AP Calculus AB - Spring 2006 Mr Ryono's website: ryono.net Day 1(1/23) - Volumes of Rotation Disk Method (also 'Washers' Right Triangle Trig Trick Derivatives of Inverse Functions Calculator review for integration Hwk: p.368 #15-42(6k) calculator? /p.397 #50,52,54,56 p.407 #1-12(6k) Day 2(1/25) - Shell Method - Volumes Derivatives of Inverse Functions The derivative of the inverse of y=e^x More of the Rt Triangle Trig Trick Hwk: p.368 #15-42(6k+1) /p.397 #51,53,55,57 p.407 #1-12(6k+1) Day 3(1/27) - Shell Method - Volumes Derivatives of Inverse Functions (Notes) The derivative of the inverse of y=Sinx Differential Equations - variable separable method p.343 ex 1/ general vs particular solution f' graphs - finish practice quiz Hwk: p.368 #15-42(6k+2) p.407 #1-12(6k+2) /p.414 #1-12(6k+2) Day 4(1/31) - Average Value of a Function (vs Mean Value Theorem - later!) -practice quiz Exponential Growth and Decay Doubling (tripling) Time and Half-life bacteria,population,investments with interest radioactive decay, leakage problems -Volumes p.407 #24 -Rotation About Other Lines Integration - finish practice quiz f' graphs - Quiz Hwk: p.343 #1,5,9 /p.489 #1,10 /p.506 #49 p.407 #1-12(6k+3) /p.414 #1-12(6k+3) Day 5(2/2) - Differential Eq. & Growth/Decay -practice quiz -Volumes p.407 #30 Integration - Quiz Hwk: p.343 #4,8,10 /p.489 #2,11 /p.506 #51 p.407 #1-12(6k+4) /p.414 #1-12(6k+4) Day 6(2/6) - Volumes (Disk & Shell) Hwk: p.343 #15,17 /p.489 #6,16 /p.506 #52 p.407 #1-12(6k+5) /p.414 #1-12(6k+5) Day 7(2/8) - Growth & Decay Solving Differential Equations by... the 'Variable Separable' method more Volumes p.408 #52 Hwk: p.343 #16,18 /p.489 #4,15 p.407 #13,21,51 p.414 #1-12(6k+1) Day 8(2/10) - Volumes of Rotation - Quiz y' graphs & number lines - Quiz Hwk: p.343 #6,23 /p.489 #5,13 p.407 #14,24,53 p.414 #13,21 Day 9(2/14) - Average Value of a Function AV(f(x)) - practice quiz Hwk: p.343 #7,26 /p.407 #15,28,54 p.414 #14,23 /p.437 #25-36(6k+1) p.449 #31-36,38-45(6k+1) /p.467 #5-40(6k+1) Day 10(2/16) - Volumes with different cross-sections examples #1,#2 Integration - Requiz Growth & Decay (Differential Equations) - Quiz Hwk: p.407 #16,29,55 /p.414 #15,24 p.437 #25-36(6k+2) /p.449 #31-36,38-45(6k+2) p.467 #5-40(6k+2) Day 11(2/22) - Volumes with different cross-sections example #3 (see Notes) finish AV(f(x)) - practice quiz Volumes of Rotation - Requiz Hwk: p.387 #7-15(odd) /p.396 #1-11(odd) p.467 #5-40(8k+3) Day 12(2/24) - Mean Value Theorem and Rolle's Theorem - practice quiz Volumes of Rotation - Re-requiz Hwk: p.387 #10,12,14 /p.396 #2-12(even) p.467 #5-40(8k+4) Day 13(2/28) - Precalc y=f(|x|),y=|f(x)| - finish practice quiz Growth & Decay - Requiz Hwk: p.234 #1,3,11,17 /p.420 #77,79,83,85 p.528 #1-17(4n+1) Day 14(3/2) - Riemann(rectangle) Sums - practice quiz Mean Value Theorem (Rolle's Thm also) y' graphs - practice quiz Hwk: p.234 #2,4,12,18 /p.420 #78,80,84,88 p.528 #1-17(4n+2) Day 15(3/6) - 1998 AB Multiple Choice with calculator (#85-92) Hwk: p.528 #1-17(4n+3) /p.103 #1-14,27-92,97-102(10n+1) Day 16(3/8) - 1998 AB Multiple Choice (with calculator) Derivatives of trig/log/exponential functions - practice quiz Hwk: p.528 #1-17(4n) /p.103 #1-14,27-92,97-102(10n+2) Day 17(3/10) - 1998 AB Multiple Choice (no calculator) Integral Functions F(x), where f(x)=F'(x) ex/ How much oil (total) has leaked out over time? ex/ How much distance is traveled over time? Average Value - Quiz Hwk: p.529 #65,66,69 p.103 #1-14,27-92,97-102(10n+3) Day 18(3/15) - 1998 AB Multiple Choice (no calculator) Slope Fields Mean Value Thm - Quiz Hwk: p.529 #67,68,73 p.103 #1-14,27-92,97-102(10n+4) Day 19(3/17) - Integral Functions Requiz - AV(f(x)) Quiz - Riemann Sums Hwk: p.529 #70,72,74 p.103 #1-14,27-92,97-102(10n+5) Day 20(3/21) - Slope Fields Hwk: p.529 #75,76,79 p.103 #1-14,27-92,97-102(10n+6) Day 21(3/23) - 1993 AP Multiple Choice with calculator (finished #1-20) Mean Value Theorem - Quiz Hwk: 1988 Multiple Choice (show scratch work) Day 22(3/27) - Go over 1988 MC Homework* Hwk: p.529 #77,80,86 p.103 #1-14,27-92,97-102(10n+7) Day 23(3/29) - Finish 1988 MC Homework 1993 AP Multiple Choice with calculator Differentiation of log,exp,trig functions practice quiz (DG1) Hwk: p.103 #1-14,27-92,97-102(10n+8) Day 24(3/31) - Differentials Linear Approximations using differentials Precalc (surprise quiz?) Hwk: *1998 Free Response Problems Day 25(4/4) - Go over 1998 free response homework Hwk: p.103 #1-14,27-92,97-102(10n+9) Day 26(4/6) - Quiz - Differentiation (DG1) Hwk: 1985 AB Multiple Choice (show scratch work) Coming after break... Multiple Choice Tests (with and without calculators - unannounced) --------- spring break -------- Day 27(4/17) - Go over 1985 MC Hwk: p.103 #1-14,27-92,97-102(10n) 2003 AP Free Response (4/19) - No Class (CST) Day 28(4/21) - Go over 2003 Free Response Hwk: 2004 AP Free Response Day 29(4/25) - 2003 AP Multiple Choice (Part A) surprise test (no calculator) Day 30(4/27) - Go over 2003 MC (parts A and B) with calculator Check out a calculator (with a good battery!) Hwk: Study for AP Exam (Wednesday) ------------ AP Exams - 1st 2 weeks in May ---------- Day 31(5/1) - AP Exam Review (last day!) Hwk: Study for AP Exam (Wednesday) Day 32(5/3) - AP Exam! Day 33(5/5) - Go Over 2006 AP Exam Free Response Problems Day 34(5/9) - Makeup Work Day 35(5/11) - More Review Day 36(5/15) - Study Period Turn in AP Notebooks Day 37(5/17) - Go Over 2006 AP Exam Free Response Problems Day 38(5/19) - Advanced Topics Quadric Surfaces Partial Derivatives Vector Calculus Multiple Integrals