Calculus 1

Most of the following videos were created for an AP Calculus course using the 2015-2016 syllabus. Some topics are not covered in depth but are more of a surface understanding. Some Calculus topics are not included.

NOT ALL VIDEOS ARE CLOSED CAPTIONED but this process is being worked on.

Math 180 Spring 2019

Make sure you watch the videos on Playposit.com to earn credit. These are here only if you want to rewatch them.

Infinite Limits and Vertical Asymptotes

Continuity

Limits at Infinity and Horizontal Asymptotes

Definition of Derivative at x=a

Power Rule and more

Product/Quotient Rule & Trig Derivatives

Chain Rule

Implicit Differentiation

Rates of Change

Related Rates

Linear Approximxations

Antiderivatives

Approximating Area

Fundamental Theorem of Calculus

u-substitution

Integration by parts

Net Change

Extreme Values

Analyzing Critical Values

Optimization

Sketching the Graph of f(x)

LHopital's Rule

IVT/MVT/Rolle's Theorem

Integrals

Antiderivatives (≈ 29 min)

Differential Equations (≈ 30 min)

Areas and Distances (≈29 min )

Approximating Area:RAM (≈62 min )

Definite Integral (≈61 min)

Fundamental Theorem of Calculus (32 min)

FTC (Part 1) (≈23 min)

FTC (Part 2) (≈45 min)

AP RAM and TAM (≈37 min)

AP FTC (≈55 min)

Substitution Method (Indefinite Integrals) (≈30 min)

Substitution Method (Definite Integrals) (≈17 min)

Integrals involving Transcendental Functions (≈9 min)

Integration by Parts (≈ 27 min)

Partial Fraction Integration Basics (≈35 min)

Integral Test (for series) (≈8 min)

Methods of Integration (≈43 min)

(includes basic integrals using substitution, integration by parts, basic partial fraction decomposition)

Applications of Integration

Integral as a Net change (≈31 min)

AP Net Change (part 1) (≈55 min)

AP Net Change (part 2) (≈47 min)