This is the updated set that is compliant with Title II of ADA. Please let me know if anything needs to be added or edited [email protected]
(*) Indicates a video that was not re-recorded for ADA, as I felt it was already compliant.
Red indicates videos that need remediation and will be linked when complete.
- Review
- U-Substitution
- Hyperbolic Trig Functions
- Applications of Integration
- Area Between Curves
- Volume by Cross-Sections
- Volume by Cylindrical Shells
- Arc Length
- Surface Area
- Physics Application – Work
- Integration Techniques
- Integration by Parts
- Development (*)
- Example (*)
- Table Method Example (*)
- Unorthodox Example (*)
- Development (*)
- Trigonometric Integrals
- Trigonometric Substitution (Redo These)
- Partial Fractions (Redo These)
- Linear Factors
- Linear Factors with Shortcut
- Linear Repeated Factors
- Simplifying Improper Fractions
- Irreducible Quadratic Factors
- Repeated Irreducible Quadratic Factors
- Integration by Parts
- Improper Integrals
- L’Hopital’s Rule
- Evaluating Improper Integrals
- Limits at Positive Infinity
- Limits at Negative Infinity
- Limits at Both Positive and Negative Infinity
- Integrals Containing a Discontinuity
- Divergent Example
- Comparing Improper Integrals
- P-Integrals
- Comparison for Ln(x)
- DCT – Development
- DCT Example (Convergent)
- DCT Example (Divergent)
- LCT – Development
- LCT – Example
- Sequences and Series
- Sequences
- Sequences and Series
- Convergence of Sequences
- Sequence Divergence to Infinity
- Limit Properties of Sequences
- Sandwich Thm. (Squeeze Thm.)
- Thm 4. (Continuous Function Thm. for Sequences)
- Thm. 5 (Common Limits)
- Infinite Series
- Series
- Geometric Series
- Example
- Telescoping Series
- Series Properties
- Useful Facts for Series
- Integral Test & Divergence Theorem
- Nth Term Test (Divergence Theorem)
- Integral Test Development
- Example
- P-Series
- Truncation Error – Development
- Example
- Comparison Tests
- Series – DCT – Development
- Example
- Series – LCT – Development
- Example
- Series – DCT – Development
- Alternating Series
- AST Development and Example
- AST – Fail
- Alternating Series Error Estimation
- Absolute Convergence – Definition
- ACT – Development
- Example
- Ratio & Root Test
- Ratio Test – Development 1
- Ratio Test – Development 2
- Example
- Root Test – Development
- Example
- Power Series
- Power Series – Introduction
- Interval of Convergence – Finite Interval
- Interval of Convergence – All Reals
- Interval of Convergence – Single Point
- Visualizing with Desmos
- Properties of Power Series
- Term-By-Term Differentiation
- Term-By-Term Integration
- Taylor Series
- Taylor Series – Introduction
- Taylor Series – Development
- Taylor Series – Natural Exponential
- Taylor Series – Sine
- Taylor’s Theorem
- Error Bounds for Taylor Polynomials
- Sequences
- Parametric Equations
- Parametric Equations
- Parametric Equations
- Non-Uniqueness of Parametric Equations
- (ADD) Analyzing a Parametric Equation using Its Component Graphs
- Parametrizing Circles
- Parametrizing Lines
- Calculus of Parametric Equations
- Slope of Parametric Curves
- Higher Order Derivatives
- Length of Parametric Curves
- Area Under Parametric Curves
- Surface Area of Revolution of Parametric Curves
- Parametric Equations
- Polar Equations
- Polar Coordinates
- Introduction
- Polar Curve:
- Polar Curve – Cardiod
- Slope of Polar Curves
- Calculus of Polar Equations
- Area in Polar
- Ex 1
- Ex 2
- Ex 3
- Length in Polar
- Ex
- Area in Polar
- Polar Coordinates