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