Summer 2019
GRADUATE COURSE SUMMER 2019
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  01  11151  Advanced Linear Algebra I (Session #2: 06/03—07/03) 
MTWThF, 10am—Noon  SEC 105  A. Haynes 
Math 4378  01  12367  Advanced Linear Algebra II (Session #4:07/08—08/07) 
MTWThF, 10am—Noon  F 162  A. Török 
Math 4389  03  16578 
Survey of Undergraduate Math 
MTWThF, 10am—Noon  SEC 203  D. Blecher 
Course  Section  Course Title  Course Day & Time  Instructor 
Math 5310  16560  History of Mathematics (Session #4: 07/08—08/07) 
(online)  S. Ji 
Math 5336  11662  Discrete Mathematics (Session #2: 06/03—07/03) 
(online)  K. Kaiser 
Math 5341  17811  Mathematical Modeling (Session #4: 07/08—08/07) 
(online)  J. Morgan 
Math 5382  14092  Probability (Regular Session: 06/03—07/24) 
(online)  J. West 
Math 5389  14463  Survey of Mathematics (Session #2: 06/03—07/03) 
(online)  G. Etgen 
GRADUATE COURSES (under construction)
Course  Section  Course Title  Course Day & Time  Rm #  Instructor 
Math xxxx 
TBD  TBD (TBD) 
TBD, TBD  TBD  TBA 
Course Details
SENIOR UNDERGRADUATE COURSES
Math 4377  Advanced Linear Algebra I


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 (4.14.4), Chapter 5 (5.15.2) (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. 
<< back to top >>
Math 4378  Advanced Linear Algebra II


Prerequisites:  Math 4377 or Math 6308 
Text(s):  Linear Algebra, 4th edition, by Friedberg, Insel, and Spence, ISBN 0130084514 
Description:  The instructor will cover Sections 57 of the textbook. Topics include: Eigenvalues/Eigenvectors, CayleyHamilton Theorem, Inner Products and Norms, Adjoints of Linear Operators, Normal and SelfAdjoint Operators, Orthogonal and Unitary Operators, Jordan Canonical Form, Minimal Polynomials. 
<< back to top >>
Math 4389  Survey of Undergraduate Math


Prerequisites:  MATH 3330, MATH 3331, MATH 3333, and three hours of 4000level Mathematics. 
Text(s):  Instructors notes 
Description:  A review of some of the most important topics in the undergraduate mathematics curriculum. 
ONLINE GRADUATE COURSES
<< back to top >>
MATH 5310  History of Mathematics


Prerequisites:  Graduate standing 
Text(s):  No textbook is required. 
Description:  This course is designed to provide a collegelevel 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. Online 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 
<< back to top >>
MATH 5336  Discrete Mathematics


Prerequisites:  Graduate standing 
Text(s):  Discrete Mathematics and Its Applications, Kenneth H. Rosen, seventh edition, McGraw Hill, ISBN13 9780072880083, ISBN10 0072880082. Instructor lecture note: Plus: on the ZermeloFraenkel 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): 5.15.3, 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. 
<< back to top >>
MATH 5341 Mathematical Modeling


Prerequisites:  Graduate standing. Three semesters of calculus or consent of instructor. 
Text(s):  TBD 
Description: 
Course Topics:
The syllabus is available at this link. 
<< back to top >>
<< back to top >>
MATH 5382  Probability


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. 
<< back to top >>
<< back to top >>
MATH 5389  Survey of Mathematics


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
<< back to top >>
TBD (TBD) TBD


Prerequisites:  Graduate standing. 
Text(s):  TBD 
Description: 
TBD 