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Algebraic number fields and rings of algebraic integers; arithmetic in algebraic number fields; ideals; unique factorization of ideals; ideal classes and the class group; finiteness of the class number; Minkowski’s theorem; Dirichlet’s unit theorem; quadratic and cyclotomic number fields; splitting of primes in extension fields; Dedekind zeta function and Hecke L-functions; additional topics as time permits |
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Instructor: | Dr. Matthew Young |
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Office Hours: | M: 2-4, F: 9-10 |
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Office: | 225 Milner |
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E-mail: | myoung (at) math dot tamu d0t edu |
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Textbook: | The required textbook is Hecke's Lectures on the Theory of Algebraic
Numbers. |
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Course Syllabus: | We plan to cover as much of the textbook as time
permits |
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Prerequisite: | Math 653 |
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There will be one midterm exam, one final exam,
and various homeworks |
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Midterm Exam |
Final Exam |
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Date/Time |
Due in class, March 6 |
Due on our scheduled final time, May 7, 10AM |
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Your final grade will be determined by the total number of points obtained on exams and homework. Out of 300 total points, each component contributes to your grade as follows: |
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Component |
Points |
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Homework |
100 |
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Midterm exam |
100 |
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Final exam |
100 |
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The following grade distribution will be used in determining final course grades: |
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Grade |
Percentage of Total Points |
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A |
85.0%-100.0% |
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B |
70.0%-84.9% |
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C |
55.0%-70.0% |
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D |
40.0%-54.9% |
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F |
0.0%-39.9% |
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Homework will be collected roughly
once per
week for a grade. |
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Missed Work: | Making up missed work (including missed exams, quizzes, and homework) will be arranged according to University policies only. A university approved excuse must be provided to the instructor in writing (e-mail is sufficient) within 1 working day for exams and within 2 working days for other work. |
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Academic Dishonesty: |
“An Aggie does not lie, cheat, or steal or tolerate those who do.” It is not permissible to hand in the work of others for a grade, including work on exams, quizzes, and homework. You are allowed to discuss homework with others, but your write-ups are expected to be done on your own and in your own words. Copying the work of others will be prosecuted to the full extent possible under University policies. Cheating during an exam will be sanctioned by assigning 0 points on the exam. Further action will be taken in agreement with Texas A&M University Student Rules on Academic Honesty and the Aggie Honor System Code. |
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Disability Assistance: |
The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the Department of Student Life, Disability Services Office, in Room B118 of Cain Hall or call 845-1637. Their website is http://disability.tamu.edu/. If you believe you have a disability requiring accomodation, you should contact this office several weeks in advance of an exam or assignment. |
| Copyright information: | All printed handouts and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor. | |
| Contact information: | Course announcements may
occasionally
be made via e-mail (e.g. in case of a change to office hours or to
correct potential errors in homework problem sets). Students
should regularly check their neo e-mail accounts. |