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MATH 467/666 - Numerical Analysis II
Section 1001, Spring 2017
(1/18/2017-5/3/2017)

Time and Venue:

MW  4:00PM - 5:15PM, CBC C214

Instructor: Dr. Pengtao Sun
Office Hours:

MW 12:30PM - 2:00PM, or by appointment

Email: pengtao.sun@unlv.edu
URL: http://faculty.unlv.edu/sun
Phone: (702) 895-5175
Textbook: Numerical Analysis (9th edition), by Richard L. Burden & J. Douglas Faires

 


CATALOG DESCRIPTION: Introduction to numerical mathematics and scientific computing. Topics including methods of error estimation, interpolation theory, numerical integration, and solutions of linear and non-linear equations. Emphasizes hands-on computer work based on these techniques.

Chapter 5 Initial-Value Problems for Ordinary Differential Equations
Chapter 11 Boundary-Value Problems for Ordinary Differential Equations
Chapter 12 Numerical Solutions to Partial Differential Equations
Chapter 8 Approximation Theory
Chapter 10 Numerical Solutions of Nonlinear Systems of Equations
Chapter 6 Direct Methods for Solving Linear Systems
Chapter 7 Iterative Techniques in Matrix Algebra
Chapter 9 Approximating Eigenvalues

PREREQUISITE: MATH 182  and CS 202 minimum or equivalent, better in MATH 283, and either MATH 330  or MATH 365. Overall, the basis of this course requires single variable calculus, matrix algebra, and a very basic knowledge of computer programming (a little basic knowledge in any of the following computer languages: C, C++, FORTRAN, Java will be sufficient. Matlab or Mathematica can also be used.)
 

COURSE LEARNING OUTCOMES: Numerical analysis is the study of algorithms for computing numerical answers to mathematical problems (or mathematical models of physical problems). This course will provide introduction to the basics of the modern numerical techniques when applied to problems of analysis and algebra. After one-semester study for this course, the students will be expected to understand and grasp how to apply numerical techniques and algorithms to a variety of basic problems such as initial & boundary value problems of ordinary differential equation, solution of matrix algebra problems, and etc., how to analyze the error bound of these numerical approximation methods, how to implement these numerical algorithms with computer programming, and so on. 

TEST AND GRADING POLICY: There are three (75 minutes) tests. Each test is worth 25%, the homework is worth the remaining 25%. All tests are noncumulative exam.

Grades will be assigned on the basis of total 100 points, distributed as follows:

Homework 25%
Three tests 25% each, total 75%
Total 100

Final course grades will be assigned as follows:

A 95-100
A- 90-94
B+ 85-89
B 80-84
C+ 75-79
C 70-74
D 60-69
F 0-59

NOTE: Your grade will be based EXCLUSIVELY on the tests, homework, and the attendance.

CLASS POLICIES:

HOMEWORK:

The homework problems that you should work after each lecture are on the assignment list. You are required to do the homework outside of class for each section after we have completed the lesson. Homework are collected on each Monday, and are returned to you on next Monday.

 

ATTENDANCE:

You are expected to attend class regularly. If you miss a class for any reason, you are responsible for all material covered, announcements made in your absence, and acquiring materials that may have been distributed in class. In borderline cases, attendance will be taken into consideration.

 

MISSED EXAMS:

You will have the opportunity to make up an examination given on a day you are absent if you can provide sufficient reason for missing the examination.

CALCULATORS:

A graphics calculator is useful as a study and learning tool when used appropriately. However, calculus is a collection of ideas which are not mastered through calculator skills only. Note that no calculators are allowed on quizzes, midterm and final examinations.

ACADEMIC INTEGRITY:

Academic integrity is the pursuit of scholarly activity in an open, honest and responsible manner. Academic integrity is a basic guiding principle for all academic activity at University of Nevada, Las Vegas, and all members of the University community are expected to act in accordance with this principle. Consistent with this expectation, the University's Code of Conduct states that all students should act with personal integrity, respect other students' dignity, rights and property, and help create and maintain an environment in which all can succeed through the fruits of their efforts.

Academic integrity includes a commitment not to engage in or tolerate acts of falsification, misrepresentation or deception. Such acts of dishonesty violate the fundamental ethical principles of the University community and compromise the worth of work completed by others. Based on the University's Student Academic Misconduct Policy, a range of academic sanctions may be taken against a student who engages in academic dishonesty.

LECTURE-BY-LECTURE BREAKDOWN (Tentatively):

WEEK
DAY/DATE
SECTION(S) COVERED

1

Wednesday
Jan 18

CLASS BEGINS

5.1

2

Monday
Jan 23
5.2

 

Wednesday
Jan 25
5.3

3

Monday
Jan 30
5.4
  Wednesday
Feb 1
5.5

4

Monday
Feb 6
5.6

 

Wednesday
Feb 8
5.9

5

Monday
Feb 13
5.10

 

Wednesday
Feb 15
5.11

6

Monday
Feb 20
Washington’s Birthday Recess

 

Wednesday
Feb 22
TEST I 

7

Monday
Feb 27
11.1

 

Wednesday
Mar 1
11.2

8

Monday
Mar 6
11.3

 

Wednesday
Mar 8
11.4

9

Monday
Mar 13
11.5

 

Wednesday
Mar 15
12.1

10

Monday
Mar 20
12.2

 

Wednesday
Mar 22
12.3

11

Monday
Mar 27
12.4

 

Wednesday
Mar 29
TEST II 

12

Monday
Apr 3
8.1

 

Wednesday
Apr 5
8.2

13

Monday
Apr 10

Spring Break

 

 

Wednesday
Apr 12

14

Monday
Apr 17
8.5

 

Wednesday
Apr 19
8.6

15

Monday
Apr 24
10.1, 10.2

 

Wednesday
Apr 26
10.2, 10.3

16

Monday
May 1
10.3, 10.4

 

Wednesday
May 3

REVIEW

17

 

Wednesday
May 8

6:00pm-8:00pm

TEST III

Last updated: 01/13/2017

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