1. Exact Accumulation and  AP Calculus

2. A). Sigma Notation REM: Ex.

3. Summation Formulas REM: Sum of the first 100 numbers. 1+2+3+…….+98+99+100

4. Finite Series EX 1. Evaluate using the formulas: EX 2. Evaluate using the formulas:

5. Infinite Series EX 3. Evaluate: REM: Limits at Infinity NOTICE: Inside: i is the variable. Outside: n is the variable EX 4. Evaluate:

6. AREA DEFN: The Area (accumulation) defined by a region in the plane is: We will use the RIGHT ENDPOINT and REGULAR PARTITIONS (easier!) THEOREM: The Limit ( as ) of the Under Approximation and the Over Approximation (and therefore any Riemann’s Sum) are equal.

7. a b a i th Rect. 1 st Rect. 2 nd Rect.

8. Area: Exact Accumulation Find the Area (accumulation) determined by the region bounded by and the x - axis on the interval [ 0, 2].

9. Area: Exact Accumulation Find the Area (accumulation) determined by the region bounded by and the x - axis on the interval [ 0, 3].

10. Area: Exact Accumulation Find the Area (accumulation) determined by the region bounded by and the x - axis on the interval [ 1, 2].

11. Area: Exact Accumulation Find the Area (accumulation) determined by the region bounded by and the x - axis on the interval [ 2, 4].

12. Last Update: 1/15/10 Assignment: Worksheet