Math 3100 - Sequences and Series

Aderhold 412 - M-W-F

Dr. John Gosselin - GSRC 328A

Phone 542-2594

e-mail john@math.uga.edu

Office Hours - MWR - 9 - 11 a.m. and by appointment

Text - Notes by Dr. Malcolm Adams

Grading Policy:

  • 3 Hour Exams - 45%
  • In-class Quizzes - 20%
  • Final Exam - 20%
  • In-class Presentations - 15%

This image of a coneflower is related to the famous Fibonacci sequence. To learn more about this famous sequence click here.


Purpose and Goals of Math 3100

Math 3100 is designed as an in-depth study of sequences and series. This course is a transition course between lower level courses that are primarily computational and upper level courses that are more theoretical. This course has a nice blend between computation and theory. In this course you will begin writing "proofs" of why certain results are true. Sequences and series deal with infinite sets of numbers. In order to know that a particular result is valid for an infinite set of numbers, it does not suffice to verify the result for a finite number of cases. Consequently new methods are developed to prove that a particular result holds for infinite sets.

 

For many students learning to write proofs is a challenging task. You should approach this course with an open mind and with the attitude that this course will be different than many of the earlier math courses you have had. It is advantageous to work with fellow students in the class and to exchange ideas with fellow classmates. As you exchange ideas with fellow classmates or with me, do not be satisfied with merely getting a particular fact or piece of knowledge. Instead you should be checking that you understand why the particular result holds. Upon successful completion of this course, your mathematical maturity should increase considerably. This will make future upper level courses less difficult.

 

Students are encouraged to come to my office for help at any time that is convenient for both of us. Communication with me and fellow classmates through e-mail is also strongly encouraged.


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