Math 3200 Syllabus   (Fall 2007)

 

Topic:    Introduction to Higher Mathematics                                       Room:   Grad Studies  221

Call Number:   01-654                                                               3rd Period:    10:10-11:10 PM

 

Instructor:    Dr. Robert Rumely                                                        E-mail:    rr@math.uga.edu

               Office:   437 Grad Studies                                                                  (706) 542-2630

               Home:    1081 Twin Lakes Road, Athens, Ga. 30606                         (706) 543-0443

 

Office Hours:   MWF  9:00-10:00 AM;  other times by appointment, gladly.   

 

Text:     Chartrand, Polimeni, and Zhang:  Mathematical Proofs:  A transition to Advanced Mathematics

 

Purpose:   The goal of this course is to prepare you for upper-division mathematics courses,

             where reading and writing proofs is an essential skill.   We will examine the “language”

             used in  proofs, as well as common strategies in proofs (direct proof, contrapositive,

             proof by contradiction, and induction) and “good style” in writing proofs.   In addition,

             we will cover some of the foundations of mathematics:  set theory, logic, equivalence

             relations, functions, and cardinality.

                    I anticipate that the course will cover sections 1-10 of the text.  However, deviations,

             either in adding or eliminating material to be covered, may occur.     

 

Grades:  There will be four hour-long exams (60%), weekly graded homework assignments (15%),  

             and a comprehensive final (25%).    You are expected to pay attention to both correctness

             and clarity in writing up your solutions – grammar and syntax do count. 

                    Typically each assignment will have three types of problems:

·        Problems you should work, but not turn in – some are computational, and some are warm-ups for problems to turn in. 

·        Problems you should turn into the grader  – typically five or six, each week.

·        Problems you will turn in to me – usually one or two, each week.

           Course grades will be targeted for a flat grading scale.             

 

In-class exams:    Exams will be scheduled in consultation with the class.  Two exams will

            be given before the midpoint of the semester (October 4)

 

Final Exam:    Friday, December 14, 8:00-11:00 AM

 

Attendance:    Attendance will be taken starting Wednesday, August 22

             Students with more than  3  unexcused absences may be withdrawn from the class. 

 

Academic Honesty:  The course will operate in accordance with UGA’s academic honesty policy

 (http://www.uga.edu/ovpi)

 

Deviations:  This syllabus provides a general plan for the course;  deviations may be necessary.