Important dates

  • Last day to drop:
    September 14
  • Withdrawal deadline:
  • October 12.
  • First midterm:
    Tuesday, October 2
  • Second midtem:
    Thursday, November 8
  • Final exam
    Thursday, December 13

Quick Links

MATH 322 - Spring 2007 - Home

If you want to see your final exam or discuss your performance in class, please contact me the first week of Spring semester.

I will only meet students on Thursday January 17 afternoon
from 3:30-4pm in Math 717.

Please note that, per University policy, the only reason to change a grade is a miscalculation of your final grade.

Office hour during exam week

  • Tuesday, December 11th: A.Xiong 2-4pm Math 402
  • Wednesday, December 12th: R. Vandiver, A. Goriely, 1-4pm Math 402

Info on Quizzes and Homeworks

  • The tirteenth homework is due on Thursday, November 22 (11pm).
  • The tirteenth quiz is a (long!) take-home quiz and is due on Friday, November 30
    Download the PDF here.
  • The fourteenth homework is due on Thursday, November 29 (11pm).
  • The fifteenth homework is due on Thursday, December 7 (11pm). It will be graded on 10 points and there will be no quiz #15.

There was a typo in the take-home quiz previously posted. A new version (As of Nov. 25) has been posted with extra comments on how to proceed with the second problem.

Extra Material:

  • Final Exam Formula Page (PDF)

  • Laplace transform of second order ODE (As seen in class) (PDF)
  • Solution of quiz #13 (Problem 1, Problem 2)
  • Written notes from the last lecture on PDE (November 20) (PDF)
  • Answers TO THE SECOND MIDTERM (PDF)
  • Answers TO THE FIRST MIDTERM (PDF)

Note: Carl Neuman (1832-1925) German Mathematician and physicist, worked on Integral equations.

Course content by week

Week 16 (Dec 3-Dec 5)

  • Day 1:6.4 (delta functions), 6.6 (differentiation and integration of Laplace transforms) & 6.7 (applications to systems of ODEs).

Week 15 (Nov 27-Nov 30)

  • Day 1: 12.6 (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 (Nov 20-Nov 21)

  • Day 1: 12.8 (rectangular membrane), 12.5 (1d heat equation on finite interval).
  • Day 2: No Class (THANKSGIVING).

Week 13 (Nov 13-Nov 17)

  • Day 1: 12.1 (PDEs) & 12.3 (1d wave equation)
  • Day 2: 12.3, 12.4 (1d wave equation GUI), 12.8 (2d wave equation - rectangular membrane).

Week 12 (Nov 5-Nov 9)

  • Day 1:Review, clicker tests.
  • Day 2: Second Midterm

Week 11 (Oct 29-Nov 2)

  • Day 1:11.4 (complex form of Fourier series).11.3 (half-range expansions) & 11.5 (forced oscillations).
  • Day 2: 11.9 (Fourier transform) & 11.8 (sine and cosine transforms).

Week 10 (Oct 22-Oct 26)

  • Day 1:11.1 (Fourier series)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).

Week 9 (Oct 15-Oct 19)

  • Day 1: 4.3 (linear differential equations and systems). Expansions: 5.1 (power series) & 5.2 (power series solutions of ODEs).
  • Day 2: 5.7 (Sturm-Liouville problems)& 5.8 (orthogonal expansions in linear algebra).

Week 8 (Oct 8-Oct 12)

  • Day 1: 2.6 (existence and uniqueness of solutions), 2.7 (Wronskian), 2.2,
  • Day 2: 4.2 & 4.3 (linear differential equations and systems).

Week 7 (Oct 1-Oct 5)

  • Day 1: MIDTERM I
  • Day 2: 1.1 (ODEs) & 1.7 (existence and uniqueness of solutions).
    2.6 (existence and uniqueness of solutions), 2.7 (Wronskian)

Week 6 (Sept 23-Sept 28)

  • Day 1: 8.1 (eigenvalues and eigenvectors)
  • Day 2: 8.1 (properties of eigenvalues). Review: What you should know for the midterm

Week 5 (Sept 16-Sept 21)

  • Day 1: 7.5 (linear systems, determinant of a square matrix).
  • Day 2: 7.8 & 7.5 (determinants, inverse, linear systems of n equations with n unknowns)

Week 4 (Sept 9-Sept 14)

  • Day 1: 7.1, 7.2 & 7.4 (matrices and vectors, linear independence).
  • Day 2: 7.4 (vector spaces, bases and dimension, null space, column space, rank)

Week 3 (Sept 3-Sept 7)

  • Day 1: 13.5 & 13.6 Concept tests. Complex exponential, trigonometric and hyperbolic functions.
  • Day 2: 13.7 Complex logarithm. Concept tests.

Week 2 (Aug 27-Sept 1)

  • Day 1: 13.3 (function of a complex variable, limits, continuity, differentiability).
  • Day 2: 13.3 & 13.4 (rules for continuity, limits and differentiation, analytic functions, Cauchy-Riemann equations, applications).

Week 1 (Aug 20-24)

  • Day 1: Introduction, motivation, 13.1 (definitions, algebra of complex numbers).
  • Day 2: 13.2 (polar coordinate form of complex numbers, Euler's formula, products, ratios, roots,
    roots of a complex number, triangle inequality).
Copyright 2007 Alain Goriely, based on Joceline Lega's web page.