Main

• Calendar
• Syllabus:
• WebWork (various HW assignments)
• Etherpad
• Hand-checked assignment solutions: 1, 2, 3, 4, 5, 6, 7
• Test solutions: Test 1, Test 2, Test 3
• Known errors in the textbook
• Grading Codes (see the TAE document for many algebra helps)

Professor Scofield's schedule (see right margin) Video resources Linear Algebra examples (from mathispower4u.com) Differential Equation examples (from mathispower4u.com) Instructional videos from Khan Academy on linear algebra topics, and on ODEs

Additional reading resources

• Introduction to Linear Algebra, by Thomas Scofield
  Relevant material is found in the first 2 chapters, excepting Sections 1.4 and 1.6.
• Elementary Linear Algebra, notes by Keith Matthews of U. of Queensland
• Notes on Diffy Qs: Differential Equations for Engineers, by Jirí Lebl
• Elementary Differential Equations, by William F. Trench, with student solutions manual

Software Links

• A level curve plotter
• A plotter: try out your functions involving the Heavyside unit step here
• Direction fields
  • popular dfield program: Matlab version or standalone java program draws direction field only, not integral curves)
  • A direction field plotter by Ariel Barton (of the Univ. of Arkansas)
    
  • Darryl Nester's direction field plotter (of Bluffton College)
    
  • Direction field plotter written in geogebra (also will display solution curves)
  • One written locally as a SageMathCell App
• Phase plane
  • A general phase plane plotter for autonomous systems by Ariel Barton (of the Univ. of Arkansas)
    
  • popular pplane program: Use links for dfield above
  • A SageMathCell Phase Plane app, and a counterpart in 3D
  • An app for emphasizing connections between matrices, e-values and phase portrait for linear systems
    
• Numerical solutions app (Euler method, Runge-Kutta, and more), an Euler method app in Sage
• Sage: official website (documentation/downloads) | SageMathCell (one-off commands)
• Sage examples relevant to MATH 231
  • Sage cell for carrying out elementary row operations on a matrix
  • Eigenvectors: Compare unit input vector u with output Au, or see an animation
  • Undetermined coefficients: test choices for y_p on 1st-order and 2nd-order DEs
  • Eigenvalues and eigenvectors for a matrix
  • An example from class of plotting implicit solutions of a separable DE
  • An example using Runge-Kutta method for predator-prey and satellite orbit
• Wolfram alpha

Content Supplements

• Differential equations supplements
  • Table of Laplace transforms
  • Final exam formula sheet
  • Some worked examples of inverse Laplace transforms
  • More Inverse Laplace transform practice
• Linear algebra supplements
  • Matrices/Gaussian elimination on TI-83/84:
    • Video instruction on a TI-84 (shows steps for entering a matrix), and on a TI-83
    • Some summary print instructions on matrix capabilities from an unknown source