Course Information

The course text is One Variable Calculus - Concepts and Contexts, Fourth Edition, by James Stewart

Lecture Schedule

Problem Sets

Course Outline:

• Section 01 (MWRF 8)

Midterms and Solutions

• Midterm 1 and solutions
  Midterm 1 (2008) and solutions
• Midterm 2 and solutions
  Midterm 2 (2008) and solutions
• Midterm 3 (2008) and solutions

Chapter Review Sheets

• Chapter 7
• Chapter 6
• Chapter 5
• Chapter 4
• Chapter 3
• Chapter 2
• Chapter 1

Labs

• Lab 5 (more about length and volume)
• Lab 4 (numerical methods of integration)
• Lab 3 (Newton's method) and solutions.
• Lab 2 (derivatives, tangent lines, and linear approximation) and solutions
  Animation of the tangent lines as the point of tangency moves left to right.
• Lab 1 (parametric curves) and solutions
  Stroboscopic photographs by Harold Edgerton of a golfer swinging: I and II
  Animations of the polar graphs: r = cos 2t and r = cos 4t
  Lissajous figures: x = sin t, y = sin 2t and x = sin 2t, y = sin 3t

Miscellaneous Images, Animations, and Handouts

• Oscillators:
  • The simple harmonic oscillator (phase plane)
  • A frictionless pendulum with small and large initial displacement.
  • A damped pendulum.
• The logistic equation: Face-on view, and perspective view
• Integrals for practice
• Notes for Monday, October 19
• Zooming in on the graph of the nowhere-differentiable function
  y = cos(x) + cos(1000*x)/1000 + cos(1,000,000*x)/1,000,000 + ...
• Exponential functions

Miscellaneous Fun Stuff

• Space shuttle liftoff movie
• Review of Trigonometry
• Greek Alphabet

Your mathematics instructors are here to help you learn material; we are at Holy Cross because we love to teach and enjoy working with students. You should use our office hours, especially if you're having trouble with a course, but even if the course is going smoothly. Don't be a stranger!

There is an evening peer tutoring service, the Calculus Workshop, available to all Holy Cross students in first-year Math/CS courses. It meets in Swords 328 (for calculus) and Haberlin 408 (for computer labs) from 7:00-9:00 PM, Sunday through Thursday. (The service is closed the evenings just preceding and following holidays.) No appointments are made; tutors are available on a first-come, first-served basis.