CRN 22490

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Tiger gotta hunt. Bird gotta fly.
Man gotta sit and wonder why, why, why.
Tiger gotta sleep. Bird gotta land.
Man gotta tell himself he understand.
Kurt Vonnegut Jr.


  • Course: Math 3341 (Introduction to Analysis) - TR 16:30-17:50 in LART 209
  • Instructor: Dr. Helmut Knaust, Bell Hall 124, tel. 747-7002, e-mail:
  • Office Hours: T 15:00-16:20, R 11:00-12:00, or by appointment.
  • Textbook: Edward D. Gaughan, Introduction to Analysis. American Mathematical Society; 5th Revised edition. The textbook is currently on sale at the AMS website.
  • Prerequisites: The course requires a certain level of mathematical maturity that you have gained by having thoroughly and successfully grappled with the concept of infinity in MATH 1312 as well as the basics of logic and proofs in MATH 3325.
  • Course Objectives: Real Analysis is "Calculus with Proofs". You should expect (and I will expect) that you make considerable progress in the following areas:
  1. Become familiar with the fundamental results of "Analysis on the Real Line" (highlights of the course include the Intermediate Value Theorem, the Mean Value Theorem and possibly the Fundamental Theorem of Calculus);
  2. Thoroughly understand the definitions of the basic concepts of Analysis such as convergence, continuity, differentiation and integration;
  3. Continue to develop your ability to use the method of proof to establish these fundamental results.
    Modified Dirichlet function
  4. Be able to recognize a rigorous proof when you read or see one. Conversely, be able to pick out the weak spot(s) in a less rigorous argument. Be able to fill in details in a sketchy proof.
  5. Once you have devised a proof, be able to write it down in a clear, concise manner using correct English and mathematical grammar.
  • Tests: Two exams will be given on Tuesday, March 1 and Thursday, April 14. Each exam counts 25% of your grade.
  • Homework. I will regularly assign written homework. The homework will be graded to account for 20% of your grade.
  • Final Examination: The final exam on Tuesday, May 10, 16:00-18:45, is comprehensive and mandatory. It counts 30% of your grade.
  • Time Requirement: I expect that you spend an absolute minimum of six hours a week outside of class on working on the homework assignments, reading the textbook, and preparing for the next class. Not surprisingly, it has been my experience that there is a strong correlation between class grade and study time.
  • Drop Policy. The class schedule lists Friday, April 1, as the last day to drop with an automatic "W". After the deadline, I can only drop you from the course with a grade of "F". Beginning with the fall 2007 semester, all freshmen enrolled for the first time at any Texas public college or university will be limited to six course withdrawals (drops) during their academic career. Drops include those initiated by students or faculty and withdrawals from courses at other institutions! This policy does not apply to courses dropped prior to census day or to complete withdrawals from the university.
  • Students with Disabilities. If you have a disability and need special accommodation, please contact the Disabled Student Services Office (DSSO) in Union East 106, 747-5148,

Written Homework Assignments

HW 6 | HW 5 | HW 4 | HW 3 | HW 2 | HW 1

Other Stuff

LSAMP Summer Academy | Checking proofs, references, acknowledgments, and Greek letters | Polya's How To Solve It

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