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Fall 2009 MAT401.01 MWF 1:30

MAT401 Mathematics Seminar

Kevin J. Carlin
Office:  Fo 113 M-F 2:30-4:00
Telephone: 7563
E-mail: kcarlin@assumption.edu

Text

Brown and Churchill, Complex Variables and Applications, eighth edition, McGraw-Hill, 2009.

Electronic Devices

Calculators may not be used in this course. A cell phone or other electronic communication device may not be used as a watch, a calculator, or for any other purpose. They must be put away and completely deactivated during class.

Topics

Complex numbers: arithmetic, complex conjugates, modulus, polar form, de Moivre’s formula, complex roots, neighborhoods, open and closed sets.

Complex functions: limits and continuity, derivatives, Cauchy-Riemann equations, analytic functions, harmonic functions, exponential and logarithmic functions, general exponents.

Integrals: arcs and contours, contour integrals, Cauchy’s theorem, simply and multiply connected domains, Cauchy’s integral formula, Morera’s theorem, Liouville’s theorem, the fundamental theorem of algebra.

Grading

There will be a midterm exam (October 16) and a final exam. Homework will be collected weekly. Your final grade will be based on 500 points:

Presentations200
Homework100
Midterm exam 100
Final exam 100
500

Exam grades are based on partial credit and will be scaled. Typically, the scale is A- = 75%, B- = 60%, C- = 50%, D- = 35%.

Make-up of any graded work due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my discretion. Unexcused absence from any exam will result in a failing grade for the course.

 

 

Learning Objectives

Course Description

MAT 401 Mathematics Seminar
The topic is determined by the instructor. Emphasis is placed on student oral presentations. Required course for senior mathematics majors.

Academic Honesty Policy

The college's academic honesty policy will be enforced as described in the Student Academic Honesty Policy booklet. The use of a calculator or any electronic communication device is a violation of this policy.

College ADA Policy

Assumption College provides accommodation to any student with documented disabilities. If you believe that you are entitled to accommodation, please contact the Director of Disability Services (ext. 7500).

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Last modified August 11, 2009