Math 215 Section 201 Web Pages

Note: On the final you are allowed one (two-sided) sheet of notes, and a non-graphing calculator.

My office hours before the exam will be Tues, Wed, Thurs, Fri. 1:00-2:00.

Course Outline for Winter 2002

Drop-In Tutorial times for Math 215

Wednesday 3:00-4:00, Thursday 4:00-5:00, Friday 2:00-3:00, all in MSRC Room 3

Homework Assignments and Solutions

• Assignment 1 (with solutions), due Jan. 18
• Assignment 2 (with solutions), due Jan. 25
• Assignment 3 (with solutions), due Feb. 1
• Assignment 4 (with solutions), due Feb. 8
• Assignment 5 (with solutions), due Feb. 15
• Assignment 6 (with solutions), due Mar. 1
• Assignment 7 (with solutions), due Mar. 8
• Assignment 8 (with solutions), due Mar. 22
• Assignment 9 (with solutions), due April 5

Applets

Course Notes

• Introduction
• First Order Equations
  • Direction Fields
  • First-Order Linear Equations
  • Integration by Undetermined Coefficients
  • Mixing Problems
  • The Snowplow Problem
  • Separable Equations
  • Logistic Growth
  • Falling Bodies
  • Pop Flies
  • Falling Bodies in Space
  • Exact Equations
  • Integrating Factors
• Numerical Methods
  • Errors and Approximation
  • Euler Method
  • O and Order
  • Error Analysis for the Euler Method
  • Improved Euler Method
  • Fourth-Order Runge-Kutta Method
  • Richardson Extrapolation
  • Automatic Error and Step Size Control
• Second Order Linear Equations
  • Introduction to Second Order Linear Equations
  • Constant Coefficient Equations
  • Complex Numbers
  • Polar Coordinates for Complex Numbers
  • Constant Coefficients: Complex Roots
  • Free Vibrations
  • Designing a Measuring Instrument
  • Forced Vibrations
  • Method of Undetermined Coefficients
  • Reduction of Order
• Systems
  • First Order Systems
  • 2 x 2 Systems and Second-Order Equations
  • Eigenvalues and Eigenvectors
  • The Double Pendulum
  • Phase Portraits of Linear Systems
  • Phase Portraits of Nonlinear Systems
  • Predator and Prey

• Sample Exam Questions and Solutions
  • First Order Differential Equations
  • Numerical Methods
  • Second-Order Linear Equations
  • First Order Systems
• Solutions to First Midterm
• Solutions to Second Midterm