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MATH 467/666 - Numerical Analysis
II Section 1001, Spring 2017
(1/18/2017-5/3/2017)
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Time and Venue: |
MW
4:00PM - 5:15PM, CBC C214 |
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Instructor: |
Dr. Pengtao Sun |
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Office Hours: |
MW 12:30PM - 2:00PM, or by appointment |
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Email: |
pengtao.sun@unlv.edu |
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URL: |
http://faculty.unlv.edu/sun |
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Phone: |
(702) 895-5175 |
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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% |
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Three tests |
25% each, total 75% |
|
Total |
100 |
Final course grades will be assigned as follows:
|
A |
95-100 |
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A- |
90-94 |
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B+ |
85-89 |
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B |
80-84 |
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C+ |
75-79 |
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C |
70-74 |
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D |
60-69 |
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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
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SECTION(S) COVERED
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|
1 |
Wednesday Jan 18 |
CLASS BEGINS
5.1 |
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2 |
Monday Jan 23 |
5.2 |
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Wednesday
Jan 25 |
5.3 |
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3 |
Monday
Jan 30 |
5.4 |
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Wednesday
Feb 1 |
5.5 |
|
4 |
Monday
Feb 6 |
5.6 |
|
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Wednesday
Feb 8 |
5.9 |
|
5 |
Monday
Feb 13 |
5.10 |
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Wednesday
Feb 15 |
5.11 |
|
6 |
Monday
Feb 20 |
Washington’s Birthday
Recess |
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Wednesday
Feb 22 |
TEST I |
|
7 |
Monday
Feb 27 |
11.1 |
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Wednesday
Mar 1 |
11.2 |
|
8 |
Monday
Mar 6 |
11.3 |
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Wednesday
Mar 8 |
11.4 |
|
9 |
Monday
Mar 13 |
11.5 |
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Wednesday
Mar 15 |
12.1 |
|
10 |
Monday
Mar 20 |
12.2 |
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Wednesday
Mar 22 |
12.3 |
|
11 |
Monday
Mar 27 |
12.4 |
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Wednesday
Mar 29 |
TEST II |
|
12 |
Monday
Apr 3 |
8.1 |
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Wednesday
Apr 5 |
8.2 |
|
13 |
Monday
Apr 10 |
Spring Break |
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Wednesday
Apr 12 |
|
14 |
Monday
Apr 17 |
8.5 |
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Wednesday
Apr 19 |
8.6 |
|
15 |
Monday
Apr 24 |
10.1, 10.2 |
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Wednesday
Apr 26 |
10.2, 10.3 |
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16 |
Monday
May 1 |
10.3, 10.4 |
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Wednesday
May 3 |
REVIEW |
|
17 |
Wednesday
May 8 |
6:00pm-8:00pm
TEST III |
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