Comp Book Required Notes

Title and index each section- 

1. Graphs of Parent functions- w Transformation examples, Even/Odd, Identify Discontinuity (if any), Domain, Range
2. Limits to a number for different functions; Limits to a number for Trig functions 
3. Limits to infinity for different functions; Limits to infinity for Trig functions
4. Limits of piecewise functions
5. Proving Continuity of piecewise functions
6. Proving Differentiability of piecewise functions
7. IVT. Intermediate Value Theorem
8. Rolles Theorem
9. MVT. Mean Value Theorem
10. Derivatives- PowerRule, Product Rule, Quotient Rule, Chain Rule
11. Derivative Rules - Sin x,  Square Root, Ln(x)...etc
12. LIMIT Definition of Derivatives- 1) The long method and 2) Short-Cut.
13. Tangent Lines- Many examples of different types of problems
14. Derivatives -Given a Table Example (h(x) + g(x), h(x)•g(x), h(x)/g(x), h(g(x)) 
15. Position, Speed, Velocity, Acceleration, and Average Rate Notes and examples 
16. 1st Derivative test- Critical Points, Relative Min and Max, Increasing/Decreasing 
17. 2nd Derivative Test- Points of Inflictions (POI), Concavity
18. Global or Absolute (Extrema) Values- Candidate Test 
19. Relationships between  f, f ', f ''
20. Implicit Differentiation
21. Related Rates  
22. Antiderivatives / Integral Rules Chart
23. Definite Integral and Properties of Def. Intg.  
24. Graph Analysis -Integral as Area
25. Point of Inflection- POI, 2nd Derivative; Concavity 
26. FTC
27. FTC Examples
28. FTC 2 - (Derivative of Integral as inverse operations)
29. FTC 2 Examples
30. U- Substitution Examples
31. Riemann Sum- 4 types
32. Area Between Curves- using dx or dy
33. Volumes of solids- Rotating horizontal dx or Vertical dy
34. Volumes of Cross Sections
35. Solving Differentials
36. Slope Fields