Winter 2013
Wake Vortex Study (NASA Langley Research Center)
Look here for more pictures and brief explanations
Please check the syllabus regularly as it is subject to change. Also, we will make frequent use of xhours during the term. So, you shouldn't schedule events during our xhours.
NOTE: If you are in Section 01 (Sutton), make sure you download the class notes before coming to class and look them over. We will be using these in class. You might want to print them out (2 or 4 pages per side) and take notes in the margins.
Date 
Reading (Due Today) 
Topics 
Class Notes for Sec. 01 
Mon., January 7  Chp. 1, 2.1  Course Overview; First Order ODEs  
Tues., Jan. 8 (xhour)  2.1, 2.2 & 2.6  Linear & Separable Equations  
Wed., Jan. 9  2.3 & 2.6  Separable & Exact Equations  
Fri., Jan. 11  2.32.5  Existence & Uniqueness Theorem; linear vs. nonlinear;  First Order ODEs, Part II 
Mon., Jan. 14  2.5 & 2.7  Modeling w/ First Order ODes; Autonomous Equations & Geometric Methods; Intro. to Matrix Algebra  
Tues. Jan. 15 (xhour)  2.12.7  Intro. to Matrix Algebra  2x2 Matrices 
Wed., Jan. 16  2.7, 3.1 & 3.2  Second Order linear Equations 
(revised 01182013) 
Fri., Jan. 18  3.13.3  Second Order linear Equations: Wronskian & Complex Roots  
Mon., Jan. 21  MLK Day: No Class 


Tues., Jan. 22 (xhour)  3.43.6  Second Order linear Equations:const. Coeff. w/ repeated roots; Nonhomogenoeus Eqs.: Method of Undetermined Coefficients 
(revised 01242013) 
Wed., Jan. 23  3.5 & 3.6  Method of Undetermined Coefficients & Variation of Parameters  
Fri., Jan. 25  3.6  3.8  SecondOrder Linear NonHom.Eqs.: Variation of Parameters  
Mon., Jan. 28  3.7 & 3.8  Review of Techniques  
Tues., Jan. 29 (xhour)  Chp. 13, 5.1 & 5.2  Application: SpringMass System Power Series and POwer Series Solutions to ODEs 

Wed., Jan. 30 (Exam I is tonight at 6PM in 008 Kemeny!) 
5.1 5.3  Series Solutions near ordinary points 
(revised 02052013) 
Fri., Feb. 1 
5.1  5.4  Series Solutions near ordinary points; Euler's equation and Solutions Near Regular Singular Points  
Mon., Feb. 4  5.1  5.4  Series Solutions Near Ordinary Points  
Tues., Feb. 5 (xhour)  5.1  5.4  Euler's equation and Solutions Near Regular Singular Points  
Wed., Feb. 6  7.1  7.4  Systems of First Order ODEs; Basic Theory: Existence & Uniqueness 
(revised 02132013) 
Fri., Feb. 8  Winter Carnival: No Class  
Mon., Feb. 11  7.1  7.4  Linear Independence, Eigenvalues & Eigenvectors  
Tues., Feb. 12 (xhour)  No Class  
Wed., Feb. 13  7.4 & 7.5  The Eigenvalue Problem and the connection with Systems of Linear ODEs 

Fri., Feb. 15  7.5 & 7.6  Basic Theory: Superposition & the Wronskian; Systems with Constant Coefficients: Real Distinct Roots 
(revised 02192013) 
Mon., Feb. 18  7.7 & 7.8  Systems with Constant Coefficients: Complex & Repeated Eigenvalues  
Tues., Feb. 19 (xhour)  7.17.9  Systems with Constant Coefficients: Complex & Repeated Eigenvalues; NonHomogeneous Linear Systems  
Wed., Feb. 20  7.17.9  NonHomogeneous Linear Systems; Linear Systems Wrapup  
Fri., Feb. 22  5.1  5.4 & 7.17.9  Review  
Mon., Feb. 25 (Exam II is Tonight at 6PM in 008 Kemeny!) 
10.1  TwoPoint Boundary Value Problems  
Tues., Feb. 26 (xhour)  No Class  
Wed., Feb. 27  10.2  Inner Products and Fourier Coefficients  
Fri., March 1  10.3 & 10.4  Fourier Series and the Fourier Convergence Theorem  
Mon., March 4  10.5 & 10.6  Heat Equation  
Tues., March 5 (xhour)  10.5 & 10.6  Heat Equation  
Wed., March 6  10.7  Wave Equation  
Fri., March 8  10.7  Wave Equation & Wrapup  
Tues., March 12 36PM 
Final Exam  Location 008 Kemeny Hall 
Last Updated 1 March, 2013