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 |
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Wednesday, Feb 1 & Sunday, Feb 5 |
Lesson 35 - Using Derivatives: Working with Polynomial Functions |
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Monday, Jan 30 |
Lesson 34 - Instantaneous Rates of Change & Derivatives |
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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 |
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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 |