AP Calculus BC Wednesday, 09 September 2015 OBJECTIVE TSW review for Friday’s test covering chapter 2. TO RECEIVE A DROP DAILY GRADE ON FRIDAY –Wear a.

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AP Calculus BC Wednesday, 09 September 2015 OBJECTIVE TSW review for Friday’s test covering chapter 2. TO RECEIVE A DROP DAILY GRADE ON FRIDAY –Wear a (preferably) JVHS shirt of some kind.

AP Calculus BC Thursday, 10 September 2015 OBJECTIVE TSW review for tomorrow’s test covering chapter 2. TO RECEIVE A DROP DAILY GRADE ON FRIDAY –Wear a (preferably) JVHS shirt of some kind.

WS Limits and Continuity

AP Calculus BC – Chapter 2 Test Topics Evaluate limits  From a graph (including left- and right-sided limits  By using a table  Algebraically When a limit DNE because the one-sided limits are different, state both one-sided limits and state that they are not equal before stating the limit DNE.

AP Calculus BC – Chapter 2 Test Topics Evaluate limits (continued)  one-sided limits;  involving special trigonometric functions.

AP Calculus BC – Chapter 2 Test Topics Evaluate limits (continued)  Use the ε - δ definition to find δ for a given ε.

AP Calculus BC – Chapter 2 Test Topics Continuity.  Know and use the Definition of Continuity: 1. is defined; 2. exists (explicitly state this);  Both one-sided limits must be stated before this can be determined. 3.  ∴ f (x) is x = c.

AP Calculus BC – Chapter 2 Test Topics Continuity (continued)  Know which functions are always continuous and their domains. Polynomial functions Rational functions Radical functions Trigonometric functions

AP Calculus BC – Chapter 2 Test Topics Continuity (continued)  Algebraically determine points of discontinuity. Removable and nonremovable. Gaps, holes, asymptotes  Use and apply the Intermediate Value Theorem. i. The function is continuous; ii. f (a) < k < f (b). ∴, by the IVT, there exists a c in [a, b] such that f (c) = k.

AP Calculus BC – Chapter 2 Test Topics Trigonometry  Values of all six trig functions at each special angle of the unit circle.  Double-angle formulas for sine and cosine.  Prove identities. Do not use identities to prove identies!

AP Calculus BC – Chapter 2 Test Topics What to study:  Your Notes  PowerPoints (they will be updated)  Assignments  Worksheets

AP Calculus BC – Chapter 2 Test Topics The test will be part with calculator and part without. Remember: The key to success is to communicate what you know, not just get a correct answer. Suggestion: Get together with a study group – there is power in numbers! Questions?