Math 5610/6860 Introduction to Numerical Analysis I
Fall 2013, 4.0 units,
M, T, W, H 10:45-11:35 am, NS 204.
Instructor: Dr. Qinghai Zhang
Contact: qinghai@math.utah.edu, 801-581-8174
Website: http://www.math.utah.edu/~tsinghai/teaching/math5610/index.html
Office hours: TBA
Prerequisite: (1) “C” or better in MATH 2210 or MATH 1260 or MATH 1280 or MATH
1321 and (2) “C” or better in MATH 2270 or MATH 2250, and (3) programming experience.
Text: Numerical Analysis - Mathematics of Scientific Computing by D. Kincaid and W.
Cheney, 3rd Edition. ISBN: 978-0-8218-4788-6.
Description: This is the first of a two-semester series of classes on numerical analysis.
Topics covered include:
• §1. Mathematical preliminaries: calculus review (mostly Taylor’s theorem),
• §2. Computer arithmetic,
• §3. Solution of nonlinear equations,
• §4. Solving systems of linear equations,
• §6. Approximating functions,
• §7. Numerical differentiation and integration,
• §5. Selected topics in numerical linear algebra (if time permits).
Other reference textbooks:
You are not required to buy these; I will occasionally reference them in the class.
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Numerical Analysis by R. L. Burden and J. D. Faires, 9th edition, ISBN: 978-0-538-73351-9.
An Introduction to Numerical Analysis by K. E. Atkinson, 2nd edition, ISBN: 0-471-62489-6.
Numerical Linear Algebra by L. N. Trefethen and D. B. Bau, ISBN: 978-0-898713-61-9.
Matrix Computations by G. H. Golub and C. F. Van Loan 3rd edition, ISBN: 0-8018-5414-8.
Homework: There will be a homework assignment every one or two weeks, due on Mondays
by the end of class. If you turn in your homework after class on Monday and before 5 p.m.
on Wednesday, your homework score will be multiplied by a factor of 0.8. No homework will
be accepted after Wednesday 5p.m. The lowest homework grade will be dropped.
Programming: Programming is an important part of the homework. You are strongly
encouraged to use Matlab or the open source (free) alternative Octave. However, C++ code
are also acceptable.
Grading: I will use Canvas (accessible through cis.utah.edu) to post your grades. Please
check to make sure what is posted is consistent with what you received on paper and if not,
let me know within a week from the day the assignment was returned. The breakdown for
the course grade is as follows:
• Homework: 40%,
• Project: 15% (details to be announced),
• Midterm exam: 15% (details to be announced),
• Final exam: 30% (details to be announced).
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Math 6860 Option: For graduate students, you can take this class as Math 6860. In
addition to the requirements for Math 5610, you are supposed to
• turn in solutions for all extra-credit homework problems,
• work on a harder final project,
• do all extra-credit problems in the exams.
ADA statement: “The University of Utah seeks to provide equal access to its programs,
services and activities for people with disabilities. If you will need accommodations in the
class, reasonable prior notice needs to be given to the Center for Disability Services, 162
Union Building, 581-5020 (V/TDD). CDS will work with you and the instructor to make
arrangements for accommodations.”
Note: This syllabus is not a binding legal contract. It may be modified by the instructor when the
student is given reasonable notice of the modification.
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