Math 40970 Mathematical Foundations
Spring 2017, section 055, TR 14:00-15:20 in TUC 243
Instructor: Dr. Igor Prokhorenkov. Office: TUC 311.
Office Hours : Tuesdays and Thursdays 1-2 (I am also available at other times as needed.)
| My Phone | Office: 817-257-6342 (I have voice mail) Home: 817-423-9030. Feel free to call me at home at reasonable times (9:00 am - 9:00 pm). |
Class web page:
Class web page is available at the address
http://faculty.tcu.edu/prokhor/found.html , it contains links to the
syllabus and homework assignments.
Textbook:
Joseph J. Rotman, Journey into mathematics, Dover Publications, Inc.
Prerequisites:
You should have some exposure to proofs by either completing MATH 20123 or
MATH 30224.
Course Description and Goals:
An introduction to writing mathematical proofs, including discussion
of mathematical notation, methods of proof, and strategies for formulating and
communicating mathematical arguments. Topics covered will include:
introduction to rational numbers and proofs of irrationality, complex
numbers, mathematical induction, limits and working with
real numbers, countability and uncountability, polynomials. Additional topics may be discussed according to student interest.
Calculator/Computer:
We will occasionally use a graphing calculator, the computer, and the web
in this class. You will NOT be allowed to use a calculator on
tests. Laptops, iPads, Netbooks, Cell phones, PDA's and iPod-type devices
are not allowed during class, unless they are explicitly used for taking notes.
They must be silent and put away.
Grading:
The final grade for this course will be determined as follows.
| Homework/Quizzes | 25% | |
| Test #1 | 16% | Tue, Feb. 7 |
| Test #2 | 17% | Tue, March 7 |
| Test #3 | 17% | Tue, Apr. 18 |
| Cumulative Final Exam | 25% | Th, May 11, 3-5:30 |
Your weighted course average x determined by your scores and the percentages above will be used to determine the final grade as specified in the table.
|
Note that only undergraduates have the possibility of
the "D" grade. Example of grading calculation:
|
- Homework: assigned on the web site, due at the beginning of each class period. No late homework will be accepted. You may discuss the homework with your classmates, but the paper you turn in should reflect your personal preparation, i.e. direct copying is not permitted. In some cases, the homework may include material that is not covered in the lectures.
- Quizzes: will be given frequently. The quizzes might cover definitions, theorems, proofs, and typical problems that are needed to understand the material. If you miss a quiz due to absence it will count as a zero, except in cases of excused absence
- The last day to withdraw from the class is Monday, April 10. The last day to select P/NC is Tuesday, April 11.
Attendance Policy: The university attendance policy states that regular and punctual class attendance is essential and that no assigned work is excused because of absence, no matter what the cause. Please notify me as soon as possible if you have to miss a class due to an Official University Absence, documented illness, or family emergency, so that I can make arrangements for you to make up your work.
Statement of Disability Services at TCU Texas Christian University complies with the Americans with Disabilities Act and Section 504 of the Rehabilitation Act of 1973 regarding students with disabilities. Eligible students seeking accommodations should contact the Coordinator of Student Disabilities Services in the Center for Academic Services located in Sadler Hall, 1010. Accommodations are not retroactive, therefore, students should contact the Coordinator as soon as possible in the term for which they are seeking accommodations. Further information can be obtained from the Center for Academic Services, TCU Box 297710, Fort Worth, TX 76129, or at (817) 257-6567. Adequate time must be allowed to arrange accommodations and accommodations are not retroactive; therefore, students should contact the Coordinator as soon as possible in the academic term for which they are seeking accommodations. Each eligible student is responsible for presenting relevant, verifiable, professional documentation and/or assessment reports to the Coordinator. Guidelines for documentation may be found at http://www.acs.tcu.edu/disability_documentation.asp. Students with emergency medical information or needing special arrangements in case a building must be evacuated should discuss this information with their instructor/professor as soon as possible.
Academic Misconduct (copied from the Student Handbook): Any act that violates the academic integrity of the institution is considered academic misconduct. The procedures used to resolve suspected acts of academic misconduct are available in the offices of Academic Deans and the Office of Campus Life. Specific examples and more details are in the Student Handbook.
TCU Campus Resources for Students: Many resources exist on the TCU campus that may be helpful to students: Mary Couts Burnet Library (817-257-7117); Center for Academic Services (817-257-7486, Sadler Hall 1010 and 1022); the William L. Adams Writing Center (817-257-7221, 419 Reed Hall); Student Development Services (817-257-7855, BLUU Student Affairs Suite 2003); and TCU Office of Religious and Spiritual Life (817-257-7830, Jarvis Hall 1st floor).