You found us. Great! This site is designed to supplement your Calculus course or to serve as a Calculus refresher. We also have some Pre-Calculus material including Unit Circle.

Below are various calculus topics, including chain rule derivatives, power and quotient rule derivatives, integration by substitution, integration by parts, and much more. Choose one and click on the link to view a short calculus video tutorial. This site zooms in on the basics of each topic and allows you to learn at your own pace. I wish you all the best in your Calculus journey.

**A Little Algebra**

Adding and Subtracting Rational Expressions

Factoring and Simplifying

FOIL and Difference of Squares

**Trigonometry**

Reference Angles

Simplifying Trigonometric Expressions

**Unit Circle**

Part 1: Dividing into Parts

Part 2: Finding the Sine

Part 3. Degrees

Part 4. SOHCAHTOA

Part 5. Outside the First Quadrant

**Natural Log Rules**

Logarithm Rules

**Exponent Rules**

Exponent Rules

**Limits**

The Basics

Once-Sided

Infinite Limits

**Derivatives**

Factoring and Simplifying Derivatives

Power Rule

Product Rule

Quotient Rule

Chain Rule: The Basics

Chain Rule: Exponential and Log Examples

Chain Rule: Trig and Square Root Examples

Chain Rule and Quotient Rule Combined

Implicit Differentiation

Implicit Differentiation and the Equation of a Tangent Line

**Applications of Differentiation**

Critical Numbers

Finding Extrema on a Closed Interval

Rolle’s Theorem

Mean Value Theorem

The First Derivative Test

Concavity

Points of Inflection

The Second Derivative Test

Limits at Infinity

**Integrals**

Integration with Power Rule

Integration by Substitution: The Basics

Integration by Substitution: Another Example

Integration by Substitution: Exponentials

Integration by Substitution: Trigonometric Functions

Integration by Substitution: ‘u’ in the denominator

Integration of a Definite Integral with an Absolute Value Function

Integration of ln x Using u Substitution

**Advanced Limits**

L’Hopital’s Rule Part 1

L’Hopital’s Rule Part 2

**Advanced Derivatives**

Derivatives of Inverse Trigonometric Functions

Derivatives of Exponentials without ‘e’ as the base

Derivatives of Logarithms without ‘e’ as the base

**Advanced Integrals**

Integration of Exponentials without ‘e’ as the base

Integration by Parts: Algebraic and Exponential Functions

Integration by Parts: Natural Logarithm Functions

Integration by Parts: The Tabular Method

Trigonometric Integrals: Powers of Sine and Cosine

The Shell Method: Calculating Volume with Integration

The Washer Method: Calculating Volume with Integration

The Disk Method: Revolving around the x-axis

The Disk Method with a Vertical Axis of Revolution

Trigonometric Substitution

Trigonometric Substitution Example #2

Trigonometric Substitution Example #3

Integration with the Sine Function Raised to an Even Power

Integration of the Tangent Function When Raised to an Even Power

Integration using Partial Fractions

Integration using Partial Fractions with Repeated Linear Factors