Text: Witold A. J. Kosmala, A Friendly Introduction to Analysis, Pearson, Prentice Hall, Upper Saddle River, NJ 07458.
Meeting Time and Room:
Monday, Wednesday, and Friday, PERIOD 4 in LITTLE 127.
Office Hours during final exam period: Monday April 30 and Tuesday May 1, 1:30 - 3:30 both days.
Prerequisite:
Advanced Calculus 1 (MAA5104 or MAA 4102).
Course Content:
We will cover sections 5.4, 5.5, 6.1 - 6.5, 7.1 -7.4, and 8.1 - 8.6 of the text. Topics include the Riemann integral, infinite series, sequences and series of functions, and uniform convergence.
Goal of the Course:
The primary goal of the course is to obtain a sound understanding of the basic mathematical concepts of calculus. A secondary goal is to improve the ability to reason carefully and creatively when dealing with mathematical material.
Grading:
- 200 Total Points
Three 30-point Quizzes: 90 One 50-point Midterm Exam: 50 One 60-point Final Exam: 60
A: 180-200 A-: 175-179 B+: 170-174 B: 160-169 B-: 155-159 C+: 150-154 C: 140-149 C-: 130-139 PLEASE READ THE UF STUDENT HONOR CODE
Here is information on UF grading policies.
Notes:
Daily class attendance is expected. In addition, you should plan to spend at least several hours each day studying and working assignments. This will help prepare you for the quizzes and exams.
You will not be permitted to use calculators, notes or books for the quizzes or exams.
There is no opportunity to do extra work or retake a quiz or exam to raise your grade. So if you want to do well in the class, you must keep up, and be prepared for each quiz and exam.
Any student who would like to request an accomodation because of a disability should first register with the Dean of Students Office. The Dean of Students Office will provide the student with documentation. This documentation should be provided by the student to the instructor when requesting an accomodation.
Assignments:
The assignments will be added here, as the course progresses. These assignments will not be turned in for a grade. Students are expected to do the assignments as part of the preparation for quizzes and exams.
Section 5.4, Page 216 - 218, # 2 (all parts), 4, 9, 20 (all parts).
Section 5.5, Page 225 - 227, # 1 (all parts), 11, 14.
Section 6.1, Page 245 - 246, # 3, 4, 5, 6, 10.
Section 6.2, Page 249 - 250, # 4, 7, 8, 10 (all parts), 14.
Section 6.3, Page 254 - 255, # 2, 5 (both parts), 6.
Section 6.4, Page 262 - 263, # 6 (all parts), 7 (parts a, b, e, k), 8, and 10 (all parts).
Section 6.5, Page 271 - 272, # 9 (parts a, b, c, f, k), 10 (parts a, b, c, d, e, f), 11 (parts a and b), 12, 14.
Section 7.1, Page 300 - 301, # 1, 4, 8, and 9 (all parts of each).
Section 7.2, Page 309 - 311, # 1, 8, and 15 (all parts of each).
Section 7.3, Page 316, # 7 and 10 (all parts of each).
Section 7.4, Page 323, # 6 (all parts) and # 11.
Section 8.1 and 8.2, Page 323, # 1 parts a through j.
In each part answer the following two questions and justify your answers.
(i) Does the sequence of functions converge pointwise? If yes, find the pointwise limit.
(ii) Does the sequence of functions converge uniformly?
Section 8.4, Page 356 - 357, # 1 (all parts) and # 8.
Section 8.5, Page 366 - 367, # 3 (parts a, b, c, e, f, g) and # 7.
Exam Dates:
Quiz 1, Wednesday, February 8. Quiz 1 will be based on the assignments above for sections 5.4, 5.5, 6.1, 6.2, and 6.3. Quiz 2, Wednesday, April 4. Quiz 2 will be based on the assignments above for sections 7.1, 7.2, 7.3 and 7.4. Midterm Exam, Wednesday, February 29. Here is a study guide for the Midterm Exam.
Here is a sample Midterm Exam.
Quiz 3, Friday, April 20. Quiz 3 will be based on the assignments above for sections 8.1, 8.2, and 8.4. Final Exam:
The Final Exam will be given as follows.
Wednesday, May 2, 12:30PM - 2:30PM in LITTLE 127.Here is a study guide for the Final Exam.
Here is a Sample Final Exam.
Here is a Sample Final Exam With Solutions.
Office Hours during final exam period: Monday April 30 and Tuesday May 1, 1:30 - 3:30 both days.