Math 246 Syllabus, Fall 2018

Month	Date	Event	Topic	Sections	Assignment
			First-Order Ordinary Differential Equations
August	27	Reading	Introduction	0.1 - 0.4, 1.1 - 1.3
	28	Lecture	Linear Equations	2.1 - 2.5
	29	Discussion	Explicit and Linear Equations	0.1 - 2.5	Group Work 1
	30	Lecture	Separable Equations	3.1 - 3.4
September	4	Lecture	General Theory and Graphical Methods	4.1 - 4.2, 5.1 - 5.3.1, 5.4.1	Quiz 1
	5	Discussion	Separable and Graphical	3.1 - 3.4, 5.1, 5.2	Matlab A, Group Work 2
	6	Lecture	Applications	6.1 - 6.4
	11	Lecture	Numerical Methods	7.1 - 7.4	Quiz 2
	12	Discussion	Applications and Numerical Methods	6.1, 6.2, 6.4, 6.5, 7.1 - 7.4	Group Work 3
	13	Lecture	Exact Differential Forms	7.4, 8.1 - 8.2
	18	Lecture	Integrating Factors	8.3	Quiz 3
	19	Discussion	Exact Differential Forms and Integrating Factors	8.1 - 8.3	Group Work 4
	20	Lecture	In-Class Exam		First Exam
			Higher-Order Linear Ordinary Differential Equations
	25	Lecture	Introduction to Higher-Order Linear Equations Homogeneous Equations: General Methods and Theory	1.1 - 1.3 2.1 - 2.3, 3.1 - 3.3.1
	26	Discussion	Higher-Order Linear Equations	1.1 - 1.3, 2.1 - 2.3, 3.1 - 3.3.1	Matlab B, Group Work 5
	27	Lecture	Homogeneous Equations: General Methods and Theory Homogeneous Equations with Constant Coefficients	2.3 - 2.7 4.1 - 4.2
October	2	Lecture	Homogeneous Equations with Constant Coefficients Nonhomogeneous Equations: General Methods and Theory Nonhomogeneous Equations with Constant Coefficients	4.3 - 4.5 5.1 - 5.2 6.1	Quiz 4
	3	Discussion	Homogeneous Equations	2.1 - 2.7, 4.1 - 4.5	Group Work 6
	4	Lecture	Nonhomogeneous Equations with Constant Coefficients	6.2 - 6.3
	9	Lecture	Nonhomogeneous Equations with Constant Coefficients	6.3 - 6.5	Quiz 5
	10	Discussion 6	Nonhomogeneous Equations	5.1 - 5.2, 6.1 - 6.5	Matlab C, Group Work 7
	11	Lecture	Application: Mechanical Vibrations	8.1 - 8.6
	16	Lecture	Nonhomogeneous Equations with Variable Coefficients	7.1 - 7.3.1	Quiz 6
	17	Discussion	Nonhomogeneous Equations with Variable Coefficients Application: Mechanical Vibrations	7.1 - 7.3.1 8.1 - 8.6	Group Work 8
	18	Lecture	In-Class Exam		Second Exam
	23	Lecture	Laplace Transform Method	9.1 - 9.5
	24	Discussion	Laplace Transform Method	9.1 - 9.4	Matlab D, Group Work 9
	25	Lecture	Laplace Transform Method	9.5 - 9.9
	30	Lecture	Laplace Transform Method Introduction to First-Order Systems	9.9 - 9.10 1.1 - 1.4	Quiz 7
	31	Discussion	Laplace Transform Method	9.5 - 9.10	Group Work 10
			First-Order Systems of Ordinary Differential Equations
November	1	Lecture	Introduction to First-Order Systems Linear Systems: Matrices and Vectors	1.3 - 1.5, 2.0, 3.1, 3.2
	6	Lecture	Linear Systems: General Methods and Theory Linear Systems: Matrix Exponentials	2.1 - 2.5 4.1	Quiz 8
	7	Discussion	First-Order Systems	1.1 - 1.5, 2.1 - 2.5	Matlab E, Group Work 11
	8	Lecture	Linear Systems: Matrix Exponentials	4.1 - 4.4
	13	Lecture	Linear Systems: Eigen Methods	5.1 - 5.5	Quiz 9
	14	Discussion	Linear Systems	4.1 - 4.4, 5.1 - 5.5	Group Work 12
	15	Lecture	In-Class Exam		Third Exam
	20	Lecture	Linear Planar Systems	7.1 - 7.4
	27	Lecture	Autonomous Planar Systems: Integral Methods	8.1 - 8.4	Quiz 10
	28	Discussion	Planar Systems	7.1 - 7.4, 8.1 - 8.4	Group Work 13
	29	Lecture	Autonomous Planar Systems: Nonintegral Methods	9.1 - 9.5
December	4	Lecture	Application: Population Dynamics	10.1 - 10.3	Quiz 11
	5	Discussion	Autonomous Planar Systems	9.1 - 9.5, 10.1 - 10.3	Matlab F, Group Work 14
	6	Lecture	Application: Population Dynamics	10.4
	12		Final Exam, 1:30pm - 3:30pm in rooms posted on website.		Final Exam