Martin Flashman's Courses - Math 115 Summer, '06
Tentative Course Information- Subject to Change
Algebra and Elementary Functions
MTWR 11:00-12:20     SH 109
Quiz #8! in class Wednesday 7-26
Office Hours: MTWR 9:30-10:30
[available after class for appointments.]

OFFICE: Library 1    E-MAIL: flashman@humboldt.edu        PHONE:826-4950
WWW: http://flashman.neocities.org/
Hours (Tent.):  MTWR 9:30-10:30      AND BY APPOINTMENT or by CHANCE! [available after class for appointments.]
  • PREREQUISITE: Math code 40 (or better) or permission.
  • Catalog Description: Functions and their graphs; in-depth treatment of exponential and logarithmic functions. Trigonometry: trigonometric functions, identities, solving triangles. Polynomial functions. Prerequisite: HSU MATH 42 or 44 or 45 or math code 40.
  • TEXT: Edward Burger,Precalculus w/ Workbook (CD-ROM Set +Print Companion),Thinkwell,1-931381-94-1
    Register for Thinkwell on-line here.
    • On-Line Materials: Sensible PreCalculus (Text Notes plus) by M. Flashman
  • SCOPE: We will cover topics primarily related to theory and application of Functions: Polynomial, Rational, Exponential, Logarithmic, and Trigonometric. Supplementary materials will be provided as appropriate.
  • TESTS and ASSIGNMENTS:  Homework assignments are made regularly. We may use Blackboard or the Thinkwell website  to grade homework.
    • Homework results should be recorded by 9:00 pm of the due date to receive credit.
  • I will discuss this further at the first class meeting. Assignments will be discussed in class on a daily basis.
  • The reality check quizzes, some done outside class online ( Blackboard or Thinkwell) and some in-class tests, will have problems similar to assignments and class examples. There will be at least three in-class tests (15-30 minutes). 
    • The final examination for the course will be comprehensive.
    It will be given in two parts on the last two classes of the term.
    MAKE-UP TESTS WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES!
    It is the student's responsibility to request a makeup promptly,
    especially for  especially for unauthorized absence.
    *** DAILY ATTENDANCE SHOULD BE A HABIT*** 
  • GRADES: Final grades will be determined taking into consideration the quality of work done in the course as evidenced primarily from the accumulation of points from tests and various  assignments.

    • Reality Quizzes 1-7 Best 6 scores 600 points
    Reality Quiz 8 100 points
    Homework 200 points
    Final Examination 400 or 600 points
    Total 1300 or 1500  points
  • The final examination will be be worth either 400 or 600 points determined by the following rule:

    • The final grade will use the score that maximizes the average for the term based on all possible points.
    A grade of less than 50% on the final examination may result in a final grade of  F without offsetting high quality work on the other parts of the course.
  • Notice that only 400 or 600 of these points are from formal in-class examinations, so regular participation is essential to forming a good foundation for your grades as well as your learning.
  • MORE THAN 4 ABSENCES MAY LOWER THE FINAL GRADE FOR POOR ATTENDANCE.

    • ** Students wishing to be graded with either CR or NC should check  the summer session course list for a full list of relevant days.
  • Technology: A computer or a graphing calculator can be used for many problems. We will use Winplot and Microsoft Xcel.
  • Graphing Calculators: Graphing calculators are welcome and highly recommended.
  • Use of  Office Hours: Many students find  pre-calculus difficult because of weakness in their algebra background skills and concepts.  A grade of C in Math 44 might indicate this kind of weakness.

    • Difficulties that might have been ignored or passed over in previous courses can be a major reason for why things don't make sense now. You may use my office hours for some additional work on these background areas either as individuals or in small groups. My office time is  also available to discuss reality check quizzes, routine problems from homework after they have been discussed in class,   as well as using  technology.

    Regular use of my time outside of class should be especially useful for students having difficulty with the work and wishing to improve through a steady approach to mastering skills and concepts.
  • Don't be shy about asking for an appointment outside of the scheduled office hours


    • Math 115 Tentative Schedule [Subject to change and correction-7-3-06] 
    Week\Day 
    Monday
    		Tuesday
    Wednesday
    Thursday
    I. Introduction: Backgrounds and Key concepts 5-29
    		 5-30
    Introduction 
    Sensible Precalc Ch 1.A
    What are Numbers? 
    Comparing Numbers:=,< 
    Number Operations, equations.  [Cont'd on Wed.!]     		5-31 Using Thinkwell
    		 6-1 Sqr(2) is not a rational #. 

    Visualizing variables and plane coordinate geometry.
    II. Beginning Functions-Core functions and concepts. 
    Begin Right Triangle Trig    		 6-5 Visualizing: numbers- intervals. 1.2.1,1.2.1
    The Pythagorean theorem. 
    [Over 30 proofs !]
    [Many Java Applets proofs ]
    Plane Coordinates.
    More Geometry review: Midpoints.
    Solving linear inequalities 2.11.1 [8:34] 
    		 6-6 Applications of linear inequalities 2.11.4
    Algebra review.
    Review Polynomials.  (Factoring)
    Similar triangles.
    		 6-7 Simplifying and Rationalizing
    More on graphs.
    Lines.
    Slopes and equations of lines.

    		6-8 Circles
    What's a function? More on functions.
    Linear functions.

      Practice Quiz #1
    III. Triangle Trig
    6-12 Graphs and mapping figures.
    Other function qualities.
    Review of Key Triangles.
    Overview of Core: trigonometric for Right Triangles
     
     
    		6-13 Solving Right triangles.
    Radian measure
    Overview of Core: algebraic
    Secant lines and Linear Interpolation     		6-14 Triangle trig: Inverse trig acute
    Law of Sines.
    sine for obtuse angles. 
    Abs. value inequalities
    Primary Descriptive features of functions. (Increasing/decreasing/max/min)     		6-15
    More law of sines 
    More Inverse trig (sine obtuse).
    Properties of roots and exponents.
    IV.More Trig plus Exponential functions  6-19

    Trig for obtuse angles.
    Trig functions for all angles (sine and cosine)(tan)
    Exponential Functions.     		6-20
    Radian measure and circles in general. Trig functions for all angles - with radian
    measure.
    Start Law of cosines.
    A visual proof for "The Law of Cosines"
    Solving simple exponential equations

    		 6-21A visual proof for "The Law of Cosines" and More. Dynamic proof :The Law of Cosines
    Compound interest?
    Applications of Exponential functions
    More exponential functions and graphs.
    		 6-22 More on Exponential Applications- compound interest and growth.
    More on law of cosines.
    Applications of triangle trig
    . Logarithmic functions

    		 6-26 What is e?
    Composed Mapping figures.
    Piecewise functions 
    Logarithms: Introduction and definition. 


    		6-27

    Graphs of exponential, logarithmic
    Basic properties of logs...  and applications and exponents-solving equations.    		 6-28 QUIZ #4 in class
    on  6-19 to 6-26 assignments.
     More on properties of logs and exponents-



    6-29 Graphs of logs, exps, sin and cos
    Lab: Graphing Functions with Winplot.?
    Lab: Graphing and Trig Applets.?
    tfigs.wp2
    tfigslink.wp2
     
    The big picture on functions: Core functions and elementary functions
    Symmetry [wrt axes.]
    Inverse tangent function.
    I.Trig function graphs [LAB? ] 7-3
    More on graphs of trig functions.
    Graphs of tan and sec.
    		 NO Class July 4 Holiday 7-5 Models using Exponential Functions
    Logarithmic calculations in equations and computations. 
    More on graphs of trig functions.

    graph SinAX
     graph A sin(BX+C)
    		 7-12 Graphs of tan and sec.
    More on graphs and basic properties of trig functions. 
    More applications of logs
    Logarithmic scales.Slide rules ?
    		 
    VII.Trig Equations 
    Trig Identities
    ***LAB ***?]    		 7-10
    Begin Trig Identities 
    Begin trig equations and review of 
     inverse trig functions 
    Log scales and graphs.
    More exponential models Slide rules
    On-line java sliderule
    		 7-11
    Trig Identities

    		7-12
    Translation, symmetry and scales for quadratics .
    		7-13 Trig equations and review of 
     inverse trig functions (Asin and Acos)
    More on graphs of trig functions, identities and equations.
    VIII. 7-17
    Graphs for inverse trig. 
    Addition formulae    		 7-18
    More on Trig Identities: double angles! Double and half angles     		7-19 Product to sum trig.Other Trig identities.
    More on quadratics and 1/x.
    Begin Rational functions
    		7-20 Long division and factors of polys.
     Complex numbers and trig    		 .
    IX.Polynomial and Rational Functions 7-24
    Roots and more on Polynomials.
    More Trig functions and equations:
    graphs and elementary functions
    Complex arithmetic and trig!
    		 7-25Graphs of polynomials and rational functions. More on Complex Numbers, trig and roots.
    		 7-26Quiz #8! in class
     Quiz # 8 will cover material from the following sections covered in assignments for 7/12 & 7/18 to 7/24:
     3.14, 4.1, 4.4, 4.8, 4.9, 6.7.4, 7.5, 7.6
    Brief  look at The Logistic
    		7-27 Difference quotients.?
    MORE Polynomials- rational, real and complex roots!   Intermediate value theorem. 
    Inequalities.
    Bisection and Secant methods for estimating roots.
    Rational functions.Asymptotes.
    Putting functions together?     		 
    X. Pre-Calculus! 7-31
    More on rational functions. 
    Combining trig Functions- lines review.
    Composition & Inverse functions    		 8-1
    Final comments on functions- algebraic and trignometric.
    "Tangents to graphs for logs and exponential functions. "?? A precalculus view. 
    		 8-2
    Final Exam Part I
    (40 minutes on Log and exponential functions.)
    		8-3
    Final Exam Part II (80 minutes with very little from Part I)

    TentativeAssignments and Recommended Problems Tentative [Subject to change and correction] 
    Last updated: 7-3-06
    Due Date
    SECTION
    Reading in Workbook
    or in SC on line.
    		 CD Viewing
    		 Assignments
    *Thinkwell Exercises on-line
    		 Special Instructions & Interesting but Optional 
    5-31

    		 Preface
    Ch 2: pp 87-90
    Sensible Precalc Ch 1.A
    Sensible Precalc Ch 1.B.1 (Firefox Preferred)     		2.1.1Intro to Solving Equations.[9min]
    2.1.2Solving a Linear Equaton. [8 min]
    		 p88: pr-pr and rev q's.
    p90: pr-pr and rev q's.
    		 These problems will not be collected.
    2.11Solving Inequalities:
    2,11.1 Intro to Solving Inequalities [8.5 min]

    6-1
    		 ch 1 pp 23-26
    ch 2: pp 149 - 150
    Ch 1.B.1(Firefox Preferred)
    		 3.1 Graphing Basics:
    3.1.1 Using the Cartesian System [7:31 min]
    3.1.2 Thinking Visually [2.55 min]
    3.2.1 Finding the Distance between two Points  [10:57]        		p25:pr-pr and rev q's.
    p150: pr-pr and rev q's.
    These problems will not be collected.     		Ch 1.B.1:  1c, 2, 16
    CD: Finding the Center-Radius Form of the Equation of a Circle[8:49]
    6-5 Ch 1 pp 43-44; 46-47; 49-50; 54-59.
    Similar triangles.    		 1.6.3 Rationalizing Denominators
    1.9 Factoring Patterns              
    1.9.1   Factoring Perfect Square Trinomials  
    1.9.2   Factoring the Difference of Two Squares           

    		More on Similar triangles.
    Dynamic Geometry® Exploration SimilarTriangles
    6-6
    		 Ch 2 pp151-154
    Ch 3 pp 175-179; 182-186.
    pp 193-197    		 2.11.3 More on Compound Inequalities [9]
    3.4 Circles
    3.4.1 Finding the Center-Radius Form of the Equation of a Circle [8.49]
    3.5 Graphing Equations   
    3.5.1 Graphing Equations by Locating Points [14]
    3.5.2 Finding the x- and y-Intercepts of an Equation [13]
    		 *1.2.1 and *1.2.2
    *1.6.3
    *2.1.1 and 2.1..2
    *2.11.1 and 2.11.3
    *3.4.1
    *3.5.2
    		 This is the first on-line assignment- complete these by 6-11.
    6-7
    		 Ch 3 pp 222-238
    		 3.9.1 An Introduction to Slope
    3.9.2 Finding the Slope of a Line Given Two Points
    3.10 Equations of a Line
    3.10.1 Writing an Equation in Slope-Intercept Form [8]
    3.10.2 Writing an Equation Given Two Points [6]
    3.10.3 Writing an Equation in Point-Slope Form [5]
    3.10.4 Matching a Slope-Intercept Equation with Its Graph[8]
    3.10.5 Slope for Parallel and Perpendicular Lines[9]
    		 *1.9.1
    *1.9.2
    *3.9.2
    *3.10.1
    *3.10.3
    *3.10.5
    		 This is the second on-line assignment (more review) - complete these by 6-11.
    6-8 !
    		 Sensible Precalc Ch 1.B.2 Read!(Firefox preferred) Function Basics
    3.6.1 Functions and the Vertical Line Test [7]
    3.6.2 Identifying Functions [9]
    3.6.3 Function Notation and Finding Function Values [9]
    		 *3.6.3

    		 Try to do this SOON! This is a key to the work for the remainder of the term.
    6-12
       
      

    		Ch 3 pp198-213
    Sensible Precalc Ch 1.B.2 Read!(Firefox preferred)
    		 Working with Functions        
    3.7.1  Determining Intervals Over Which a Function Is Increasing      
    3.7.2  Evaluating Piecewise-Defined Functions for Given Values      
    3.7.3  Solving Word Problems Involving Functions    		  *3.7.2
    *3.7.3    		 Try the Practice Quiz-
    Quiz #1 will be available on Monday!
    6-13/14
    		 Ch 6. pp 429-436; 439-445
    		 6.2   Right Angle Trigonometry       
        6.2.1  An Introduction to the Trigonometric Functions     
        6.2.2  Evaluating Trigonometric Functions for an Angle in a Right Triangle     
        6.2.4  Using Trigonometric Functions to Find Unknown Sides of Right Triangles     
        6.2.5  Finding the Height of a Building    		 *6.2.1
    *6.2.2
    *6.2.4
    		 Submit Quiz #1 by Tuesday 8 pm.
    On-line Mapping Figure Activities
    6-14/15 Ch 6 pp425-426; 436-439
    Ch 3. pp 291-292

    		 6.1.4 Converting between Degrees and Radians (Disc 3, 10:04)
    6.2.3 Finding an Angle Given the Value of a Trigonometric Function (Disc 3, 5:20)
     3.18.5 Finding the Difference Quotient of a Function (Disc 2, 4:21)
    		 *6.1.4
    *6.2.3
    *3.18.5
    		      
     
    6-15/19
    		 Ch 8. pp 547-548
    Law of Sines.
    Ch 1. pp26-29
    Ch 2.pp164-167;169-170
    		 8.1.1 The Law of Sines (Disc 4, 9:04)
     2.14.1 Matching Number Lines with Absolute Values (Disc 2, 11:25)
    2.14.2 Solving Absolute Value Equations (Disc 2, 7:21)
    2.14.4 Solving Absolute Value Inequalities (Disc 2, 9:12)
    		 *8.1.1
    *2.14.2  Solving Absolute Value Equations     
    *2.14.4  Solving Absolute Value Inequalities
    		 Try Practice Quiz #2 .
    For background on absolute value watch 1.3.1 Properties of Absolute Value (Disc 1, 6:41)
    and  1.3.2 Evaluating Absolute Value Expressions (Disc 1, 12:10)
    6-19 Ch 8. pp 549-557
    Ch 1. pp30-35;37-42
    		 8.1.2 Solving a Triangle Given Two Sides and One Angle (Disc 4, 6:37)
    8.1.3 Solving a Triangle (SAS): Another Example (Disc 4, 12:18)
    8.1.4 The Law of Sines: An Application (Disc 4, 6:12)

    		 *8.1.2
    		 1.4.1 An Introduction to Exponents (Disc 1, 1:36)
    1.4.2 Evaluating Exponential Expressions (Disc 1, 4:36)
    1.4.3 Applying the Rules of Exponents (Disc 1, 10:11)
    6-20
    		 ch 6. 446-449
    ch5: pp361-366
    		 6.3.1 Evaluating Trigonometric Functions for an Angle in the Coordinate Plane (Disc 3, 15:00)
    6.3.2 Evaluating Trigonometric Functions Using the Reference Angle (Disc 3, 11:19)
    5.3.1 An Introduction to Exponential Functions (Disc 3, 8:06)
     5.3.2 Graphing Exponential Functions: Useful Patterns (Disc 3, 8:55)
    		 *6.3.1
    *5.3.1
    		 5.3.3 Graphing Exponential Functions: More Examples (Disc 3, 7:18)
    6-21
    		 Ch 5  pp367-368
    Ch 6. pp426-429;
    Ch 8  pp558- 559
    A visual proof for "The Law of Cosines"
    		 5.4.1 Using Properties of Exponents to Solve Exponential Equations (Disc 3, 6:55)
    6.1.5 Using the Arc Length Formula (Disc 3, 7:23)
    8.2.1 The Law of Cosines (Disc 4, 5:38)    

    		*5.4.1
    *6.1.5
    		 Demonstrations of the laws of sines and cosines
    6-22
    		 Ch 8  pp560- 565
    Ch 5 pp368-370

    		 8.2.2 The Law of Cosines (SSS) (Disc 4, 7:05)
    8.2.3 The Law of Cosines (SAS): An Application (Disc 4, 5:44)
    5.4.2 Finding Present Value and Future Value (Disc 3, 8:39)
    		 *8.2.1
    *8.2.3
    		 Try Practice Quiz #3
    6-26/27
    		 Ch 5 pp 368-374
    		 5.4.2 Finding Present Value and Future Value (Disc 3, 8:39)
    5.4.3 Finding an Interest Rate to Match Given Goals (Disc 3, 4:11)
     5.5.1 e (Disc 3, 7:01)
     5.5.2 Applying Exponential Functions (Disc 3, 4:31)
    		 *8.2.2
    *5.4.2
    *5.5.2
    		 8.3 Vector Basics
            8.3.1 An Introduction to Vectors (Disc 4, 7:55)
            8.3.2 Finding the Magnitude and Direction of a Vector (Disc 4, 6:43)
            8.3.3 Vector Addition and Scalar Multiplication (Disc 4, 9:26)
    6-27
    		 Ch 3 pp 209-211
    Ch 5 pp 374-377

    		 5.6.1 An Introduction to Logarithmic Functions (Disc 3, 7:19)
    5.6.2 Converting between Exponential and Logarithmic Functions (Disc 3, 5:55)
    		 *5.6.1
    		 Try Sample Quiz #4
    6-28/29
    		 Ch 5 pp 377-383;386-395
    		  5.7.1 Finding the Value of a Logarithmic Function (Disc 3, 6:48)
    5.7.2 Solving for x in Logarithmic Equations (Disc 3, 7:44)
    5.7.3 Graphing Logarithmic Functions (Disc 3, 10:05)
    5.8.1 Properties of Logarithms (Disc 3, 8:51)
    5.8.2 Expanding a Logarithmic Expression Using Properties (Disc 3, 10:40)
    5.8.3 Combining Logarithmic Expressions (Disc 3, 9:16) 5.9.1 Evaluating Logarithmic Functions Using a Calculator (Disc 3, 5:13)
    5.9.2 Using the Change of Base Formula (Disc 3, 9:27)
    		 *5.7.1
    *5.8.1
    *5.9.1
    *5.9.2
    6-29 Ch. 6 pp453-456
    		 6.4.1 An Introduction to the Graphs of Sine and Cosine Functions

    7-3
    		 Ch 5 pp381-3 again
    Ch 6 pp 451-460
    		 5.7.3 Graphing Logarithmic Functions (Disc 3, 10:05) again!
    6.3.4 Trigonometric Functions of Important Angles (Disc 3, 9:37)
    6.4.1 An Introduction to the Graphs of Sine and Cosine Functions (Disc 3, 10:32)
    6.4.2 Graphing Sine or Cosine Functions with Different Coefficients (Disc 3, 12:20)
    6.4.3 Finding Maximum and Minimum Values and Zeros of Sine and Cosine (Disc 3, 6:49)     		*5.7.3
    *6.3.4
    *6.4.1
    *6.4.2
    7-5/6
    		 Ch 6 pp 462-469
    		 6.5.1 Graphing Sine and Cosine Functions with Phase Shifts (Disc 4, 7:20)
    6.5.2 Fancy Graphing: Changes in Period, Amplitude, Vertical Shift, and Phase Shift (Disc 4, 8:29)
    6.6.1 Graphing the Tangent, Secant, Cosecant, and Cotangent Functions (Disc 4, 13:19)
    		 *6.5.1
    7-6
    		 Ch 5: pp 398-400; 407-407
    Ch 6 pp464-469 AGAIN!
    		 5.11.1 Solving Exponential Equations
    5.13.1 An Introduction to Exponential Growth and Decay
    		 *5.11.1
    *5.13.1
    *6.6.1
    		 graph SinAX
     graph A sin(BX+C)
    7-10
    		 Ch. 5: pp 409-411; 414-415
    		 5.13.2 Half-Life (Disc 3, 11:07)
    5.13.4 Continuously Compounded Interest (Disc 3, 5:05)
    		 *5.13.2
    *5.13.4
    7-11/12 Ch 6 pp477-480
    Ch 7 pp 495-500
    		 6.7.1. An Introduction to Inverse Trigonometric Functions
    6.7.2. Evaluating Inverse Trigonometric Functions
    7.1.1. Fundamental Trigonometric Identities
    7.1.2. Finding All Function Values
    		*6.7.2
    *7.1.1
    *7.1.2
    		 How and Why a Slide Rule Works
    On-line java sliderule
    7-12/13
    		 Ch 7 pp 499-506
    Ch 3 pp 256-258
    		 3.14.1. Deconstructing the Graph of a Quadratic Function
    3.14.2. Nice-Looking Parabolas
    7.2.1. Simplifying a Trigonometric Expression Using Trigonometric Identities
    7.2.2. Simplifying Trigonometric Expressions Involving Fractions
    		 *3.14.1
    *7.2.1
    7-13/17
    		 Ch 7 pp506-516
    		 7.2.5 Determining Whether a Trigonometric Function Is Odd, Even, or Neither (Disc 4, 10:26)
    7.3.1 Proving an Identity (Disc 4, 10:08)
    7.3.2 Proving an Identity: Other Examples (Disc 4, 6:16)
    7.4.1 Solving Trigonometric Equations (Disc 4, 9:08)
    		 *7.3.1
    *7.4.1
    7-17
    		Ch 6 pp477-481
    Ch 7  pp516-521
    		 Review:
    6.7.1. An Introduction to Inverse Trigonometric Functions
    6.7.2. Evaluating Inverse Trigonometric Functions
    7.4.2 Solving Trigonometric Equations by Factoring (Disc 4, 6:03)
    7.4.3 Solving Trigonometric Equations with Coefficients in the Argument (Disc 4, 10:35)
    7.4.4 Solving Trigonometric Equations Using the Quadratic Formula (Disc 4, 14:55)
    		 *7.4.3
    7-18/19
    		 Ch 6 p481-485
    Ch7 pp525-528

    		 6.7.3 Solving an Equation Involving an Inverse Trigonometric Function (Disc 4, 4:49)
    6.7.4 Evaluating the Composition of a Trigonometric Function and Its Inverse (Disc 4, 9:09)
    7.5.1 Identities for Sums and Differences of Angles (Disc 4, 9:00)
    7.5.2 Using Sum and Difference Identities (Disc 4, 3:12)
    		 *7.5.1

    		 sin(A+B) proof illustrated.
    7-19 Ch 7 pp 530-533; 540-544
    		 7.6.1 Confirming a Double-Angle Identity (Disc 4, 6:19)
    7.6.2 Using Double-Angle Identities (Disc 4, 6:46)
    7.7.2 Using a Power-Reducing Identity (Disc 4, 8:49)
    7.7.3 Using Half-Angle Identities to Solve a Trigonometric Equation (Disc 4, 7:13)
    		 *7.6.2
    7-20
    		 Ch 4 pp 333-339 4.8.1 Understanding Rational Functions (Disc 3, 4:13)
    4.8.2 Basic Rational Functions (Disc 3, 9:22)
    4.9 Graphing Rational Functions
    4.9.1 Vertical Asymptotes (Disc 3, 7:51)
    4.9.2 Horizontal Asymptotes (Disc 3, 9:20)    		 *4.8.1
    7-24 Ch 4 pp295-299; 304-307
    Ch 8 pp584-588
    		 4.1.1 Using Long Division with Polynomials (Disc 2, 9:33)
    4.1.2 Long Division: Another Example (Disc 2, 6:39)
    4.3.1 The Remainder Theorem (Disc 3, 8:52)
    4.3.2 More on the Remainder Theorem (Disc 3, 6:09)
    4.4.1 The Factor Theorem and Its Uses (Disc 3, 8:07)
    8.5.1 Graphing a Complex Number and Finding Its Absolute Value (Disc 4, 6:05)
    8.5.2 Expressing a Complex Number in Trigonometric or Polar Form (Disc 4, 6:55)
    		 *4.1.1
    *4.3.1
    7/25
    		 Ch 2 pp 112-3; 117-121
    Ch 4 pp 308-319
    		 2.4.1 Solving Quadratics by Factoring (Disc 1, 11:51)
     2.5.1 Proving the Quadratic Formula (Disc 1, 7:14)
    2.5.2 Using the Quadratic Formula (Disc 1, 9:23)
     2.5.3 Predicting the Type of Solutions Using the Discriminant (Disc 1, 8:42)
     4.4.2 Factoring a Polynomial Given a Zero (Disc 3, 11:08)
     4.5.1 Presenting the Rational Zero Theorem (Disc 3, 7:14)
     4.5.2 Considering Possible Solutions (Disc 3, 7:44)
     4.6.1 Finding Polynomials Given Zeros, Degree, and One Point (Disc 3, 11:19)
     4.6.2 Finding all Zeros and Multiplicities of a Polynomial (Disc 3, 8:09)
    4.6.3 Finding the Real Zeros for a Polynomial (Disc 3, 8:16)
    		 *2.4.1
    *2.5.2
    *4.5.1
    *4.6.1
    		 8.5.3 Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form (Disc 4, 11:08)
    7/26
    		 Quiz 8! Quiz # 8 will cover material from the following sections covered in assignments for 7/12 & 7/18 to 7/24:
    3.14, 4.1, 4.4, 4.8, 4.9, 6.7.4, 7.5, 7.6

    7/31 &8/1
    		 Ch 2 pp 155-162; 169-172
    Ch 3 pp 285-292    		 2.12.1 Solving Quadratic Inequalities (Disc 2, 9:54)
    2.13.1 Solving Rational Inequalities (Disc 2, 8:42)
    2.14.4 Solving Absolute Value Inequalities (Disc 2, 9:12)
    3.18.1 Using Operations on Functions (Disc 2, 5:43)
    3.18.2 Composite Functions (Disc 2, 9:37)
    3.18.3 Components of Composite Functions (Disc 2, 8:12)
    3.18.4 Finding Functions That Form a Given Composite (Disc 2, 6:27)
    3.18.5 Finding the Difference Quotient of a Function (Disc 2, 4:21)
    		 *2.12.1
    *3.18.1
    *3.18 .4
    *3.18.5 Again-Review!
    		 2.12.2 Solving Quadratic Inequalities: Another Example (Disc 2, 8:31)
    2.13.2 Solving Rational Inequalities: Another Example (Disc 2, 8:49)
    2.14.5 Solving Absolute Value Inequalities: More Examples (Disc 2, 6:15)


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    		3.11.2  Linear Cost and Revenue Functions [9]

    Absolute Values- Solving equations, Solving inequalities,

    Working w/functions- determining intervals...
    Function Domain and Range- Finding...

    Graphing Functions: graphing piecewise...

    Composite Functions: Operations...,composite...,Components of..

    Word problems
    Basic Trig Identities: Fundamental...
    Proving Trig Identities: Proving...

    Newton's Law of Cooling

    Solving trig Equations: Solving...
    Inverse Trig Functions:  An Intro...,
    Evaluating the composition...
    The Sum and Difference Identities: Identities...
    Double-Angle Identities: Confirming..., Using....
    Look at This PAGE on the web!   
    great web resource for trig with java (manipula math products)
        Quadratic Functions- Basics
        Quadratic functions- The vertex.
    Quadratic Equations and the Quadratic Formula
        Polynomials- Long Division
    The remainder Theorem
    The factor Theorem
    read more on-line about Complex Numbers

    Back to Martin Flashman's Home Page :)
    Back to HSU Math. Department :}