Instructor Office: 694 PGHTeaching Assistant: Kadir Abdul
Office Hours: Tue, Thu 2-3, or by appointment
Phone Number: (713) 743-3492
E-mail address: dlabate@math.uh.edu
Homepage: http://www.math.uh.edu/~dlabate
Tutoring Hours: MW 2-3pm (teams) or by appointment2. Goals and Objectives:
E-mail address: mkadir2@uh.edu
The course is the first part of a 2-course sequence in Linear Algebra. This topic is rich in applications within mathematics and many other disciplines, including engineering, computer science, statistics and economics. This is potentially the most foundational and important undergraduate mathematics course you will complete. This course is also important to bridge the gap between practical computations and abstract reasoning. Some of the key concepts introduced in this course include vector spaces, linear dependence/independence, matrix operations, and linear transformations.2. Prerequisites::
Math 2331 or equivalent, and at least 3 hours of 3000 level mathematics.3. Textbook: Linear Algebra, 5th edition, by Friedberg, Insel, Spence. ISBN: 9780134860244
Lecture Notes: My lectures will be supported by typesd lecture notes that follow the content of the textbook. The lectures notes will be updated during the semester:01 Preliminaries
Additional lecture notes
02 Vector Spaces and Subspaces
03 Linear Dependence/Independence and Vector Bases (also annotated notes)
04 Linear Transformations
05 Composition, Invertibility and Changes of Coordinates
06 Matrices and Linear Systems of Equations
07 Determinants
08 Eigenvalues and Eigenvectors
Vector Spaces
Subspaces
The materials provided by the instructor in this course are for the use of the students enrolled in the course only. Course materials may not be further disseminated without instructor permission. This includes sharing content to commercial course material suppliers such as Course Hero or Chegg. Students are prohibited from sharing materials derived from the instructor’s content including lecture notes, problems and exams
Resources for Set theory. Here are some background notes on set theory: brief note, longer article (by Daniel Ashlock at University of Guelph).5. Topics (estimated 1 lecture per topic) :
The only way to understand and master the material presented in class is by working out the homework problems on your own. You are strongly encouraged to work out the homework problems that are assigned regularly and carefully. Copying the homework or watching someone else doing the work for you will bring you minimal benefit. There will be weekly homework assignments posted at the link below. At the end of the semester, your worst HW score will be dropped. The homework will count 34% towards the final grade.Homework submission and evaluation policy: Every week (unless there is a test) I will administer 2 short quizzes (5-10 min) based on the homework and I will usually not collect the homework (I will tell you in advance if I do). The quiz score will be your homework score.
Quiz policy: The quiz will be adminitered on the homework due date at the end of the lecture, typically between 1:30-1:45. In case you will be forced to miss class on the quiz day, you can submit your homework as a replacement. Unless you could not have predicted you had to miss class, I will only accept the homework submisison as a quiz replacement based on prior arrangements such as students on travel for justified reasons, medical interventions or students with disabilities. I might request proof that your absence was justified. If you submit the homework, it must be a PDF attachment of size less than 5MB and it must be sent to my email adress on the due date no later than 2pm on the due date In all other cases you will receive a 0 score if you miss the quiz.HOMEWORK PROBLEMS:
(The list below will be updated during the semester. Solutions will be posted after quiz collection) Tests. There will be two tests in class counting 66% towards the final grade on FRI JUN 14, MON JUL 1.
Homework 1 - HW1 - DUE: THU 6/6 - Solution.
QUIZ 1 and Solution.
Homework 2 - HW2 - DUE: TUE 6/11 - Solution.
QUIZ 2 and Solution.
Homework 3 - HW3 - DUE: THU 6/13 - Solution.
QUIZ 3 and Solution.
Homework 4 - HW4 - DUE: THU 6/20 - Solution.
QUIZ 4 and Solution.
Homework 5 - HW5 - DUE: WED 6/26 - Solution.
QUIZ 5 and Solution.
Homework 5 extra - Extra practice problems and Solution.
Homework 6 - HW6 - DUE: FRI 6/28 - Solution.
QUIZ 6 and Solution.
Makeup test. Makeup tests will be allowed only for justified and unavoidable absences (e.g., a car accident, a medical or family emergency). In this case, if possible, previous authorization should be obtained from the Instructor. In all other cases, you will receive a zero score for a missed test. All arrangements for make-ups must be made via email.Here are the tests with solutions: (I will post the information for current tests when available)
Test #1 with Solution
Test #2 with Solution
Your final score will depend on the aggregated score of homework/quiz (34%) and the two midterm tests (33%+33%).7. Additional Information:
The grade will be determined according to a set point scale:
A:90%-100%, B:80%-89%, C:70%-79%, D:60-69%; F is less than 60% (+ and - will also be used).