Sean Fitzpatrick Courses

Precalculus Review: Basics

Syllabus: Review: The Real Number System.Review: Order of Operations.Review: Interval Notation.Review: Union and Intersection of Intervals.Review: Absolute Value.Review: Absolute Value Inequalities.Review: Fraction Addition, Part 1.Review: Fraction Addit…

• YouTube
• 1-2 hours worth of material
• Self paced
• Free Online Course

Precalculus Review: Algebra

Syllabus: Review - Algebra: Expanding.Review - Algebra: Binomial Theorem.Review - Algebra: Pascal's Triangle.Review - Algebra: Polynomial Terminology.Review - Algebra: Polynomials - Factors and Roots.Review - Algebra: Factoring Quadratics.Review - Algebr…

• YouTube
• 1-2 hours worth of material
• Self paced
• Free Online Course

Precalculus Review: Functions

Syllabus: Review: Functions - Introduction. Review: Functions - Definition. Review: Functions - Examples. Review: Functions - Notation. Review: Functions - Domain. Review: Functions - Graph Basics. Review: Functions - Arithmetic. Review: Functions - Comp…

• YouTube
• 2-3 hours worth of material
• Self paced
• Free Online Course

Precalculus Review: Graphs

Syllabus: Review: Lines. Review - Graphs: Polynomials. Review - Graphs: Rational - Example 1, Setup. Review - Graphs: Rational, Example 1, Plotting. Review - Graphs: Rational, Example 2. Review: Functions - Graph Basics. Review: Graphs - VSLT. Review: Gr…

• YouTube
• 1-2 hours worth of material
• Self paced
• Free Online Course

Precalculus Review: Trigonometry

Syllabus: Review: Trig - Triangles.Review: Trig - Unit Circle.Review: Trig - Radians.Review: Trig - Special Angles.Review: Trig - The Six Functions.Review: Trig - Graphs of Trig Functions.Review: Trig - Basic Identities.Review: Trig - Derived Identities.

• YouTube
• 1-2 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 1 - Limits

Syllabus: Limits: Introduction - 01. Calculus Overview. Limits: Introduction - 02. Concept of the Limit. Limits: Introduction - 03. sin(x) over x. Limits: Introduction - 04. Rational function, graphically. Limits: Introduction - 05. a Piecewise Function…

• YouTube
• 6 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 2 - Derivatives

Syllabus: Derivatives: Intro - 01. Introduction. Derivatives: Intro - 02. Definition. Derivatives: Intro - 03. Example (first version). Derivatives: Intro - 04. Example (second version). Derivatives: Intro - 05. Derivative As a Function. Derivatives: Int…

• YouTube
• 6 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 3 - Graph behaviour

Syllabus: Graphs: Extreme Values - 01. Absolute extrema. Graphs: Extreme Values - 02. EVT. Graphs: Extreme Values - 03. Relative extrema. Graphs: Extreme Values - 04. Critical Points. Graphs: Extreme Values - 05. Example. Graphs: Extreme Values - 06. Exa…

• YouTube
• 3-4 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 4 - Applications of the Derivative

Syllabus: Derivative Applications: Related Rates - 01. Intro. Derivative Applications: Related Rates - 02. Circumference. Derivative Applications: Related Rates - 03. Circle Area. Derivative Applications: Related Rates - 04. Water Flow. Derivative Applic…

• YouTube
• 3-4 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 5 - Integration

Syllabus: Integration: Antiderivatives - 01. Intro. Integration: Antiderivatives - 02. Definition and Indefinite Integrals. Integration: Antiderivatives - 03. Example. Integration: Antiderivatives - 04. Example. Integration: Antiderivatives - 05. Initial…

• YouTube
• 5 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 6 - Techniques of Antidifferentiation

Syllabus: Techniques of Integration: Substitution - 01. Intro. Techniques of Integration: Substitution - 02. Definite integrals. Techniques of Integration: Substitution - 03. Examples. Techniques of Integration: Substitution - 04. Example. Techniques…

• YouTube
• 7 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 7 - Applications of Integration

Syllabus: Applications of Integration: Area between curves - 01. Introduction. Applications of Integration: Area between curves - 02. Example 1. Applications of Integration: Area between curves - 03. Example 2, multiple intersections. Applications of Int…

• YouTube
• 2-3 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 8 - Differential Equations

Syllabus: Differential Equations: Basics - 01. Introduction. Differential Equations: Basics - 02. Solving an equation. Differential Equations: Basics - 03. Solving a second order equation. Differential Equations: Basics - 04. Verifying solutions. Differ…

• YouTube
• 2-3 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 9 - Sequences and Series

Syllabus: Sequences and Series: Sequences - 01. Intro. Sequences and Series: Sequences - 02. Example: Listing Terms. Sequences and Series: Sequences - 03. Example: Finding Formulas. Sequences and Series: Sequences - 04. Limits. Sequences and Series: Sequ…

• YouTube
• 8 hours worth of material
• Self paced
• Free Online Course

APEX Calculus: Chapter 10 - Plane Curves

Syllabus: Plane Curves: Conic Sections - 01. Intro. Plane Curves: Conic Sections - 02. Parabolas - Intro. Plane Curves: Conic Sections - 03. Parabolas - Example 1. Plane Curves: Conic Sections - 04. Parabolas Example 2. Plane Curves: Conic Sections - 05.…

• YouTube
• 4-5 hours worth of material
• Self paced
• Free Online Course