Period 7 BC CalculusSunday 19/10/2008 [ ]day 2 Warm up – 10 minutes Sample AP Free Response – differentiation rules Surprise, surprise; this is like an exam question, so pay attention Implicit differentiation - 20 minutes First, this is not on the differentiation rules exam What happens when you can’t express f(x)? How do we find the derivative of an inverse? Quiz – applied rates and trigonometric derivatives – 30 minutesHomework Part II of Chain rule homework Announcements Exam – differentiation rules – day 5 Note: mastery of the rules is expected. You should prepare to achieve 100% on the upcoming exam

Period 7 BC CalculusMonday 20/10/2008 [ ]day 3 Warm up – 10 minutes Practice implicit differentiation Implicit differentiation [cont] - 20 minutes X as a function of y Equation of tangent lines Inverse trig Orthogonal trajectories Higher Derivatives – 25 minutes Graphs Higher implicit derivatives Formulas Review quiz – 10 minutesHomework Study for exam Homework for implicit and higher derivatives will be given after the exam Announcements Exam – differentiation rules – day 5 Note: mastery of the rules is expected. You should prepare to achieve 100% on the upcoming exam

Period 7 BC CalculusWednesday 22/10/2008 [ ]day 5 Warm up – 10 minutes What is the AP Calculus BC exam? What is the format of the exam? What do I have to learn? What is Mr. Carreon going to teach me? Exam – differentiation rules – 45 minutesHomework 2.5 #7, 11, 24, 37, 45, 49, 59, 65 Handout 3.7 #16, 18, 20, 23, 27, 42, 47, 59 Announcements

Period 7 BC CalculusSunday 26/10/2008 [ ]day 7 Warm up – 10 minutes Exam review/correct/discuss Derivatives of exponential and logarithmic functions Derivative of logs from implicit differentiation Chain rule with e and ln Logarithmic differentiation e as a limit Homework See handout – this will be due day 2, but you’ll have other hw. Announcements Quiz – derivatives of exp and log functions – day 2 Exam – applications of the derivative I – day 5

Period 7 BC CalculusMonday 27/10/2008 [ ]day 8 Warm up – 10 minutes Page 148 #77 Linear approximations and differentials – 35 minutes Approximating function values Applications (First-degree Taylor polynomials) The differential Relative error Introduce lab project – Taylor polynomials – 5 minutesHomework Q&A – 15 minutes Homework 3.9 #15, 17, 23, 27, 33, 43, 45, 49, 52 Q & A day 3 Announcements Quiz – derivatives of exp and log functions – day 2 Exam – applications of the derivative I – day 5

Period 7 BC CalculusWednesday 29/10/2008 [ ]day 2 Warm up – 15 minutes Begin Taylor Polynomial Lab Introduction to related rates – 25 minutes Everything changes with time Triangles Rectangular areas Conical piles Quiz – derivatives of exp and log functions – 30 minutesHomework 2.6 #3, 7, 13, 15, Announcements Exam – applications of the derivative I –day 5

Period 7 BC CalculusSunday 2/11/2008 [ ]day 3 Warm up – 15 minutes Continue Taylor Polynomial Lab Related rates – 50 minutes Everything changes with time Triangles Rectangular areas Conical piles Trough of water Planes, trains, and automobiles Rotational related rates Homework 2.6 #3, 7, 13, 15, Announcements Exam – applications of the derivative I –day 5 (this Tuesday) Quiz – related rates - day 8 (next Sunday)

Period 7 BC CalculusTuesday 5/11/2008 [ ]day 5 Warm up Discuss conclusions of Taylor Polynomial Lab Exam – applications of the derivative I - 50 minutesHomework Finish, correct related rates homework Announcements Quiz – related rates - day 8

Period 7 BC CalculusSaturday 8/11/2008 [ ]day 7 Warm up – 10 minutes Review/correct/discuss exams Maximum and minimum values – 40 minutes What is an absolute max/min? What is a relative max/min? What is a critical value? Extreme Value Theorem and applications Homework 3.1 #15, 23, 28, 33, 36, 39, 42, *45-51odd, *59, *60 * Means calculator okay Announcements Quiz – related rates - day 8 Exam – applications of derivatives II ~ Nov 19

Period 7 BC CalculusSunday 9/11/2008 [ ]day 8 Warm up – 10 minutes Review/correct discuss homework Rolle’s Theorem and the Mean Value Theorem – 30 minutes Remember, these are existence theorems Definitions Applications! Quiz – related rates – 25 minutesHomework 3.2 #3, 14, 21, 27, 30, 32, 37, 38, 40, 48, 52, 57, 67 Pay attention to calc/no calc directions Word problems calculator always okay Announcements Exam – applications of derivatives II ~ Nov 19

Period 7 BC CalculusTuesday 11/11/2008 [ ]day 2 Warm up – 10 minutes Review/correct quiz How derivatives affect/reflect the shape of a graph Increasing/decreasing Concavity Points of inflection 1 st and 2 nd derivative tests – clarification of critical values Homework 3.3 #13, 15, 27, 39, 43, 49, 55-63odd, #5, 13, 21, 31, 37, 43, 51, 53, 61 Due day 5 Announcements Exam – applications of derivatives II ~ Day 8 (Nov 19) Quiz – curve sketching with and without calculators ~ Nov 24

Period 7 BC CalculusWednesday 12/11/2008 [ ]day 3 Warm up – 15 minutes 3.3 #95, 97, # Indeterminate forms and L’Hospital’s Rule What is an indeterminate form? Why does L’Hospital rely on a quotient? Indeterminate powers Note: this ends the applications of derivatives II topics Homework 8.7 #15 – 57 e.o.o. Announcements Exam – applications of derivatives II ~ Nov 19 Quiz – curve sketching with and without calculators ~ Nov 24

Period 7 BC CalculusSunday 16/11/2008 [ ]day 5 Warm up – 20 minutes Preview Amusement park task Curve Sketching part I – 40 minutes How can I use derivative tests to help me graph functions? How does the second derivative help? What is the utility of a sign chart? Homework See homework section of handout Announcements Exam – applications of derivatives II ~ Nov 19 Quiz – curve sketching with and without calculators ~ Nov 24

Period 7 BC CalculusTuesday 18/11/2008 [ ]day 7 Warm up – 15 minutes Preview – sample AP questions that may be used as exam questions Curve Sketching part II – 40 minutes How can we increase our understanding of graphs with technology? How do we graphically communicate information about f from f’ and f’’? Homework See homework section of handout Announcements Exam – applications of derivatives II ~ Nov 19 Quiz – curve sketching with and without calculators ~ Nov 24

Period 7 BC CalculusWednesday 19/11/2008 [ ]day 8 Warm up – 15 minutes Curve sketching homework Q & A Exam – applications of derivatives IIHomework Finish curve sketching homework Review the pre-calculus concepts of polar, vector, and parametric functions Announcements Quiz – curve sketching with and without calculators ~ Nov 24