 [8th ed. p 71]: 5a (use p₀=2), 7 (for 5a), 9 (for 5a) (for problems 7 and 9, use the endpoints of the interval as p₀ and p₁), 19;]
  Sec 2.4, p 85 [9th ed. p 86 (8th ed. p 82)] 8a -- NOTE: The problem has an exponent of 2ⁿ and not 2n;
  Additional Problem: Find the next three intervals, given the initial interval of [0,2], needed to find the roots of y=x²-2 via Regula Falsi.
• Fri, Jan 26, 2018, MP 2 -- see above
• Homework 3A, Due: Mon, Jan 29, 2018.
  Sec 6.2, p 383 [9th ed. p 380 (8th ed. p 368)]: 9a, 10b;
  Sec 6.3, p 383: 5a, 12, 9; [9th ed. p 391: 5a, 10, 14 (8th ed. p 378: 1a, 6, 10)],
  and the following Additional Problem:
  Let A be the matrix in prob. 5a [8th ed. 1a] and B the matrix in prob. 5b [8th ed. 1b], find AB and BA.
  Sec 6.4, p 403: 1c, 15a [9th ed. p 399 (8th ed. p 386): 1c, 12a].
• Wed, Jan 31, 2018, Midterm I
• Homework 3B, Due: Fri, Feb 2, 2018 Sec 6.2, p 383 [9th ed. p 380 (8th ed. p 368)]: 13a, 14b.
  
• Mon, Feb 5, 2018, MP 3 -- see above
• Wed, Feb 7, 2018, Brief Web Search Quiz to find pages referring to Preconditioning and Conjugate Gradient Method. (Page handed out in class and available here.)
• Homework 4, Due: Mon, Feb 12, 2018.
  Sec 7.3, p 465 [9th ed. p 459 (8th ed. p 449)]: 1a,b, 3a,b;
  Sec 7.4, p 473 [9th ed. p 467]: 1a,b [8th ed. sec 7.3, p 449, 9a,b];
  Sec 9.1, p 576 [9th ed. p 568]: 1a, 3a [8th ed. p 555: 1a, 5a];
  Sec 9.3, p 599 [9th ed. p 590]: 1c [8th ed. sec 9.2, p 571: 1c],
  and the following Additional Problem:
  Find the characteristic polynomial, and the eigenpairs of the matrix:
  

       ( 1  2 )
       ( 5  4 )
  

• Wed, Feb 14, 2018, MP 4 -- see above
• Homework 5, Due: Fri, Feb 16, 2018.
  Sec 8.1, p 514 [9th ed. p 506 (8th ed. p 490)]: 1, 5a, 9 (no plot);
  NOTE: For prob. 9, it is easier to do the calculuation if one adjusts the input data so that 1960 corresponds to 0, 1970 to 10, etc.
  Sec 3.1, p 114: 19 [9th ed. p 116: 18* (8th ed. p 115: 28*) *slightly different data. Get new data and new problem requests from others in the class];
  Sec 3.3, p 130: 9a, 11, 12 [9th ed. p 133 (8th ed. sec 3.2, p 127): 9a, 13, 14];
  
• (Presidents' Day Holiday, Mon, Feb 19, 2018)
• Wed, Feb 21, 2018. Midterm II
• Homework 6, Due: Fri, Mar 2, 2018.
  Sec 3.5, p 158 [9th ed. p 161 (8th ed. Sec 3.4, p 153)]: 3c, 5c. (Note: in 8th ed., "free" spline is an alternative name for "natural" spline, cf. top pg 144 [9th ed., middle pg 146; 8th ed., top pg. 140].)
• Mon, Mar 5, 2018, MP 5 -- see above
• Homework 7, Due: Mon, Mar 12, 2018.
  Sec 8.3, p 535 [9th ed. p 528 (8th ed. p 512)]: 6, 7;
  Sec 4.3, p 200: 1a (n=1), 5a (n=2), 17 for Trapezoidal (n=1) and Simpson's rule (n=2) only
  [9th ed. p 202 (8th ed. p 195): 1a (n=1), 5a (n=2), 22 for Trapezoidal (n=1) and Simpson's rule (n=2) only];
  Sec 4.5, p 217 [9th ed. p 218 (8th ed. p 211)]: 1a,b;
  Sec 4.7, p 234: 1a,b, 3a,b [9th ed. p 234 (8th ed. p 226): 1a,b, 2a,b].
• Mon, Mar 12, 2018, MP 6 -- see above
• "Study" Problems for use before Final Exam.
  Sec 5.2, p 272 [9th ed. p 273 (8th ed. p 263)]: 1, 5, 9.
  Sec 5.3, p 280 [9th ed. p 281 (8th ed. p 271)]: 1.
  Sec 5.6, p 314: 7a [9th ed. p 314 (8th ed. p 301): 5a].
  Sec 11.1, p 692 [9th ed. p 677 (8th ed. p 648)]: 1, 2.
  Sec 11.3, p 704 [9th ed. p 689 (8th ed. p 661)]: 1, 3.
  Sec 12.1, p 741 [9th ed. p 723 (8th ed. p 698)]: 1, 2, 3.
  Some detailed answers available at my office.
  PDF file of Study Problem answers at this link

Final Exam: Mon, Mar 20, 9:10am-11:10am (2 hours)

This page maintained by Dennis C. Smolarski, S.J., dsmolarski "at" scu.edu
Last updated: 27 November 2017.