Calculus 1 Problem Solving
Welcome to the Calculus 1 problem solving videos. The goal of these videos is to help you understand the basics of problem solving for all of the topics included in the first semester of Calculus or AP Calculus AB. These videos go through selected problems from two textbooks: APEX Calculus (link here) and OpenStax Calculus Volume 1 (link here). Under each topic, there will also be a link to the relevant Khan Academy video series on that topic.
The best way to learn is to try to do the problems yourself, and watch the video on the relevant problem if you're struggling on how to approach it.
â€‹
If you've found these videos helpful, please let me know. And I do accept donations through PayPal for those who wish to support me. It does help me create more content and maintain these videos and the site.
Topics

Limits & Continuity (download problems)

Computing Limitsâ€‹

Graphical Limits

Limits of Piecewise Functions

Limits with Infinity

Limits with Trig Functions

Continuity

Intermediate Value Theorem

EpsilonDelta Definition of Limit


Derivatives Practice (download problems)

Using the Definition of the Derivativeâ€‹

Power Rule

Derivatives of Other Functions

Product Rule & Quotient Rule

Chain Rule

Tangent and Normal Lines

Implicit Differentiation


Applications of Derivatives (download problems)

Absolute and Relative Extremaâ€‹

Mean Value Theorem

Concavity and the Second Derivative Test

Related Rates

Optimization

Linear Approximation and Differentials

L'Hospital's Rule


Integration (download problems)

Antiderivativesâ€‹

Riemann Sums and the Definition of the Integral

The Definite Integral

Derivatives of Integrals (Fundamental Theorem of Calculus)

USubstitution


Applications of Integration (download problems)

Average Valueâ€‹

Area Between Curves

Volumes of Revolution (Washer/Disk method)

Volumes of Revolution (Shell Method)

Volumes using CrossSectional Areas


Mixed Applications (download problems)

Interpreting Graphsâ€‹

Motion Problems


Differential Equations (download problems)

Verifying Solutions to Differential Equationsâ€‹

Slope Fields

Separation of Varables
