| Course Schedule |
Math 312: Exams |
Final Exam
The Final Exam is scheduled for Thursday May 6 from 1pm-4pm. You have access to one 8.5"x11" page of notes and formulas which CAN NOT include worked out problems. Final Exam questions will be drawn from Worksheet Examples, Exercises, HW and Quizzes.
Topic List for Final Exam
Linear Fractional Transformations
Contour Integration (by parametrization)
Cauchy Integral Formulas
Residues (The formula for a m-order pole, Laurent series, applications of residues to various real integrals)
Cauchy Integral Theorems (Cauchy-Goursat, Path Independence, Deformation Invariance)
Cauchy Residue Theorems (1st and 2nd)
Cauchy-Riemann Equations (u_x=v_y, u_y=-v_x)
Log z, log_alpha, Arg(z), branch cuts
Complex Arithmetic (addition, multiplication, division, conjugation, etc)
Mappings (visual representations of elementary complex functions: e^z, Az+B, Log(z), 1/z)
Complex Roots (z^c has one value if c is integer, n values if c is rational (m/n where m and n are integers, and an infinite number of values if c is complex)
Solutions to the Final Exam
There are two in-class exams scheduled for Friday March 5 and Friday April 23. These times can be changed with 1-week's notice. The in-class exams are open book, open notes. You should expect to have 90 minutes to take them.
Exam 2
The Practice Exam for Exam 2 has been distributed in hardcopy form. Check the archives outside my office door.
Solutions to the Practice Exam
The topics covered for Exam 2 are found in
Chapter 4 (not including 4.6 or 4.7)
Section 5.5 and 5.6
Sections 6.1,6.2,6.3,6.4
Section 7.3 and 7.4
Solutions to Exam 2
Curve for Exam 2
| Frequency | Score | Grade |
| 8 | 93+ | A |
| 0 | 90+ | A- |
| 2 | 88+ | B+ |
| 2 | 83+ | B |
| 1 | 80+ | B- |
| 0 | 78+ | C+ |
| 0 | 73+ | C |
| 1 | 70+ | C- |
| 1 | 68+ | D+ |
| 0 | 63+ | D |
| 0 | 60+ | D- |
| 1 | 60- | F |
Exam 1
The Practice Exam for Exam 1 is the Fall 2001 Exam 1
Solutions to the Practice Exam will be distributed in class. Here is an online copy of the solutions.
The topics covered for Exam 1 are found in
Chapter 1 (not including 1.7)
Chapter 2 (not including 2.6)
Chapter 3 (not including 3.1, 3.6)
Solutions to Exam 1 will be distributed in class.
Curve for Exam 1
| Frequency | Score | Grade |
| 4 | 85+ | A |
| 0 | 80+ | A- |
| 2 | 75+ | B+ |
| 2 | 65+ | B |
| 1 | 60+ | B- |
| 1 | 55+ | C+ |
| 1 | 50+ | C |
| 0 | 45+ | C- |
| 3 | 40+ | D+ |
| 1 | 35+ | D |
| 0 | 30+ | D- |
| 1 | 30- | F |
Last Updated May 09, 2004
