Math 246 Syllabus, Fall 2015

Month	Date	Topic	Sections
		First-Order Ordinary Differential Equations
September	1	Introduction	0.1 - 0.3, 1.1 - 1.2
	3	Linear Equations	2.1 - 2.5
	8	Separable Equations	3.1 - 3.4
	10	General Theory and Graphical Methods	4.1 - 4.2, 5.1 - 5.4.1
	15	Applications	6.1 - 6.5
	17	Numerical Methods	7.1 - 7.4.3
	22	Exact Differential Forms and Integrating Factors	8.1 - 8.3
	24	In-Class Exam
		Higher-Order Linear Ordinary Differential Equations
	29	Introduction to Higher-Order Linear Equations	1.1 - 1.3, 2.1 - 2.2, 3.1 - 3.3.1
October	1	Homogeneous Equations: General Methods and Theory	2.3 - 2.6
	6	Homogeneous Equations with Constant Coefficients	4.1 - 4.5
	8	Nonhomogeneous Equations with Constant Coefficients	5.1 - 5.2, 6.1
	13	Nonhomogeneous Equations with Constant Coefficients	6.2 - 6.4
	15	Application: Mechanical Vibrations	8.1 - 8.4
	20	Nonhomogeneous Equations with Variable Coefficients	7.1 - 7.3.1
	22	In-Class Exam
	27	Laplace Transform Method	9.1 - 9.4
	29	Laplace Transform Method	9.5 - 9.8
		First-Order Systems of Ordinary Differential Equations
November	3	Introduction to First-Order Systems	1.1 - 1.5
	5	Linear Systems: Matrices and Vectors	3.1 - 3.2, 2.1
	10	Linear Systems: General Methods and Theory	2.2 - 2.5
	12	Linear Systems: Matrix Exponentials	4.1 - 4.3
	17	Linear Systems: Eigen Methods	5.1 - 5.5
	19	In-Class Exam
	24	Linear Planar Systems	6.1 - 6.3
December	1	Autonomous Planar Systems: Integral Methods	7.1 - 7.6
	3	Autonomous Planar Systems: Nonintegral Methods	8.1 - 8.6
	8	Application: Population Dynamics	9.1 - 9.2
	10	Application: Population Dynamics	9.3 - 9.4
	14	Final Exam, 1:30pm - 3:30pm in rooms TBA.