Announcements

here's some good problems from the textbook to look at: (some are repeated from the homework assignments through the quarter)
  • § 1.2 # 23
  • § 2.3 # 14
  • § 3.1 # 6, 8
  • § 3.2 # 11, 18
  • § 3.3 # 3
  • § 4.1 # 10, 14
  • § 4.2 # 6, 9
  • § 4.3 # 16, 18
  • § 5.1 # 6
  • § 5.2 # 7, 10
  • § 5.3 # 5
  • § 6.1 # 7
  • § 6.2 # 7
  • § 6.5 # ?
  • § 7.1 # 10, 12
  • § 7.2 # 3, 10
  • § 8.1 # 8, 11
  • § 8.2 # ?
  • § 10.1 # 16, 18
i really hate html because certain browsers will forgive errors that will render some pages useless. hopefully you can read this rant, and the office hours announcement that follows.

Office hours for finals week:
Monday, Dec 08 1:00p-3:00p
Tuesday, Dec 09 9:30a-11:00a

Old Announcements

My office hours are: Wednesdays 1:00p-2:30p Thursdays 2:30p-3:30p

Math 174 Numerical Methods in Science and Engineering Fall 2003

  • Instructor: Steven E. Pav
  • Phone: 858 534 2126 (4-2126)
  • Email: spav@math.ucsd.edu
  • Office: 5763 Applied Physics & Mathematics Building (APM)
  • Office Hours: W 1:00p-2:30p, Th 2:30p-3:30p, or by appointment
  • Class Meeting Times: MWF 3:00p-3:50p, 1315 HSS
  • Discussion Section: F 4:00p-4:50p, 2112 WLH
  • Textbook: Numerical Mathematics and Computing, fourth edition, Cheney and Kincaid (isbn:0-534-35184-0)
  • Course Webpage: http://scicomp.ucsd.edu/~spav/class/2003F-M174/
  • Final Exam: Tuesday December 9, 3:00p-6:00p
  • Original Syllabus: avaliable as postscript or pdf.
Catalog Description. 174. Numerical Methods in Science and Engineering (4) Floating point arithmetic, linear equations, interpolation, integration, differential equations, nonlinear equations, optimization, least squares. Students may not receive credit for both Math. 174 and Physics 105 or MAE 153 or 154. Students may not receive credit for Math. 174 if Math. 170 A,B, or C has already been taken. Prerequisites: Math. 21D (2DA) and Math. 20F (2EA).

Course Description. This course serves as an introduction to applied numerical mathematics. Numerical analysis, roughly speaking, is concerned with finding approximate numerical solutions to problems for which we lack sufficient data or have no analytic solution: for example, we will explore methods of finding approximate roots of functions for which we have no closed form solution; we will examine algorithms which approximate the integral of a "black box" function; we will use iterative solvers to find the approximate solutions to linear systems; we will use the method of least squares to find the "best" function to approximate a set of data points.

Grading Policy. Grading will be based upon performance in seven quizzes, two single hour exams and a comprehensive final. The final quarter grade is subdivided as follows: Quizzes: 21%; Exams: 21% each; Final: 37%. Quizzes will be administered in the discussion section1; the material on the quizzes will be similar to that of the assigned homeworks. Homework will be assigned weekly but not collected. Students are encouraged to work together on homeworks (but prohibited from doing so on quizzes and exams). Homework will be assigned at least one week in advance of the quizzes, and will be posted on the course web page as well as announced in class.

Grade cutoffs are projected to be as follows: B+/A- cutoff: 90; C+/B-: 80; D/C-: 70; F/D: 60. Grade cutoffs may drift downwards but not upwards at quarter's end, so that, for example, a grade of 89 will be no worse than a B-, but might be higher (and likely would be), while a grade of 90 will not be anything less than an A-.

Students are expected to adhere to the University's policy on academic integrity. Course Webpage. The course webpage, (http://scicomp.ucsd.edu/, spav/class/2003F-M174/) will include homework postings as well as distilled versions of the daily lectures.

Course Schedule.

The following course schedule is approximate.
  • week 0
  • week 1
    • M Sep 29 §1.2, 2.3.
      . Lecture in postscript or pdf
    • W Oct 01 §3.1.
      . Lecture in postscript or pdf
    • F Oct 03 §3.2
      . Lecture in postscript or pdf
    • F Oct 03 disc quiz 1, covering §1.2, 2.3, 3.1
      . Homework 1 (relevant for quiz 1)
      • § 1.2 # 1, 8, 11, 13, 28, 44.
      • § 2.3 # 1, 3, 10, 11, 12.
      • § 3.1 # 5, 6, 8, 13.
      • Since the textbook was not in the bookstore for parts of week 1, the actual questions for homework 1 are made available here as postscript or pdf.
  • week 2
    • M Oct 06 §3.3
      . Lecture in postscript or pdf
    • W Oct 08 §4.1
      . Lecture in postscript or pdf
    • F Oct 10 §4.2
      . Lecture in postscript or pdf
    • F Oct 10 disc quiz 2, covering §3.2, 3.3, 4.1
      . Homework 2 (relevant for quiz 2)
      • § 3.2 # 1, 2, 3, 7, 9, 11, 12, 13, 19, 27.
      • § 3.3 # 1, 2, 9, 13, 14, 15.
      • § 4.1 # 1, 3, 4, 5, 8, 10, 11, 13.
  • week 3
    • M Oct 13 §4.2,4.3
      . Lecture in postscript or pdf
    • W Oct 15 §4.3
      . Lecture in postscript or pdf
    • F Oct 17 §5.1
      . Lecture in postscript or pdf
    • F Oct 17 disc review for exam 1. no quiz.
      . Homework 3 (relevant for exam 1)
      • § 4.1 # 13, 18, 19.
      • § 4.2 # 9, 10.
      • § 4.3 # 1, 2, 3, 4, 6, 8, 16, 18, 19.
  • week 4
    • M Oct 20 exam 1, covering §1.2, 2.3, 3.1-3.3, 4.1-4.3
      . All the lecture notes relevant to this exam are available in one file as postscript or pdf.
    • W Oct 22 §5.2
      . Lecture in postscript or pdf
    • F Oct 24 §5.2,5.3
    • F Oct 24 disc quiz 3, covering §5.1, 5.2
      . Lecture in postscript or pdf
      . Homework 4 (relevant for quiz 3)
      • § 5.1 # 6, 7, 8, 11, 12.
      • § 5.2 # 6, 7, 9, 10, 16, 17, 18, 25.
  • week 5
    • M Oct 27 cancelled (fires)
    • W Oct 29 cancelled (fires)
    • F Oct 31 §5.5
      . Lecture in postscript or pdf
    • F Oct 31 disc quiz 4, covering §5.1-5.3
      . Homework 5 (relevant for quiz 4)
      • § 5.1 # 6, 7, 8, 11, 12.
      • § 5.2 # 6, 7, 9, 10, 16, 17, 18, 25.
      • § 5.3 # 1, 3, 4, 5, 7, 11, 14, 15, 16, 22.
  • week 6
    • M Nov 03 §5.5,6.1
      . Lecture in postscript or pdf
    • W Nov 05 §6.1,6.2
      . Lecture in postscript or pdf
    • F Nov 07 §6.2,6.4
      . Lecture in postscript or pdf
    • F Nov 07 disc quiz 5, covering §5.5, 6.1, 6.2
      . Homework 6 (relevant for quiz 5)
      • § 5.5 # 1, 2, 5, 6, 7, 8, 10, 12, 13, 14.
      • § 6.1 # 1, 2, 3, 4.
      • § 6.2 # 1, 2, 8, 23.
  • week 7
    • M Nov 10 §6.4,6.5
      . Lecture in postscript or pdf
    • W Nov 12 §6.5, 7.1
      . Lecture in postscript or pdf
    • F Nov 14 review for exam 2.
    • F Nov 14 disc review for exam 2. no quiz.
      . Homework 7 (relevant for exam 2)
      • § 6.4 # 1, 2, 3, 4, 5, 6, 8, 9.
      • § 6.5 # 1.
  • week 8
    • M Nov 17 exam 2, covering §5.1-5.3, 5.5, 6.1, 6.2, 6.4, 6.5
      . All the lecture notes relevant to this exam are available in one file as postscript or pdf.
    • W Nov 19 §7.2,7.3,7.4
      . Lecture in postscript or pdf
    • F Nov 21 §8.1
      . Lecture in postscript or pdf
    • F Nov 21 disc quiz 6, covering §7.1, 7.2
      . Homework 8 (relevant for quiz 6)
      • § 7.1 # 1, 2, 3, 4, 9, 10, 12, 17, 18.
      • § 7.2 # 1, 2, 4, 12, 13, 16, 21.
  • week 9
    • M Nov 24 §8.2
      . Lecture in postscript or pdf
    • W Nov 26 §9.1
      . Lecture in postscript or pdf
    • F Nov 28 Thanksgiving Holiday; no class
    • F Nov 28 disc Thanksgiving Holiday; no discussion
  • week 10
    • M Dec 01 §10.1
      . Lecture in postscript or pdf
    • W Dec 03 §10.2; quiz 7 covering §8.1, 8.2, 9.1, 10.1
      . Lecture in postscript or pdf <= note: quiz in class
      . Homework 9 (relevant for quiz 7)
      • § 8.1 # 1, 2, 9, 10, 12.
      • § 8.2 # 1, 2, 3.
      • § 9.1 # 1.
      • § 10.1 # 1, 2, 3, 4, 5, 7, 13, 18, 19.
    • F Dec 05 §10.2, Review for Final Exam; Last class; CAPE evaluations.
    • F Dec 05 disc Review for Final Exam; Last Discussion
  • finals week
    • T Dec 09 Final Exam. 3:00p-6:00p
      . All the lecture notes after exam 2 are available in one file as postscript or pdf.
      . All the lecture notes from the whole quarter are available in one file as postscript or pdf.