Integration--the inverse of differentiation
PowerPoints--Fundamental Theorem of Calculus
Calc05_2Definite integrals and antidifferentiation.ppt
Calc05_3Fundamental Theorem.ppt
NotesNotes_7Jan13
Notes_8Jan13 Notes_10Jan13 Notes_14Jan13 Notes_17Jan13 Notes_24Jan13 Notes_7Feb13 Notes 13Feb13 Bonus #5(From Calculus: Concepts and Applications--Paul Foerester)
Tay L. Gates wants to determine the characteristics of his new pickup truck. With special instruments he records its velocity at 2-second intervals as he starts off from a traffic light. t seconds velocity, ft/sec 0 0 2 4.5 4 6.9 6 8.8 8 10.4 10 11.9 1. Show that the power function v(t) = 3t^0.6 fits these data closely. 2. Write an equation for Tay's acceleration, a(t). Is the acceleration getting larger or smaller as time goes on? Explain. 3. Write an equation for x(t), the truck's displacement from the middle of the intersection. (At t=0, when the light turns green, the truck was -50 feet from the center of the intersection) 4. Use the equation to predict where Tay's truck was 10 seconds after he started accelerating. 5. Using the trapezoid rule, answer question 4. 6. How long does it take before the truck is 100 feet beyond the intersection? Submit your answer to Dr. Vincent or Mrs. Bratt by Friday, Jan. 25. |
AssignmentsWeek of Jan 7-11
Mon., Jan. 7--p. 255 # 15-33 odds; In Calculus Handbook--reflect on the relationship between derivatives and anti-derivatives. What challenges do you think will come in finding anti-derivatives? Tues., Jan. 8--Study for test Wed., Jan. 9--Function graph sheet Thurs., Jan. 10--p. 255 # 35-42, p. 256 # 55, 58, 61, 63 Fri., Jan. 11--per. 1, 5 p. 268 # 23-30; per. 3--do p. 1 of the Area Under Curve packet. Begin working on midterm sample problems Week of Jan. 14-18 Mon., Jan. 14--MC Monday #3; HW--Riemann Sums sheet CW p. 138 #1-3 Tues., Jan. 15--Riemann Sums sheet HW Wed., Jan. 16--Integrals, Riemann Sums HW Thurs., Jan. 17--Quiz--Integration and Riemann Sums; HW--Review Book pp. 109-117 Fri., Jan. 18--FRQ Friday! Complete two of the FRQs and compare your answers to the rubric. Reflect in your Calculus Handbook on strategies you can use to maximize your points on FRQs. Week of Jan. 21-Jan. 25 Tues., Jan. 22--Riemann Sums practice sheet; quiz tomorrow on Riemann sums, integration Wed., Jan. 23--Work on Midterm practice Thurs., Jan. 24--pp. 278-279 # 25, 27, 29, 41, 43, 46 Fri., Jan. 25--FRQ Friday Week of Jan. 28--Feb. 1 Mon., Jan. 28--pp. 280-281 # 47-49, 51-56 Tues., Jan. 29--p. 291 # 5-21 odds Wed., Jan. 30--p. 291-293 # 39, 41, 47-49, 67, 69, 81 Thurs., Jan. 31 and Fri., Feb. 1--Midterm Week of Feb. 4--Feb. 8 Mon., Feb. 4--FTC Packet Worksheets 1 and 2 (period 3--Worksheet 2 only) Tues., Feb. 5--FTC Packet Worksheet 5 #1-8 Wed., Feb. 6--FTC Packet Worksheet 5 #9-13, Worksheets 3, 4 Thurs., Feb. 7--p. 305-306 # 57, 61, 63, 65, 67, 71, 73, 75 Fri., Feb. 8--U-Substitution HW Week of Feb. 11-Feb. 15 Mon., Feb. 11--MC Monday #4; HW--u-Substitution Definite Integrals Tues., Feb. 12--Review Book--Sections 4.8 Wed., Feb. 13--Review Book--Section 4.6, 4.7 Thurs., Feb. 14--Quiz--FTC, u-substitution Fri., Feb. 15--FRQ Friday #1 Week of Feb. 18--Feb. 22 Wed., Feb. 20--p. 358-359 # 85-105 odds, 113, 115, 119, 120 Thurs., Feb. 21--e, ln practice sheet Fri., Feb. 22--Average Value, Straight Line Motion |