Course Syllabus Math 4250
The Theory of Calculus

Fall Semester, 2007

Meeting times:

Tuesday and Thursday: 13:00 - 14:25


Kirksey Old Main, Room 202.


Jan Zijlstra, Ph.D.

Office :
e-mail /Phone/Fax:
Web Ma

Kirksey Old Main 257     (615) 898-2691/5422

Office Hours:

Monday through Thursday  9:00 - 11:30.
All other times by appointment, please.

Prerequisites: Foundations of Higher Mathematics, Math 3460, must have been completed with a grade of C or better prior to taking this course.
Note: Contact your instructor immediately if these requirements have not been met.
Text: Understanding Analysis, by Stephen D. Abbott. Springer-Verlag, 2001. Hardcover, 257 pp., $39.95. ISBN 0-387-95060-5.
Calculator: A Texas Instruments TI 83/84 Plus calculator is required for this course.
Purpose: The purpose of this course is to provide the student with a solid theoretical foundation for the understanding of the differnetial and integral calculus.  
Objectives: Upon completion of this course, students will have a thorough understanding and a facility of application of the standard topics in an undergraduate analysis course, including:
  • The topology of the real line
  • sequences and series of real numbers
  • Limits and Continuity of Functions
  • The Derivative Function
  • Sequences and Series of (Real Valued-) Functions
  • The Riemann Integral

If time permits, we'll look at the Generalized Riemann Integral and Fourier Series.

Main topics: This course material consists of selected topics from Chapters 1 through 8 from the text and supplementary materials.
Grading : Approximately 6 Labs       : 30 - 50 points each
Approximately 2 Exams     :  100 points each
Comprehensive Final Exam :   150 points

The exams are in-class and consist of open questions, reflective of homework and lab assignments.

The comprehensive final exam covers the materials from the tests as well as concepts from homework and labs.  

Grading Scale: A: 100-90, B+: 89-87, B:86-83, B-: 82-80, C+: 79-77, C:76-73, C-: 72-70, D+: 69-67, D:66-63, D-: 62-60, F: < 60 points.
Absences: Lab assignments that are handed in late will not be graded.  Please inform your instructor in advance of any absences.
Tests can be made up only with a Valid University Excuse, see Student Handbook for details.
  • If you have a disability that may require assistance or accomodation, or you have questions related to accomodations for testing, note-takers, readers, etc., please contact me as soon as possible. You may also contact the Office of Disabled Student Services (898-2783) with questions about such services.
  • To retain Tennessee Education Lottery Scholarship eligibility, you must earn a cumulative TELS GPA of 2.75 after 24 attempted hours and a cumulative TELS GPA of 3.0 thereafter. A grade of C, D, F, or I in this class may negatively impact TELS eligibility. Dropping a class after 14 days may also impact eligibility. If you withdraw from this class and it results in an enrollment status of less than full time, you may lose eligibility for your lottery scholarship. For additional lottery scholarship rules please refer to your Lottery Statement of Understanding form, review lottery scholarship requirements on the web at, or contact the MTSU financial aid office at 898-2830.
August 27: First day of class.
September 3: Labor day Holiday
September 9: Last day to drop with a class without a grade
October 13 - 16: Fall Break
October 14: Last day to drop with a 'W'. No 'W' will be granted after this date.
Final Exam:Thursday, December 13, 13:00 - 15:00