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Fall, 2014
MATH 361 Numerical Analysis – MTWH 11-11:50 - WS112
Numerical Mathematics and Computing 7th Ed. by Cheney & Kincaid
Dr. Payne
WS 134K
M 2-3:50 T 3-3:50, WR 3:30– 4:20
248-1906
lpayne@coloradomesa.edu
GRADING STRUCTURE:
The grading in this course is based upon the following weighted percentages:
Homework and Programs
40%
Tests and Quizzes
60%
COURSE OBJECTIVES:
Catalog: Elementary numerical analysis using the hand-held programmable calculator including
Taylor's theorem, truncating errors, iteration processes, least squares methods, numerical solution
of algebraic and transcendental equations, systems of equations, ordinary and partial differential
equations, integral equations, interpolation, finite differences, eigenvalue problems, relaxation
techniques, approximations, and error analysis. Prerequisites: MATH 152.
Course Learning Objectives
By the end of the semester, the student will be able to:
o Understand the concepts of estimation techniques and the error terms
accompanying them
o Follow a variety of algorithms to estimate zeros, determine polynomial
approximations, solve systems of equations, approximate derivatives and definite
integration problems
o Create spreadsheets, VB functions, and use graphing calculators to find numerical
solutions and determine relative and actual error terms and how to limit them
MATH 361 Numerical Analysis helps students to meet these Student Learning Objectives for the BS in
Computer Science and the BS in Mathematics/ Secondary Education Mathematics by meeting the following
Learning Objectives
B. S. in Computer Science Students will be able to:

Write programs in multiple programming languages, and be able to translate concepts between
languages.

Develop the technical specification, and develop, design and test a software solution for a given
problem.
B. S. Mathematics Students will be able to:

Students will use mathematical software (including calculators) to aid in problem-solving and
investigation, and understand its limitations.
SPECIAL NOTES:
 No makeup tests or quizzes will be given in this class. It is the student’s responsibility to attend class
every day, and to be on time. It is also the student’s responsibility to do the assigned homework and
programs and the corresponding reading associated with that work. When homework is assigned, it
should be turned in on time, at the start of class.

Please be courteous to your classmates. Be on time for class. Be ready for that day's material. Do not
play on the computer during lecture.

“In coordination with Educational Access Services, reasonable accommodations will be provided for
qualified students with disabilities. Students must register with the EAS office to receive assistance.
Please meet with the instructor the first week of class for information and/or contact Dana
VandeBurgt, the Coordinator of Educational Access Services, directly by phone at 248-1801, or in
person in Houston Hall, Suite 108.”

Statement of Student Engagement: An undergraduate student should expect to spend on this course
a minimum of two hours outside of the classroom for every hour in the classroom. The outside hours
may vary depending on the number of credit hours or type of course. More details are available from
the faculty member or the department office and in CMU’s Curriculum Policies and Procedures Manual.
Numerical Analysis
Fall, 2014
Tentative Schedule of Topics
Dates
Chapter
Aug 18 - 27
1
Aug 28 – Sep 8
3
Sep 11
Sep 15 – 25
Sep 25 – Oct 8
Topics
Introduction to Numerical Computing, Errors
Root Finding
Test 1
4.3
5
Oct 9
Derivatives
Integration Techniques
Test 2
Oct 13 – Oct 22
2.4,4
Interpolation And Root Finding
Oct 23 – Nov 5
6
Curve fitting and Splines
Nov 6
Nov 5 - 13
Nov 17 – Dec 2
Test 3
6
7
Numerical Solutions to Ordinary
Differential Equations
Solving Systems of Equations
Nov 28
Test 4
Dec 10
Final Exam ( 10 – 11:50 a.m.)