top of page

Unit 1: Limits and Continuity

youtube.png

Limits: Graph & Numeric

youtube.png

Limits: Analytic

youtube.png

Trigonometric Limits

youtube.png

The Squeeze Theorem

youtube.png

Continuous Functions

youtube.png

Finding Asymptotes Using Limits

Unit 2: Differentiation: Basic Derivatives

youtube.png

Average and Instantaneous Rate of Change

youtube.png

Definition of the Derivative

youtube.png

Equations of Tangent and Normal Lines

youtube.png

Continuity and Differentiability

youtube.png

Simple Rules of Differentiation

youtube.png

Derivative of Natural Logarithm

youtube.png

Derivative of Natural Exponential

youtube.png

Derivatives of Sine, Cosine, and Tangent

youtube.png

Product and Quotient Rules

youtube.png

Derivatives of Cosecant, Secant, and Cotangent

Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

youtube.png

Chain Rule

youtube.png

Implicit Differentiation

youtube.png

Derivatives of Inverse Functions

youtube.png

Derivatives of Inverse Trigonometric Functions

youtube.png

Higher-Order Derivatives

Unit 4: Contextual Applications of Derivatives

youtube.png

Position, Velocity, Acceleration

youtube.png

Related Rates

youtube.png

Linear Approximation

youtube.png

L'Hospital's Rule

Unit 5: Analytical Applications of Derivatives

youtube.png

Rolle's Theorem and Mean Value Theorem

youtube.png

Increasing and Decreasing Functions

youtube.png

Extrema and Optimization

youtube.png

Concavity and the Second Derivative

Unit 6: Integration and Accumulation of Change

youtube.png

Riemann Sums

youtube.png

Antiderivatives and Basic Integration Rules

youtube.png

First Fundamental Theorem of Calculus

youtube.png

Definite Integrals

youtube.png

Second Fundamental Theorem of Calculus

youtube.png

Functions Defined by Integrals

youtube.png

Integration by Substitution

youtube.png

Integration by Parts

youtube.png

Integration by Partial Fractions

youtube.png

Improper Integrals and L'Hôpital's Rule

Unit 7: Differential Equations

youtube.png

Slope Fields and Euler's Method

youtube.png

Separable Differential Equations

youtube.png

Exponential Growth and Decay

youtube.png

Logistic Differential Equations

Unit 8: Applications of Integration

youtube.png

Average Value of a Function

youtube.png

Area Between Curves

youtube.png

Volume by Cross-Sections

youtube.png

Volume by Disks and Washers

youtube.png

Arc Length

Unit 9: Parametric Equations, Polar Coordinates, & Vector-Valued Functions

youtube.png

Parametric Equations

youtube.png

Velocity and Acceleration Vectors

youtube.png

Speed and Total Distance

youtube.png

Slope of Tangent Line and Concavity

youtube.png

Polar Equations

youtube.png

Derivatives of Polar Functions

youtube.png

Area of Polar Curves

youtube.png

Area Between Polar Curves

Unit 10: Infinite Sequences and Series

Sequences, Series, and Partial Sums

youtube.png
youtube.png

Geometric Series, p-Series, nth Term Test

youtube.png

Direct Comparison, Limit Comparison, Ratio Test

youtube.png

Integral Test, Alternating Series Test

youtube.png

Power Series/Radius and Interval of Convergence

youtube.png

Maclaurin Series

youtube.png

Lagrange Error Bound

youtube.png

Taylor Series

bottom of page