Calendar for Math 273: Introduction to Scientific Computing
DISCLAIMER: Anything more than two weeks in the future is subject to change!
To prepare for class each day:
- Read the assigned section(s) in the text.
- Prepare notes summarizing the Algorithms, Analysis and
Software discussed in the assigned reading.
- Run the M-Files that appear in the reading
assignment, and observe what they do.
Assigned readings are from the TEXT:
Charles F. Van Loan, Introduction to Scientific Computing, 2nd Edition.
Week 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
WEEK 1 27 - 31 August
Course Introduction, outline, policies
§ 1.1 Vectors and plotting.
Slides [PostScript] [Acrobat]
§ 1.2 ... and Matrices
Slides [PostScript] [Acrobat]
§ 1.3 Building exploratory environments.
Slides [PostScript] [Acrobat]
Exercises: P1.1.1, P1.2.4, P1.3.3
WEEK 2 3 - 7 September
Mon 3
LABOR DAY HOLIDAY - no class meeting
§ 1.4 Error
Slides [PostScript] [Acrobat]
Review of Taylor approximation [PostScript] [Acrobat]
Exercises: P1.4.2, P1.4.10
NOTE: In P1.4.2 you do not need to take 50 terms. How many suffice?
WEEK 3 10 - 14 September
§ 1.5 Designing Functions
Slides [PostScript] [Acrobat]
Fri 14 FIRST HOMEWORK DUE (PostScript) (Acrobat)
Sample solutions (PostScript) (Acrobat)
WEEK 4 17 - 21 September
§ 2.1 Polynomial Interpolation: The Vandermonde Matrix
Slides [PostScript] [Acrobat]
§ 2.2 The Newton representation
Slides [PostScript] [Acrobat]
Exercises: P2.1.1, P2.2.3
WEEK 5 24 - 28 September
§ 2.3 Properties
Slides [PostScript] [Acrobat]
§ 5.1 Setting up matrix problems
Slides from lecture [PostScript] [Acrobat]
§ 5.2 Matrix Operations
Slides [PostScript] [Acrobat]
WEEK 6 1 - 5 October
§ 5.3 Setting up matrix problems revisited
Slides [PostScript] [Acrobat]
Wed 3 SECOND HOMEWORK DUE (PostScript) (Acrobat)
Sample solutions (PostScript) (Acrobat)
Thu 4
MIDTERM EXAM I: 7:00-8:30 PM, 18 Carver
CHAPTERS 1, 2, 5 [Textbook Required]
Topics: [PostScript] [Acrobat]
Exam Text: [PostScript] [Acrobat]
Sample Solutions: [PostScript] [Acrobat]
Fall 2000 Exam: [PostScript] [Acrobat]
Solutions: [PostScript] [Acrobat]
Spring 2000 Exam: [PostScript] [Acrobat]
Solutions: [PostScript] [Acrobat]
Fri 5 NO CLASS MEETING
WEEK 7 8 - 12 October
§ 6.1 Triangular matrices. Exercise: P6.1.2
Slides [PostScript] [Acrobat]
§ 6.2 Banded matrices. Exercise: P6.2.1
Slides [PostScript] [Acrobat]
WEEK 8 15 - 19 October
§ 6.3 Full matrices. Exercise: P6.3.5
Slides [PostScript] [Acrobat]
§ 6.4 Analysis. Exercise: P6.4.1
Slides [PostScript] [Acrobat]
WEEK 9 22 - 26 October
§ 7.1 Least squares fitting. Exercise: P7.1.2
Slides [PostScript] [Acrobat]
§ 7.2 The QR factorization. Exercise: P7.2.4
Slides [PostScript] [Acrobat]
§ 7.3.1-2 The Cholesky Factorization. Exercise: P7.3.1
Boundary value problems and symmetric tridiagonal matrices.
Slides [PostScript] [Acrobat]
Fri 26
THIRD HOMEWORK DUE (PostScript) (Acrobat)
Sample solutions (PostScript) (Acrobat)
WEEK 10 29 October - 2 November
§ 8.1 Finding roots. Exercise: P8.1.9
Slides [PostScript] [Acrobat]
§ 8.2 Minimizing a function of one variable. Exercise: P8.2.4
Slides [PostScript] [Acrobat]
WEEK 11 5 - 9 November
Review of multidimensional calculus
(gradient, hessian, conditions for a minimum)
§ 8.3 Minimizing multivariate functions. Exercise: P8.3.1
Slides [PostScript] [Acrobat]
§ 8.4 Solving systems of nonlinear equations
Slides [PostScript] [Acrobat]
WEEK 12 12 - 16 November
Wed 14 FOURTH HOMEWORK DUE (PostScript) (Acrobat)
Sample solutions (PostScript) (Acrobat)
Thu 15
MIDTERM EXAM II: 7:00-8:30 PM, 18 Carver.
CHAPTERS 5 - 8 Textbook Required
Topics: [PostScript] [Acrobat]
Exam Text: [PostScript] [Acrobat]
Sample Solutions: [PostScript] [Acrobat]
Fall 2000 Exam: [PostScript] [Acrobat]
Solutions: [PostScript] [Acrobat]
Spring 2000 Exam: [PostScript] [Acrobat]
Solutions: [PostScript] [Acrobat]
Fri 16 NO CLASS MEETING
THANKSGIVING BREAK
Fri 23
WEEK 13 26 - 30 November
§ 9.1 ODE Initial Value Problems: Basic Concepts
Exercise: P9.1.2
Slides [PostScript] [Acrobat]
WEEK 14 3 - 7 December
§ 9.2 The Runge-Kutta methods. Exercise: P9.2.2
Slides [PostScript] [Acrobat]
§ 9.3 The Adams methods. Exercise: P9.3.1
Slides [PostScript] [Acrobat]
WEEK 15 10 - 14 December
§ 9.3 ... continued.
Stiff problems.
Fri 14 FIFTH HOMEWORK DUE (PostScript) (Acrobat)
Sample solutions (PostScript) (Acrobat)
EXAM WEEK 17 - 21 December
Tue 18 Final Exam 7:30 - 9:30 AM, 2050 Agronomy (Regular Classroom)
Topics and Directions for preparing: [PostScript] [Acrobat]
Fall 2000 Final Exam: [PostScript] [Acrobat]
Solutions: [PostScript] [Acrobat]
Spring 2000 Final Exam: [PostScript] [Acrobat]