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 up-to-date. 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 |
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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 |
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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 |
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Monday, August 18 |
Lesson 1 - Introduction to Sequences |
Link to Lesson 1 as pdf and here as a Powerpoint |