Steve Cohn
Vital Info
Steve Cohn
226 Avery Hall
Department of Mathematics
University of Nebraska Lincoln
Voice: (402) 472-7223
Fax: (402) 472-8466
E-mail: scohn1@math.unl.edu
Open colloquium dates, 2011-2012
Math 842-843
The Qualifying Exam:
Topics Typically Covered in 842-843
January 2002 Qualifying Exam
June 2002 Qualifying Exam
January 2003 Qualifying Exam
June 2003 Qualifying Exam
January 2004 Qualifying Exam
June 2004 Qualifying Exam
June 2005 Qualifying Exam
The 2006-7 Course Outlines:
842 Course Outline
Note: The 842 final exam will on Monday, 12/11, 1:00 - 3:00
The 2006-7 842-3 Final Exams:
2006-7 842 Final Exam
2006-7 843 Final Exam
Notes:
Assignment 2, Problem 17a
The Relativistic Perihelion Problem From 2.2
Singular Perturbation, Boundary Layers
Exam 1 Solutions
Integral Asymptotics 1: Laplace's Method
Integral Asymptotics 2: Watson's Lemma
Integral Asymptotics 3: Stationary Phase
The WKB Method
A Little Multivariable Calculus
Normed Linear Spaces
Calculus of Variations 1: The Gateaux Variation
Calculus of Variations 2: One Function of One Variable
Calculus of Variations 3: One Function of Several Variables
Calculus of Variations 4: Several Functions of One Variables
Calculus of Variations 5: Geodesics on Surfaces
Calculus of Variations 6: Hamilton's Principle
Calculus of Variations 7: Hamilton's Equations
Balance Laws 1
Balance Laws 2: The Heat, Laplace and Poisson Equations
The Wave Equation
Linearity, Superposition and Classification
Problems and Equations
Well-Posed Problems
Concerning L^2(I)
Eigenfunction Expansions 1
Eigenfunction Expansions 2
Eigenfunction Expansions 3
Fourier Transforms 1
Fourier Transforms 2
Fourier Transforms 3
Fourier Transforms 4: The Heisenberg Uncertainty Principle
Wave Propagation 1: The Method of Characteristics
Wave Propagation 2: The Quasilinear Scalar Conservation Law
Wave Propagation 3: The Jump Condition
Wave Propagation 4: Traveling Waves, The Burgers' Equation
Wave Propagation 5: Traveling Waves, The KdV Equation
A Little More Multivariable Calculus: The Jacobian, Change-of-Variable, etc.
syll
Math 843, Exam 2
Green's Functions 1: Introduction
Fourier Transforms 5: Eigenfunction Expansions and Transform Pairs
Partial Differential Equations Seminar
Fall 2010-11
Spring 2010-11
Math 104, Spring 2010/11
Course policies
Syllabus
Course log
Math 428/828, Spring 2010/11
Course outline
Course log
Math 208, Fall 2010/11
Outline for exam 1
Exam 1
Outline for exam 2
Outline for exam 3
Outline for exam 4
Outline for final exam
Chain rule problems
Gradient problems
Parametrization problems
Potential functions, gradient fields, path-independence problems
Second derivative test problems
Spherical and cylindrical coordinates problems
Notes on the differential
Notes on iterated integrals in polar coordinates
Notes on vector fields and line integrals
Notes on flux and surface integrals
Notes on surface integrals and the differentials for flux integrals
Course log
Assorted Notes for the Engineering Review, Fall 2008
Chain rule examples
Integration tricks
Classification of improper integrals
Notes on Taylor series
Notes on gradients
Notes on line integrals
Notes on surface integrals
Properties of the Laplace transform
Sample Laplace transform problems
The inverse Laplace transform
Table of Laplace transforms
Second-order, linear ODEs 1
Second-order, linear ODEs 2
Second-order, linear ODEs 3
Basic matrix operations