Calculus 1 Review - Limits, Derivatives, & Integration (Patreon)

Calculus 1 Review - Limits, Derivatives, Continuity & Integration

This back to school calculus 1 review video tutorial provides a basic introduction into 3 core concepts taught in a typical AP calculus ab course or a first semester of college calculus. This video covers limits, continuity, derivatives and integration. Here is a list of topics: 1. Basic Introduction Into Limits 2. Evaluating Limits Using Direct Substitution 3. Limits - Factoring, Complex Fractions & Radicals / Square Roots 4. Multiplying By The Common Denominator & The Conjugate 5. Evaluating Limits Graphically 6. One Sided Limits 7. Limits and Continuity 8. Points of Discontinuity - Holes, Jump & Infinite Discontinuity 9. Removable vs Nonremovable Discontinuities 10. 3 Step Continuity Test 11. Limits, Continuity & Piecewise Functions 12. Definition of the Derivative Formula 13. Derivatives and Limits Examples & Concepts 14. Alternative Definition of the Derivative Formula 15. Derivatives - Power Rule - Monomials, Constants & Polynomial Functions 16. Antiderivatives & Integration 17. Definite Integral vs Indefinite Integral 18. Average Rate of Change vs Instantaneous Rate of Change 19. Slope of the Secant line vs Slope of the Tangent Line 20. Position, Velocity, and Acceleration 21. Distance vs Displacement 22. Speed vs Velocity - Scalar and Vector Quantities 23. Speeding Up vs Slowing Down Scenarios 24. Graphing Parent Functions - Linear, Quadratic, Cubic, Radical, Logarithmic, Sinusoidal & Exponential Functions 25. Slope and Area of a Velocity Time Graph 26. Slope of a Position Time Graph - Dimensional Analysis 27. Area of a Acceleration Time Graph