Instructor: Professor Pete L. Clark, Ph.D., pete (at) math (dot) uga (dot) edu
Course webpage: http://www.math.uga.edu/~pete/MATH3100F2016.html (i.e., right here)
Office Hours: Boyd 502, TBA
Course Text (required): Sequences and Series, by Professor Malcolm Adams (UGA)
Good news: the text is freely available online! Please
click here to download a
copy.
For information on grades, exams and other procedural matters, please consult the
course syllabus.
OPTIONAL SUPPLEMENTAL TEXT: please stay tuned.
Lecture Notes on Mathematical Induction:
click here
These are supplemental lecture notes on mathematical induction. They were
written for Math 3200.
I think they might be helpful for this course as well, so I have included a link
to them. If you don't find them to be helpful, please feel free to ignore them:
there is no required material here.
COURSE ANNOUNCEMENTS :
Welcome to the course!
HOMEWORK
Assignment 1: Due in class, Friday, August 19, 2016 EXTENDED to Monday, August 22, 2016
To solve: Section 1.1, exercises 5, 6; Section 1.2, exercises 1, 2, 7, 20
To be turned in: Section 1.1, exercises 7, 10; Section 1.2, exercises 3, 5, 9, 12, 14, 17, 19
Optional additional problems: Section 1.2, exercise 25 Comment: There was a version control issue which led to some variant numberings in Section 1.2. Please
feel free to turn in exercises corresponding to these numbers for whatever version you downloaded. In the future, make sure to download
the SANDS_Clark.pdf file.
Assignment 2: Due in class, Monday, August 29, 2016
To solve: Section 1.3, exercises 3, 11, 12, 17, 18
To be turned in: Section 1.3, exercises 4, 6, 7 (Comment: this is called the Reverse Triangle
Inequality. You can prove it using the Triangle Inequality.), 8, 9, 13, 15, 16, 19,
21
Assignment 3: Due in class, Wednesday, September 7, 2016
To solve: Section 1.4, exercises 1-4, 6, 8, 13, 14, 15, 19, 21
To be turned in: Section 1.4, exercises 5, 7, 9, 10, 11, 12, 16, 17, 18, 20
Assignment 4: Due in class, Monday, September 12, 2016
To be turned in: Section 1.4, exercises 23, 24 [If you don't have such exercises, please redownload!]
Section 1.5, exercises 1 [no proofs, just answers], 3 [cf. "Three Sequence Principle"], 4, 5, 6, 9, 10
Assignment 5: Due in class, Monday, September 19, 2016
(Please download a copy dated September 12, 2016 or later.)
To be turned in: Section 1.6, exercises 2, 3, 4, 5, 6, 7
Assignment 6: Due in class, Monday, October 3, 2016
To be turned in: Section 1.7, exercises 2, 3, 4, 7. Section 2.1, exercises 3, 4, 7, 9, 10, 12, 13,
14 (Three Series Principle!), 16
Assignment 7: Due in Class, Monday, October 10, 2016
To be turned in: Section 2.2, exercises 1 [please do any eight parts], 2 [hint: when is x2 ≤ x?],
3 [hint: reversing the green arrow may be helpful here], 4, 7, 8
Assignment 8: Due in Class, Friday, October 14, 2016
To be turned in: Section 2.3, exercises 1, 2, 3, 5, 6
Assignment 9: Due in Class, Monday, October 31, 2016
To solve: Section 2.6, exercises 1-6.
To be turned in: Section 2.6, exercise 1 [any five parts], 2 [any three parts], 3 [either part], 6, 9, 10
Assignment 10: Due in Class, Wednesday, November 9, 2016
Please redownload the course text after October 31 before doing this problem set.
To solve: Section 3.2, exercises 1-6.
Assignment 11: Due in Class, Monday, November 28, 2016
Please redownload the course text after November 13 before doing this problem set.
To Solve: Section 3.3, exercises 1, 2, 3, 7, 8, 9, 10, 11 Extra Credit: Section 3.3, exercise 13
EXAM INFORMATION
Practice Problems For Midterm Exam 1 (NOW WITH SOLUTIONS)
click here