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 e-version (or extension) of your notebook

 Tuesday, April 10 Lesson 94 - The Normal Distribution Link to Lesson 94 Notes as a pdf and here is Lesson 94 Notes as a ppt Thursday, Mar 22 Lesson 93 - Continuous Random Variables Link to Lesson 93 Notes as a pdf and here is Lesson 93 Notes as a ppt Sunday, Mar 18 Lesson 92 - Poisson Distributions Link to Lesson 92 Notes as a pdf and here is Lesson 92 Notes as a ppt Sunday, Mar 11 Lesson 91 - Binomial Probability Distributions Link to Lesson 91 Notes as a pdf and here is Lesson 91 Notes as a ppt Wednesday, Mar 6 Lesson 90 - Expected Value and Variances of Discrete Random Variable Distributions Link to Lesson 90 Notes as a pdf and here is Lesson 90 Notes as a ppt Wednesday, Mar 6 Lesson 89 - Discrete Random Variables Link to Lesson 89 Notes as a pdf and here is Lesson 89 Notes as a ppt Sunday, Mar 4 Lesson 88 - Probability with Combinatorics Link to Lesson 88 Notes as a pdf and here is Lesson 88 Notes as a ppt Thursday, Feb 28 Lesson 87 - Bayes Theorem Link to Lesson 87 Notes as a pdf and here is Lesson 87 Notes as a ppt 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 Link to Lesson 36 Wednesday, Feb 1 & Sunday, Feb 5 Lesson 35 - Using Derivatives: Working with Polynomial Functions Link to Lesson 35 Monday, Jan 30 Lesson 34 - Instantaneous Rates of Change & Derivatives Link to Lesson 34 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 Link to Lesson 16 as pdf 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 Link to Lesson 1 as pdf