Math 311-Topics in Applied Math I, Summer 2015

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Math 311-Topics in Applied Math I, Summer 2015
Section 101
M-F 10:00 am-11:35 am
Blocker 161
Instructor: Dr. Ke Shi
Office: Blocker 512B
Email: shike@math.tamu.edu . Please put “Math 311” in the subject line of all course related emails.
Course Homepage: http://www.math.tamu.edu/~shike/Teaching/Math%20308%20Spring%202015/
Math_308_Spring_2015.html
Office Hours: MWF 1:00 pm - 2:00 pm and by appointment.
Textbook:
Stephen J. Leon and Susan Jane Colley, Math 311: Custom Edition for Texas A&M
University at College Station, Pearson Learning Solutions, Boston, MA, 2012. ISBN 13: 978-1-256-98369-9.
Departmental Course Webpage: http://www.math.tamu.edu/courses/math311/
Prerequisites:
MATH 221, 251 or 253; MATH 308 or concurrent enrollment, or junior or senior
classification or approval of instructor. Credit will not be given for more than one of MATH 304, MATH
309, MATH 311 and MATH 323.
Course Description Systems of linear equations, matrices, determinants,vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces,orthogonal functions; vector
analysis, including gradient, divergence, curl, line and surface integrals, Gauss’, Green’s and Stokes’ theorems.
Grades:
Assessment
Exam 1
Exam 2
Homework
Points
40%
40%
20%
Date
June 19 (Friday)
July 3 (Friday)
Unless otherwise announced, no calculators etc. will be allowed on any of the exams. Any appeals of
grades on the exams or homework must be made within TWO DAYS of the graded exams being returned
to the class.
Your letter grade will be determined from your total points as follows: A: 90-100%; B: 80-89 %; C:
65-79%; D: 55-64%; F: 0-54%.
Homework: In general there will be two assignments per week (due on Tuesday, Friday). There are
no assigment due on the exam days. I won’t accept unstabled homeworks.
Help sessions: The math department provides help sessions for Math 311. Details will be announced
as they become available at
http://www.math.tamu.edu/courses/helpsessions.html
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Absences: Make-up exams and quizzes will only be allowed for university approved excuses which must
be verified in writing. See http://student-rules.tamu.edu/rule7.htm. As noted in the university attendance
policy, a “University Sponsored Activity” is not automatically an excused absence. A plane ticket is not an
excused absence.
If feasible, University policy requires written notification in advance. Otherwise, two working days are
allowed for notification. Excuses must have some form of written verification such as a doctor’s note.
Occasionally extra time will be required to obtain written verification and the make-up exam or quiz may
be administered before the documentation is produced. Verbal requests do not count as written notification.
If you miss a lecture, you are responsible for obtaining lecture notes from another student. You are also
responsible for determining if any announcements were made.
Americans with Disabilities Act (ADA) notice: “The Americans with Disabilities Act (ADA)
is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with
disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed
a learning environment that provides for reasonable accommodation of their disabilities. If you believe you
have a disability requiring an accommodation, please contact the Department of Student Life, Disability
Services Office, in Room B118 of Cain Hall or call 845-1637.”
Academic integrity: The Aggie Code of Honor is “An Aggie does not lie, cheat, or steal or tolerate
those who do.” For more information, see http://www.tamu.edu/aggiehonor. If you are unsure what is
permitted on an assignment, please ask.
Copyright Policy: All printed materials disseminated in class or on the web are protected by Copyright
laws. One xerox copy (or download from the web) is allowed for personal use. Multiple copies or sale of any
of these materials is strictly prohibited.
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Tentative Schedule
Date
6/2
6/3
6/4
6/5
6/8
6/9
6/10
6/11
6/12
6/15
6/16
6/17
6/18
6/19
6/22
6/23
6/24
6/25
6/26
6/29
6/30
7/1
7/2
7/3
Sections
1.1; 1.2
1.3;1.4
1.4; 1.5
1.5; 2.1
2.2; 3.1
3.1; 3.2
3.2; 3.3
3.3
3.4
3.4; 3.5
3.5; 3.6
4.1
Review
Exam I
4.1; 4.2
6.1; 6.3
5.4; 6.4
8.4; 10.1
10.2
11.1
11.2
11.3
Review
Exam II
Topoc
Linear equations and row reduction
Matrix algebra, basic matrix trick
Matric inversion via row reduction
Elementary matrices, determinants
Properties of determinants, vector spaces
Vector spaces, subspaces, span
Span, linear independence
Linear independence, coordinate vectors
Basis and dimension, coordinate vectors
Change of basis
Row space and column space
Bases, linear transformations
Lineaer transformations and their representations
Change of basis, eigenvalue problems, diagonalization
Inner product spaces, Hermitian matrices
Gradient, divergence, curl, and line integrals
Green’s Theorem
parametrized surfaces
Surface integrals
Stokes’s Theorem and Gauss’s Theorem
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