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


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


Link to Lesson 30

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

Link to Lesson 15 as a PDF.


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

Link to Lesson 11 as a PDF

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

Link to Lesson 2


Monday, August 18

Lesson 1 - Introduction to Sequences

Link to Lesson 1 as pdf and here as a Powerpoint