Calculus 2

Differential Equations

Separable Differential Equations & Growth and Decay Model

More Solving Separable Differential Equations

Half Life Carbon 14 Dating Exponential Decay

Area Between Curves

Area Between 2 Curves using Vertical and Horizontal Representative Rectangles

Area Under a Curve & Definite Integrals with TI NSPIRE

Volume of Solid of Revolution

Volume of Solid of Revolution Disk Method and Washer Method

Volumes of Solids with Known Cross Sections 3 Examples

Volume of Solid of Revolution Shell Method 3 Examples

Arc Length of a Curve Area of Surface of Revolution

Arc Length of a Curve ( Smooth Curve ) 5 Examples

Area of a Surface of Revolution

Review of Basic Integration Rules L'Hopital's Rule

Review of Basic Integration Rules - 6 Examples

L'Hopital's Rule Lesson 8 Examples (includes small correction)

More Applications of Integration

Work Done by a Variable Force 7 Examples

Work Done by a Variable Force Empty a Tank

Theorem of Pappus to find Volume of Revolution

Center of Mass in a 1 and 2 Dimensional System

Center of Mass in a Planar Lamina Centroid 3 Examples

Fluid Pressure & Fluid Force 4 Examples

Integration by Parts

Integration by Parts 6 Examples LIATE

Integration by Parts 2 Times 2 Examples

Definite Integration by Parts

Integration by Parts Tabular Method TIC TAC TOE

Integration: Trigonometric Integrals

Trigonometric Integrals Powers of Sine and Cosine 5 Examples

Trigonometric Integrals Powers of Tangent and Secant 5 Examples

Integration using Trigonometric Substitution 4 Examples

Definite Integration Trigonometric Substitution

Integrating Inverse Trigonometric Functions Trig Substitution

Partial Fractions Integration 3 Examples

Improper Integrals 5 Examples

Sequences and Series

Sequences in Calculus

Series and Convergence

Integral Test for Series Convergence or Divergence 4 Examples

p Series Test for Convergence or Divergence

Direct Comparison Test for Series 3 Examples

Limit Comparison Test for Series 3 Examples

Alternating Series Test and Estimating Series Sum w/ Maximum Error

Ratio Test for Convergence of Series

Root Test for Convergence of a Series

Taylor Polynomials & Estimation Error, Lagrange Remainder

Interval of Convergence of Power Series (3 Examples)

Differentiation and Integration of a Power Series

Power Series Representation of Functions

Taylor Series & Maclaurin Series

Polar Curves

Graphing Polar Equations, Test for Symmetry & 4 Examples

Slope and Tangent Line to Polar Curves

Parametric Equations

Introduction to Parametric Equations

Parametric Equations Eliminating Parameter T

Derivative of Parametric Equations

Tangent Lines to Parametric Curves