Chapters 1&2 Notes 1a
BC Calculus - Limit Theorems 1-4
BC Calculus - Limit Theorems 5-9
BC Calculus - Limit Theorems 10-16
Proving the SLIDE THEOREM
Proving d(sin x)/dx = cos x
Graphing Calculator - Sine 1a
Graphing Calculator - Sine 1b
Graphing Calculator - Sine 1c
Visual Calculus - Limits & Continuity - University of Tennessee, Knoxville
BC Calculus - Derivative Theorems 10-16 (Power Rule)
Proof: f differentiable implies f continuous
Quotient Rule - Rational Functions
Quotient Rule - Trig Functions
Chain Rule - Changing Area of a Rectangle
See Physics Notes on Kinematics and Constant Acceleration and Law of Falling Bodies
Visual Calculus - Derivatives
Related Rates 1.0 - Circular Ripple/Movement Along a Curve/Cylinders or Spheres
Related Rates 1.0 Slideshow
Related Rates 2.0 - Ladder/Conical Tank/Street Light Problems
Related Rates 2.0 - Solutions
Related Rates 2.0 Slideshow
Related Rates 3.0 - Distance/Angle of Elevation/Water Trough Problems
Related Rates 3.0 - Solutions
Related Rates 3.0 Slideshow
1st and 2nd Derivative Number Lines 1.0 - Parabolic & Cubic & Cusp Point Graphs
1st and 2nd Derivative Number Lines 2.0 - Reciprocal & 1/x2 & y = |x| Functions
Max/Min & Graphs
Mike Kelley's cool FLASH TUTORIALS! - Chapter 2
Visual Calculus - Applications of Differentiation
Definite Integrals vs Area under a curve
Indefinite Integrals (antiderivatives)
Substitution Method (backward chain rule?)
Riemann Sums (Trapezoidal and Simpson Rules)
Visual Calculus - Integration
Area of a Circle
Area of an Ellipse
Volume by Shell and Disk Methods
Volume - Square Cross-sections
Volume - Triangular Cross-sections (variable height)
Volume - Equilateral Triangle Cross-sections
Cal Poly Quiz - Volume with Similar Cross-sections
Volume of 2 Spheres
Area of a Frustum (Sector & Cone also!)
Alex Lloyd's Volumes with CAD & Computer-controlled Milling
Visual Calculus - Applications of Integration
Partial Fraction Decomposition
Linear Factors - Distinct & Repeated
Quadratic Factors - Distinct & Repeated
Problems & Answers