Important dates
- Last day to drop:
Tuesday, February 8.
- Withdrawal deadline:
- Tuesday, March 8.
- First midterm:
Tuesday, February 22
- Second midtem:
Tuesday, March 29
- Final exam
Tuesday, May 10, 10:30 a.m. to 12:30 p.m.
Quick Links
MATH 322 - Spring 2011 - Home
Look Here for important announcements!
Final Exam Formula Page (PDF)
Wiley Plus URL: http://edugen.wiley.com/edugen/class/cls211339/
Movie showing the on-screen calculations for Lecture 04: http://vimeo.com/user5853631/math322s01e04
Movie showing the on-screen calculations for Lecture 05: Lecture05
Movie showing the on-screen calculations for Lecture 06: Lecture06
Movie showing the on-screen calculations for Lecture 07: Lecture07
Movie showing the on-screen calculations for Lecture 08: Lecture08
Movie showing the on-screen calculations for Lecture 09: Lecture09
Movie showing the on-screen calculations for Lecture 10: Lecture10
Movie showing the on-screen calculations for Lecture 11: Lecture11
Movie showing the on-screen calculations for Lecture 13: Lecture13
Info on Quizzes and Homeworks
- The first homework is due on Thursday, January 20 (11pm).
- The first quiz will be given on Friday, January 21
- The second homework is due on Thursday, January 27 (11pm).
- Unless otherwise announced,remaining Homeworks and Quizzes will follow this weekly schedule.
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Course content by week
Course Syllabus (tentative)
Week 1
- Day 1: Introduction, motivation, 13.1 (definitions, algebra of complex numbers). 13.2 (polar coordinate form of complex numbers, Euler's formula, products, ratios, roots,
roots of a complex number, triangle inequality).
- Day 2: 13.3 (function of a complex variable, limits, continuity, differentiability).
Week 2
- Day 1: 13.3 & 13.4 (rules for continuity, limits and differentiation, analytic functions, Cauchy-Riemann equations, applications).
- Day 2: 13.5 & 13.6 Concept tests. Complex exponential, trigonometric and hyperbolic functions.
13.7 Complex logarithm. Concept tests.
Week 3
- 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 4
- 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 5
- Day 1:8.1 (eigenvalues and eigenvectors)
- Day 2: 8.1 (properties of eigenvalues). 1.1 ODEs, computing solutions.
Week 6
- Day 1:1.1 (ODEs) & 1.7 (existence and uniqueness of solutions).
2.6 (existence and uniqueness of solutions), 2.7 (Wronskian)
- Day 2: MIDTERM 1
Week 7
- 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 8
- Day 1: 4.3 (linear differential equations and systems). Concept test.
- Day 2: 5.7 (Sturm-Liouville problems)& 5.8 (orthogonal expansions in linear algebra).
Week 9
- 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)
Week 10
- 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 11
- Day 1: 11.9 (Fourier transform) & 11.8 (sine and cosine transforms).
- Day 2: MIDTERM 2
Week 12
- 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 13
- Day 1: 12.8 (rectangular membrane).
- Day 2: 12.5 (1d heat equation on finite interval).
Week 14
- Day 1: 12.6 (heat equation on the whole line).
- Day 2: No Class (THANKSGIVING).
Week 15
- Day 1: 6.1 (Laplace transform), 6.2 (transform of derivatives and integrals) & 6.3 (Heaviside function, t-shfting).
- Day 2: 6.4 (delta functions), 6.6 (differentiation and integration of Laplace transforms).
Week 16
- Day 1:6.7 (applications to systems of ODEs).
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