Math 23: Differential Equations
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 x-hours during the term. So, you shouldn't schedule events during our x-hours.
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 (x-hour) | 2.1, 2.2 & 2.6 | Linear & Separable Equations | |
| Wed., Jan. 9 | 2.3 & 2.6 | Separable & Exact Equations | |
| Fri., Jan. 11 | 2.3-2.5 | Existence & Uniqueness Theorem; linear vs. non-linear; | 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 (x-hour) | 2.1-2.7 | Intro. to Matrix Algebra | 2x2 Matrices |
| Wed., Jan. 16 | 2.7, 3.1 & 3.2 | Second Order linear Equations |
(revised 01-18-2013) |
| Fri., Jan. 18 | 3.1-3.3 | Second Order linear Equations: Wronskian & Complex Roots | |
| Mon., Jan. 21 | MLK Day: No Class |
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| Tues., Jan. 22 (x-hour) | 3.4-3.6 | Second Order linear Equations:const. Coeff. w/ repeated roots; Non-homogenoeus Eqs.: Method of Undetermined Coefficients |
(revised 01-24-2013) |
| Wed., Jan. 23 | 3.5 & 3.6 | Method of Undetermined Coefficients & Variation of Parameters | |
| Fri., Jan. 25 | 3.6 - 3.8 | Second-Order Linear Non-Hom.Eqs.: Variation of Parameters | |
| Mon., Jan. 28 | 3.7 & 3.8 | Review of Techniques | |
| Tues., Jan. 29 (x-hour) | Chp. 1-3, 5.1 & 5.2 | Application: Spring-Mass System Power Series and POwer Series Solutions to ODEs |
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Wed., Jan. 30 (Exam I is tonight at 6PM in 008 Kemeny!) |
5.1- 5.3 | Series Solutions near ordinary points |
(revised 02-05-2013) |
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 (x-hour) | 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 02-13-2013) |
| Fri., Feb. 8 | Winter Carnival: No Class | ||
| Mon., Feb. 11 | 7.1 - 7.4 | Linear Independence, Eigenvalues & Eigenvectors | |
| Tues., Feb. 12 (x-hour) | No Class | ||
| Wed., Feb. 13 | 7.4 & 7.5 | The Eigenvalue Problem and the connection with Systems of Linear ODEs |
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| Fri., Feb. 15 | 7.5 & 7.6 | Basic Theory: Superposition & the Wronskian; Systems with Constant Coefficients: Real Distinct Roots |
(revised 02-19-2013) |
| Mon., Feb. 18 | 7.7 & 7.8 | Systems with Constant Coefficients: Complex & Repeated Eigenvalues | |
| Tues., Feb. 19 (x-hour) | 7.1-7.9 | Systems with Constant Coefficients: Complex & Repeated Eigenvalues; Non-Homogeneous Linear Systems | |
| Wed., Feb. 20 | 7.1-7.9 | Non-Homogeneous Linear Systems; Linear Systems Wrap-up | |
| Fri., Feb. 22 | 5.1 - 5.4 & 7.1-7.9 | Review | |
Mon., Feb. 25 (Exam II is Tonight at 6PM in 008 Kemeny!) |
10.1 | Two-Point Boundary Value Problems | |
| Tues., Feb. 26 (x-hour) | 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 (x-hour) | 10.5 & 10.6 | Heat Equation | |
| Wed., March 6 | 10.7 | Wave Equation | |
| Fri., March 8 | 10.7 | Wave Equation & Wrap-up | |
Tues., March 12 3-6PM |
Final Exam | Location 008 Kemeny Hall |
Last Updated 1 March, 2013