**Limits**

2_Finding Limits Graphically and Numerically

3_Evaluating Limits Analytically

4_Continuity and One Sided Limits

5_Infinite Limits (vertical asymptotes)

6_Limits at Infinity (horizontal asymptotes)

**Derivatives**

7_Definition of the Derivative and the Tangent Line

8_Differentiability

9_Derivatives and Rules

10_Limit Definition Recognition

11_Graphing Functions and their Derivatives

12_product-and-quotient-rules

13_Derivatives of Trigonometric Functions

14_Velocity and Acceleration

15_Chain Rule

16_Implicit Differentiation

17_Related Ratess

18_introduction-to-e-and-ln-x

**Applications of Derivatives**

19_Extrema on an Interval

20_Increasing Decreasing Functions and the First Derivative Test

21_Concavity and the Second Derivative

22_2nd Derivative Analyzed

23_Connecting The Graphs of f, f’, f”

24_Mean Value Theorem

25_Optimization

26_Curve Sketching

26a__inverse-trig-derivatives-and-integrals

26c_Derivative of Log and a to the x

**Integrals**

27_Basic Integration

28_Integration by Substitution

29_Riemann Sums and The Definite Integral

30_Riemann Sums as Summation Formula and Summation Definition

31_Fundamental Theorem of Calculus

32_2nd FTofC Free Response 1999_5 2002_4

**Applications of Integrals**

33_Integration as Accumulation of Change

34_Integration and Accumulation Free Response

35_Area Between Two Curves

36_Volume The Disk Method

37_Arc Length

38_Integration by Parts

**Differential Equations**

39_Solving Differential Equations Growth and Decay

40_Differential Equations, Slope Field and Eulers

41_Partial Fraction Decomposition Day 1

42_Logistic Growth

43_L’Hopital’s Rule

44_Improper Integrals

**Sequence and Series**

45_Sequence

46_Series

47_Integral and P test

48_Series Comparison Tests

49_Alternating Series

50_The Ratio Test

51_Intro to Power Series IOC

52_Representing Functions by Power Series

53_Taylor Maclaurin and Polynomial Approximations