MATHEMATICA NOTEBOOKS  FOR MATH 202

The following notebooks were used in class to accompany the lectures listed.

• Section 6.1 -- Area Between Curves

• Section 6.2 -- Volumes Using Disks and Washers; Volumes Using Slicing

• Section 6.3 -- Volumes Using Cylindrical Shells

• Section 6.4 -- Arc Length

• Section 6.5 -- Surface Area

• Section 6.6 -- Work
   

• Section 7.2 -- Integration by Parts

• Section 7.3 -- Trigonometric Integrals

• Section 7.4 -- Trigonometric Substitutions

• Section 7.5 -- Integrating Rational Functions with Partial Fractions

• Section 7.7 -- Numerical Integration; Simpson's Rule

• Section 7.8 -- Improper Integrals
   

• Section 8.1 -- Introduction to Differential Equations

• Section 8.2 -- Separation of Variables

• Section 8.3 -- Slope Fields and Euler's Method

• Section 9.7 -- Taylor Polynomials (calculations)

• Section 9.7 -- Taylor Polynomials (remainder estimation)
   

• Section 9.1 -- Sequences

• Section 9.2 -- Monotone Sequences

• Section 9.3 -- Infinite Series

• Section 9.4 -- Convergence Tests (The Divergence Test)

• Section 9.4 -- Convergence Tests (The Integral Test)

• Section 9.5 -- The Limit Comparison Test

• Section 9.5 -- The Ratio and Root Tests

• Section 9.6 -- The Alternating Series Test

• Section 9.6 -- Absolute and Conditional Convergence
  ]

• Section 9.8 -- Taylor and Maclaurin Series; Power Series

• Section 9.9 -- Convergence of Taylor Series

• Section 9.10 -- Differentiating and Integrating Power Series
   

• Section 10.1 -- Parametric Equations; Tangent Lines and Arc Length for Parametric Curves

• Section 10.2 -- Polar Coordinates

• Section 10.3 --Tangent Lines, Arc Length, and Area for Polar Curves

• Section 10.4 -- Conic Sections