CALCULUS

Formulas: Differentiation and Integration

Right Triangle and Pythagorean Theorem         

Simplifying Rational Expressions         

Partial Fraction Decomposition         

Finding Limits Graphically and Numerically (Version 1)          video        

Finding Limits Graphically and Numerically (Version 2)          video        

Show graphically blank          video        

(ε-δ) Definition of Limit          video        

Continuity at a Point          video        

Intermediate Value Theorem          video        

Difference Quotient for Polynomial; Find f(x + Δx)          video        

Slope of Tangent Line at x = c (Version 1)          video        

Slope of Tangent Line at x = c (Version 2)          video        

Tangent Line (Writing Equation of )          video        

Draw Multiple Tangent Lines          video        

Derivative of f(x) at x (Version 1)          video        

Derivative of f(x) at x (Version 2)          video        

Derivative of f(x) at c (Version 1)          video        


Derivative of f(x) at c (Version 2)          video        

Derivative of Product and Quotient of Polynomial Functions         

Implicit Differentiation (draw Graph of function and tangent line)          video        

Rolle's Theorem (new version)          video        

Rolle's Theorem (old version)

Mean Value Theorem (for derivative)          video        

The First Derivative Test          video        
(Also, Test for Increasing and Decreasing Functions)

The Second Derivative Test          video        

Newton's Method and Approximating Zero of Function (New Version)          video        

Newton's Method and Approximating Zero of Function          video        

Area Under Curve and Riemann Sum for y = f(x) (Example: f(x) = x2 + 3x + 5 )         video        

Area Under Curve and Riemann Sum for x = g(y) (Example: g(y) = y3 - 5y + 5 )         video        

The Fundamental Theorem of Calculus          video        

Trapezoidal Rule for Definite Integral          video        

Simpson's Rule for Definite Integral          video        

Area Between Curves          video        

Solid of Revolution Revolving Around x-axis (or the line y = 0): Disk Method          video        

Solid of Revolution Revolving Around y = c: Washer Method          video        

Solid of Revolution Revolving Around y-axis (or the line x = 0): Disk Method          video        

Solid of Revolution Revolving Around x = c: Washer Method          video        

Solid of Revolution Revolving Around Vertical Line x = c: Shell Method          video        

Solid of Revolution Revolving Around Vertical Line x = c: Shell Method          video        

Solid of Revolution Revolving Around Horizontal Line y = c: Shell Method          video        

Solid of Revolution Revolving Around Horizontal Line y = c: Shell Method          video        

Arc Length          video        

Area of Surface of Revolution Revolving Around x-axis (or the line y = 0)          video        

Area of Surface of Revolution Revolving Around y-axis (or the line x = 0)          video        

Center of Mass of Planar Lamina With Uniform Density (ρ)          video        

Sequence and Series          video        

Finding limit of sequence {an}          video        

Generating and Finding Limit of Sequence of Partial Sums {Sn}          video        

Finding Sum of Series Σ          video        

nth Term Test          video        

Geometric Series Test          video        

Telescoping Series          video        

Derivation of Parabola Equation          video        

Derivation of Ellipse Equation          video        

Derivation of Hyperbola Equation          video        

Area of Polar Region          video        

Derivation of Polar Equation of Parabola          video        

Derivation of Polar Equation of Ellipse          video        

Derivation of Polar Equation of Hyperbola          video        

Vectors          video        

Rectangular, Cylindrical, Spherical Systems          video        

Directional Derivative