Math 313 Complex Variables
Spring 2009
MWF 1:00-1:50pm   Hobbs 313
 

Instructor: Dr. Mike Coco
Office: Hobbs 303
Telephone: 544-8366
Email: coco@lynchburg.edu
Homepage: http://coco_m.web.lynchburg.edu
Office Hours: MWF 2-3pm
TR 10-11:30am or by appointment
Textbook: Complex Variables by Murray R. Spiegel
 

COURSE DESCRIPTION
This course examines properties of complex numbers; elementary functions of a complex variable; complex derivatives and analytic functions; mappings; definite and indefinite integrals; Cauchy’s theorem and integral formulas; Taylor and Laurent expansions; singular points and the residue theorem; conformal mapping with applications.

COURSE OBJECTIVES
Upon completion of this course the student will be able to:

COURSE OUTLINE
We will cover most sections from Chapters 1-5.

ATTENDANCE
Attendance will not be taken. However since a lot of material will be covered each day, some of you may find it difficult to pass this course if you do not attend class.

HOMEWORK
Homework will be assigned periodically. Some problems will be collected and graded. These should be written up as neatly and as detailed as possible. Your homework average will make up 20% of your course grade. The remaining problems are for extra practice and are certainly fair game for tests. I suggest you take advantage of these assignments and do as many exercises as possible.

TESTS
There will be three semester tests. Each test will be worth 20% of your final grade. Their tentative dates
are:

Test 1     Friday February 13
Test 2     Friday March 20
Test 3     Friday April 17

Test make-ups will not be given. If you miss a test for a legitimate reason that test will be dropped and the final exam will be counted twice in its place. If you miss a second test for a legitimate reason and are still capable of passing the course special arrangements will be made.

FINAL EXAM
The final exam will be comprehensive, covering the entire content of the course, and will make up 20% of your final grade. Under no circumstances will the final exam be given early.  Make travel plans accordingly.  The scheduled date, time and place of the final are:      Monday  May 11  2pm  Hobbs 313.
 

GRADING
Course grades will be assigned using a 10-point scale. That is,

A 90-100
B 80-90
C 70-80
D 60-70
F 0-60
Your grade will be calculated by a straight average of your test grades, quiz average and your final exam.

IMPORTANT DATES
Important dates for this semester can be found in the academic calendar.

QUALITY OF WORK
In general, it is difficult to do Math neatly in pen since it is not possible to erase mistakes. I strongly suggest doing most of your work in pencil, or that you, at least, always have a pencil with you in class. Any work turned in to me (i.e. homework, tests, etc.) must be done neatly.

SPECIAL NEEDS
Lynchburg College is committed to providing all students equal access to learning opportunities.  The Support Services office, located in Academic & Career Services on the second floor of Hall Campus Center, is the campus office that works with students who have disabilities to provide and/or arrange reasonable accommodations.  Students registered with Support Services, who have a letter requesting accommodations, are encouraged to contact the instructor as early as possible in the semester -- accommodations are not retroactive.  Students who have, or think they may have, a disability (e.g. attentional, learning, vision, hearing, physical, or psychiatric), are invited to contact the Support Services Coordinator for a confidential discussion.  Call 434-544-8687 or e-mail the Coordinator at Arnold.sm@lynchburg.edu.  Additional information is available at the Lynchburg College Disability Support Services website:  http://www.lynchburg.edu/disabilityservices.xml.

TEACHER LICENSURE OBJECTIVES

  1. Understanding of the core knowledge base of concepts and procedures within the discipline of mathematics, including the following strands: number systems and number theory; geometry and measurement; analytic geometry; statistics and probability; functions and algebra; calculus; and discrete mathematics;
  2. Understanding of the sequential nature of mathematics and the mathematical structures inherent in the content strands;
  3.  Understanding of the connections among mathematical concepts and procedures and their practical applications;
  4. Understanding of and the ability to use the four processes -- becoming mathematical problem solvers, reasoning mathematically, and making mathematical connections -- at different levels of complexity; 
  5. Understanding of the history of mathematics, including the contributions of different individuals and cultures toward the development of mathematics and the role of mathematics in culture and society; 
  6. Understanding of major current curriculum studies and trends in mathematics; 
  7. Understanding of the role of technology and the ability to use graphing utilities and computers in the teaching and learning of mathematics;