Important dates
 Last day to drop:
Tuesday, February 12.
 Withdrawal deadline:
 Tuesday, March 11.
 First midterm:
Tuesday, February 26
 Second midtem:
Thursday, April 3
 Final exam
Tuesday, May 13, 11:00AM  1:00PM
Quick Links
MATH 322  Spring 2008  Home
Final Exam Announcements

For the final exam, you need to know the following things about Laplace transforms:
 Computing Laplace transforms and inverse Laplace transforms using linearity, sshift, derivatives in s or t, antiderivatives in s or t, Heaviside functions and tshift, delta functions
 Solving ODE with initial conditions at t=0 using Laplace transforms.
You DO NOT need to know about solving ODE with initial conditions at t=a where a is not zero or about solving systems of ODE with Laplace transforms.

Office hours for exam week are:
 Thursday, 13 in Math 715
 Friday, 1011 in Math 715
 Friday, 1112 in MTL 120D
 Friday 45 in Math 606
 Monday 126 in Math 101
 Table for the exam is here. It will be provided as the second page of the exam.
 Practice problems for the exam are here.
 Some additional problems are here.
 Solutions to the practice problems for the exam are here and additional problems here.
 I'm having a hard time uploading the final grades, but here is how to calculate your grade. Take top 10 homeworks by percentage and rescale to be out of 50. Take the top 10 quizzes and rescale them to be out of 50. Add the sum of the top 6 clickers divided by 4 (so max of 15). Rescale each of the midterms to be out of 120.
Week 16 (May 57)
 Day 1:
6.3(Heaviside function, tshfting), 6.4 (delta functions), 6.6 (differentiation and integration of Laplace transforms)
Week 15 (Apr 28  May 2)
 Day 1:
11.9 (Fourier transform), 11.8 (sine and cosine transforms), 12.6 (1D Heat Equation on the whole line)
 Day 2:
6.1 (Laplace transform), 6.2 (transform of derivatives and integrals) & 6.3 (Heaviside function, tshfting).
Week 14 (Apr 2125)
 Day 1:
12.3 (1D wave equation),12.8(2D wave equation on rectangular membrane)
 Day 2:
,12.8(2D wave equation on rectangular membrane), 12.5 (1D heat equation)
Week 13 (Apr 1418)
 Day 1:
11.2 (functions of period 2L),11.3 (even and odd functions)
 Day 2:
11.4 (complex form of Fourier series).11.3 (halfrange expansions) & 11.5 (forced oscillations)), 12.1 (PDE), 12.3 (wave equation).
Week 12 (Apr 711)
 Day 1:
5.7 (SturmLiouville equations), 5.8 (orthogonal expansions), 11.1 (Fourier series)
 Day 2:
11.1 (Fourier series)11.2 (functions of period 2L),11.3 (even and odd functions)
Week 11 (Mar 31Apr 4)
 Day 1:
5.7 (SturmLiouville equations), 5.8 (orthogonal expansions)
 Day 2:
Exam 2
Exam 2 Announcements
 Extra office hours on Wednesday, April 2, 12pm4pm in Math 101, and 4pm6pm in Math East Lobby
 NOTE: Alex's usual office hours on Wednesday morning are CANCELED this week!
 NOTE: All usual office hours on Thursday are canceled this week.
 Practice problems for the exam:
click here Note: these were updated March 28 at 11:00AM
 Solutions to practice problems: click here
 Correction to one of the practice problem solutions: Click here (updated 4/2/2008, 3:00 pm)
 Solutions to Exam 2: click here
Week 10 (Mar 2428)
 Day 1:5.1 (power series), 5.2 (power series solution of ODE)
 Day 2:
5.7 (SturmLiouville equations), 5.8 (orthogonal expansions)
Week 9 (Mar 1014)
 Day 1:2.6 (existence and uniqueness of solutions of linear ODE), 2.7 (Wronskian)
 Day 2:
4.2 & 4.3 (linear differential equations and systems), 5.1 (power series).
Week 8 (Mar 37)
 Day 1: 8.1 (eigenvalues, eigenvectors),
1.1 (ODEs) & 1.7 (existence and uniqueness of solutions)
 Day 2:
1.1 (ODEs) & 1.7 (existence and uniqueness of solutions)
Exam 1 Announcements
 Extra office hours on Monday, February 25 from 126 in Math 101 (122 with Julie, 24 with DG, 46 with Alex)
 Practice problems for the exam:
click here
 Solutions to practice problems:
click here
 Solutions to Exam 1: click here
Week 7 (Feb 2529)
 Day 1: Exam 1 covering Chapter 13,
Chapter 7 Sections 1,2,4,5.
 Day 2:
7.8, 8.1 (determinants, inverse, linear systems of n
equations with n unknowns, eigenvalues, eigenvectors)
Week 6 (Feb 1822)
 Day 1: 7.4, 7.5
(null space, column space, rank, linear systems).
 Day 2:
7.5 (row operations, linear systems)
Week 5 (Feb 1115)
 Day 1: 7.1, 7.2 & 7.4
(matrices and vectors, linear independence).
 Day 2:
7.4 (vector spaces, bases and dimension)
Week 4 (Feb 48)
 Day 1: 13.5 & 13.6
(Complex exponential, trigonometric and hyperbolic functions).
 Day 2: 13.6 & 13.7
(Complex logarithm, power functions).
Week 3 (Jan 28Feb 1)
 Day 1: 13.3 & 13.4
(rules for continuity, limits and differentiation).
 Day 2: 13.3 & 13.4
(analytic functions,
CauchyRiemann equations, applications)
Week 2 (Jan 2125)
 Day 1: 13.2
(polar coordinate form of complex numbers, Euler's formula,
products, ratios, roots of a complex number, triangle inequality).
 Day 2: 13.3
(functions of a complex variable, limits, continuity,
differentiability).
Week 1 (Jan 1418)
 Day 1: Introduction,
motivation, 13.1 (definitions, algebra of complex
numbers).
