# Math 246H Syllabus, Spring 2018

The following syllabus is tentative and updated only until the current date. It was last updated on 21 Feb. 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