Problem Notes for Differential Equations 2280
Background: functions and continuity, used in Picard's
theorem, Chapter 2
Chapter 1, First order differential equations
Chapter 2, First order applications, Sections 2.1, 2.2, 2.3, DEplot examples
Chapter 2, Numerical DE, sample maple codes, Sections 2.4, 2.5, 2.6
Chapter 3, Linear higher order differential equations, mechanical oscillations, circuits, resonance
Chapter 4, Intro to nonlinear systems, Cayley-Hamilton-Ziebur, Numerical methods
Chapter 5, Linear systems, Eigenanalysis method, Mechanical applications, Exponential matrix, Variation of Parameters
Chapter 6, Dynamical systems, biology, mechanical systems, chaos
Chapter 7, Laplace theory, Laplace calculus, applications to differential equations
Chapter 9, Fourier series, heat and wave partial differential equations
Chapter 2, Rabbit problem, Transparencies 2005
Final exam study guide S2018, ch 1 to 10
Nathan Smale's 2280 problems Fall 2015
Professor Nathan Smale has provided hand-written solutions to a sample of 2280 exercises. Used with permission.
Darci Taylor's 2250 problems 2008
Hand-written problem details with answers, origin Fall 2008.
Chapters 1 to 10, Edwards-Penney, Differential Equations and Linear Algebra, selected problems.
Chapters 3, 4 of this book are linear algebra. The other chapters somewhat match the 2280 book,
with permutations of chapter numbers. In particular, 2250 Ch5 == 2280 Ch3, 2250 Ch7 == 2280 Ch4+Ch5,
2250 Ch10 == 2280 Ch7, 2250 Ch9 == 2280 Ch6. At Amazon.com, you can find a table of contents for the two books, then resolve the matches yourself.
Used with permission of Darci Taylor.