Lesson Notes for Mr. Santowski's HL Math Class
These are some lesson note oddities/peculiarities that I insist upon:
(1) Include the lesson date, lesson number and title into your notes
(2) You may write down any key terms/definitions that are presented
(3) Participate in the concept development/exploration/investigation and include this into your notes
(4) Participate in lesson examples and make sure that the question (exact or paraphrased) is included as is YOUR attempt at a solution OR at my illustrated solution
(5) Feel free to print out the lesson notes BEFORE you come to class (as they will be uploaded on my web pages prior to the lesson being taught). Including these printouts plus your additions to the printed notes is a valid way of keeping your note book up to date.
(6) Keep your notebook well organized and uptodate. I will periodically, without advance notice, collect and MARK your lesson notes!!!!
Tuesday, Mar 22 
Lesson 100  The Normal Distribution Worksheet #1 and then Worksheet #2 
Link to Lesson 100 as a PDF and as a POWERPOINT 
Tuesday, Mar 15 
Lesson 99  Continuous Random Variables 
Link to Lesson 99 as a PDF and as a POWERPOINT 
Sunday, Mar 13 
Lesson 98  Poisson Distributions 
Link to Lesson 98 as a PDF and as a POWERPOINT 
Sunday, Mar 6 
Lesson 97  Binomial Distributions 
Link to Lesson 97 as a PDF and as a POWERPOINT 
Wednesday, Mar 2 
Lesson 96  Expected Values and Variance of Discrete Random Variables 
Link to Lesson 96 as a PDF and as a POWERPOINT 
Monday, Feb 29 
Lesson 95  Discrete Random Variables 
Link to Lesson 95 as a PDF and as a POWERPOINT 
Tuesday, Feb 23 
Lesson 93  Bayes Theorem 
Link to Lesson 93 as a PDF and as a POWERPOINT 
Sunday, Feb 21 
Lesson 92  Review of Combinations & Permutations & Probability with Combinations & Permutations & Conditional Probability 
Topic #1: Review of Combinations & Permutations Topic #2: Probability with Combinations & Permutations Topic #3: Conditional Probability 
Monday, Feb 15 
Lesson 91  Review of Probability: Addition and Multiplication Rules 

Tuesday, Feb 9 
Lesson 90  Distances in 3 Space 
Link to Lesson 90 as a PDF and as a POWERPOINT 
Sunday, Feb 7 
Lesson 89  Intersection of 3 of Planes 
Link to Lesson 89 as a PDF and as a POWERPOINT 
Monday, Feb 1 
Lesson 88  Equations of Planes 
Link to Lesson 88 as a PDF and as a POWERPOINT 
Tuesday, Jan 26 
Lesson 87  Cross Product of Vectors 
Link to Lesson 87 as a PDF and as a POWERPOINT 
Tuesday, Jan 19 
Lesson 85  Vector Equation of a Line 
Link to Lesson 85 as a PDF and as a POWERPOINT 
Sunday, Jan 17 
Lesson 84  Scalar (Dot) Product of Vectors 
Link to Lesson 84 as a PDF and as a POWERPOINT 
Wednesday, Jan 13 
Lesson 83  Algebraic Vectors 
Link to Lesson 83 as a PDF and as a POWERPOINT 
Monday, Jan 11 
Lesson 82  Geometric Vectors 
Link to Lesson 82 as a PDF and as a POWERPOINT 
Monday, Dec 7 
Lesson 81  Solving Systems of Equations 
Link to Lesson 81 as a PDF and as a POWERPOINT 
Sunday, Nov 29 
Lesson 80  Proof by Induction 
Link to Lesson 80 as a PDF and as a POWERPOINT 
Tuesday, Nov 24 
Lesson 79  Exponential Form of Complex Numbers 
Link to Lesson 79 as a PDF and as a POWERPOINT 
Sunday, Nov 22 
Lesson 78  Polar Form of Complex Numbers 
Link to Lesson 78 as a PDF and as a POWERPOINT 
Wednesday, Nov 18 
Lesson 77  Geometric Representations of Complex Numbers Link to GEOGEBRA interactive to visualize addition/subtraction of complex numbers 
Link to Lesson 77 as a PDF and as a POWERPOINT 
Monday, Nov 16 
Lesson 76  Introduction to Complex Numbers 
Link to Lesson 76 as a PDF and as a POWERPOINT 
Thursday, Nov 11 
Lesson 75  More Work with Taylor & Maclaurin Series 
Link to Lesson 75 as a PDF and as a POWERPOINT 
Wednesday, Nov 4 
Lesson 74  Taylor & Maclaurin Series 
Link to Lesson 74 as a POWERPOINT Link to PPT from Chapter 10, Section 11 of Stewart textbook Link to PPT of Worked Solutions to Taylor & Maclaurin Series problems 
Thursday, Oct 29 
Lesson 73  Functions as Power Series 
Link to Lesson 73 as a PDF and as a POWERPOINT 
Tuesday, Oct 27 
Lesson 72  Introduction to Power Series & Their Convergences 
Link to Lesson 72 as a PDF and as a POWERPOINT 
Sunday, Oct 25 
Lesson 71  Summary of Convergence Tests 
Link to Lesson 71 as a PDF and as a POWERPOINT 
Tuesday, Oct 20 
Lesson 70  Alternating Series & Absolute Convergence 
Link to Lesson 70 as a PDF and as a POWERPOINT 
Sunday, Oct 18 
Lesson 69  Ratio Test & Comparison Test 
Link to Lesson 69 as a PDF and as a POWERPOINT 
Tuesday, Oct 13 
Lesson 68  Infinite Series  Integral Test 
Link to Lesson 68 as a PDF and as a POWERPOINT 
Sunday, Oct 11 
Lesson 67  Infinite Series  An Introduction 
Link to Lesson 67 as a PDF and as a POWERPOINT 
Thursday, Sep 17 
Lesson 66  Improper Integrals 
Link to Lesson 66 as a PDF and as a POWERPOINT 
Sunday, Sep 13 
Lesson 65  Infinite Sequences 
Link to Lesson 65 as a PDF and as a POWERPOINT 
Wednesday, Sep 9 
Lesson 64  L'Hopital's Rule 
Link to Lesson 64 as a PDF and as a POWERPOINT 
Monday, Sep 7 
Lesson 63  Intermediate Value Theorem, Rolle's Theorem & Mean Value Theorem 
Link to Lesson 63 (IVT) as a PDF and as a POWERPOINT Link to Lesson 63 (RT & MVT) as a PDF and as a POWERPOINT 
Thursday, Sep 3 
Lesson 62  Continuity & Differentiability 
Link to Lesson 62 as a PDF and as a POWERPOINT 
Tuesday, Sep 1 
Lesson 61  Euler's Method for Differential Equations 
Link to Lesson 61 as a PDF and as a POWERPOINT 
Sunday, Aug 30 
Lesson 60  Linear Differential Equations 
Link to Lesson 60 as a PDF and as a POWERPOINT 
Wednesday, Aug 26 
Lesson 59  Homogeneous Differential Equations 
Link to Lesson 59 as a PDF and as a POWERPOINT 
Monday, Aug 24 
Lesson 58  Slope Fields 
Link to Lesson 58 as a PDF and as a POWERPOINT 
Thursday, Aug 20 
SUMMER REVIEW Lesson 
Link to REVIEW Lesson as a PDF and as a POWERPOINT 
Tuesday, June 2 
Lesson 57  Applications of Differential Equations 
Link to Lesson 57 as a PDF and as a POWERPOINT 
Sunday, May 31 
Lesson 56  Separable Differential Equations 
Link to Lesson 56 as a PDF and as a POWERPOINT 
Monday, May 25 
Lesson 55  Differential Equations 
Link to Lesson 55 as a PDF and as a POWERPOINT 
Thursday, May 21 
Lesson 54  FTC Part 2 
Link to Lesson 54 as a PDF and as a POWERPOINT 
Wednesday, May 13 
Lesson 53  Integration by Parts 
Link to Lesson 53 as a PDF and as a POWERPOINT 
Thursday, May 7 
Lesson 52  Integration by Substitution 
Link to Lesson 52 as a PDF and as a POWERPOINT 
Tuesday, May 5 
Lesson 51  Volumes of Revolution  By Cylinders 
Link to Lesson 51 as a PDF and as a POWERPOINT 
Sunday, May 3 
Lesson 51  Volumes of Revolution 
Link to Lesson 51 as a PDF and as a POWERPOINT 
Tuesday, Apr 28 
Lesson 50  Area Between Curves 
Link to Lesson 50 as a PDF and as a POWERPOINT 
Monday, Apr 26 
Lesson 49  Working with Definite Integrals 
Link to Lesson 49 as a PDF and as a POWERPOINT 
Thursday, Apr 23 
Lesson 48  Area under the Curve as Definite Integrals 
Link to Lesson 48 as a PDF and as a POWERPOINT 
Tuesday, Apr 21 
Lesson 47  Area under the Curve as a Limits of a Sum 
Link to Lesson 47 as a PDF and as a POWERPOINT 
Sunday, Apr 19 
Lesson 46  Area under the Curve 
Link to Lesson 46 as a PDF and as a POWERPOINT 
Wednesday, Apr 15 
Lesson 45  AntiDerivatives & Indefinite Integrals 
Link to Lesson 45 as a PDF and as a POWERPOINT 
Wednesday, Mar 25 
Lesson 44  Optimization 
Link to Lesson 44 as a PDF and as a POWERPOINT 
Monday, Mar 23 
Lesson 43  Application of Derivatives  Kinematics 
Link to Lesson 43 as a PDF and as a POWERPOINT 
Sunday, Mar 15 
Lesson 42  Related Rates 
Link to Lesson 42 as a PDF and as a POWERPOINT 
Tuesday, Mar 10 
Lesson 41  Graphical Differentiation 
Link to Lesson 41 as a PDF and as a POWERPOINT 
Thursday, Mar 5 
Lesson 40  Further Derivatives of Trig Functions 
Link to Lesson 40 as a PDF and as a POWERPOINT 
Tuesday, Mar 3 
Lesson 39  Derivatives of Primary Trig Functions 
Link to Lesson 39 as a PDF and as a POWERPOINT 
Tuesday, Feb 17 
Lesson 38  Implicit Differentiation 
Link to Lesson 38 as a PDF and as a POWERPOINT 
Thursday, Feb 12 
Lesson 37  Second Derivatives, Concavities & Inflection Points 
Link to Lesson 37 as a PDF and as a POWERPOINT 
Tuesday, Feb 10 
Lesson 36  Chain Rule 
Link to Lesson 36 as a PDF and as a POWERPOINT 
Sunday, Feb 8 
Lesson 35  Product & Quotient Rules 
Link to Lesson 35 as a PDF and as a POWERPOINT 
Monday, Feb 2 
Lesson 34  Polynomial Function Analysis using Derivatives 
Link to Lesson 34 as a PDF and as a POWERPOINT 
Thursday, Jan 29 
Lesson 33  Power Rule 
Link to Lesson 33 as a PDF and as a POWERPOINT 
Tuesday, Jan 27 
Lesson 32  Continuities 
Link to Lesson 32 as a PDF and as a POWERPOINT 
Tuesday, Jan 27 
Lesson 31  Limits  DAY 2 
Link to Lesson 31 as a PDF and as a POWERPOINT 
Thursday, Jan 22 
Lesson 31  Limits 
Link to Lesson 31 as a PDF and as a POWERPOINT 
Sunday, Jan 18 & Tuesday, Jan 20 
Lesson 30  Rates of Change 
Lesson 30 (Day 1 & Day 2) as a powerpoint and as a pdf. 
Wednesday, Jan 14 
Lesson 29  Circle Geometry  Arcs & Sectors 
Link to Lesson 29 as a PDF and as a POWERPOINT 
Wednesday, Jan 14 
Lesson 29  Sine Law and the Ambiguous Case 
Link to Lesson 29 as a PDF and as a POWERPOINT 
Monday, Jan 12 
Lesson 28  Review of Right Triangle Trig, Sine Law & Cosine Law 
Link to Lesson 28 as a PDF and as a POWERPOINT 
Tuesday, Dec 9 
Lesson 27  Graphs of Trig Functions 
Link to Lesson 27 as a PDF and as a POWERPOINT 
Wednesday, Dec 3 
Lesson 26  Solving QuadraticTrigonometric Equations 
Link to Lesson 26 as a PDF and as a POWERPOINT 
Monday, Dec 1 
Lesson 25  Solving Linear Trigonometric Equations 
Link to Lesson 25 as a PDF and as a POWERPOINT 
Wednesday, Nov 26 
Lesson 24  Double Angle/Half Angle Identities 
Link to Lesson 24 as a PDF and as a POWERPOINT 
Monday, Nov 24 
Lesson 23  Addition/Subtraction Identities 
Link to Lesson 23 as a PDF and as a POWERPOINT 
Thursday, Nov 20 
Lesson 22  Basic Identities 
Link to Lesson 22 as a PDF and as a POWERPOINT 
Tuesday, Nov 18 
Lesson 21  Review of Trigonometry 
Link to Lesson 21 as a PDF and as a POWERPOINT 
Monday, Nov 10 
Lesson 20  Laws of Logarithms 
Link to Lesson 20 as a PDF and as a POWERPOINT 
Thursday, Nov 6 
Lesson 19  Solving & Applying Exponential Eqns Using Logs 
Link to Lesson 19 as a PDF and as a POWERPOINT 
Tuesday, Nov 4 
Lesson 18  The Log Function  An Inverse Perspective 
Link to Lesson 18 as a PDF and as a POWERPOINT 
Sunday, Nov 2 
Lesson 17  Applications of Exponential Functions Here is the DESMOS Interactive Graph I need you to open for our FAST FIVE 
Link to Lesson 17 as a PDF and as a POWERPOINT 
Wednesday, Oct 29 
Lesson 16  Algebra of Exponential Functions  Solving Equations 
Link to Lesson 16 as a PDF and as a POWERPOINT 
Monday, Oct 27 
Lesson 15  Algebra of Exponential Functions  Exponent Laws 

Tuesday, Oct 21 
Lesson 14  Rational Functions 
Link to Lesson 14 as a PDF and as a POWERPOINT 
Wednesday, Oct 15 
Lesson 13  Quadratic & Polynomial Equations with Complex Roots 
Link to Lesson 13 as a PDF and as a POWERPOINT 
Monday, Oct 13 
Lesson 12  Polynomial Equations and Inequalities 
Link to Lesson 12 as a PDF and as a POWERPOINT 
Thursday, Sep 25 
Lesson 11  Functions & Their Transformations Click on this graph image to open up the DESMOS grapher. Play around with it a bit and be prepared to tell me what Function Transformations is all about 
Here are the powerpoint Lesson Notes for Day 2 of our work on Transforming Functions (and here as a PDF) 
Tuesday, Sep 23 
Lesson 10  Functions & Their Inverses 
Link to Lesson 10 as a PDF and as a POWERPOINT 
Sunday, Sep 21 
Lesson 9  Compositions of Functions 
Link to Lesson 9 as a PDF and as a POWERPOINT 
Wednesday, Sep 17 
Lesson 8  Combinations of Functions 
Link to Lesson 8 as a PDF and as a POWERPOINT 
Monday, Sep 15 
Lesson 7  Parent Function Analysis  Algebraic Perspective 
Link to Lesson 7 as a PDF and as a POWERPOINT 
Sunday, Sep 7 
Lesson 6  Parent Function Analysis 
Link to Lesson 6 and a WORD doc Here is a copy of the template that you can use to record the analysis for the parent functions 
Wednesday, Sep 2 
Lesson 5  Introduction to Functions: Terms & Concepts 
Link to Lesson 5 and here is a copy of the EveryThing Function graph!!!! Here is a copy of the ANSWERS to the questions from Lesson 1.5. Make sure you UNDERSTAND them. 
Thursday, August 28 
Lesson 4  Summation Notation & Infinite Series 
Link to Lesson 4 and here as a Powerpoint 
Tuesday, August 26 
Lesson 3  Introduction to Series 
Link to Lesson 3 and here as a Powerpoint 
Wednesday, August 20 
Lesson 2  Working with Sequences 

Monday, August 18 
Lesson 1  Introduction to Sequences 
Link to Lesson 1 as pdf and here as a Powerpoint 