Summer 2018
GRADUATE COURSE SUMMER 2018
This schedule is subject to changes. Please contact the Course Instructor for confirmation
| Course | Section | Course Title & Session | Course Day & Time | Rm # | Instructor |
| Math 4377 | 11286 | Advanced Linear Algebra I (Session #2: 06/04—07/05) |
MTWThF, 10am-Noon | F 154 | K. Kaiser |
| Math 4378 | 12582 | Advanced Linear Algebra II (Session #4:07/09—08/08) |
MTWThF, Noon-2PM | SEC 201 | A. Török |
| Math 4389 | 18279 |
Survey of Undergraduate Math |
MTWThF, 10am-Noon | GAR 201 | D. Blecher |
| Course | Section | Course Title | Course Day & Time | Instructor |
| Math 5310 | 18254 | History of Mathematics (Session #4: 07/09—08/08) |
(online) | S. Ji |
| Math 5336 | 11825 | Discrete Mathematics (Session #2: 06/04—07/05) |
(online) | K. Kaiser |
| Math 5378 | 16257 | Axiomatic Geometry (Session #4: 07/09—08/08) |
(online) | L. Hollyer |
| Math 5382 | 14515 | Probability (Session #3: 06/04—07/25/) |
(online) | C. Peters |
| Math 5383-TBD | TBD | Number Theory-TBD (TBD) |
(online) | TBD |
| Math 5389 | 14931 | Survey of Mathematics (Session #2: 06/04—07/05) |
(online) | G. Etgen |
GRADUATE COURSES (under construction)
| Course | Section | Course Title | Course Day & Time | Rm # | Instructor |
| Math xxxx |
TBD | TBD (TBD) |
TBD, TBD | TBD | TBD |
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SENIOR UNDERGRADUATE COURSES
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Math 4377 - Advanced Linear Algebra I
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| Prerequisites: | |
| Text(s): | Linear Algebra, Fourth Edition by Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence |
| Description: | Syllabus: Chapter 1, Chapter 2, Chapter 3, Chapter 4 (4.1-4.4), Chapter 5 (5.1-5.2) (probably not covered) Course Description: The general theory of Vector Spaces and Linear Transformations will be developed in an axiomatic fashion. Determinants will be covered to study eigenvalues, eigenvectors and diagonalization. Grading: There will be three Tests and the Final. I will take the two highest test scores (60%) and the mandatory final (40%). Tests and the Final are based on homework problems and material covered in class. |
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Math 4378 - Advanced Linear Algebra II
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| Prerequisites: | Math 4377 or Math 6308 |
| Text(s): | Linear Algebra, 4th edition, by Friedberg, Insel, and Spence, ISBN 0-13-008451-4 |
| Description: | The instructor will cover Sections 5-7 of the textbook. Topics include: Eigenvalues/Eigenvectors, Cayley-Hamilton Theorem, Inner Products and Norms, Adjoints of Linear Operators, Normal and Self-Adjoint Operators, Orthogonal and Unitary Operators, Jordan Canonical Form, Minimal Polynomials. |
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Math 4389 - Survey of Undergraduate Math
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| Prerequisites: | MATH 3330, MATH 3331, MATH 3333, and three hours of 4000-level Mathematics. |
| Text(s): | Instructors notes |
| Description: | A review of some of the most important topics in the undergraduate mathematics curriculum. |
ONLINE GRADUATE COURSES
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MATH 5310 - History of Mathematics
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| Prerequisites: | Graduate standing |
| Text(s): | No textbook is required. |
| 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 Learn, visit http://www.uh.edu/webct/ for information on obtaining ID and password. The course will be based on my notes. Homework and Essays assignement are posted in Blackboard Learn. There are four submissions for homework and essays and each of them covers 10 lecture notes. The dates of submission will be announced. All homework and essays, handwriting or typed, should be turned into PDF files and be submitted through Blackboard Learn. Late homework is not acceptable. There is one final exam in multiple choice. Grading: 40% homework, 45% projects, 15 % Final exam |
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MATH 5336 - Discrete Mathematics
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| Prerequisites: | Graduate standing |
| Text(s): | Discrete Mathematics and Its Applications, Kenneth H. Rosen, seventh edition, McGraw Hill, ISBN-13 978-0-07-288008-3, ISBN-10 0-07-288008-2. Instructor lecture note: Plus: on the Zermelo-Fraenkel Axioms and Equivalence of Sets. |
| Description: |
Syllabus: Chapter 1 (Logic and Proofs): 1.1, 1.3, 1.4 -1.6 , Chapter 2 (Sets and Functions), Chapter 5 (Induction): 5.1-5.3, Chapter 9 (Relations) The Zermelo Fraenkel Axioms; Equivalence of Sets in form of my notes. Grading: Midterm is worth 40%, the final is worth 40% and Homework is worth 20%. For turning in Homework, students need to get the software program Scientific Notebook. |
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MATH 5378- Axiomatic Geometry
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| Prerequisites: | Graduate standing |
| Text(s): | College Geometry: A Discovery Approach, David Kay, 2nd. Ed. ISBN:9780321046246 |
| Description: | An axiomatic approach to Finite Geometries, Taxicab Geometry, Spherical Geometry, Hyperbolic Geometry and a review of Euclidean Geometry. Does not apply toward the Master of Science in Mathematics of Applied Mathematics. |
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MATH 5382 - Probability
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| Prerequisites: | Graduate standing and Two semesters of calculus and one semester of linear algebra |
| Text(s): | Probability: With Applications and R | Edition: 1 by Robert P. Dobrow, ISBN: 9781118241257 |
| Description: | Sample spaces, events and axioms of probability; basic discrete and continuous distributions and their relationships; Markov chains, Poisson processes and renewal processes; applications. Applies toward the Master of Arts in Mathematics degree; does not apply toward Master of Science in Mathematics or the Master of Science in Applied Mathematics degrees. |
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MATH 5383 - Number Theory- TBD
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| Prerequisites: | Graduate standing. |
| Text(s): |
Instructor's lecture notes. The reference book will be "Beginning Number Theory" by Neville Robbins, second Edition. |
| Description: |
Number theory is a subject that has interested people for thousand of years. This course is a one-semester long graduate course on number theory. Topics to be covered include divisibility and factorization, linear Diophantine equations, congruences, applications of congruences, solving linear congruences, primes of special forms, the Chinese Remainder Theorem, multiplicative orders, the Euler function, primitive roots, quadratic congruences, and introduction to cryptography . There'll be no specific prerequisites beyond basic algebra and some ability in reading and writing mathematical proofs. |
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MATH 5389 - Survey of Mathematics
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| Prerequisites: | Graduate standing |
| Text(s): | Instructor's notes |
| Description: | A review and consolidation of undergraduate courses in linear algebra, differential equations, analysis, probability, and astract algebra. Students may not receive credit for both MATH 4389 and MATH 5389. |
GRADUATE COURSES
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TBD (TBD) -TBD
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| Prerequisites: | Graduate standing. |
| Text(s): | TBD |
| Description: |
TBD |