Single Variable Calculus II

6.1 Inverse Functions +

6.2 Exponential Functions and Their Derivatives +

6.3 Logarithmic Functions +

6.4 Derivatives of Logarithmic Functions +

6.5 Exponential Growth and Decay +

6.6 Inverse Trigonometric Functions +

6.7 Hyperbolic Functions +

6.8 Indeterminate Forms and l'Hospital's Rule +

7.1 Integration by Parts +

7.2 Trigonometric Integrals +

7.3 Trigonometric Substitution +

7.4 Integration of Rational Functions by Partial Fractions +

7.5 Strategy for Integration +

7.6 Integration Using Tables and Computer Algebra Systems +

7.7 Approximate Integration +

7.8 Improper Integrals +

8.1 Arc Length +

8.2 Area of a Surface of Revolution +

8.3 Applications to Physics and Engineering +

9.3 Separable [Differential] Equations +

10.1 Curves Defined by Parametric Equations +

10.2 Calculus with Parametric Curves +

10.3 Polar Coordinates +

10.4 Areas and Lengths in Polar Coordinates +

11.1 Sequences +

11.2 Series +

11.3 The Integral Test and Estimates of Sums +

11.4 The Comparison Tests +

11.5 Alternating Series +

11.6 Absolute Convergence and the Ratio and Root Tests +

◆ Tests for Convergence Summary +

11.7 Strategy for Testing Series +

11.8 Power Series +

11.9 Representations of Functions as Power Series +

11.10 Taylor and Maclaurin Series +

11.11 Applications of Taylor Polynomials +