Math 246 Lecture Notes, Spring 2011

As they become available, you may download class notes here. They are pdf files, which can be viewed with a pdf viewer.

Most of the material covered by the First In-Class Exam

• First-Order Equations I: Introduction and First-Order Equations (1 February version)
  Sections 1.1, 1.2, 2.1, 2.2, 3.1--3.5, 4.1--4.4, 5.1--5.5

• First-Order Equations II: Numerical Methods (25 January version)
  Sections 6.1--6.3

• First-Order Equations III: Exact Differential Forms and Integrating Factors (25 January version)
  Sections 7.1, 7.2

Almost all of the material covered by the Second In-Class Exam

• Higher-Order Linear Equations I: Introduction and Homogenous Equations (21 March version)
  Sections 1.1--1.3, 2.1--2.6, 3.1--3.3, A.1--A.3

• Higher-Order Linear Equations II: Nonhomogenous Equations (21 March version)
  Sections 4.1, 4.2, 5.1--5.4, 6.1, 6.2, 6.4

• Higher-Order Linear Equations III: Mechanical Vibrations (21 March version)
  Sections 7.1--7.4

Most of the material covered by the Third In-Class Exam

• Higher-Order Linear Equations IV: Laplace Transform Method (26 April version)
  Sections 8.1--8.7

• First-Order Systems I: Introduction and Linear Systems (21 April version)
  Sections 1.1, 1.2, 2.1--2.4, B.1, B.2

• First-Order Systems II: Homogeneous Linear Systems with Constant Coefficients (9 April version)
  Sections 3.1--3.3, 4.1--4.5, 5.1--5.4

Some of the additional material covered by the Final Exam

• First-Order Systems III: Autonomous Nonlinear Planar Systems (coming soon)