Homework For Mr Santowski's HL Math Class
The MAIN point to HW in this class is to practice HOW to do Math, so it has a SKILLS focus!! The MAIN point to the LESSONS is to see WHY we do the Math & WHAT we can do with it, so Lessons have an APPLICATION and PROBLEM SOLVING focus
ASSIGNED HOMEWORK 
After Day 1 on Lesson 84/85 on Distances and Intersections Assigned on Sunday, Feb 18 Due: Tuesday, Feb 20 From the Oxford textbook, work through some of the Chapter 11 Review questions 
After Day 1 on Lesson 84/85 on Distances and Intersections Assigned on Monday, Feb 12 Due: Wednesday, Feb 14 From Cirrito, Ex 27.3.2, p984, Q1,4 and Ex 27.3.3, p986, Q1,2,3 Here are some extra practice questions for Lines and Planes from the Geometry and Discrete Math textbook, Chapter 7 and Chapter 8 Review questions To review the distances calculations, review the following videos on Distances in Space: VIDEO #1  Point to Line from Mathispower4u and VIDEO #2  Point to Plane also from Mathispower4u. If you prefer the ExamSolutions videos, VIDEO #3  Point to Line from ExamSolutions and VIDEO #4 also from ExamSolutions 
After Day 2 on Lesson 83 on Equations of a Plane Assigned on Tuesday, Feb 6 Due: Thursday, Feb 8 To prepare for Thursday's class, please preview the following videos on Distances in Space: VIDEO #1  Point to Line from Mathispower4u and VIDEO #2  Point to Plane also from Mathispower4u. If you prefer the ExamSolutions videos, VIDEO #3  Point to Line from ExamSolutions and VIDEO #4 also from ExamSolutions 
After Day 1 on Lesson 83 on Equations of a Plane Assigned on Sunday, Feb 4 Due: Tuesday, Feb 6 From Cirrito, p974, Ex 27.2.1, Q1c,3,4 and then from Ex 27.2.2 on p978, Q1c,3b,4c,5c,6b SKILLS REVIEW Videos on Equations of Planes: VIDEO #1 from ExamSolutions and VIDEO #2 also from ExamSolutions 
After Day 2 on Lesson 82 on the Vector Equation of a Line Assigned on Wednesday, Jan 31 Due: Sunday, Feb 4 From Cirrito, p960, Ex 26.7.2, any from Q13  23 Preview BOTH of the following videos in order to prepare for Sunday's class on Equations of Planes: VIDEO #1 from ExamSolutions and VIDEO #2 from AlRichards314 
After Day 1 on Lesson 82 on the Vector Equation of a Line Assigned on Monday, Jan 29 Due: Wednesday, Jan 31 From Cirrito, p951, Ex 26.7.1, any from Q11  17 and from p958, Ex 26.7.2, any from Q17 
After Day 2 on Lesson 81 on the Vector (Cross) Product Assigned on Wednesday, Jan 24 Due: Monday, Jan 29 Watch the following videos dealing with the Vector Equation of a line in space ==> VIDEO #1 from ExamSolutions and then here is VIDEO #2 from rootmath To help prepare for our discussion of Vector Equations of Lines and to make sense of the videos, please go to the following GEOGEBRA links and PLAY!!!! ==> Geogebra LINK #1 and here is Geogebra LINK #2 
After Lesson 81 on the Vector (Cross) Product Assigned on Monday, Jan 22 Due: Wednesday, Jan 24 From Cirrito, 3rd ed, work through Exercise 27.1.2 on page 968, some Qs from each of Q511 and from Exercise 27.1.2 on page 970, do some from Q2,3,4 
After Lesson 80 on the Scalar (Dot) Product Assigned on Thursday, Jan 18 Due: Monday, Jan 22 PART 1 of HW: From Cirrito, 3rd ed, work through Exercise 26.6 on page 9402, some Qs from each of Q310 PART 2 of HW: Preview this video on the Vector (Cross) Product from Better Explained and here is a second video on Cross Product from 3Blue1Brown 
After Lesson 79 on Algebraic Vectors Assigned on Tuesday, Jan 16 Due: Thursday, Jan 18 PART 1 of HW: Practice Questions from HM12 Geometry and Discrete Math textbook, Chap 6.4 on Vector Proofs in Geometry. Work through some of Q17,11,12a,14,15,16 PART 2 of HW: Preview this video on the Scalar Product from Better Explained 
After Lesson 78 on Geometric Vectors Assigned on Sunday, Jan 14 Due: Tuesday, Jan 16 Here are a few videos showing examples of how to work through proofs using geometric vectors VIDEO #1 from Understanding Maths VIDEO #2 also from Understanding Maths Practice Questions from HM12 Geometry and Discrete Math textbook, Chap 6.4 on Vector Proofs in Geometry. Work through some of Q17,11,12a,14,15,16 here are 5 practice problems (online) complete with links to solutions 
After Lesson 77 on Systems of 3 Equations  Introduction to Planes Assigned on Thursday, Dec 7 Due: Monday, Dec 11 Practice a few more proofs from Cirrito textbook, Ex 25.3 on p908, do a few summations from Q9,10,11 and then from Ex 27.3.4 on p988 do some from Q4,6,7,8 Please watch this video showing the NEW idea of matrices and systems: NEW concept VIDEO  using matrices from Khan Academy. 
After Day 2 on Lesson 75 on Binomial Theorem Assigned on Tuesday, Dec 5 Due: Thursday, Dec 7 Practice a few more proofs from Cirrito textbook, Ex 12.1 on p430, do a few summations from Q1 and then from Ex 12.2 on p432 do some divisibility & inequalities from Q1 In Thursday's class, we will solve systems of equations  but with three variables!!! A skills review video from AoPS BUT here are some videos showing some NEW ideas: and then "new" concept VIDEO #2 from Brightstorm and then a "new concept" VIDEO #3 from ValenciaMathJoel and finally NEW concept VIDEO #4  using matrices from Khan Academy. 
After Lesson 76 on Binomial Theorem Assigned on Sunday, Dec 3 Due: Tuesday, Dec 5 From Cirrito textbook, Ex 12.1 on p430, do a few summations from Q1 and then from Ex 12.2 on p432 do some divisibility & inequalities from Q1 In Tuesday's class, we will continue with Proof by Induction, so here are some new videos showing examples of proof by induction: VIDEO #5 from patrickjmt and then VIDEO #6 from Eddie Woo 
After Day 1 Lesson 75 on Binomial Theorem Assigned on Tuesday, Nov 28 Due: Sunday, Dec 3 From Cirrito textbook, Ex 4.1.2 on p102, so a few from Q1,2 and then some from Q8  15 In Sunday's class, we will continue with Proof by Induction, so here are some new videos showing examples of proof by induction: VIDEO #3 from patrickjmt and then VIDEO #4 from iitutor.com 
After Lesson 74 on Exponential Form of Complex Numbers Assigned on Tuesday, Nov 21 Due: Sunday, Nov 26 From Cirrito textbook, Ex11.3 on p410, so a few from Q810 and 1214 and to work with roots of complex numbers, work in Cirrito, Ex 11.4.3, p424, Q5,6,9,10 To practice with the exponential form of complex numbers, from this document, start on page 78 (Section 3.10) and then try some questions from Q16 on p80. To prepare for Monday's class, here are some videos introducing the idea of proof by induction: VIDEO #1 from mathispower4u and then VIDEO #2 from Spoonful of Maths 
After Lesson 73 on Powers of Complex Numbers & de Moivre's Theorem Assigned on Sunday, Nov 19 Due: Tuesday, Nov 21 Here are some videos on powers of complex numbers and on roots of complex numbers: VIDEO #1 from Patrickjmt and then VIDEO #2 from mathispower4u. You should then practice a bit in the Cirrito textbook, Ex11.3 on p410, so a few from Q810 To prepare for Tuesday's class, here are some videos introducing the Exponential Form of Complex Numbers and Euler's formula/identity: VIDEO #1 from Better Explained and then VIDEO #2 from Mathologer and then VIDEO #3 from Mark Newman 
After Lesson 72 on Rectangular and Polar Forms of Complex Numbers Assigned on Wednesday, Nov 15 Due: Sunday, Nov 19 As introduced/reviewed at the beginning of the period, here are several examples of questions involving the use of Taylor Series to solve differential equations ==> VIDEO #1 and here is VIDEO #2 and here is VIDEO #3 To continue practicing with complex numbers, from the Cirrito Text; Ex 11.2, p400, Q3,4,8,11,19,20 do some AS NEEDED. Also, from Ex 11.3, p410, do some from 2,3,5,7,13,14 
After Lesson 71 on Introduction to Complex Numbers Assigned on Monday, Nov 13 Due: Wednesday, Nov 15 From the Cirrito Text; Ex 11.1, p389, Q15 are basic operations, so do some AS NEEDED. Do some from Q6,9,11,12,13,4,17,18,20,21 which are much more interesting!!!! Also, from Ex 11.4.2, p418, do some from 4,5,6,11,13 Please make sure you have watched this intro video on Complex Numbers from Better Explained. ToK question ==> do numbers have "dimension"? Watch this clip about Flatland (Edwin Abbott's book) To continue our TOK ideas ==> do numbers exist in the first place? 
After Lesson 70 on Binomial Series Assigned on Tuesday, Nov 7 Due: Thursday, Nov 9 From the Oxford text, Ex 5G, p160, Q47 and from Ex 5H, p169, Q1bd,2,3 To PREVIEW for our discussion on complex numbers, READ this children's story about Betty & John's Journey into Complex Numbers Watch this intro video on Complex Numbers from Better Explained. ToK question ==> do numbers have "dimension"? Watch this clip about Flatland (Edwin Abbott's book) Here are some videos from AoPS to watch about complex numbers: VIDEO #1  What are Complex Numbers? and/or VIDEO #2  Multiplying Complex Numbers and VIDEO #3  Dividing Complex Numbers 
After Lesson 70 on Binomial Series Assigned on Tuesday, Nov 7 Due: Thursday, Nov 9 From the Oxford text, Ex 5F, p155, some from Q1 and 3 To PREVIEW for our discussion on the error involved in Taylor and MacLaurin polynomials, watch ==> from mathispower4u: VIDEO 1 and from patrickjmt: VIDEO 2 and from Khan Academy, here is VIDEO 3 which tries to EXPLAIN the concept 
After Lesson 69 on Working with Taylor and MacLaurin Polynomials Assigned on Sunday, Nov 5 Due: Tuesday, Nov 7 From the Oxford text, Ex 5D, on p146, some from Q1bd,2,3 From the Cirrito text, Ex 4.1, p131, some from Q4,5,7 To REVIEW, some of you should rewatch some of the following videos that will show/explain examples: From mathispower4u ==> VIDEO 1 and/or VIDEO 2 and/or VIDEO 3 From patrickjmt ==> VIDEO 1 and/or VIDEO 2 
After Assessment 13 Assigned on Wednesday, Nov 1 Due: Sunday, Nov 5 To PREPARE for Sunday's lesson on Working with Taylor and MacLaurin Series, the following videos will show/explain examples: From mathispower4u ==> VIDEO 1 and/or VIDEO 2 and/or VIDEO 3 From patrickjmt ==> VIDEO 1 and/or VIDEO 2 
After Lesson 67  Working with Power Series Assigned on Monday, Oct 23 Due: Sunday, Oct 29 (1) Start in Oxford Calculus Options textbook, Exercise 5A and 5B on pages 135 and 138, try some from each section (2) From the Cirrito Calculus Options textbook, Exercise 3.3 on page 100, try some questions that are different than the Oxford text To PREPARE for Monday's lesson on Taylor and MacLaurin Series, the following videos will explain and develop the idea (rather than showing the "formula"): VIDEO 1 from Khan Academy, VIDEO #2 from MGL Math and VIDEO #3 from slcmath 
After QUIZ and L66  Intro to Power Series Assigned on Thursday, Oct 19 Due: Monday, Oct 23 Watch some/all of the following videos on Power Series: (1) to REVIEW what we discussed in class (geometric series, graphs & simple power series) ==> VIDEO #1 and then VIDEO #2 and then VIDEO #3, all from slcmath (2) For EXAMPLES to watch/practice: VIDEO #1 and VIDEO #2 from mathispower4u (3) For EXAMPLES to watch/practice: VIDEO #1 and VIDEO #2 from patrickjmt 
After REVIEW Lesson on Alternating Series Assigned on Tuesday, Oct 17 Due: Thursday, Oct 19 From the Oxford Calculus Options textbook, try some of the Review Exercises from Chapter 4 on pages 127  130. Use Wolframalpha/Symbolab to check your solutions. If you have questions, post them on the FB page 
After Lesson 65 on Alternating Series Assigned on Sunday, Oct 15 Due: Tuesday, Oct 17 From the Cirrito Calculus Options textbook, Exercise 3.1 on page 86, try Q1a,2a,4a,5,6 and from Exercise 3.2 on page 8788, Q15,10,11 
After DAY 3 in Lesson 64 on Testing Convergences of Infinite Series Assigned on Thursday, Oct 5 Due: Sunday, Oct 15
Continue practicing from: (1) Cirrito Calculus Options textbook, Exercise 2.1 on page 6970, try some from Q69 & then try most of 1016 (2) Oxford Calculus Options textbook, Exercise 4D, 4F, 4G, 4H on pages 114  120, try some from each section for specific methods Here is where we are eventually going: from this copy of the Stewart Calculus Textbook, work through figuring out WITH TEST to use and then practice using it .... Here are some videos I want you to watch before Sunday's lesson on Absolute and Conditional Convergence ==> VIDEO #1 from Patrickjmt, VIDEO #2 from mathispower4u and VIDEO #3 from KristaKingMath 
After DAY 1 & 2 on Lesson 64 on Testing Convergences of Infinite Series Assigned on Sunday, Oct 1 Due: Tuesday, Oct 3
For the next two weeks, we will be practicing from: (1) Cirrito Calculus Options textbook, Exercise 2.1 on page 6970, try some from Q69 & then try most of 1016 (2) Oxford Calculus Options textbook, Exercise 4D, 4F, 4G, 4H on pages 114  120, try some from each section for specific methods For tonight's HW practice, try a few of the Integral Test for Convergence Qs. We will "play with" the Comparison and Ratio Tests next class 
After Lesson 63 on Infinite Series Assigned on Wednesday, Sep 27 Due: Sunday, Oct 1
To practice with Infinite Series from the Oxford Calculus Options textbook, Exercise 4A on page 103, try some from Q1,2,3 Watch these videos to review and prep for next class: VIDEO #1 from mathispower4u as a review of basics concepts behind Infinite Series and then VIDEO #2 from patrickjmt and then VIDEO #3 from mathispower4u which introduce the Limit Comparison Test 
After Lesson 62 on Improper Integrals Assigned on Monday, Sep 25 Due: Wednesday, Sep 27
Your best bet for preparing for the Quiz is to practice Qs from the Cirrito text, p17, p25, p39/40 and p47/48. Focus on being able to DO & PERFORM the skills To practice TYPE II improper integrals, From the Cirrito Calculus Options textbook, Exercise 1.4 on p47, try some from Q3,4,7,11,18/19 Watch this VIDEO from patrickjmt for help with Q18/19  Comparison Test 
After Lesson 62 on Improper Integrals Assigned on Wednesday, Sep 20 Due: Monday, Sep 25
From the Cirrito Calculus Options textbook, Exercise 1.4 on p47, try some from Q1,5,6,8,9,10 and you MUST do Q18 Preview the following videos on Improper Integrals in preparation for our second day with Improper Integrals: VIDEO #1 from Mr Betz Calculus and VIDEO #2 from slcmath and VIDEO #3 from patrickjmt 
After Day 2 on Lesson 61 on Infinite Sequences and Limits Assigned on Monday, Sep 18 Due: Wednesday, Sep 20
From the Cirrito Calculus Options textbook, Exercise 1.2.2 on p16, try some from Q1dge,5,6 and from Exercise 1.2.3 on p21, Q3,4,5,6 If you prefer the Oxford textbook, Ex 1A, p6, Q3,4g as well as Ex 1B, p9, Q2,3 Preview the following videos on Improper Integrals: VIDEO #1 from patrickjmt and VIDEO #2 from MathDoctorBob 
After Lesson 61 on Infinite Sequences Assigned on Thursday, Sep 14 Due: Monday, Sep 18
To practice with Infinite Sequences, from the Cirrito Calculus Options textbook, Exercise 1.1.1 on pages 5 & 6, try some from Q1,2,5,6,7,10,11 and then graph sequences from Exercise 1.1.2 on p7, Q1. The Cirrito textbook Chapter 1 is now in our google drive folder Also, for the writing assignment on the deltaepsilon definition of a limit, I would like: (i) a definition, (ii) a visual, (iii) two worked examples. Max length  one page, 2 sided. Here are some videos on Infinite Sequences I need to preview before next lesson: VIDEO #1 and VIDEO #2 both from Patrickjmt. Here is one from mathispower4u on the Squeeze Theorem 
After ASSESSMENT #11 Assigned on Tuesday, Sep 12 Due: Thursday, Sep 14 To practice with L'Hopital's Rule, here is a worksheet. As well, you could practice with questions from Oxford Chapter 2, page 45, Q1,2,3 Here are some videos on Infinite Sequences I need to preview before next lesson: VIDEO #1 and VIDEO #2 both from Patrickjmt. Here is one from mathispower4u on the Squeeze Theorem 
After Lesson 59 on IVT, MVT and RT Assigned on Wednesday, Sep 6 Due: Sunday, Sep 10 Work from the Oxford Calculus Options textbook on the MVT and RT ==> Oxford textbook, Chap 2C on p40, Q2,5,6 Here are a couple of worksheets for working with the MVT => WORKSHEET #1: Q1,712 and 16 are nice because they are different!! HMMMMM, how about an Mean Value Theorem for Integrals? Check out this worksheet and then the solution key. Be prepared to explain it to me in class! REVIEW options for our first MAJOR assessment on Sept 12 on (i) Stats, Prob, Counting; (ii) Diff Eqs; (iii) IVT, MVT, RT have been posted on our facebook page as well as the resources that were emailed to you last week. Work from the Oxford Calculus Options textbook on REVIEW Exercises for Chapter 3 on page 92  95 on any of Q115 is still a GOOD IDEA!! So spend some time studying!!!! 
After Lesson 58 on Applications of Differential Eqns Assigned on Wednesday, Aug 30 Due: Wednesday, Sep 6 Work from the Oxford Calculus Options textbook on REVIEW Exercises for Chapter 3 on page 92  95 on any of Q115 OR work through the examples in the Cirrito Calculus Options textbook in Chapter 5 Remember, you have a writing assignment to do on the IVT, MVT, RT which you will turn in on Wednesday I will post more REVIEW options for our first MAJOR assessment on Sept 12 on (i) Stats, Prob, Counting; (ii) Diff Eqs; (iii) IVT, MVT, RT 
After Lesson 57 on Linear Differential Eqns Assigned on Monday, Aug 28 Due: Wednesday, Aug 30 Work from the Oxford Calculus Options textbook on Exercise 3E on page 7576 on any of Q15 OR Work in the Cirrito Calculus Options textbook on Exercise 5.4.2 on page 165 on Q1,2 
After Lesson 56 on Homogeneous Differential Eqns Assigned on Thursday, Aug 24 Due: Monday, Aug 28 Work from the Oxford Calculus Options textbook on Exercise 3G on page 82 on Q5,6,8 OR Work in the Cirrito Calculus Options textbook on Exercise 5.4.1 on page 158 on Q58 Prepare for Monday's lesson on First Order Linear Diff Eqs by watching some of these videos: Video #1 on Solving Linear FirstOrder Differential Equations from Mathispower4u Video #2 on First Order Linear Differential Equations from PatrickJMT 
After Lesson 55 on Euler's Method Assigned on Tuesday, Aug 22 Due: Thursday, Aug 24 Work from the Oxford Calculus Options textbook on Exercise 3H on page 90 on Q1,2,4,5,8 (HINT: do one or two calculations by hand, but use EXCEL  or an online program  to do further iterations with Euler's method). Textbook is in our google folder LINK #1 for Spreadsheet instructions VIDEO LINK #2 for Spreadsheet instructions Prepare for Thursday lesson on First Order Homogeneous Diff Eqs by watching some of these videos: Video #1 on Solving a FirstOrder Homogeneous Differential Equation  Part 1 from Mathispower4u Video #2 on Change of Variables / Homogeneous Differential Equation  Example 1 from PatrickJMT 
After Review Lesson 54 on Slope Fields Assigned on Sunday, Aug 20 Due: Tuesday, Aug 22 Complete the 4 questions on Slope Fields from Lesson 54 Prepare for Tuesday lesson on Euler's Method by watching some of these videos: VIDEO #1 from mathispower4u VIDEO #2 from Calcworkshop.com VIDEO #3 from Patrickjmt Then here is a link to a worksheet (with solutions), wherein you could try one or two examples yourself 
After SUMMER WORK Review Lesson Assigned on Wednesday, Aug 16 Due: Sunday, Aug 20 To PREPARE for Sunday's QUIZ, you may revisit Cirrito Chap 13.6 (p473  476 for Stats review), Cirrito Chap 14.3 (p486  488 on Counting) and Cirrito Chap 15.5 (p511  512) and practice a few questions  especially from Chap 13.6 as I had NO Qs on Stats during Wed review lesson. Here is a Practice SET of IB styled Qs and here is a copy of the Quiz I gave two years ago. 
After Lesson 52 on the Differential Equations Assigned on Sunday, May 14 Due: Tuesday, May 16 From this collection of assorted textbook pages, work on the second page and work through some of Q41  52 From the following worksheet, practice with solving differential equations, both as"simple integrals" and using the "separation of variables" methods. You can use Wolframalpha or Symbolab to verify your answers 
After Lesson 51 on the Second Fundamental Theorem of Calculus Assigned on Wednesday, May 10 Due: Sunday, May 14 To practice with the Second Fundamental Theorem of Calculus, practice with some AP Calculus Questions and work through some of the FRQs. Answers are provided, but try to work trhough the Qs WITHOUT looking at the soltuions For extra review, some of the following videos, deal with the Second Fundamental Theorem of Calculus: VIDEO #1 explaining the theorem from mathispower4u VIDEO #2 and VIDEO #3 showing examples from mathispower4u VIDEO #4 explaining the theorem from Scott Campbell 
After DAY 2 in Lesson 50 Assigned on Monday, May 8 Due: Wednesday, May 10 To practice with more integration techniques, go back to our Lesson 50 DAY 2 notes and work through some Qs fro pages 4 and/or 5 You MUST preview some of the following videos, dealing with the Second Fundamental Theorem of Calculus: VIDEO #1 explaining the theorem from mathispower4u VIDEO #2 and VIDEO #3 showing examples from mathispower4u VIDEO #4 explaining the theorem from Scott Campbell 
After DAY 1 in Lesson 50 Assigned on Thursday, May 4 Due: Monday, May 8 To practice for Integration by Parts, from Cirrito, Ex 23.2.1 on p850, do some of Q18 for "easier" ones and then in Ex 23.2.2 on p851, do some from Q1,2 
After DAY 2 in Lesson 49 Assigned on Tuesday, May 2 Due: Thursday, May 4 To PREVIEW our work for our next lesson on Integration by Parts, watch some/all of the following videos: VIDEO #1 from Mathispower4u VIDEO #2 from Patrickjmt VIDEO #3 from mathbff If you want further practice for Volumes of Revolution, here is a worksheet (complete with solutions). 
After DAY 1 in Lesson 49 Assigned on Tuesday, Apr 25 Due: Tuesday, May 2 For work in Volumes of Revolution, From Cirrito, Ex 22.8, starting on p830, do some from Q18 Here are some videos to help you review/remember the process: VIDEO #1 from mathispower4u VIDEO #2 from patrickjmt VIDEO #3 from mathispower4u 
After DAY 1 in Lessons 47/48 Assigned on Tuesday, Apr 11 Due: Thursday, Apr 13 For work in Areas Between Curves, from Cirrito Ex 22.5, starting on p809, do some from Q7,13,16,18,22,23 For work in Integration by Substitution, From Cirrito, Ex 23.1.2, starting on p846, do some from Q26 
After DAY 2 in Lesson 45 Assigned on Wednesday, Apr 5 Due: Sunday, Apr 9 From Cirrito Ex 22.4, starting on p795, do some from Q9  15 From Cirrito, Ex 22.3, do some word problems from Q10  16 For extra practice, from Cirrito, Ex 22.5 on p808, do a few each from Q1  5 
After Lesson 45 Assigned on Monday, Apr 3 Due: Wednesday, Apr 5 From Cirrito Ex 22.4, starting on p795, do some from Q2,4,6,8,12 From Cirrito, Ex 22.3, do some word problems from Q8,9,10,13,15 
After DAY 2 of Lesson 44 Assigned on Thursday, Mar 30 Due: Monday, Apr 3 For continued practice with antiderivatives: do some of the following From this worksheet and also practice with questions from this worksheet Here are a variety of practice questions with the concept of Rectangular Approximations 
After DAY 1 of Lesson 44 Assigned on Tuesday, Mar 28 Due: Thursday, Mar 30 For practice with antiderivatives: do some of the following From Cirrito: Ex 22.2 on p779, Q1,2,5,10,13,14,15 and you can also practice with questions from this worksheet 
After DAYS 14 of Lesson 43 Assigned on Monday, Mar 20 Due: Tuesday, Mar 28 Over the next 8 days, you should work through some of the following Qs from Cirrito: Ex 21.3 (Kinematics) on p724, Q3,4,5,7,8,9,11,12 Ex 21.4 (Related Rates) on p737, Q1,2,59,11,12,13,15,18,19,20 Ex 21.5 (Optimization) on p755, Q10,11,1317,2022,25,26,28,32,33,34 Other HW Option: Work through the examples that are presented in the Cirrito text in Ex 21.4 & 21.5. In these cases, read ONLY the question, try it yourself BEFORE looking at the solutions that are presented. Other HW Option: Look for more videos on line and do the same thing ... watch just as far as the presentation of the question, stop the video and then try to answer the question yourself. Only after trying the question yourself, should you watch the explanation of the solution. 
After UNIT TEST Assigned on Thursday, Mar 16 Due: Monday, Mar 20 Next lesson covers Related Rates as well as Optimization, so here are some videos that would be good to preview, before coming to class on Monday, Mar 13: Video #5 Related Rates from mathispower4u and Video #6 Related Rates from patrickjmt Video #7 Optimization from mathispower4u and Video #8 Optimization from patrickjmt 
After DAY 1 of Lesson 43 Assigned on Monday, Mar 13 Due: Thursday, Mar 16 AS RENEGOTIATED: NEXT TEST DATE is Thursday, Mar 16 ==> All of Calculus up to this point From Cirrito, Revision Set D, starting on page 763, the following Qs are ones you could review with: Q1,3,5,6,7,9,10,11,13,14,19,2226,30,31,35,37,38,4043,4649,56 Review Qs also posted on our facebook page FOCAL POINT of the TEST ==> Calculus of Exp, Trig, Log, Inverse Trig fcns as applied to function analysis. TIP/HINT (from today;s study session) ==> The test will have a lot of calculus with trig functions, practice with trigonometry with the cirrito questions on the website ==> Q. 5, 10, 19, 23, 26, 30, 35, 40, 42, 48 
After DAY 2 of Lesson 42 Assigned on Tuesday, Mar 7 Due: Monday, Mar 13 AS RENEGOTIATED: NEXT TEST DATE is Thursday, Mar 16 ==> All of Calculus up to this point From Cirrito, Revision Set D, starting on page 763, the following Qs are ones you could review with: Q1,3,5,6,7,9,10,11,13,14,19,2226,30,31,35,37,38,4043,4649,56 Next lesson covers Related Rates as well as Optimization, so here are some videos that would be good to preview, before coming to class on Monday, Mar 13: Video #1 Related Rates from mathispower4u and Video #2 Related Rates from patrickjmt Video #3 Optimization from mathispower4u and Video #4 Optimization from patrickjmt 
After Lesson 42 Assigned on Sunday, Mar 5 Due: Tuesday, Mar 7 To practice with implicit differentiation, from Cirrito, Ex 19.7.1 on p656, do a few from Q1 and then from Ex 19.7.2 on p659, do a few from Q1. Spent 45  60 minutes practicing that which you think you need. For review, video link #1 from mathispower4u and here is another video from Patrickjmt and here is one video from mathbff 
After Lesson 41 Assigned on Wednesday, Mar 1 Due: Sunday, Mar 5 To practice with secondary and inverse trig functions, from Cirrito, Ex 19.3 on p637, do a few from Q22,23,24 as well as Ex 19.4 on p643, do a few from Q1,2,3,7,8 and work through Q4,5,9 (harder!!) as well as Ex 19.6, p651, Q2 and simply spent 45  60 minutes practicing that which you think you need. 
After Day 2 of Lesson 40 Assigned on Monday, Feb 27 Due: Wednesday, Mar 1 To continue practicing with our new techniques, from Cirrito, Ex 19.3 on p637, Q1014,18,19,20 as well as Ex 19.5 on p649, Q48 as well as Ex 19.6, p652, Q3,4,5,6,9,10 and simply spent 45  60 minutes practicing that which you think you need. 
After Day 1 of Lesson 40 Assigned on Thursday, Feb 23 Due: Monday, Feb 27 To practice with our new techniques, from Cirrito, Ex 19.4 on p643 as well as 19.5 on p648, and simply spent 45  60 minutes practicing that which you think you need (can't do trig inverse  or the "arc" trig functions ... yet ..... or you could figure it out ...... )

After Day 2 of Lesson 39 Assigned on Tuesday, Feb 21 Due: Thursday, Feb 23 Watch videos & record notes & examples on the following differentiation techniques: (1) Product Rule: VIDEO #1 from mathispower4u and VIDEO #2 from ExamSolutions (2) Quotient Rule: VIDEO #1 from mathispower4u and VIDEO #2 from patrickjmt (3) Chain Rule: VIDEO #1 from mathispower4u and VIDEO #2 from mathispower4u Give me feedback on this presenter ..... Chain Rule from mathbff 
After Day 1 of Lesson 39 Assigned on Sunday, Feb 19 Due: Tuesday, Feb 21 From our Lesson 39 Problem Set, work through problems in Q4, Q5 and Q6 For review of solving simple trig equations, here are two videos: 
After our UNIT TEST Assigned on Wednesday, Feb 15 Due: Sunday, Feb 19 (1) For Graphical Differentiation  Here is a handout with which you could practice (2) Watch the following videos (and any others you wish), in order to prepare for Sunday's class, wherein we will WORK WITH the derivatives of trig functions, exponential and logarithmic functions: (a) TRIG derivative video from mathispower4u; (b) EXPONENTIAL fcn derivative video from NewtonianMathematics and (c) LN Derivative Video from MathemAddicts 
After Lesson 38 on Graphical Differentiation Assigned on Monday, Feb 13 Due: Wednesday, Feb 15 (1) For our first CALCULUS TEST on Feb 15 ==> Two resources have been posted on our facebook page. And additional resources from Cirrito, Revision Set D, p763, Q3,7,9,11,14,16,20,22,25,37 and if you want word problems Q12,15,33 (2) Videos for Graphical Differentiation  here are two from patrickjmt. Here is a handout with which you could practice Graphing a Derivative from a Function Graphing a Function from Its Derivative 
After Lesson 37 on Using Second Derivatives to Analyze Functions Assigned on Thursday, Feb 9 Due: Monday, Feb 13 Work through some of Q1, 3cdf, 4ab, 5, 8fhi, 12 on pg 329  332 from Nelson 12, Chap 4.7 on the Second Derivative & Concavities. You could also consider working through Q17,19,21 
After Lesson 36 on Using Derivatives: Using the Power Rule to Analyze Functions Assigned on Tuesday, Feb 7 Due: Thursday, Feb 9 From Cirrito, Ex 20.2 on p691, do a few from Q1,2gjkl, 3ij,19,26,27 Watch these two videos from mathispower4u to preview our next lesson, involving second derivatives and concavities ==> VIDEO #1 (concept) and then VIDEO #2 (worked example) 
After Lesson 35B on Using Derivatives: Analyzing Polynomial Functions Assigned on Sunday, Feb 5 Due: Tuesday, Feb 7 From Cirrito, Ex 20.2 on p691, do a few from Q1,2cdghjl, 4,10,11,12 and for a challenge (for the time being), you can try some from Q15,16,17,19 A nice link to a geogebra animation, showing how the Squeeze Theorem is applied to get the lim of sin(x)/x as x > 0. 
After Lesson 35A on Continuity & Differentiability AND Working with Tangents Assigned on Wednesday, Feb 1 Due: Sunday, Feb 5 DO EITHER (or some from each): (1) For a NONCirrito option, here are some questions that deal with tangents & normals as well (2) From Cirrito, E 19.2.1 on p617, do a few from Q514 
After Lesson 34 on Derivatives & Instantaneous Rates of Change Assigned on Monday, Jan 30 Due: Wednesday, Feb 1 From Cirrito, Ex 19.1 on p612, do a few from Q1,2,3 and all of 4 From Cirrito, E 19.2.1 on p617, do a few from Q4 
After Lesson 33 on Limits & Continuity Assigned on Thursday, Jan 26 Due: Monday, Jan 30 From this worksheet, work through some of the problems: on p1,2 ==> Q2,3,4,5,7 and on p4,5 ==> Q2,3,4,10. Feel free to do some Qs on p3. To check your work, use www.wolframalpha.com Secondly, find out what the Intermediate Value Theorem is and why continuity is important 
After DAY 2 of Lesson 32 on Limits Assigned on Monday, Jan 23 Due: Thursday, Jan 26 From this worksheet, work through some of the problems in Q2 as well as Q3,4. To check your work, use www.wolframalpha.com 
After Lesson 32 on Limits Assigned on Thursday, Jan 19 Due: Monday, Jan 23 From this worksheet, work through some of the sample problems (Q115 and explained solutions are provided on the worksheet) as well as working through the graphs for Q1619 Watch some of the 4 posted videos on the Squeeze Theorem as posted on our facebook page 
After Lesson 31 on Average and Instantaneous Rates of Change Assigned on Tuesday, Jan 17 Due: Thursday, Jan 19 From Cirrito, Ex 18.3 on p599, Q1c,3gi,5,6 Watch some of the 4 posted videos on the Squeeze Theorem as posted on our facebook page 
After DAY 1 of Lesson 31 on Rates of Change Assigned on Sunday, Jan 15 Due: Tuesday, Jan 17 From Cirrito, Ex 18.1 on pg 5901, do some from Q2,3,5,6,7,9,10 You may WANT TO watch this video on tangent and secant lines to review the idea behind Sunday's lesson 
After Lesson 30 on Arcs & Sectors Assigned on Wednesday, Jan 11 Due: Sunday, Jan 15 Spend 45ish minutes working through a few questions from pages 3 & 4 from our Lesson 30 Problem Set. If you need some help or have a solution to offer, post it on our facebook page REMEMBER, we have a quiz on Triangle Trig & Arcs and Sectors at the start of Sunday's class You may WANT TO watch these two videos on AVERAGE RATES OF CHANGE (Video #1 and Video #2) in preparation for Sunday's lesson 
After Lesson 29 on Triangle Trig (RTT,SL,CL) Assigned on Monday, Jan 9 Due: Wednesday, Jan 11 Spend 45ish minutes working through a few questions from our Lesson 29 Problem Set. If you need some help or have a solution to offer, post it on our facebook page 
After Lesson 27 on Trig Equations (Linear) Assigned on Sunday, Dec 4 Due: Tuesday, Dec 6 You should work through a few problems in Cirrito, Ex 10.5, on p374, do a few questions from each of Q1,2,3,4,5. Q14 should be CI, while you may need a calc in Q5 
After Lesson 26 on Double Angle Identities Assigned on Wednesday, Nov 30 Due: Sunday, Dec 4 You should work through a few problems in the following sets of questions: Continue in Cirrito, Ex 10.2.2, on p342, do a few from Q5,6,8,11,12 Continue in Cirrito, Ex 10.4, on p364, do a few from Q6 Here are some practice problems for proving trig identities. Sample Problems 118 are on page 1, for which the solutions appear starting on p3 of the pdf and then Practice Problems on page 2 (Solutions linked here). Try as many or few as you wish!! 
After Lesson 25 on Addition/Subtraction Identities Assigned on Monday, Nov 28 Due: Wednesday, Nov 30 You should work through a few problems in the following sets of questions: Continue in Cirrito, Ex 10.2.2, on p342, do a few from Q1,2acfhi,3,7,9bf 
After DAY 2 of Lesson 24 on Basic Identities Assigned on Wednesday, Nov 23 Due: Monday, Nov 28 You should work through a few problems in the following sets of questions: Continue in Cirrito, Ex 10.2.1, on p331, do a few more from Q14 and try several Qs from Q7,9,10,12,16a,17b To prepare for a discussion of the addition/subtraction formulas, watch the following video: 
After Lesson 24 on Basic Identities Assigned on Monday, Nov 21 Due: Wednesday, Nov 23 You should work through a few problems in the following sets of questions: From Cirrito, Ex 10.4 on p365, Q10,12 and also from Cirrito, Ex 10.2.1, on p331, Q1abcd, 2abc,3ac,4 To prepare for a discussion of the addition/subtraction formulas, watch the following video: 
After Lesson 22 on Graphs of Sinusoidal Functions Assigned on Thursday, Nov 17 Due: Monday, Nov 21 You should work through a few problems in the following sets of questions: From Cirrito, Ex 10.3 on p355, Q1,2,3,7 and also from Cirrito, Ex 10.4, on p325, Q6,8 (no calcs) 
After DAY 2 of Lesson 21 on Special Right Triangles Assigned on Tuesday, Nov 15 Due: Thursday, Nov 17 You should work through a few problems in the following sets of questions: (1) From Cirrito, Ex 10.1 on p325, Q36 (2) From Cirrito, Ex 10.1 on p325, Q89 (3) From Cirrito, Ex 10.1, on p325, Q1012 (4) From Cirrito, Ex 10.1 on p325, Q1317 (5) From Cirrito, Ex 10.4, on p325, Q1af,5 (no calcs) As a REVIEW from IM3 regarding the trigonometric functions and how triangles relate to these SINE CURVE COSINE CURVE TANGENT "CURVE" 
After Lesson 21 on Special Right Triangles and Radians/Degrees Assigned on Sunday, Nov 13 Due: Tuesday, Nov 15 You should work through a bit of each of the following: Practice with Special Right Triangles; from Cirrito, Ex 9.1 on p277, do some from Q2,4,5 To practice with RAdians, Degrees & Special Right Triangles; from Cirrito, Ex 10.1, p325, do some from Q14 To review RADIANS from Sunday's class, play with the following geogebra applet 
After Lesson 20 on Logarithmic Algebra  Laws of Logarithms Assigned on Wednesday, Nov 9 Due: Sunday, Nov 13 You should work through a bit of each of the following: Practice with the Laws of Logs; from Cirrito, Ex 7.4 on p227, do some from Q5fgi,7cef,8ab,9hkl,10bcd,11ac,13bc,14efhik,15df,16bce To prepare for Sunday's class, watch these two videos, explaining to you what a radian is 
After Lesson 18 & 19 on Exponential & Logarithmic Algebra Assigned on Monday, Nov 7 Due: Wednesday, Nov 9 You should work through a bit of each of the following: To review the Applications of Exponential Equations, from the Cirrito text, Ex 7.2 on p212, do some from Q5,6,7,15,16 To prepare for Wednesdays class, Watch this video on deriving the Laws for Logarithms. After the video, practice with the Laws of Logs; from Cirrito, Ex 7.4 on p227, do some from Q14 
After Lesson 18 & 19 on Exponential & Logarithmic Algebra Assigned on Thursday, Nov 3 Due: Monday, Nov 7 You should work through a bit of each of the following: To review the Exponential Equations, from the Cirrito text, Ex 7.2 on p212, do some from Q5,6,7,15,16; from Cirrito, Ex 7.3 on p220, do some from Q35; from Cirrito, Ex 7.5, do some from Q2,3,4 To prepare for Mondays class, Watch this video on deriving the Laws for Logarithms 
After Lesson 16 & 17 on Exponential Algebra Assigned on Tuesday, Oct 25 Due: Sunday, Oct 30 You should work through a bit of each of the following: To review the Exponential Equations, from the Cirrito text, Ex 7.1.3 on p204, do some from Q1,2; from Cirrito, Ex 7.1.4 on p206, do some from Q1,2; from Cirrito, Ex 7.1.5, do some from Q18 
After DAY 2 of Lesson 15 on Graphs of Rational Functions Assigned on Sunday, Oct 23 Due: Tuesday, Oct 25 You should work through a bit of each of the following: (1) To work with rational functions, from SLIDE 26 of our Lesson 15 notes, Qg,h,i,l. (2) To review the Exponent Laws, from the Cirrito text, Ex 7.1.1 on p2001, do some from Q68 
After Lesson 15 on Graphs of Rational Functions Assigned on Wednesday, Oct 19 Due: Sunday, Oct 23 To work with rational functions, from the textbook PRECALCULUS; A Graphing Approach by Holt, Sec 4.4; p290, Q23,26,30,31,32,44,47,71. You SHOULD present algebraically developed solutions to these questions!!! Use DESMOS (although ideally, you should also master the TI84 to see these graphs) only to verify/check. 
After Lesson 14 on Working with Polynomials: Inequalities, FTA Assigned on Monday, Oct 17 Due: Wednesday, Oct 19 From the Cirrito Text, Exercise 11.4.2 on p418, Q2bc,3abd,47,9 or 10 and then Exercise 11.2, p400, do a couple of Q1 (to review/revisit drawing complex numbers) 
After Lesson 12 on Polynomial Functions & Working with Complex Numbers Assigned on Wednesday, Sept 28 Due: Sunday, Oct 2 From the Cirrito Text, Exercise 11.4.1, p414, do a couple of each of Q1,2 and then Exercise 11.4.2 on p418, Q2bc,3abd,47 
After Lesson 11 on Quadratic Functions Assigned on Monday, Sept 26 Due: Wednesday, Sept 28 From the Cirrito, 3rd ed. Textbook, Exercise 2.4.2 on p567, Q37 From the Cirrito, 3rd ed. Textbook, Exercise 2.4.3 on p61, Q2hi,3,4bd,5,7b From the Cirrito, 3rd ed. Textbook, Exercise 3.5.2 on p87, Q1abef 
After Lesson 10 on Inverses of Functions Assigned on Thursday, Sept 22 Due: Monday, Sept 26 from the Cirrito, 3rd ed. Textbook, Exercise 5.4.2, pg 164, Q1efgh,3,5efgh,9,10bc,12,13 and for more of a challenge, you could try Q14,15,18,21b,20 
After Lesson 9 on Composing with Functions Assigned on Tuesday, Sept 20 Due: Thursday, Sept 22 from the Cirrito text => Exercises 5.4.1, p154, Q3 (ii),(v),6,9,and for advanced understanding, try Q 10,11,18,21,22. NOTE: If you get stuck on 11,18,21,22, practice more with the basics from Q3 Here are some videos that may help clarify the existence of a composite concept: VIDEO #1 from BetterMarksInMaths VIDEO #2 from Mark Stephens 
After Lesson 8 on Sequences, Series & Sigma Notation Assigned on Sunday, Sept 18 Due: Tuesday, Sept 20 From the Cirrito text, Ex 8.2.5 on pg 2656, Q13, 510, 1315 
After ASSESSMENT #1 & for your EID BREAK Assigned on Thursday, Sept 8 Due: Sunday, Sept 18 Work through Syllabus Topic 1.1 on Sequences & Series from the following this link of outline/recommendations/suggestions 
After LESSON 6  New Concepts Arising from Transformation of Functions Assigned on Thursday, Sept 1 Due: Monday, Sept 5 I've added two resources into our shared google folder for your review of Functions ==> (1) Chapter 2 Review from the Oxford textbook as well as (2) Chapter 2 Review from the Pearson textbook. As we haven't formally discussed inverses, I will not be assessing inverses of functions (so these are questions you may choose not to do) Eventually, you would like to be able to work through questions like: (i) Ex 6.1 on pg 176, Q9; (ii) Ex 6.2 on pg 182, Q7,9,10; (iii) Ex 6.3 on pg 187, Q5 from the Cirrito text 
After LESSON 5  Transformation of Functions Assigned on Tuesday, Aug 28 Due: Monday, Sept 5 To demonstrate an understanding transformations, work through some of the questions from this worksheet. Try working through the second page & do Question #2 and then go to page 5 & do Q1,3,5,7,9. Eventually, you would like to be able to work through questions like: (i) Ex 6.1 on pg 176, Q9; (ii) Ex 6.2 on pg 182, Q7,9,10; (iii) Ex 6.3 on pg 187, Q5 from the Cirrito text 
After LESSON 4  Analyzing Parent Functions  An Algebraic Perspective Assigned on Sunday, Aug 28 Due: Tuesday, Aug 30 Work through some of the questions about odd/even symmetry from Slide 13 of Lesson 4. To practice some concepts from the Cirrito text, work through some of: (i) Ex 5.3.1 on pg 125, Q6bd,7; (ii) Ex 5.3.2 on pg 131, Q6ac, 7; (iii) Ex 5.3.5 on pg 147, Q3, 4a 
After LESSON 3  Analyzing Parent Functions Assigned on Wednesday, Aug 24 Due: Sunday, Aug 28 Complete all Lesson 3 function analysis. To practice your understanding of function analysis, open up the pdf or ppt for Lesson 4, go to slide 6 (can try A and/or B) or slide 7 (can do/try A,C or D) 
After LESSON 2  Review of Function Concepts Assigned on Monday, Aug 22 Due: Wednesday, Aug 24 Complete all Lesson 2 questions 
After LESSON 1  Working with Absolute Value Assigned on Thursday, Aug 18 Due: Monday, Aug 22 From the Cirrito Textbook, 3rd ed. (you should have received from me a pdf of the textbook last year!!!): Exercises 2.1 on page 2223, Q7,8,10,11 are suggested (but you may do more ... or less  your choice) Exercises 5.3.2 on page 130, Q16 (do a few from each => but you may do more ... or less  your choice) 