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CALCULUS FROM AN ADVANCED VIEWPOINT
(MATH 6102-090, Spring 2005)

Instructor: Gábor Hetyei
Office: Fretwell 335F, Phone: 867-2543, E-mail: ghetyei@uncc.edu
Office hours: MF 2:00-3:00 pm, W 3:00-4:00 pm, or by appointment.
Text: Elementary Analysis, The Theory of Calculus by Kenneth A. Ross, first Ed., Springer Verlag, Undergraduate Texts in Mathematics, 1980.
Prerequisite: MATH 6101 with a grade of C or better or consent of the department.
Topics:
  • Continuity (Chapter 3, Sections 17-20)
  • Sequences and Series of Functions (Chapter 4, Sections 23-26)
  • Differentiation (Chapter 5, Sections 28, 29, and 31)
  • Integration (Chapter 6, Sections 32-34)
Time permitting, we will cover some of the sections marked with a star (even from Chapter 2). We may follow a different order than the numbering of sections in the book. (For example, Section 26 will probably be discussed only after covering Chapter 5.)
Test dates:
Midterm: Wednesday March 2, 5:00-7:50 pm.
Final Exam: Wednesday May 11 2005, 7:00 pm - 10:00 pm.
(Double-check in the UNCC Exam schedule !)
The final exam will be cumulative, consisting of two parts. The first part will be mandatory, covering only material taught after the midterm. The second half will contain questions reviewing the material taught before the midterm. This part will be optional, if left unanswered, I will substitute your midterm score.
Homework: Homework will be assigned every week, some to be turned in in writing, most will be presented by a randomly selected student in class. Since we meet only once per week, you should be planning on attending all lectures. If you are unable to come to a class, you have to work out in writing and turn in all homework assigned for oral presentation on that day. I will make an effort to regularly post the homework on the webpage
http://www.math.uncc.edu/~ghetyei/courses/6102/hw.html.
In case of discrepancy, what I said in class is "official".
Evaluation: Grades will be based on: 34% for the homework, 33% for the midterm, and 33% for the final (22% for the mandatory part, 11% for the optional part).
Class meeting: W 5:00-7:50 pm in Fret 106.
Homepage: http://www.math.uncc.edu/~ghetyei/courses/6102/index.html