Lessons
The following links lead to videos, slides, handouts, and other resources to help to gain an in-depth understanding of concepts. These are also the resources that you will access, when and if you’re absent, to catch up.
- 01 - Equation and its graph
- 02 - Functions
- 03 - Limits
- 04 - Limit Laws
- 05 - Limit Techniques
- 06 - Continuous Functions
- 07 - Intermediate Value Theorem
- 08 - Infinite Limits and Vertical Asymptotes
- 09 - Tangent line to a curve
- 10 - Derivative Function
- 11 - Differentiability and Continuity
- 12 - Alternate form of the derivative
- 13 - Differentiation Rules
- 14 - Product Rule
- 15 - Quotient Rule
- 16 - Derivatives of Trigonometric Functions
- 17 - Chain Rule
- 18 - Chain Rule – Trigonometric Functions
- 19 - Implicit Differentiation
- 20 - Velocity Acceleration
- 21 - Related Rates
- 22 - Extreme Values
- 23 - Rolle’s Theorem and Mean Value Theorem
- 24 - Increasing Decreasing Functions
- 25 - Concavity and Second Derivative Test
- 26 - Horizontal Asymptotes
- 27 - Summary of Curve-Sketching
- 28 - Optimization
- 29 - Newton's Method
- 30 - Antiderivative
- 31 - Sigma Notation
- 32 - Area of a Plane Region
- 33 - Fundamental Theorem of Calculus
- 34 - Mean Value Theorem for Integrals
- 35 - Second Fundamental Theorem
- 36 - U-substitution
- 37 - Trapezoidal Rule
- 38 - Simpsons Rule
- 39 - Natural Log Function
- 40 - Derivative of a log function
- 41 - Log rule for integration
- 42 - Derivatives of Inverse Functions
- 43 - Natural Exponential Function
- 44 - Functions with bases other than e
- 45 - Derivatives and integrals of Inverse Trig Functions
- 46 - Slope Fields
- 47 - Euler's Method
- 48 - Separable Equations
- 49 - Growth-Decay-Logistic
- 50 - Area Between Two Curves
- 51 - Volumes by Cross-section
- 52 - Volumes - Disk Method
- 53 - Washer Method
- 54 - Shell Method
- 55 - Arc length
- 56 - Basic integration Rules
- 57 - Integration by parts
- 58 - Partial Fractions
- 59 - L’hopital’s Rule and indeterminate forms
- 60 - Improper Integrals
- 61 - Sequences – Definition and Limit
- 62 - Series and Convergence
- 63 - Integral Test and P-series
- 64 - Comparison of Series
- 65 - Alternating Series
- 66 - Conditional and absolute convergence
- 67 - Taylor Polynomials and Approximations
- 68 - Power Series
- 69 - Geometric Power Series
- 70 - Taylor and Maclauren Series
- 71 - Parametric Equations
- 72 - Polar Equations
- 73 - Derivatives and integrals of polar graphs
- 74 - AP Calculus Review
- Extras