Instructor: Dr. D.
Haskell, HH316, ext.27244
Course meeting time: MR 9:30 - 10:20, T 10:30 - 11:20 BSB 136
E-mail: haskell@math.mcmaster.ca
Office hours: M 10:30--11:30, W 10:30--12:30
TA Jizhan Hong
hongj37@math.mcmaster.ca
Tutorial: T 11:30-12:20 BSB 136
Office hours: TW 4:30--5:30 (pm) behind the Math Cafe
Course requirements,
in brief (consult the course
information sheet for more detailed information).
Homework: 20%
Midterm I: 15%
Midterm II: 15%
Final: 50%
Announcements
Course
Calendar
Dates |
Monday | Tuesday |
Thursday | Recommended Problems |
Week 1 Jan 3 - 6 |
no class |
complex numbers - algebra and geometry 1.1, 1.2 |
complex numbers - algebra and geometry 1.1, 1.2 | 1.1: 1, 5, 7, 17 1.2: 1, 3, 9, 19, 23 |
Week 2 Jan 9 - 13 |
examples of complex functions 1.3 |
analysis in the complex plane
1.4 |
analysis in the complex plane
1.4 Homework 1 due |
1.3: 1, 3, 9, 13, 23 1.4: 5, 7, 15 |
Week 3 Jan 16 - 20 |
continuity and differentiability of complex functions 1.5 |
continuity and differentiability of complex functions 1.5 |
continuity and
differentiability of complex functions 1.5 |
1.5: 1, 5, 9, 25 |
Week 4 Jan 23 - 27 |
some specific derivatives 1.6 |
contour integrals 2.1 |
contour integrals 2.1 Homework 2 due |
1.6: 1, 5, 9 2.1: 1, 7, 9, 11 |
Week 5 Jan 30 - Feb 3 |
Midterm 1 no class today |
Cauchy's theorem 2.2 |
Midterm 1 | 2.2 1, 3, 9 |
Week 6 Feb 6 - 10 |
Cauchy's integral formula 2.4 | Cauchy's integral formula 2.4 |
Homework 3 due | 2.4: 1, 3, 13, 15, 17 |
Week 7 Feb 13 - 17 |
Cauchy's integral formula 2.4 | maximum modulus 2.5 | maximum modulus 2.5 |
2.5: 1, 3 |
Feb 20 - 24 |
Reading Week |
Reading Week | Reading Week | |
Week 8 Feb 27 - Mar 2 |
harmonic
functions Schwarz lemma |
convergent series 3.1 |
convergent series 3.1 Homework 4 due |
3.1: 2, 9, 12 |
Week 9 Mar 5 - 9 |
Midterm 2 |
power series 3.2 | power series 3.2 |
3.2: 1, 3, 7, 9 |
Week 10 Mar 12 - 16 |
Laurent series 3.3 | Laurent series 3.3 |
calculation of residues 4.1 Homework 5 due |
3.3: 1, 3 4.1: 1, 5 |
Week 11 Mar 19 - 23 |
calculation of residues 4.1 |
residue theorem 4.2 | residue theorem 4.2 |
4.2: 1, 3, 9 |
Week 12 Mar 26 - 30 |
evaluation of integrals 4.3 | evaluation of integrals 4.3 |
evaluation
of integrals 4.3 Homework 6 due |
4.3: 1, 3, 5, 7 |
Week 13 Apr 2 - 4 |
evaluation of integrals 4.3 | concluding remarks |