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, s-shift, derivatives in s or t, antiderivatives in s or t, Heaviside functions and t-shift, 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, 1-3 in Math 715
- Friday, 10-11 in Math 715
- Friday, 11-12 in MTL 120D
- Friday 4-5 in Math 606
- Monday 12-6 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 5-7)
- Day 1:
6.3(Heaviside function, t-shfting), 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, t-shfting).
Week 14 (Apr 21-25)
- 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 14-18)
- 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 (half-range expansions) & 11.5 (forced oscillations)), 12.1 (PDE), 12.3 (wave equation).
Week 12 (Apr 7-11)
- Day 1:
5.7 (Sturm-Liouville 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 31-Apr 4)
- Day 1:
5.7 (Sturm-Liouville equations), 5.8 (orthogonal expansions)
- Day 2:
Exam 2
Exam 2 Announcements
- Extra office hours on Wednesday, April 2, 12pm-4pm in Math 101, and 4pm-6pm 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 24-28)
- Day 1:5.1 (power series), 5.2 (power series solution of ODE)
- Day 2:
5.7 (Sturm-Liouville equations), 5.8 (orthogonal expansions)
Week 9 (Mar 10-14)
- 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 3-7)
- 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 12-6 in Math 101 (12-2 with Julie, 2-4 with DG, 4-6 with Alex)
- Practice problems for the exam:
click here
- Solutions to practice problems:
click here
- Solutions to Exam 1: click here
Week 7 (Feb 25-29)
- 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 18-22)
- Day 1: 7.4, 7.5
(null space, column space, rank, linear systems).
- Day 2:
7.5 (row operations, linear systems)
Week 5 (Feb 11-15)
- 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 4-8)
- 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 28-Feb 1)
- Day 1: 13.3 & 13.4
(rules for continuity, limits and differentiation).
- Day 2: 13.3 & 13.4
(analytic functions,
Cauchy-Riemann equations, applications)
Week 2 (Jan 21-25)
- 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 14-18)
- Day 1: Introduction,
motivation, 13.1 (definitions, algebra of complex
numbers).
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