Summer 2021
(Disclaimer: Be advised that some information on this page may not be current due to course scheduling changes.
Please view either the UH Class Schedule page or your Class schedule in myUH for the most current/updated information.)
Mini Session: (5/17—6/05) , Session #1: (6/07—8/13) , Session #2: (6/07—7/08) , Session #3: (6/07—7/27) , Session #4: (7/12—8/11)
GRADUATE COURSES  SUMMER 2021
Course  Section  Course Title & Session  Course Day & Time  Rm #  Instructor 
Math 4364  16025  Intro. to Scientific Computing (Session #3) 
Online  Online  T. Pan 
Math 4377 / Math 6308  10482  Advanced Linear Algebra I (Session #2) 
MTWThF, 2—4PM  Online  M. Kalantar 
Math 4378 / Math 6309  11498  Advanced Linear Algebra II (Session #4) 
MTWThF, 10AM—Noon  Online  A. Haynes 
Math 4389  14828 
Survey of Undergraduate Math 
MTWThF, 10AM—Noon  Online  D. Blecher 
Course  Section  Course Title  Course Day & Time  Instructor 
Math 5310  14822  History of Mathematics (Session #1) 
(online)  S. Ji 
Math 5341  15228  Mathematical Modeling (Session #2) 
(online)  J. He 
Math 5383  18222  Number Theory (Session #2) 
(online)  M. Ru 
Math 5389  13307  Survey of Mathematics (Session #2) 
(online)  G. Etgen 
Course  Section  Course Title  Course Day & Time  Rm #  Instructor 
Math 6308 
16183  Advanced Linear Algebra I (Session #2) 
MTWThF, 2—4PM  (online)  M. Kalantar 
Math 6309 
16184  Advanced Linear Algebra II (Session #4) 
MTWThF, 10AM—Noon  (online)  A. Haynes 
Math 6386 
15688  Big Data Analytics (Session #3) 
Fr, 3—5PM  (online)  D. Shastri 
Course Details
SENIOR UNDERGRADUATE COURSES
Math 4364 (16025)  Intro. to Scientific Computing


Prerequisites:  MATH 3331 or MATH 3321 
Text(s):  Numerical Analysis (9th edition), by R.L. Burden and J.D. Faires, BrooksCole Publishers. ISBN: 9780538733519 
Description:  Root finding, interpolation and approximation, numerical differentiation and integration, numerical linear algebra, numerical methods for differential equations 
<
Math 4377 (10482) Advanced Linear Algebra I


Prerequisites:  MATH 2331 and MATH 3325, and three additional hours of 30004000 level Mathematics. 
Text(s):  Linear Algebra, 5th Edition by Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence. ISBN: 9780134860244 
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 (11498)  Advanced Linear Algebra II


Prerequisites:  Math 4377 or Math 6308 
Text(s):  Linear Algebra, 5th edition, by Friedberg, Insel, and Spence, ISBN: 9780134860244 
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 (14828)  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 (14822)  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 5341 (15228)  Mathematical Modeling


Prerequisites:  Graduate standing. Calculus III and Linear Algebra 
Text(s): 
Textbooks: (free download)

Description: 
Course Platforms: MS Teams and Blackboard. Course Technology Requirements: Computer, internet, microphone and webcam. Course Overview: The course is divided into two parts. Part I introduces vectors, matrices, and least squares methods, related topics on applied linear algebra that are behind modern data science and other applications, including document classification, prediction model from data, enhanced images, control, state estimation, and portfolio optimization. We will quickly review Part I.1 Vectors and I.2 Matrices in the first two weeks, and then focus on Part I.3 Least Squares and more advanced examples and applications in the following two and half weeks. Part II aims to use Chebfun, an opensource MATLAB package, to explore ODEs and bring new perspectives and insights on topics that are ubiquitous in advanced applications, including heat conduction, chemical reactions, chaos, population dynamics, deformations of a beam, radioactivity, bifurcation theory, stability theory, infectious diseases, nerve signals, vibrations, dynamics of networks, ballistics, planetary dynamics.

<< back to top >>
MATH 5383 (18222)  Number Theory


Prerequisites:  Graduate standing. 
Text(s):  TBA 
Description:  TBA 
<< back to top >>
MATH 5389 (13307)  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 >>
Prerequisites:  Graduate standing. MATH 2331 and MATH 3325, and three additional hours of 30004000 level Mathematics. 
Text(s):  Linear Algebra, 5th Edition by Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence. ISBN: 9780134860244 
Description: 
Syllabus: Chapter 1, Chapter 2, Chapter 3, Chapter 4 (4.14.4), Chapter 5 (5.15.2) (probably not covered) 
<< back to top >>
Prerequisites:  Graduate standing. Math 4377 or Math 6308 
Text(s):  Linear Algebra, 5th edition, by Friedberg, Insel, and Spence, ISBN: 9780134860244 
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 6386 (15688)  Big Data Analytics


Prerequisites:  Graduate standing. Students must be in the Statistics and Data Science, MS program 
Text(s):  TBA 
Description: 
TBA 