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AP Calculus BC Friday, 05 September 2014

AP Calculus BC Friday, 05 September 2014. OBJECTIVE TSW review for Monday’s test covering sec. 1.2 – 1.5 and trigonometry. T-Shirt money is due by next Friday, 09/12/14. S – XL $8.00 2XL – 4XL $10.00 ASSIGNMENTS DUE MONDAY Sec. 1.4 Sec. 1.5 WS Limits WS Sec. 1.3 – 1.4.

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AP Calculus BC Friday, 05 September 2014

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  1. AP Calculus BCFriday, 05 September 2014 • OBJECTIVETSW review for Monday’s test covering sec. 1.2 – 1.5 and trigonometry. • T-Shirt money is due by next Friday, 09/12/14. • S – XL $8.00 • 2XL – 4XL $10.00 • ASSIGNMENTS DUE MONDAY • Sec. 1.4 • Sec. 1.5 • WS Limits • WS Sec. 1.3 – 1.4

  2. New T-Shirt Design This Year (Front) FALCON CALCULUS (Back) “Calculus has its limits.” - Anonymous

  3. AP Calculus BC – Chapter 1 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.

  4. AP Calculus BC – Chapter 1 Test Topics • Evaluate limits (continued) • one-sided limits; • involving special trigonometric functions.

  5. AP Calculus BC – Chapter 1 Test Topics • Evaluate limits (continued) • Use the ε-δ definition to find δ for a given ε.

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

  7. AP Calculus BC – Chapter 1 Test Topics • Continuity (continued) • Know which functions are always continuous and their domains. • Polynomial functions • Rational functions • Radical functions • Trigonometric functions

  8. AP Calculus BC – Chapter 1 Test Topics • Continuity (continued) • Algebraically determine points of discontinuity. • Removable and nonremovable. • Gaps, holes, asymptotes • Use and apply the Intermediate Value Theorem. • The function is continuous; • f (a) < k < f (b). ∴, by the IVT, there exists a c in [a, b] such thatf (c) = k.

  9. AP Calculus BC – Chapter 1 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!

  10. AP Calculus BC – Chapter 1 Test Topics • What to study: • Your Notes • PowerPoints (they will be updated) • Assignments • Quiz 1.2-1.3 & Trig Review • WS Trig Review • WS Limits • WS Sec. 1.3 – 1.4

  11. AP Calculus BC – Chapter 1 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! • Wear a Falcon shirt, preferably purple !

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