MCS 122 Documents

• Initial survey (ps) (pdf)
• Review
• Derivative review (ps)
• Derivative facts (ps)
• Derivative skills (ps)
• Integration review (ps)
• Integration review answers, page 2 (ps)
• Techniques of integration
• Substitution I (ps) (pdf)
• Substitution II (ps) (pdf)
• Tables of integrals (ps) (pdf)
• Partial fractions (ps) (pdf)
• Trigonometric substitution (ps) (pdf)
• Errors: form
• Errors: in-class worksheet
• Errors: case study
• Improper integrals (ps) (pdf)
• Improper integrals: solutions (ps) (pdf)
• Using the definite integral
  • Arc length and volume of solids of revolution (ps) (pdf)
  • Work, force, and pressure (ps) (pdf)
  • Work, force, and pressure: answers (ps) (pdf)
  • Present and future value (ps) (pdf)
  • Probability distributions (ps) (pdf)
  • Probability distributions: answers (ps) (pdf) (Maple)
• Series
  • Geometric series (ps) (pdf)
  • Convergence of series (ps) (pdf)
  • Convergence tests and sums of series (ps) (pdf)
  • Convergence tests and sums of series: solutions side 1  side 2  Maple
  • Power series (ps) (pdf)
  • More power series (Get lots of practice!) (ps) (pdf)
  • More power series: solutions (ps) (pdf)
  • Testing Series for Convergence
• Approximating Functions
  • Taylor polynomial approximation of sin(x) near x=0
  • Taylor polynomial approximation of ln(x) near x=1
  • Taylor series, integration, and the standard normal distribution (ps) (pdf)
• Differential equations
  • S-I-R model
  • Predator-prey: robins and worms (html)
  • Symbiosis (html)
  • Komodo populations (ps) (pdf)
  • Komodo populations: Maple answers (html)
  • Phase plane analysis: Exercise 11.9 #11 (html)

Directions for printing ps (postscript) files.