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Introduction to Mathematical Analysis

Math 301 (Fall 2007)
Instructor: Manil Suri
http://www.math.umbc.edu/~suri/math301.html

Click here for homework and recitation problems assigned

Basic Information

  • Manil Suri, Math/Psych 419, (410) 455-2311, suri@math.umbc.edu,
    office hours: MW 1-2 or by appointment
  • Lectures: MW 5:10-7:00 (MP 012)
  • Text: Introduction to Real Analysis by Bartle and Sherbert (3rd edition)
  • Syllabus: Chapters 1-6,11 (some sections excluded)
  • Prerequisites: Math 142 or 152 and Math 221. (Cmsc 203 highly recommended.)

Learning Goals

This course introduces you to proving results (such as some you may have already seen in Calculus) by rigorous mathematical reasoning. The heart of this course is learning how to solve problems by applying such proof techniques. A primary goal is to acquire proficiency in the construction and writing of mathematical proofs. This is the main point on which you will be evaluated. An additional goal is to learnt useful mathematical results in analysis (the second point on which you will be evaluated). The techniques of proof and mathematical results you learn in Math 301 will be required in higher-level mathematics courses you take in the future. Since Math 301 is usually the first course that presents such a rigorous outlook on mathematics, the going can be quite challenging. Therefore, it is necessary to do all the problems you can and participate in class discussions.

Tests and Homework

  • HOMEWORK is an essential part of the course. A few problems from each section will be assigned to be handed in for grading. These will be given in class, and posted on my webpage and the blackboard site as well.

    To do just these problems and no others would ensure a poor grade in the course. You need to attempt ALL problems at the end of each chapter, since they are all different, and any of them could be on a test or exam.

    Homework for sections completed in any given week (M-W) will be due the next Wednesday. On Mondays, the first part of the class will be devoted to discussing problems similar to the ones assigned. ALL HW will be counted - lowest grades will NOT be dropped. However, there will be opportunities for extra credit. Only selected problems from the HW will be graded for credit, but solutions to most of the problems will be handed out.
  • QUIZZES will be given every Wednesday, on the same material that the HW turned in the PREVIOUS WEDNESDAY was based on. They will test whether or not you have absorbed the techniques and results from the HW. The lowest two scores will be dropped.
  • TESTS will be given twice in the semester. The dates will be announced at least 2 weeks in advance.
  • FINAL This will be cumulative. The final will be held on Monday, Dec 17 from 6:00-8:00 pm in the same room as the lectures. All quizzes, tests and the final are closed book.
  • MAKE-UPS for TESTS will only be allowed under emergency circumstances with written documentation and prior approval if possible. If you miss a test, contact me immediately (i.e. on that day) via e-mail (or phone). MAKE-UPS for QUIZZES will not be given, since the lowest two scores are dropped. (If your final grade at the end of the course turns out to hinge on a missed quiz, then suitable accommodation will be made.)

Grading

  • Homework: 20%
  • Quizzes: 24%
  • Tests: 34% (17% each)
  • Final: 22%
  • Cut-offs: A: 90%, B: 80%, C: 65%, D: 55%

Study Suggestion

Since this course is so challenging, I strongly recommend that you prepare in advance for each lecture by reading the next section to be covered from the textbook - even if you do not understand everything, you will have an overview of what to expect in class. Also, at this point, review any previous section which is in the background needed for the new section. Most importantly, start doing the problems at the back immediately after a section has been completed and you have understood the material - don't wait.

Academic Conduct

By enrolling in this course, each student assumes the responsibilities of an active participant in UMBC's scholarly community in which everyone's academic work and behavior are held to the highest standards of honesty. Cheating, fabrication, plagiarism, and helping others to commit these acts are all forms of academic dishonesty, and they are wrong. Academic misconduct could result in disciplinary action that may include, but is not limited to, suspension or dismissal. To read the full Student Academic Conduct Policy, consult the UMBC Student Handbook, the Faculty Handbook, or the UMBC Policies section of the UMBC Directory.