MA  3333, Intermediate Analysis  -  Spring 2022

TuTh 1-2:30pm,  -  Room: F 154

1.    Instructor:  Demetrio Labate
Instructor Office:  694 PGH
Office Hours: TuTh: 11:30-12:30 or by appointment
Phone Number:  513-7443
E-mail address:  dlabate@uh.edu
Homepage:  http://www.math.uh.edu/~dlabate

TA: Ji Shi (E-mail:  jshi24@CougarNet.UH.EDU)
TA tutoring hours: MW 12-1
2. Goals and Objectives:
This is typically the first rigorous theorem/proof-type course taken by undergraduate students and is preparatory to the more advanced mathematics curriculum, especially math courses numbered 3334 and higher. The aim of the course is to teach students mathematical reasoning and the construction of proofs in the environment of Real Numbers. I will not assume any prior knowledge on proofs but I expect studenmts to have a solid background in Calculus and Linear Algebra. During this course, students will develop their ability to think deductively, analyze mathematical statements, and apply mathematical ideas to the solution of new problems. The material covered during the course is centered on the theory underpinning one-dimensional calculus, and includes the concepts of real number system, function, limit, continuity, differential and integral calculus.
Please, notice that the emphasis of this course is on MATHEMATICAL PROOFS rather than calculus-type problems.
3. Textbook:
Analysis with an Introduction to Proof, Fifth Edition, by Steven R. Lay, Prentice-Hall, 2013
 
4. Homework and Examinations:
I encourage you to work the homework assignments regularly and carefully. The only way to learn how to write proofs (and hence truly understand the mathematical concepts involved) is by working on your own, and not by watching someone else doing the work for you. Homework assignemnts will require for you to write simple proofs based on the material of the lectures. You are encouraged to discuss the homework with other students and/or with me or my TA. Eventually, you should be able to work on your own so that you can sove problems in class during a quiz, a test and the final exam.
Every week I will collect the homework and/or administer a short quiz (10 min) based on the homework. The quiz will be administered at the beginning of the lecture and the homework is due date at 2:30pm. No late homework submissions will be accepted. A late or missed HW will receive a 0 score. Homework should be submitted in a "professional" form which allows a grader to read your solutions without unnecessary effort or ambiguity. In particular, your solution should either be typed or handwritten in a neat and legible form; if you submit scanned pages, they should be perfectly legible; submitted pages should be ordered with clear indication of which problem is being solved; if your homework solution consists of more than one page, pages must be stapled. Collected homework that does not satisfy these guidelines might receive up to a 50% penalty in the score. The homework assignments will count 30% towards the final grade.
Note: If there is a quiz and you are unable to take it due to circumstances beyond your control, you can submit your homework (by email) and this will replace your quiz score. If not, you will quiz score will be 0. In this situation where you submit a homework as a replacemenet for the quiz, the homework should be sent no later than 2:30pm on the due date.

HOMEWORK PROBLEMS:

(the list below will be updated during the semester)

Homework 1 - DUE TUE 1/27 - Homework solution.
QUIZ 1 and Solution.
Homework 2 - DUE TUE 2/3 - Solution.
Homework 3 - DUE TUE 2/10 - Solution.
QUIZ 3 and Solution.
Homework 4 - DUE TUE 3/1 - Solution.
QUIZ 4 and Solution.
Homework 5 - DUE TUE 3/8 - Solution.
QUIZ 5 and Solution.
Homework 6 - DUE TUE 3/31 - Solution.
QUIZ 6 and Solution.
Homework 7 - DUE TUE 4/7 - Solution.
QUIZ 7 and Solution.
Homework 8 - DUE 4/14- Solution.
QUIZ 8 and Solution.
Homework 9 - DUE 4/21- Solution.
QUIZ 9 and Solution.
Homework 10 - CANCELLED

There will be three tests in class counting 40% towards the final grade on Tue Feb 15, THu March 10, Tue Apr 19 ). The worst of your 3 tests, will be half-dropped; that is, the 3 tests counts 40% towards the final grade, where the best two tests will count 16% each, the worst one will count 8%.
The final exam counts 30% towards the final grade. This is scheduled on Thu, MAY 12, 2-4pm (the exma will be 2-hour long).
Makeup tests will be allowed for justified and unavoidable absences (e.g., a car accident, a medical or family emergency). In this situation, you need to inform me as soon as possible to arrange for a make up quiz. If you know that you will miss a test/quiz, you need to contact me in advance. All arrangements for make-ups must be made via email. If you miss a test or quiz without justification, you will get a zero score.
Tests with solutions (to be updated during semester):

Test 1 ,    Test 2,    Test 3


 
    Grading:
The grade will be determined according to a set point scale: 90%-100%: A, 80%-89%: B, 70%-79%: C, 60-69% D; F is less than 60% (+ and - will also be used).
 
5. Topics and estimated lectures allocated to each topics:
 
 
 Chapter  Sections Lectures   Topics
3 10-14
 4/5 Preliminaries and Real Numbers
4 16-19
6/7 Sequences
5 20-23 3/4 Limits and Continuity
6 25-28
 3/4
 Differentiation
7 29-31 3/4 Integration

  6. Additional Information - including Information and policies concerning the COVID Pandemic:
 
  Please, regularly consult COVID-19 Updates and Resources by the Provost Office for the most updated information. Here is the current University protocols about COVID reporting and exposure.

COVID-19 Information: Students are encouraged to visit the University's COVID-19 website indicated above for important information including on-campus testing, vaccines, diagnosis and symptom protocols, campus cleaning and safety practices, report forms, and positive cases on campus. Please check the website throughout the semester for updates.

Vaccinations: Data suggests that vaccination remains the best intervention for reliable protection against COVID-19. Students are asked to familiarize themselves with pertinent vaccine information, consult with their health care provider. The University strongly encourages all students, faculty and staff to be vaccinated.

Mask Policy: To reduce the spread of COVID-19, the University strongly encourages everyone (vaccinated or not) to wear face coverings indoors on campus including classrooms for both faculty and students.

Presence in Class: Your presence in class each session means that you: If you are experiencing any COVID-19 symptoms that are not clearly related to a pre-existing medical condition, do not come to class.

Excused Absence Policy Regular class attendance, participation, and engagement in coursework are important contributors to student success. Absences may be excused as provided in the University of Houston Undergraduate Excused Absence Policy for reasons including: medical illness of student or close relative, death of a close family member, legal or government proceeding that a student is obligated to attend, recognized professional and educational activities where the student is presenting, and University-sponsored activity or athletic competition. Under these policies, students with excused absences will be provided with an opportunity to make up any quiz, exam or other work that contributes to the course grade or a satisfactory alternative. Please, whne it is possible, inform the instructor in advance so that appropriate arrangements can be made for the make up evaluation. Please read the full policy for details regarding reasons for excused absences, the approval process, and extended absences at http://catalog.uh.edu/content.php?catoid=36&navoid=13956. Additional policies address absences related to military service, religious holy days, pregnancy and related conditions, and disability.

Reasonable Academic Adjustments/Auxiliary Aids: The University of Houston complies with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, pertaining to the provision of reasonable academic adjustments/auxiliary aids for disabled students. In accordance with Section 504 and ADA guidelines, UH strives to provide reasonable academic adjustments/auxiliary aids to students who request and require them. If you believe that you have a disability requiring an academic adjustments/auxiliary aid, please contact the Justin Dart Jr. Student Accessibility Center (formerly the Justin Dart, Jr. Center for Students with DisABILITIES).

Recording of Class: Students may not record all or part of class, livestream all or part of class, or make/distribute screen captures, without advanced written consent of the instructor. If you have or think you may have a disability such that you need to record class-related activities, please contact the Justin Dart, Jr. Student Accessibility Center. If you have an accommodation to record class-related activities, those recordings may not be shared with any other student, whether in this course or not, or with any other person or on any other platform. Classes may be recorded by the instructor. Students may use instructor’s recordings for their own studying and notetaking. Instructor’s recordings are not authorized to be shared with anyone without the prior written approval of the instructor. Failure to comply with requirements regarding recordings will result in a disciplinary referral to the Dean of Students Office and may result in disciplinary action.

Syllabus Changes: Due to the changing nature of the COVID-19 pandemic, please note that the instructor may need to make modifications to the course syllabus and may do so at any time. Notice of such changes will be announced as quickly as possible through ( specify how students will be notified of changes).

Resources for Online Learning: The University of Houston is committed to student success, and provides information to optimize the online learning experience through our Power-On website. Please visit this website for a comprehensive set of resources, tools, and tips including: obtaining access to the internet, AccessUH, and Blackboard; requesting a laptop through the Laptop Loaner Program; using your smartphone as a webcam; and downloading Microsoft Office 365 at no cost. For questions or assistance contact UHOnline@uh.edu.

UH Email: Please check and use your Cougarnet email for communications related to this course. To access this email, login to your Microsoft 365 account with your Cougarnet credentials.

Webcams: Access to a webcam is required for students participating remotely in this course. Webcams must be turned on ( state when webcams are required to be on and the academic basis for requiring them to be on ). ( Example: Webcams must be turned on during exams to ensure the academic integrity of exam administration.)

Honor Code Statement: Students may be asked to sign an honor code statement as part of their submission of any graded work including but not limited to projects, quizzes, and exams: “ I understand and agree to abide by the provisions in the (select: University of Houston Undergraduate Academic Honesty Policy , University of Houston Graduate Academic Honesty Policy ). I understand that academic honesty is taken very seriously and, in the cases of violations, penalties may include suspension or expulsion from the University of Houston."

Counseling: Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach CAPS (www.uh.edu/caps) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus. http://www.uh.edu/caps/outreach/lets_talk.html

Students with disabilities: Written requests issued by the Office of Disability Services will be honored.