Math 246 Lecture Notes, Fall 2012

As they become available, you may download class notes here. They are pdf files.
They might be updated during the term. Please monitor the version dates.

Almost all the material covered by the First In-Class Exam

• First-Order Equations I: Introduction and First-Order Equations (4 September version)
  Sections 1.1, 1.2, 2.1, 2.2, 3.1--3.5, 4.1--4.5
  

• First-Order Equations II: Graphical Methods and Applications (14 September version)
  Sections 5.1, 5.2, 6.1--6.4, 7.1--7.5

• First-Order Equations III: Numerical and More Analytic Methods (30 September version)
  Sections 8.1--8.4, 9.1--9.3

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

• Higher-Order Linear Equations I: Introduction and Homogenous Equations (21 August 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 (30 September version)
  Sections 4.1, 4.2, 5.1--5.4, 6.1--6.3

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

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

• Higher-Order Linear Equations IV: Laplace Transform Method (9 December version)
  Sections 8.1--8.7

• First-Order Systems I: Introduction and Linear Systems (9 December version)
  Sections 1.1--1.5, 2.1--2.4, B.1, B.2

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

Most of the additional material covered by the Final Exam

• First-Order Systems III: Autonomous Planar Systems (9 December version)
  Sections 6.1--6.6, 7.1, 7.2, 8.1, 8.2