Material for Math 246, Fall 2022, will be posted here as it becomes available. The chapters are hyperlinked pdf files.

• They include exercises with links to solutions. They might be updated during the term. Please monitor the version dates.
• There are links to the Exercise Environment, which should contain the same excercises and solutions found in the chapters.
• There are links to relevant internally generated material and to relevant external websites.
• New links might be added during the semester.

Part	Chapter	Sections	Version	Exercise Environment	Internal Links	External Links
	0. Course Introduction and Overview	0.1 - 0.3	August 2	Exercises	Internal Links	External Links
I. First-Order Ordinary Differential Equations
	1. Introduction to First-Order Equations	1.1 - 1.2	August 2	Exercises	Internal Links	External Links
	2. Linear Equations	2.1 - 2.5	August 2	Exercises	Internal Links	External Links
	3. Separable Equations	3.1 - 3.4	August 2	Exercises	Internal Links	External Links
	4. General Theory	4.1 - 4.2	August 2	Exercises	Internal Links	External Links
	5. Graphical Methods	5.1 - 5.3.1, 5.4.1	August 2	Exercises	Internal Links	External Links
	6. Applications	6.1 - 6.4	August 2	Exercises	Internal Links	External Links
	7. Numerical Methods	7.1 - 7.3.2, 7.4	August 2	Exercises	Internal Links	External Links
	8. Second-Order Equations Reducible to First-Order Ones	none	August 2	none	Internal Links	External Links
	9. Exact Differential Forms and Integrating Factors	9.1 - 9.3	August 2	Exercises	Internal Links	External Links
	10. Special Equations and Substitution	none	August 2	Exercises	Internal Links	External Links
II. Higher-Order Linear Ordinary Differential Equations
	1. Introduction to Higher-Order Linear Equations	1.1 - 1.3	August 2	Exercises	Internal Links	External Links
	2. Homogeneous Equations: General Methods and Theory	2.1 - 2.6	August 2	Exercises	Internal Links	External Links
	3. Supplement: Linear Algebraic Systems and Determinants	3.1 - 3.3.1	August 2	Exercises	Internal Links	External Links
	4. Homogeneous Equations with Constant Coefficients	4.1 - 4.5	August 2	Exercises	Internal Links	External Links
	5. Nonhomogeneous Equations: General Methods and Theory	5.1 - 5.2	August 2	Exercises	Internal Links	External Links
	6. Nonhomogeneous Equations with Constant Coefficients	6.1 - 6.5	August 2	Exercises	Internal Links	External Links
	7. Nonhomogeneous Equations with Variable Coefficients	7.1 - 7.3.1	August 2	Exercises	Internal Links	External Links
	8. Application: Mechanical Vibrations	8.1 - 8.5	August 2	Exercises	Internal Links	External Links
	9. Laplace Transform Method	9.1 - 9.10	August 2	Exercises	Internal Links	External Links
III. First-Order Systems of Ordinary Differential Equations
	1. Introduction to First-Order Systems	1.1 - 1.5	August 2	Exercises	Internal Links	External Links
	2. Linear Systems: General Methods and Theory	2.1 - 2.5	August 2	Exercises	Internal Links	External Links
	3. Supplement: Matrices and Vectors	3.1 - 3.2	August 2	Exercises	Internal Links	External Links
	4. Linear Systems: Matrix Exponentials	4.1 - 4.4	August 2	Exercises	Internal Links	External Links
	5. Linear Systems: Eigen Methods	5.1 - 5.5	August 2	Exercises	Internal Links	External Links
	6. Linear Systems: Laplace Transform Methods	none	August 2	Exercises	Internal Links	External Links
	7. Linear Planar Systems	7.1 - 7.3	August 2	Exercises	Internal Links	External Links
	8. Autonomous Planar Systems: Integral Methods	8.1 - 8.4	August 2	Exercises	Internal Links	External Links
	9. Autonomous Planar Systems: Nonintegral Methods	9.1 - 9.5	August 2	Exercises	Internal Links	External Links
	10. Application: Population Dynamics	10.1 - 10.4	August 2	Exercises	Internal Links	External Links

• The text was prepared by C. David Levermore with illustrations that were prepared by Samuel Punshon-Smith and Kilian Cooley.
• Exercises and solutions were prepared by Elizabeth McLaughlin Wilson with the help of Matthew Becker, Dana-Adriana Botesteanu, Adam J. Lizzi, Samuel Punshon-Smith, and Hana Ueda.
• The exercise environment was developed by Samuel Punshon-Smith and was maintianed by Kilian Cooley.
• Various upgrades by Aaron McQueen in Summer 2022.
• Movies and Matlab presentations were prepared by Ronald L. Lipsman.
• Technical support was provided by Jeff McKinney and his staff.
• Jeffrey Adams, Radu V. Balan, Maria K. Cameron, Joel Cohen, Kilian Cooley, Casey Cremins, Stefan Doboszczak, Roohollah Ebrahimian, Gadi Fibich, Michael Jakobson, Doron Levy, Xinyang Li, Chunting Lu, Matei Machedon, Antoine Mellet, Yanir Rubinstein, Yan Tay, Alice Wang, Kendall Williams, Justin Wyss-Gallifent, Kelly Yancey, Jing Zhou, and Christian K. Zickert have also been involved.

Parts of this effort during 2013 and 2014 were funded by grants from:

• Department of Mathematics, Scott A. Wolpert, Chair
• College of Computer, Mathematical, and Natrual Sciences, Jayanth R. Banavar, Dean
• A. James Clark School of Engineering, Darryll Pines, Dean
• University of Maryland System, William E. Kirwan, Chancellor

Parts of this effort during 2018 and 2019 were funded by grants from:

• Department of Mathematics, Scott A. Wolpert, Chair