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 Q1-7


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 Q5-11 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 940-2, some Qs from each of Q3-10

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 Q1-7,11,12a,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 Q1-7,11,12a,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 Q8-10 and 12-14 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 Q1-6 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 Q8-10


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, Q1-5 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, Q4-7 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 re-watch 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 87-88, Q1-5,10,11


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 69-70, try some from Q6-9 & then try most of 10-16

(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 69-70, try some from Q6-9 & then try most of 10-16

(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 delta-epsilon 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: Q1,7-12 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 Q1-15 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 Q1-15

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 75-76 on any of Q1-5 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 Q5-8


Prepare for Monday's lesson on First Order Linear Diff Eqs by watching some of these videos:

Video #1 on Solving Linear First-Order 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 First-Order 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 Q1-8 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 Q1-8

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 Q2-6


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 1-4 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, Q1,2,5-9,11,12,13,15,18,19,20

Ex 21.5 (Optimization) on p755, Q10,11,13-17,20-22,25,26,28,32,33,34


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: Q1,3,5,6,7,9,10,11,13,14,19,22-26,30,31,35,37,38,40-43,46-49,56

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: Q1,3,5,6,7,9,10,11,13,14,19,22-26,30,31,35,37,38,40-43,46-49,56


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, Q10-14,18,19,20 as well as Ex 19.5 on p649, Q4-8 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 NON-Cirrito 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 Q5-14


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 (Q1-15 and explained solutions are provided on the worksheet) as well as working through the graphs for Q16-19

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 590-1, 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. Q1-4 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 1-18 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 Q1-4 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, Q3-6

(2) From Cirrito, Ex 10.1 on p325, Q8-9

(3) From Cirrito, Ex 10.1, on p325, Q10-12

(4) From Cirrito, Ex 10.1 on p325, Q13-17

(5) From Cirrito, Ex 10.4, on p325, Q1a-f,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 Q1-4


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 Q1-4




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 Q3-5; 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 Q1-8


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 p200-1, do some from Q6-8


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 TI-84 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,4-7,9 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,4-7


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 p56-7, Q3-7

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 265-6, Q1-3, 5-10, 13-15


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 22-23, Q7,8,10,11 are suggested (but you may do more ... or less - your choice)

Exercises 5.3.2 on page 130, Q1-6 (do a few from each => but you may do more ... or less - your choice)