Basic Algebra 235 Fall 2002
Instructor:
Alexei Miasnikov
Office:
915 Burnside Hall,
Email: alexeim@math.mcgill.ca,
Phone: 398-5476
Office hours:
Monday and Wednesday 10:00 am - 11:00 am
Lecture: MWF, 08:35
am - 09:25 am, ARTS W-120
Teaching Assistants:
Derrick Chung:
dchung@ math.mcgill.ca
Office hours: Monday,
Tuesday 1:30-2:30.
Alexandre Stanculescu:
stanculescu
@math.mcgill.ca
Office hours: Monday,
10:35-12:35, Room 1132 Burnside
Hall
Tutorials:
Monday, 12:35 - 1:25 pm, BURN 1B24, TA - Alexandre Stanculescu
Tuesday, 2:30 - 3:30 pm, RPHYS 115, TA - Derrick Chung
Syllabus:
Sets and relations. Rings and fields.
Integers, rationals, real
and complex numbers; modular arithmetic.
Polynomials over a field.
Divisibility theory for integers
and polynomials. Linear equations
over a field. Introduction to vector
spaces.
Textbook: Thomas
W. Hungerford: Abstract Algebra: An Introduction
,
Saunders College Publishing,
Method of evaluation:
Grade = max {F, 0.65F + 0.20M +
0.15A}
where F = final exam grade, M =
midterm exam grade, A = assignments grade.
Assignments:
Assignment 1 due in the class on Monday,
September 30
[Assignment1_pdf]
[Assignment1_ps]
[Assignment1.dvi]
Solutions to Assignment 1
[Solutions1.pdf]
[Solutions1.ps]
(Marker: Maxime Descoteaux maxdescoteaux@hotmail.com
)
Assignment 2 due in the class on Wednesday, October
9
[Assignment2_pdf]
[Assignment2_ps]
[Assignment2.dvi]
Solutions to Assignment 2
[Solutions2.pdf] [Solutions.ps]
(Note: there is a correction to the solution of
Problem 8)
(Marker: Juan Perez <jperez@math.mcgill.ca>
)
Extra Tutorial on Tuesday, October 15, 11:30-13:30,
by
Alexandre Stanculescu, meet at the room 1132
To prepare for the midterm the
following reading might be useful:
Textbook: Appendices A, B, and C (induction),
Chapter 1 (1.1-1.3), Chapter 2 (2.1-2.3), Chapter 3 (3.1,
3.2), Chapter 12.
Midterm Exam: October 16, 6:15-8:15 pm,
Adams Aud. , Frank
Dawson Adams Building, 3540 University.
Midterm [midterm.pdf
] [midterm.ps
]
Solutions [solutions_midterm.pdf
] [solutions_midterm.ps
]
Assignment 3 due in the class on Friday, October 25
[Assignment3 pdf]
[Assignment3
ps]
Note: there are few corrections in examples in
Assignment 3.
Solutions to Assignment 3
[Solutions3.pdf]
[Solutions3.ps]
Assignment 4 due in the class on Wednesday, November
6
[Assignment4.pdf]
[Assignment 4.ps]
Solutions to Assignment 4
[Solutions_4.pdf
] [Solutions_4.ps
]
Assignment 5 due in the class on Monday, November 25
[Assignment5.pdf
] [Assignment5.ps
]
Solutions to Assignment 5
[Solutions_5.pdf
] [Solutions_5.ps
]
Assignment 6 due in the class on Monday, December 2
[Assignment6.pdf]
[Assignment6.ps
]
Solutions to Assignment 6
[Solutions_6.pdf
] [Solution_6.ps
]
Reading for the final (Thomas W. Hungerford: Abstract
Algebra: An Introduction):
Appendices A, B, and C (induction),
Chapter 1 (1.1-1.3),
Chapter 2 (2.1-2.3),
Chapter 3 (3.1-3.2),
Chapter 12,
Chapter 4 (4.1-4.6),
Chapter 5 (5.1-5.3),
Chapter 6 (6.1-6.2),
Chapter 7 (7.1-7.8). Remarks: In Section 7.8 omit
Subgroups of quotient groups.
Final Exam: Friday,
December 13, 9:00, Rutherford Physics
Building.
Extra Class: Wednesday, December 11th, 08:35-09:55,
LEA Building, Room 26