AP Calc BC Homework - Block E

No class today. Next school day is Day 2

Generated Saturday, October 05, 2024 at 11:53 pm.
Mathorama School Calendar Bell Schedule Socrative.com DeltaMath.com AP Classroom Calc Applets ck12.org KhanAcademy.org Blackbaud Portal Google Classroom Fr Chris's Mathorama Videos (homework answers) Mr. O'Connor Movies (concepts and examples) JMT Calc Videos
Class Date Schedule Topic Page Exercises Links Unit
1-1Wednesday, Aug 21 Day 1 - BrownMr O'Connor's Calc AB Videos0
   6.1 Euler's Method
  1. Go over Syllabus, Join Codes, Contract
  2. Register Calculator
  3. See Clip from "Hidden Figures"?
  4. Class kvuruuek
  5. Geogebra.org
  6. Interactive Euler
  7. 6.1b Notes and Examples
  8. ∆Math Lab 1-1
41169, 71, 74, 75, 760
1-2Friday, Aug 23 Day 3 F BrownSlope fields and Euler's Method In Class
  1. Finish 6.1b Notes and examples with technology
  2. EULERM
  3. Geogebra.org
  4. DeltaMath Lab on Euler Method
for HW (One or both)
  1. Euler WS Maximus<>
  2. Schoop
See Links for PDFYou may wish to do the Euler WS Maximus numbers 4, 5, 6, 8, 9 on your own paper (please photograph to turn in or do on notability or GoodNotes), or Shmoop Euler Method WS, # 1, 8, 9, (10)
  1. Euler WS Maximus
  2. Schoop
  3. TI Program EULER
  4. Slope Fields with Desmos
    Online version of EulerMethod.ggb
0
   AMC 10/12 Contest InfoPreparing for the Americal Math Competition (This years' dates TBA)
  • AMC 10(for 9th and 10th graders) at AoPS

  • AMC 12(for 11th and 12th graders) at AoPS

0
1-3Tuesday, Aug 27 Day 5 - Brown
  1. 6.3 b: Introduction to Logistic Equations
  2. ∆Math Lab 1-2 Logistical Model
  3. Khan Academy Goal: 55% Mastery in Calculus AB by Sept 9 (12 HW points), 85% Mastery in Calculus AB by the End on Quarter 1 (another 12 HW Points)
  4. Solving the Logistic Equation
42949, 51 and KA Goal Class code 6QVDHSD3
  1. Epidemic Simulation
  2. KA Videos on Logistic differential equations
  3. GeoGebra Logistic WS
  4. Logistic_Model.ggb
1-4Thursday, Aug 29 Day 1 F Brown6.3 Logistic Equations Part 2
  1. Finish 6.3b Notes and Examples
  2. Partial Fraction Review
  3. Logistic Model on Past AP Exams
  4. HWQ 1-3 on Logistical Model
    42935, 49-52, 53*, 55, 57*, 59, 61
    1. Videos and Exercise
    2. Videos on Logistic differential equations
    3. Logistics On The AP.pdf
    0
       Simulation of a Logistic Model

    Many times we attempt to model the behavior of an event through an artificial simulation. This exploration will mimic the spread of a disease such as a cold. The model assumes that a person with the disease will pass it on to two other people each day.

    1. Each Person will represent 10 people. Each student has their own scratch paper to keep track of which of there ten people have been infected. The first student writes 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the next writes 10, 11, 22, ..., 29; The nexts writes 30, 31, 32, ..., 39; and so on
    2. Using a TI-84 calculator, choose a student a random using the command RandInt(0,N) where N represents 10 ×(the number of students in the class-1. (for example, if there are 9 students, N = 89)
    3. This demonstration assumes that each infected person can pass the disease to two other people each day. Press ENTER twice as many times as the number of infected people for each student. ( RandInt(0,N, M) can be used as well. eg. RandInt( 0,89,12) would return 12 random numbers from 0 to 89).
    4. Plot a point (x, y) where the x coordinate is the day, and the y coordinate is the number infected.
    5. Continue until all students are standing.
    6. When all are infected, Using your calculator, find a good curve fit. Which model seems to fit best? Store your model in Y1.
    7. In Y2 enter the command Nderiv(Y1,X,X). Graph Y2 in the same window as the data plot and Y1.
    43049-52 (write the equations and matching graph), 61 parts a-e.Epidemic with Logistic Model WS
    Logistic Exploration.ggb
    Video: Logistics Questions on the AP Exam
    0
    1-5Tuesday, Sep 03 Day 3 - Brown In class:
    1. 7.4 Arclength
    2. Test on Euler Method
    For HW
    1. Read p 427-428
    2. Start ∆Math Lab: Partial Fractions, Arc length
    4815, 7*, 8, 9, 11**, 15, 17, 19**, 21GeoGebra Explanation
    Arc Length WS
    0
    1-6Thursday, Sep 05 Day 5 - Brown7.4 Area of a Surface of Revolution48239*, 40, 44, 45*, 57, 65
    1. Chapter 8.0 WS
    2. Arccos.pdf
    3. 8.0 WS Solution Video
    0
       8.1 Basic Integration Rules5203, 4, 5, 6, 7*, 8, 9, 10, 11
      Ch 8.0 WS Part 2
    1. Chapter 8.1 WS Solutions on PlusPortals
    2. Plus 1 - 1 Technique
    3. Some Integration "Tricks"
    4. Arccot Identity GeoGebra
    5. MIT Lecture "The Marriage" of Integral and Differential Calc
    0
    1-7Monday, Sep 09 Day 1 - BrownIn class
    1. Q 1-7
    2. 8.1 Review of Basic differentiation and Integration Techniques
    3. Test on Euler Method, Logistic Growth, Arc length, and Area of a Surface of Revolution
    52015, 17*, 19-23 odd, 24, 35, 59*Chapter 8.1 WS
    Arccot Identity GeoGebra
    0
    1-8Wednesday, Sep 11 Day 3 - Brown8.2 Integration by parts
    1. Integration by Parts Proof
    2. Ultra Violet Voodoo WS1
    5295*, 11*, 15*, 17, 19, 25, 29, 37**, 39, 43, 45*, 49, 61
    1. Video of Tabular (DI) Method ( e^x sin x is about minute 10:05)
    2. Classwork 1 Level A problem 3 Level B problems
    3. Classwork
    4. UC Davis Solutions
    0
    1-9Friday, Sep 13 Day 5 F Brown8.2 Integration by Parts (Ultra-Violet Voodu)

    In class

    1. Q 1-9 on Partial Fraction Decomposition (Pre-Calc) and Basic Integration Rules (8.1)
    2. TabularUltraVioletVooDoo.pdf
    For HW:
    1. UC Davis problems
    2. Lab 1-14: Integration by Parts
    Homework Ex. 1-10
    1. uv-VooDoo Card Game Rules
    2. Mr Tarrou Video examples
    0
    1-10Tuesday, Sep 17 Day 1 - Brown In class
    1. 8.3 Trigonometric Integrals Even and odd powers, Wallis' Formulas

    2. Trig Powers WS
    3. Trig Power Examples
    4. Integration with Partial Fraction Decomposition
    5. uv-VooDoo Card Game ( "Match" version is for COVID conditions only)
    for HW
    1. Textbook problems on 538
    2. ∆ Math Lab 1-15: Partial Fractions
    5385, 7*, 9,( 11), (13) , (15), (17), 21, 23, 27*, (29), (31), (59), (61)Video Introduction
    0
    1-11Thursday, Sep 19 Day 3 - Brown8.5 Partial Fractions In class:
    1. Warm-up: Deriving the Logistic (paper only)
    2. Partial Fraction WS Part B (page 7) is the Calculus Part
    3. Q 1-11
    4. Intro to Improper integrals
    for HW
    1. Textbook p 557
    2. ∆Math Lab 1-6: Integrating Partial Fractions
    5573, 7*, 9, 11, 13, 15, 21*, 23, 41, 45**
    1. Video Link
    2. PreCalc Worksheet
    3. Integration by Partial Fractions WS (Part A is the Pre-calc part)
    4. Video 1
    5. Video 2
    6. video 3
      Video 4
    0
    1-12Monday, Sep 23 Day 5 - Brown8.8 Improper Integrals

    In class:

    1. Q 1-12 on Delta Math (8.1, 8.2, 8.5)
    2. Improper Integrals WS
    3. Penn Slides
    for HW
    1. Textbook exercises
    2. ∆Math Lab 1-16: Improper Integrals
    Video: Basic Idea and Example
    Video: MIT lecture
    Penn Slides
    0
       8.8 Improper Integrals
    1. Quiz on Chapter 8.1, 8.2, 8.3, and 8.5
    2. Improper Integrals WS
    5795, 7, 13*, 15, 17, 19, 21*, 33, (34), 41, (49), 55, (59), 67*, (68), 75
    1. Improper Integrals WS
    2. Video: Basic Idea and Example
    3. Video: MIT lecture
    4. Penn Slides
    5. Gabriel's Horn Paradox: finite Volume but infinite surface area
    0
    1-13Wednesday, Sep 25 Day 1 - BrownKairos 112 Sept 24-27, 2024 In class
    1. Complete Improper Integral Examples
    2. Gabriels Horn Paradox
    3. integral of x/tan x from 0 to pi/2
    2
    1-14Friday, Sep 27 Day 3 F BrownPreparing for the American Math Competition (AMC10/12)

    AMC 10A: November 6, 2024

    AMC 12B: November 12, 2024

    Free Math Jams

    (not free) 2 Day Online Preparation Seminars

    AMC 10 at AoPS

    AMC 12 at AoPS

    Quick-Tip Video Playlist

    0
       Kairos 112 Sept 24-27, 2024 2
    1-15Tuesday, Oct 01 Day 5 - BrownIn class Today: Study for the Chapter 8 Test
    1. HWQ 1-17 (Improper Integrals)
    2. Ch 8 Test Practice
    for HW
    1. Ch 8 Review Textbook problems
    2. Study for Ch 8 Test
       Chapter 8 Review5835, 7, 9, 19, 37, 57, 81 , 830
    1-16Thursday, Oct 03 Day 1 F Brown
    Chapter 8 Test
    0
    1-17Tuesday, Oct 08 Day 3 - BrownReview for Quarter 1 Exam on Friday October 13, 2021

    (See study guide for which ones have Qtr 1 topics)
    Qtr 1 Study Guide
    0

    login Mathorama School Calendar Bell Schedule Socrative.com DeltaMath.com AP Classroom ck12.org KhanAcademy.org Blackbaud Portal Google Classroom Podcast Videos

    Resources
    1. 11e HW Solutions @ CalcChat
    2. 11e HW Solution Videos @ calcView from the textbook (well done, but just the problems with * )
    3. Fr C's HW Solution Videos from the Mathorama podcast (just the problems with ** )
    4. 11e HW Solutions @ Quizlet (formerly Slader) Good for answers to even questions
    5. 11e HW Solution Videos @ numerade.com Some are better than others, but fairly complete
    6. 11e Lecture Videos @ Larson Calculus
    7. Class Sketchpad Files and Worksheets
    8. GeoGebra Apps
    9. Free Wolfram CDF Player
    10. 8e HW Solutions