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) I do encourage you to do SOME of your lesson work & homework solutions & conceptual developments on the whiteboards. So get into the habit of taking pictures of your board work & posting these pictures of your work onto a Google site (which would represent an eversion (or extension) of your notebook
Monday, Feb 12 
Lesson 85  Distances in 3 Space 
Link to Lesson 85 Notes as a pdf and here is Lesson 85 Notes as a ppt 
Thursday, Feb 8 
Lesson 84  Intersections of Lines & Planes 
Link to Lesson 84 Notes as a pdf and here is Lesson 84 Notes as a ppt 
Sunday, Feb 4 
Lesson 83  Equation of a Plane 
Link to Lesson 83 Notes as a pdf and here is Lesson 83 Notes as a ppt 
Monday, Jan 29 
Lesson 82  Vector Equation of a Line 
Link to Lesson 82 Notes as a pdf and here is Lesson 82 Notes as a ppt 
Monday, Jan 22 
Lesson 81  Algebraic Vectors  Vector Product 
Link to Lesson 81 Notes as a pdf and here is Lesson 81 Notes as a ppt 
Thursday, Jan 18 
Lesson 80  Algebraic Vectors  Scalar Product 
Link to Lesson 80 Notes as a pdf and here is Lesson 80 Notes as a ppt 
Tuesday, Jan 16 
Lesson 79  Algebraic Vectors 
Link to Lesson 79 Notes as a pdf and here is Lesson 79 Notes as a ppt 
Sunday, Jan 14 
Lesson 78  Working with Geometric Vectors 
Link to Lesson 78 Notes as a pdf and here is Lesson 78 Notes as a ppt 
Thursday, Dec 7 
Lesson 77  Systems of Equations 
Link to Lesson 77 Notes as a pdf 
Tuesday, Nov 28 
Lesson 76  Binomial Theorem 
Lesson 76 Notes as a pdf 
Sunday, Nov 26 
Lesson 75  Proof by Induction 
Link to Lesson 75 Notes as a pdf 
Tuesday, Nov 21 
Lesson 74  Exponential Form of Complex Numbers 
Link to Lesson 74 Notes as a pdf 
Sunday, Nov 19 
Lesson 73  de Moivres Theorem & Complex Numbers 
Link to Lesson 73 Notes as a pdf 
Wednesday, Nov 15 
Lesson 72  Geometric & Polar Representation of Complex Numbers 
Link to Lesson 72 Notes as a pdf 
Monday, Nov 13 
Lesson 71  Introduction to Complex Numbers 
Link to Lesson 71 Notes as a pdf 
Tuesday, Nov 7 
Lesson 70  The Series (1 + x)^{k} and Error in Taylor and MacLaurin Series and Polynomials 
Link to Lesson 70 Notes as a pdf 
Sunday, Nov 5 
Lesson 69  Working with Taylor and MacLaurin Series and Polynomials 
Link to Lesson 69 Notes as a pdf 
Monday, Oct 30 
Lesson 68  Introduction to Taylor and MacLaurin Series and Polynomials 
Link to Lesson 68 Notes as a pdf 
Monday, Oct 23 & Thursday, Oct 26 
Lesson 67  Working With Power Series 
Link to Lesson 67 Notes as a pdf 
Thursday, Oct 19 
Lesson 66  Introduction to Power Series 
Link to Lesson 66 Notes as a pdf and here is Lesson 66 Notes as a ppt 
Sunday, Oct 15 
Lesson 65  Alternating Series and Absolute and Conditional Convergence 
Link to Lesson 65 Notes as a pdf and here is Lesson 65 Notes as a ppt 
Sunday, Oct 1 
Lesson 64  Convergence Test for Infinite Series 
Link to Lesson 64 Notes on the Integral Test as a pdf and here is Lesson 64 Notes on the Integral Test as a ppt Link to Lesson 64 Notes on the Comparison & Ratio Tests as a pdf and here is Lesson 64 Notes on the Comparison & Ratio Tests as a ppt 
Wednesday, Sep 27 
Lesson 63  Infinite Series  An Introduction 
Link to Lesson 63 Notes as a pdf and here is Lesson 63 as a ppt 
Wednesday, Sep 20 
Lesson 62  Improper Integrals 
Link to Lesson 62 Notes as a pdf and here is Lesson 62 as a ppt 
Thursday, Sep 14 
Lesson 61  Infinite Sequences 
Link to Lesson 61 Notes as a pdf and here is Lesson 61 as a ppt 
Sunday, Sep 10 
Lesson 60  L'Hopital's Rule 
Link to Lesson 60 Notes as a pdf and here is Lesson 60 as a ppt 
Wednesday, Sep 6 
Lesson 59  IVT, MVT and RT 
Link to Lesson 59 Notes on IVT as a pdf and here are the Lesson 59 Notes on RT & MVT as a pdf 
Wednesday, Aug 30 
Lesson 58  Applications of Differential Equations 
Link to Lesson 58 Notes as a pdf and here is Lesson 58 as a ppt 
Monday, Aug 28 
Lesson 57  First Order Linear Differential Equations 
Link to Lesson 57 Notes as a pdf and here is Lesson 57 as a ppt 
Thursday, Aug 24 
Lesson 56  Homogeneous Differential Equations 
Link to Lesson 56 Notes as a pdf and here is Lesson 56 as a ppt 
Tuesday, Aug 22 
Lesson 55  Euler's Method  Numerical Solutions to Differential Equations 
Link to Lesson 55 Notes as a pdf and here is Lesson 55 as a ppt 
Monday, Aug 20 
Review  Slope Fields and Differential Equations 
Link to Lesson 54 Notes as a pdf and here are the same Questions, but now with solutions 
Wednesday, Aug 16 
Summer Review Lesson & Differential Equations 
Link to Lesson Notes as a pdf and here is Lesson as a ppt 
Sunday, May 22 
Lesson 54  Slope Fields 
Link to Lesson 54 Notes as a pdf and here is Lesson 54 as a ppt 
Tuesday, May 16 
Lesson 53  Separable Differential Equations 
Link to Lesson 53 Notes as a pdf and here is Lesson 53 as a ppt 
Sunday, May 14 
Lesson 52  Differential Equations 
Link to Lesson 52 Notes as a pdf and here is Lesson 52 as a ppt 
Wednesday, May 10 
Lesson 51  Fundamental Theorem of Calculus, Part 2 
Link to Lesson 51 Notes as a pdf and here is Lesson 51 as a ppt 
Monday, May 8 
Lesson 50  DAY 2  Integration Techniques 
Link to DAY 2 Lesson 50 Notes as a pdf 
Thursday, May 4 
Lesson 50  Integration by Parts 
Link to Lesson 50 Notes as a pdf and here is Lesson 50 as a ppt 
Tuesday, May 2 
Lesson 49  Volumes of Revolution  Cylinders 
Link to Lesson 49 DAY 2 Notes as a pdf and here is Lesson 49 DAY 2 as a ppt 
Monday, Apr 24 
Lesson 49  Volumes of Revolution 
Link to Lesson 49 Notes as a pdf and here is Lesson 49 as a ppt 
Thursday, Apr 13 
Lesson 48  Area Between Curves 
Link to Lesson 48 Notes as a pdf and here is Lesson 48 as a ppt 
Tuesday, Apr 11 
Lesson 47  Integration by Substitution 
Link to Lesson 47 Notes as a pdf and here is Lesson 47 as a ppt 
Wednesday, Apr 5 & Sunday, Apr 9 
Lesson 46  Working with Definite Integrals 
Link to Lesson 46 Notes as a pdf and here is Lesson 46 as a ppt 
Monday, Apr 3 
Lesson 45  Definite Integrals & Areas under Curves 
Link to Lesson 45 Notes as a pdf 
Thursday, Mar 30 
DAY 2 for Lesson 44  Antiderivatives, Integrals & Areas under Curves 
Link to Lesson 44 Notes  DAY 2 for Antiderivatives as Integrals and then here is the link to the ppt notes for Antiderivatives and Areas Under Curves 
Tuesday, Mar 28 
DAY 1 for Lesson 44  Motion and Antiderivatives 
Link to Lesson 44 Notes  DAY 1 
Sunday, Mar 26 
DAY 4 for Lesson 43  Application of Rates of Change 
Link to Lesson 43 Notes  DAY 4 as a pdf and Lesson 43 Notes  DAY 4 as a powerpoint 
Wednesday, Mar 22 
DAY 3 for Lesson 43  Application of Rates of Change 
Link to Lesson 43 Notes  DAY 3 as a pdf and Lesson 43 Notes  DAY 3 as a powerpoint 
Monday, Mar 20 
DAY 2 for Lesson 43  Application of Rates of Change 
Link to Lesson 43 Notes  DAY 2 as a pdf and Lesson 43 Notes  DAY 2 as a powerpoint 
Monday, Mar 13 
DAY 1 for Lesson 43  Application of Rates of Change 
Link to Lesson 43 Notes  DAY 1 as a pdf and Lesson 43 Notes  DAY 1 as a powerpoint 
Sunday, Mar 5 
Lesson 42  Implicit Differentiation 
Link to Lesson 42 Notes as a pdf and Lesson 42 Notes as a powerpoint 
Wednesday, Mar 1 
Lesson 41  Further Derivatives  Trig Inverse Functions 
Link to Lesson 41 Notes as a pdf and Lesson 41 Notes as a powerpoint 
Thursday, Feb 23 
Lesson 40  Further Differentiation Methods 
Link to Lesson 40 PROBLEM SET 
Sunday, Feb 18 
Lesson 39  Derivatives of Transcendental Functions 
Link to Lesson 39 as a powerpoint and link to Lesson 39 as a pdf Link to Lesson 39 as a PROBLEM SET 
Monday, Feb 13 
Lesson 38  Graphical Differentiation 
Link to Lesson 38 as a powerpoint and link to Lesson 38 as a pdf 
Thursday, Feb 9 
Lesson 37  Analyzing Polynomial Functions using Second Derivatives 
Link to Lesson 37 as a powerpoint and link to Lesson 37 as a pdf 
Tuesday, Feb 7 
Lesson 36  Using the Power Rule: Working with Functions 

Wednesday, Feb 1 & Sunday, Feb 5 
Lesson 35  Using Derivatives: Working with Polynomial Functions 

Monday, Jan 30 
Lesson 34  Instantaneous Rates of Change & Derivatives 

Thursday, Jan 26 
Lesson 33  Limits & Continuity 
Link to Lesson 33 as pdf and here is the link to the same lesson as PPT. 
Monday, Jan 23 
Lesson 32  Introduction to Limits  DAY 2 
Link to DAY 2 of Lesson 32 as pdf and here is the link to the same lesson as PPT. 
Thursday, Jan 19 
Lesson 32  Introduction to Limits Link to WS on Two Sided Limits 
Link to Lesson 32 as pdf and here is the link to the same lesson as PPT. 
Tuesday, Jan 17 
Lesson 31  Average and Instantaneous Rates of Change 
Link to Lesson 31 as pdf and here is the link to the same lesson as PPT. 
Sunday, Jan 15 
Lesson 31  Rates of Change 
Link to Problem Set for Lesson 31 
Wednesday, Jan 11 
Lesson 30  Circles, Arcs & Sectors 
Link to Problem Set for Lesson 30 
Monday, Jan 9 
Lesson 29  Triangle Trig 
Link to Problem Set for Lesson 29 
Tuesday, Dec 6 
Lesson 28  Quadratic Trig Equations 
Link to Lesson 28 as pdf and here is the link to the same lesson as PPT. 
Sunday, Dec 4 
Lesson 27  Linear Trig Equations 
Link to Lesson 27 as pdf and here is the link to the same lesson as PPT. 
Monday, Nov 28 
Lesson 26  Double Angle/Half Angle Identities 
Link to Lesson 26 as pdf and here is the link to the same lesson as PPT. 
Wednesday, Nov 23 
Lesson 25  Addition/Subtraction Identities 
Link to Lesson 25 as pdf and here is the link to the same lesson as PPT. 
Monday, Nov 21 
Lesson 24  Basic Identities 
Link to Lesson 24 as pdf and here is the link to the same lesson as PPT. 
Thursday, Nov 17 
Lesson 23  Secondary Trigonometric Functions & Inverse Trig Functions 
Link to Lesson 23 as pdf and here is the link to the same lesson as PPT. 
Tuesday, Nov 15 
Lesson 22  Graphs of Trigonometric Functions 
Link to Lesson 22 as pdf and here is the link to the same lesson as PPT. 
Sunday, Nov 13 
Lesson 21  Review of Right Triangle Trigonometry 
Link to Lesson 21 as pdf and here is the link to the same lesson as PPT. 
Wednesday, Nov 9 
Lesson 20  Laws of Logarithms 
Link to Lesson 20 as pdf and here is the link to the same lesson as PPT. 
Monday, Nov 7 
Lesson 19  The Logarithmic Function  An Inverse Perspective 
Link to Lesson 19 as pdf and here is the link to the same lesson as PPT. 
Tuesday, Nov 1 
Lesson 18  Solving Exponential Equations Using Logarithms 
Link to Lesson 18 as pdf and here is the link to the same lesson as PPT. 
Tuesday, Oct 25 
Lesson 17  Solving Exponential Equations 
Link to Lesson 17 as pdf and here is the link to the same lesson as PPT. 
Sunday, Oct 23 
Lesson 16  Algebra with Exponents  Review of Exponent Laws 

Wednesday, Oct 19 
Lesson 15  Graphs of Rational Functions 
Link to Lesson 15 as pdf and here is the link to the same lesson as PPT. 
Monday, Oct 17 
Lesson 14  Working with Polynomials: Inequalities, FTA, Multiplicity & Roots of Unity 
Link to Lesson 14 as pdf and here is the link to the same lesson as PPT. 
Sunday, Oct 2 
Lesson 13  Working with Polynomial Equations 
Link to Lesson 13 as pdf and here is the link to the same lesson as PPT. 
Wednesday, Sept 28 
Lesson 12  Polynomial Functions  Working with Complex Numbers 
Link to Lesson 12 as pdf and here is the link to the same lesson as PPT 
Monday, Sept 26 
Lesson 11  Polynomial Functions  Working with Quadratic Fcns 
Link to Lesson 11 as pdf and here is the link to the same lesson as PPT 
Thursday, Sept 22 
Lesson 10  Inverses & Inverse Functions 
Link to Lesson 10 as pdf and here is the link to the same lesson as PPT 
Tuesday, Sept 20 
Lesson 9  Composition of Functions 
Link to Lesson 9 as pdf and here is the link to the same lesson as PPT 
Sunday, Sept 18 
Lesson 8  Review of Sequences, Series and Sigma Notation 
Link to Lesson 8 as pdf and here is the link to the same lesson as PPT 
Monday, Sept 5 
Lesson 7  Combinations of Functions 
Link to Lesson 7 as pdf and here is the link to the same lesson as PPT 
Thursday, Sept 1 
Lesson 6  Functions & Transformations  New Concepts & Connections 
Link to Lesson 6 as pdf and here is the link to the same lesson as PPT 
Tuesday, August 30 
Lesson 5  Functions & Transformations 
Link to Lesson 5 as pdf and here is the link to the same lesson as PPT 
Sunday, August 28 
Lesson 4  Analyzing Parent Function  Algebraic Perspective 
Link to Lesson 4 as pdf and here is the link to the same lesson as PPT 
Wednesday, August 24 
Lesson 3  Analyzing Parent Function 
Link to Lesson 3 as pdf and here is the link to the Function Analysis Template that you may need to answer the questions. 
Monday, August 22 
Lesson 2  Review of Function Concepts 
Link to Lesson 2 as pdf and here is the link to the EVERYTHING Graph that you will need to answer the questions. 
Thursday, August 18 
Lesson 1  Working with Absolute Value 