Senior and Graduate Math Course Offerings 2010 Summer
Senior undergraduate courses
Math 4377 - Section: 13214 - Advanced Linear Algebra (6/1/2010 - 7/3/2010) - by Ru
MATH 4377: Advanced Linear Algebra (section# 13214 )
Time:
MoTuWeTh 10:00AM - 12:00PM - Room: SEC 201
Instructor:
Ru
Prerequisites:
Math 2331 and minimum 3 hours of 3000 level mathematics.
Text(s):
Linear Algebra, 4th edition, by Friedberg, Insel, and Spence, ISBN
0-13-008451-4
Description:
Instructor will cover up to Chapter 4 (determinant).
Topics covered include linear systems of equations, vector spaces, linear transformation, and matrices.
Math 4378 - Section: 17680 - Advanced Linear Algebra II (7/6/2010 - 8/12/2010 ) - by Josic
MATH 4378: Advanced Linear Algebra II (section# 17680)
Time:
MoTuWeTh 10:00AM - 12:00PM - Room: AH 301
Instructor:
Josic
Prerequisites:
Math 4377
Text(s):
Linear Algebra, 4th edition, by Friedberg, Insel, and Spence, ISBN 0-13-008451-4
Description:
Similarity of matrices, diagonalization, Hermitian and positive definite matrices, normal matrices, and canonical forms, with applications.
Graduate online courses
Math 5333 - section: 13224 - Analysis (6/1/2010 - 7/3/2010) - by Etgen
MATH 5333: Analysis (section# 13224)
Time:
Online course
Instructor:
Etgen
Prerequisites:
Consent of instructor
Text(s):
ANALYSIS by Steven R. Lay, Pearson Higher Education - publishers
General info:
A survey of the concepts of limit, continuity, differentiation and integration for functions of one variable.
Math 5336 - section: 14380 - Discrete Mathematics (6/1/2010 - 7/3/2010) - by Kaiser
MATH 5336: Discrete Mathematics (section# 14380)
Time:
Online course
Instructor:
Kaiser
Prerequisites:
Admitted to the MAM program
Text(s):
Discrete Mathematics and Its Applications, Kenneth H. Rosen, sixth edition, McGraw Hill, ISBN-13 978-0-07-288008-3,
ISBN-10 0-07-288008-2
Plus: lecture notes on the Zermelo-Fraenkel Axioms and Equivalence of Sets.
General info:
Logic and Proofs, Sets and Functions, Relations, The Zermelo Fraenkel Axioms; Equivalence of Sets
Math 5382 - Section: 24960 - Probability (6/1/2010 - 8/12/2010) - by Peters
MATH 5382: Probability (section# 24960)
Time:
Online course
Instructor:
Peters
Prerequisites:
Text(s):
Description:
Math 5397 - section: 24988 - Modern Geometry (6/1/2010 - 8/12/2010) - by Hollyer
MATH 5397: Modern Geometry (section# 24988)
Time:
Online course
Instructor:
Hollyer
Prerequisites:
graduate standing
Text(s):
College Geometry, A Discovery Approach, 2nd edition
By David C. Kay
ISBN 0-321-04624-2
General info:
An axiomatic approach to finite geometries, Hyperbolic Geometry, Spherical Geometry, and Euclidean Geometry. A rather formal approach stressing definitions and deductive proofs.
Math 5397 - Section: 24984 - History of Mathematics ( 6/1/2010 - 7/3/2010 ) - by Ji
MATH 5397: Selected Topics in Mathematics(section# 24984)
- History of Mathematics -
Time:
Online course
Instructor:
Shanyu Ji
Prerequisites:
Graduate standing.
Text(s):
Victor Katz, A History of Mathematics: An Introduction, 3rd (or 2nd Ed.), Addison-Wesley, 2009 (or 1998), and lecture notes.
Description:
This course is designed to provide a college-level experience in history of mathematics. Students will understand some critical historical mathematics events, such as creation of classical Greek mathematics, and development of calculus; recognize notable mathematicians and the impact of their discoveries, such as Fermat, Descartes, Newton and Leibniz, Euler and Gauss; understand the development of certain mathematical topics, such as Pythagoras theorem, the real number theory and calculus.
Aims of the course: To help students
to understand the history of mathematics;
to attain an orientation in the history and philosophy of mathematics;
to gain an appreciation for our ancestor's effort and great contribution;
to gain an appreciation for the current state of mathematics;
to obtain inspiration for mathematical education,
and to obtain inspiration for further development of mathematics.
On-line course is taught through Blackboard Vista, visit http://www.uh.edu/webct/ for information on obtaining ID and password.
The course will be based on my notes. The textbook is used for extra reading, do homework or do project.
In each week, from Monday to Thursday, two chapters of my notes will be posted per day in Blackboard Vista. Daily homework and reading assignment may be posted in Blackboard Vista, including projects(essays).
In each week, turn all your homework once by Sunday midnight through Blackboard Vista.
All homework, essays or exam paper, handwriting or typed, should be turned into PDF files and be submitted through Blackboard Vista. (In case you are in the campus, you could submit directly to my mailbox in the math department).
There is one final exam in multiple choice.
Grading: 30% homework, 50% projects, 20 % Final exam.
Graduate Courses
Math 6397 - section: 24959 - Logic with Applications (6/1/2010 - 7/3/2010) - by Kaiser
MATH 6397 Logic with Applications (section# 24959)
Time:
MoTuWeTh 12:00PM - 2:00PM - Room: PGH 345
Instructor:
Kaiser
Prerequisites:
Graduate standing
Text(s):
Logic for Applications, by Anil Nerode and Richard A. Shore, Second Edition, Graduate Texts in Computer Science, Springer Verlag. (ISBN
0-387-94893-7)
Description:
Propositional Logic, Predicate Logic (Chapter I, 1-6; Chapter II, 1-8). If time permits: Ultraproducts of Relational Systems.
Math 6397 - section: 24986 - Fourier Series and Faster Fourier Transformation
(7/6/2010 - 8/12/2010 ) - Papadakis
MATH 6397: Fourier Series and Faster Fourier Transformation (section# 24986)
Time:
MoTuWeTh 12:00PM - 2:00PM - Room: PGH 348
Instructor:
Papadakis
Prerequisites:
Math 4332 and 4378 or 4355. However, to fully benefit from this
course you must have attended either Math 6320-21 or Applicable Analysis. Those who have a more applied background though can still attend the course.
Text(s):
C.L. Epstein, Introduction to the Mathematics of Medical Imaging, 2nd
Edition, SIAM.
Description:
The integral Fourier transform in one and many
dimensions, Inversion of the Fourier transform, Square-integrable functions and
the Fourier transform, convolution, and linear shift-invariant filters,
convolution and regularity, the Dirac-delta function. X-ray tomography and the
Fourier slice theorem. Fourier series, the Fourier series of square-integrable
functions, the pointwise convergence of Fourier series, Nyquist sampling, digital
filters, theory and basic implementation, Magnetic Resonance Imaging as an
application of Fourier transform.