Calculus 2 with the Math Sorcerer

More Calculus 2 Than You Will Learn in Any Class, Guaranteed:)
How to Find the Derivatives of the Inverse Trigonometric Functions
How to Write a Trigonometric Expression in Algebraic Form
How to Find the Equation of the Tangent Line
How to Evaluate Integrals leading to Inverse Trigonometric Functions
How to Solve Simple Differential Equations Involving Inverse Trig Functions
How to Derive Some of the Inverse Trig Functions from Scratch
How to Find the Tangent Line using Implicit Differentiation
How to Find Relative Extrema using the First Derivative Test
The Definitions of the Hyperbolic Functions
How to Evaluate the Hyperbolic Functions
How to do Basic Proofs for Identities Involving the Hyperbolic Functions
How to Compute the Derivatives and Integrals of Hyperbolic Functions
How to Compute Definite Integrals with Hyperbolic Functions
How to Compute Limits, Tangent Lines, and Extrema in problems involving Hyperbolic Functions
How to Graph Some of the Hyperbolic Functions
How to Derive Some of the Hyperbolic Functions
How to Find the Area Between Two Curves using Calculus
How to use the Disk and Washer Methods to Find the Volume of a Solid of Revolution
How to use the Shell Method to Find the Volume of a Solid of Revolution
How to Derive the Formula for the Arc Length of a Curve
How to Find the Arc Length
How to Find the Surface Area for a Surface of Revolution
How to Derive the Formula for Work From Scratch Using Calculus
How to Find Work in Applications Involving Hooke's Law
How to Find the Center of Mass and the Center of Gravity
How to Compute Basic Integrals
How to Compute Basic Integrals using Formulas that Lead to the Natural Log
How to Compute Integrals with Bases other than e
How to Use the Integration by Parts Formula
How to Use Tabular Integration
How to Compute Integrals Involving Powers of Sine and Cosine
How to Compute Integrals Involving Powers of Secant and Tangent
How to Use Trigonometric Substitution
How to Integrate by first using Partial Fraction Decomposition
How to Evaluate Limits at Infinity
How to Use L'hopital's Rule
How to Determine if an Integral is Improper
How to Evaluate Improper Integrals with Infinite Limits
How to Evaluate Improper Integrals with Infinite Discontinuities
How to use the P-Test and the Comparison Test for Improper Integrals to Determine Convergence or Divergence
How to Write Parametric Equations in Rectangular Form
How to Graph Parametric Equations and Indicate the Orientation
How to Determine where a Curve is Not Smooth
How to Find the First Derivative and the Slope at a point given Parametric Equations
How to Find the Second Derivative and the Concavity at a point given Parametric Equations
How to Find the Open t-intervals where Parametric Equations are Concave Up and Concave Down
How to Find the Equation of the Tangent Line Given Parametric Equations and a Point (or a value of the parameter)
How to Determine the Vertical and Horizontal Tangent Lines Given Parametric Equations
How to Find the Arc Length Given Parametric Equations
How to Plot Polar Coordinates
How to Convert Polar Coordinates to Rectangular and Rectangular to Polar
How to Convert Polar Equations to Rectangular Equations and Rectangular Equations to Polar Equatoins
How to Find Area using Polar Coordinates
Understand the Definition of a Sequence
Understand what it means for a Sequence to Converge or Diverge
How to Find the Limit of Almost Any Sequence using Intuition and Growth Rates
Understand what a Series Actually is
Understand what it means for a Series to Converge and what it means to Diverge
How to Evaluate the Sum of a Series when the Series is Telescoping
Understand when a Geometric Series Converges and when it Diverges
How to Compute the Sum of a Convergent Geometric Series using a Formula(not found in books)
Understand How to Prove the nth Term Test
How to use the nth term test for Divergence
How to Use the Integral Test to Determine Convergence or Divergence of Series
How to use the p-test for Infinite Series
How to find the domain of the Riemann Zeta Function
How to use the Direct Comparison Test
How to use the Limit Comparison Test
How to use the Alternating Series Test
How to Determine if a Series Converges Absolutely or Conditionally or Diverges
How to use the Ratio Test
How to use the Root Test
How to Compute Maclaurin Polynomials
How to Compute Taylor Polynomials
How to use a Maclaurin Polynomial to Approximate a Function
Understand what a Power Series actually is
Understand The Convergence Theorem both rigorously and intuitively in both the Real Case and the Complex Case
How to Find the Center of a Power Series
How to Find the Radius of Convergence of a Power Series
How to Find the Interval of Convergence of Power Series
Understand Geometric Power Series
How to Write a Function as a Power Series and Find it's Interval of Convergence
How to Find a Power Series Representation of a Function by Differentiating First
Understand both Taylor and Maclaurin Series
How to Find both Taylor and Maclaurin Series