A.C. COJOCARU Professor of Mathematics
University of Illinois
Chicago, USA
Scientific Researcher
Institute of Mathematics of Romanian Academy
Bucharest, Romania


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MATH 435 - Fall 2017


Instructor: Prof. A.C. Cojocaru, SEO 415
Teaching Assistant: none

Textbook: ''A concise introduction to the theory of numbers'' by Alan Baker (Cambridge University Press)

Schedule of classes: Monday, Wednesday, Friday, 13-13:50, Tufts Hall, Room 305

Office hours Prof. A.C. Cojocaru: TBA

Additional references:
  • J. Esmonde and M.R. Murty, ''Problems in algebraic number theory''
  • M.R. Murty, ''Problems in analytic number theory''
  • G.H. Hardy and E.M. Wright, ''An introduction to the theory of numbers''
  • K. Ireland and M. Rosen, ''A classical introduction to modern number theory''
  • M.H. Weissman, ``An illustrated theory of numbers"

Quizzes and tests: in class every Friday

Test 1: take home, WEEK 4

Test 2: take home, WEEK 8

Test 3: take home, WEEK 12

Final exam: TBA

Course information and calendar: MATH 435 calendar (TBA)

For more details on important dates, see
http://registrar.uic.edu/current_students/calendars/final_exam_schedule.html
and
http://catalog.uic.edu/ucat/academic-calendar/#2017-2018

Final grade: 20% quizzes, 20% tests, 60% final exam

Sample quizzes, tests, final exams:



Syllabus, homework and tests:

  • Week 1, August 28 - September 1
    Divisibility
    Quiz 1

  • Week 2, September 5 - 8
    Divisibility, linear equations
    Quiz 2

  • Week 3, September 11 - 15
    Primes
    Quiz 3

  • Week 4, September 18 - 22
    Primes
    TEST 1

  • Week 5, September 25 - 29
    Arithmetic functions
    Quiz 4

  • Week 6, October 2 - 6
    Arithmetic functions
    Quiz 5

  • Week 7, October 9 - 13
    Arithmetic functions
    Quiz 6

  • Week 8, October 16 - 20
    Congruences
    TEST 2

  • Week 9, October 23 - 27
    Congruences
    Quiz 7

  • Week 10, October 30 - November 3
    Congruences
    Quiz 8

  • Week 11, November 6 - 10
    Quadratic residues
    Quiz 9

  • Week 12, November 13 - 17
    Quadratic residues
    TEST 3

  • Week 13, November 20 - 24
    Quadratic residues, special topics
    Quiz 10

  • Week 14, November 27 - 29
    Special topics

  • Week 15, December 4 - 8
    Review


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