Math 2414: Calculus II
These notes outlines are based on the calculus book by Thomas.
7.1: Inverse Functions and their Derivatives
7.2: Natural Logarithms
7.3: Exponential Functions
7.6: Inverse Trigonometric Functions
7.7: Hyperbolic Functions
8.1: Integration by Parts
8.2: Trigonometric Integrals
8.3: Trigonometric Substitution
8.4: Integration by Partial Fractions
8.5: Integral tables
8.6: Numerical Integration
7.5: Indeterminate Forms and L’Hospital’s Rule
7.8: Relative Rates of Growth
8.7: Improper Integrals
6.3: Arc Lengths
6.4: Areas of Surfaces of Revolution
11.1: Parametrizations of Plane Curves
11.2: Calculus with Parametric Curves
11.3: Polar Coordinates
11.4: Graphing in Polar Coordinates
11.5: Areas and Lengths in Polar Coordinates
10.1: Sequences
10.2: Infinite Series
10.3: The Integral Test
10.4: Comparison Tests
10.6: Alternating Series; Absolute and Conditional Convergence
10.5: The Root and Ratio Tests
10.2: Infinite Series-Solutions
10.3: The Integral Test-Solutions
10.4: Comparison Tests-Solutions
10.6: Alternating Series-Solutions
10.5: Root and Ratio-Tests-Solutions
7.4: Exponential Change and Separable Differential Equations
Notes above have been updated for 12th edition. Notes below are not yet updated.Thank you for your patience!