Math 246H Syllabus, Spring 2018

Linear Planar Systems

Month	Date	Topic	Sections
		First-Order Ordinary Differential Equations (Chapter I)
January	25	Introduction	0.1 - 0.3, 1.1 - 1.2
	30	Linear Equations (homogeneous)	2.1 - 2.5
February	1	Separable Equations	3.1 - 3.4
	6	General Theory / Graphical Methods / Applications	3.3 - 3.4, 4.1 - 4.2, 5, 6
	8	Applications	6
	13	Numerical methods	7
	15	Quiz 1 / Numerical methods	7.2-7.3
	20	Higher-Order Linear Ordinary Differential Equations - Introduction / Homogeneous Equations: General Methods and Theory (Chapter II)	(part II started) 1.1 - 1.3, 2.1 - 2.4
	22	Homogeneous Equations: General Methods and Theory	2.1 - 2.6
	27	Homogeneous Equations: General Methods and Theory / Linear Algebra review	2.1 - 2.7, 3.1-3.3
March	1	Quiz 2 / Homogeneous Equations with Constant Coefficients	4.1 - 4.2
	6	Homogeneous Equations: General Methods and Theory	2.1 - 2.6, 3.1
	8	Midterm
	13	Homogeneous Equations with Constant Coefficients	4.1 - 4.2
	15	Quiz 3 / (Non)-Homogeneous Equations with Constant Coefficients)	(4.2-4.5, 5.1 - 5.2)
	27	Non-homogeneous Equations with Constant Coefficients	5.1 - 5.2
	29	Quiz 4 / Non-homogeneous Equations with Constant Coefficients - undetermined coefficients	6.2
April	3	Nonhomogeneous Equations with Constant/Variable Coefficients	6.2-6.4, 7.1 - 7.2
	5	Midterm
	10	Green function for higher order nonhomogeneous Equations with Variable Coefficients	6.4, 7.3, 7.6
	12	Quiz 5 / Application: Mechanical Vibrations / Laplace transform Laplace transform	8.1 - 8.2, 9.1 - 9.1 - 9.5, (started part III) III.1
	17	Linear Systems: Matrix Exponential / Linear Systems: Eigen Methods	1-3
	19	Linear Systems: Eigen Methods / Linear Systems: General Methods and Theory	1 - 3,
	24	Linear Systems	4 - 5
	26	Eigen Methods / Linear Systems: General Methods and Theory	4-5
May	1	Linear Systems	4-5
	3		7
	8	review	Chapters I,II,III
	10	review	Chapters I,II,III
	12	Final exam