Fall 2008
Monday 2 PM - 4 PM in room 321
Thursday 2 PM - 3 PM in room 321
Office Hours:
Fridays at 11:30-12:30 PM, Room 460.
Current Schedule:
Course Objectives
Course Syllabus
Assessment Policy and Rubric - Revised 16 Nov
Comments on Style of Class
Day to Day Homework:
Portfolio Problems:
Unit 3: Schedule and Objectives
Day 21
-- IVP for a bacterial growth
-- More Comments on Dirac Delta
Day 20
-- Laplace Transforms and Systems of ODEs
-- Laplace Transform, Dirac Delta, and Newtons Law
Day 19
-- Laplace Transforms and Shifting in Time
-- Lecture on Laplace Transforms and Periodic Functions
Day 18
-- Lecture on Integration and Dummy Variables
-- Solutions to ODEs expressed as integrals
-- Lecture on Laplace Transform and ODES
-- Laplace Transforms and ODEs
-- Lecture on Laplace Transform and Shifting in time
Day 16
-- Lecture on Laplace Transforms
-- Practice With Laplace Transforms
Day 15
-- Resonance
-- Lecture on Resonance and Consolidating Mathematical Understanding
-- Impulsive Forcing
-- Lecture on Dirac Delta Function
-- Dirac Delta Function
Day 13
-- Lecture on Sinh and Cosh
-- Higher Order Linear ODEs
-- Lecture on Higher Order Linear ODEs
-- Lecture on Linearity and Differential Operators
Day 10:
-- Worked Example in Cauchy Euler Equations
-- Lecture on Cauchy Euler ODEs
-- Prelude to Method of Undetermined Coefficients
Day 9:
-- Practice with constant coefficient ODEs Solutions
-- Lecture on Reduction of Order
Day 8:
-- Unit 1 exam resitting
-- Lecture on Linear Independence and the Wronskian
-- Lecture on Constant Coefficienty ODEs.
Day 7:
-- Theory of second order linear ODEs (homogeneous and inhomogeneous)
-- Practice with Second Order ODEs. Solutions
Day 6:
-- Lecture on Newton's Law and Circuits
-- Newton's Law
-- Forced Spring Systems
Day 4:
-- Interpreting Equations Physically
-- Practice Problems for Exam. Solutions
Day 3:
-- Stockpile of Radioactivity
-- Lecture on ODE Terminology and Integrating Factors
Day 2:
-- Lecture on Chemical Kinetics
-- Stockpile of Radioactivity
-- Phase Portraits and Direction Fields
-- Prelude to Integrating Factors
-- Lecture on 2D Phase Planes
--HW 2 - Due 15 Sep
Day 1:
--ODEs and Population Models. Solutions
--Translating a Population Model into a Heat Model. Solutions
--Lecture on Modeling
--Lecture on Separable ODEs
--HW 1 - Due 8 Sep