Martin Flashman's Courses - Math 115 Fall, '07
Tentative Course Information- Subject to Change (8-31-07)
Algebra and Elementary Functions
MWF     1500 1550     SCI B 133
"Section 6"  R     1100 1150     GH 215
"Section 7"  R     1200 1250     GH 215
"Section 18" R    0900 0950     BSS 313


OFFICE: BSS 356    E-MAIL: flashman@humboldt.edu        PHONE:826-4950
WWW: http://flashman.neocities.org/
Hours (Tent.):  MWF 10:30-12:00      AND BY APPOINTMENT or by CHANCE! [available after class for appointments.]
PREREQUISITE: Math code 40 (or better) or permission. IMPORTANT: You may not need this course to take calculus.  HSU Placement Information.
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 [Requires Purchase of text.].
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 will use 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 ( 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) given during the Section meetings.

Section Meetings and Labs:
On Thursdays the class will meet in separate sections for which you have registered. These sections meet in a computer lab where we will use the technology to investigate concepts we have been exploring in the larger class meetings. Lab assignments will be done in partnerships (at most three people to a partnership) and submitted no later that Tuesday of the next week. The format of the submission will be discussed further in the actual labs. Lab time will also be used for brief quizzes and presentations relevant to the lab assignments.
In general you  are expected to attend the lab section for which you are registered. There are only enough lab seats in each section to accommodate those registered for that section.
The final examination for the course will be comprehensive.
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
    Section/Lab assignments 100 points
    Homework 200 points
    Final Examination 400 or 600 points
    Total 1400 or 1600  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  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 or intermediate algebra 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-10-17-07] 
    Week\Day 
    Monday
    		Wednesday
    Thursday Labs
    Friday
    I. Introduction: Backgrounds and Key concepts 8-20
    Introduction : How to succeed in this course.

     [Cont'd on Wed.!]     		8-22 Sensible Precalc Ch 1.A
    What are Numbers? 
    Comparing Numbers:=,< 
    Number Operations, equations.     		8-23 Using Thinkwell. Introduction to Winplot. Points, Animation..
    Lab #1. August 23
    		8-24
    Guest Lecture: Visualizing: numbers- intervals. 1.2.1,1.2.1 
    Solving linear inequalities 2.11.1 [8:34] 
    Applications of linear inequalities 2.11.4
    II. More Backgrounds:
    Beginning Functions-Linear functions and key concepts. 
    		8-27 The Pythagorean theorem.
    Sqr(2) is not a rational #. 
    Simplifying and Rationalizing
    [Over 30 proofs !]
    [Many Java Applets proofs ]

    		 Visualizing variables and plane coordinate geometry.
    Plane Coordinates.
    More Geometry review:
    Algebra review.
    Review Polynomials.  (Factoring)
    Similar triangles.

    		 8-30    Tables.
    Introduction to Excel.
    Linear and quadratic "Functions" and Visualization of data.
    Lab #2. August 30
    		 8-31 Rational numbers and decimals.
    More on graphs.
    Circles

    On-line Practice Quiz #1?
    III.functions and lines and
    		9-3 NO CLASS- Labor Day Holiday.
         		Lines.
    Slopes and equations of lines.
    Midpoints with coordinates.
    Abs. value inequalities
    What's a function?         		9-6 Lab #3. September 6
    Winplot:
    Demonstation:Lines as equations and "functions".
    Exploring functions with Winplot:
    Using winplot to graph and find key function feature and solve equations graphically for zeros. Y and X intercepts.

    		 9-7 Practice Quiz
     More on functions.
    Linear functions.
    IV. Start Trigonometry

    		 9-10 What's a function?
    Graphs and mapping figures.
    Review of Key Triangles.


    		9-12 Other function qualities.
    Primary Descriptive features of functions. (Increasing/decreasing/max/min) Overview of Core: rational functions.

    		 9-13
    Lab #4. September 13
    Increasing and decreasing functions.
    Secant line slopes.
    [Religious Holiday Make-up Lab 0n Tuesday 9-18 @9:00 in BSS 313]
    		 9-14  Start


    V. Triangle Trig
    		 9-17 Trigonometric functions for Right Triangles
    Solving Right triangles.
    Triangle trig: Inverse trig for acute triangles.     		9-19 More on Solving triangles/ applications.
    Law of sines 
    Law of Sines.
    sine for obtuse angles.     		Lab #5. September 20
     Graph piecewise functions.
    Visualize triangle trig and unit circle.
    More Inverse trig (sine obtuse).


    VI.Finish Triangle Trig- Trig function graphs 9 - 24
     Radian measure and circles in general.
    More on Law of Sines.

    		 9- 26
    Start Law of cosines.
    A visual proof for "The Law of Cosines" 


    		Lab #6. September 27
    Begin Graphs of trig functions.
    Trig functions for all angles - with radian measure.(sine and cosine)(tan)     		More on law of cosines. Dynamic proof :The Law of Cosines
    Applications of triangle trig
    VII Trig Equations 
    Trig Identities    		 Oct. 1 Begin Trig Identities 
    Begin trig equations and review of  inverse trig functions(Asin and Acos)
    Reference
    More on graphs of trig functions, identities and equations.    		 Oct 3. Simple use of identities: relating trig function values.
    Review of  inverse trig functions (Asin and Acos)
    Reference
    Solving Simple Trig Equations
    		 Graphs for tangent and secant.  Graphically solving trig equations.
    Lab #7. October 4
    		 More trig equations and identitiy games.
    VIII. More trig identities.:) Oct. 8 More on Trig Identities:

    		Oct. 10. "Review" for Quiz #4?
    More trig equations and identitiy games.

    		 Oct. 11  Quiz #4 in Lab time.
    		Addition formulae
    double angles!
    IX More trig identities, equations, and graphs!
    		 Oct. 15 Double and half angles
    More Trig functions and equations:
    		Oct/ 17 graphs and elementary functions
    More on graphs and basic properties of trig functions.
    Phase shifts.

    On-line Practice Quiz #5 available.
    		 Phase Shift - trig and linear compositions.
    LAB #8 October 18-25
    graph SinAX
     graph A sin(BX+C)    		 Other Trig identities: Product to sum trig.
    Inverse trig functions.
    X  End of trig! Begin Exponential and logs
    		 Oct. 22 More on inverse trig functions(Asin and Acos):
     Triangles!

    		 Graphs for inverse trig. (esp'lly Inverse tangent function)


    		 Phase Shift - trig and linear compositions. Continued!
    LAB #8 October 18-25
    graph SinAX
     graph A sin(BX+C)    		 Trisection of angles, trig and algebra!
    Complex numbers?
    Complex arithmetic and trig
    Properties of roots and exponents.
    XI Exponential  functions

    		Oct. 29?? Exponential Functions.
    Compound interest? What is e?
    Applications of Exponential functions
    More on Complex Numbers, trig and roots??






    		 Solving simple exponential equations.exponential functions and graphs.
    Graphs of exponential functions.




    .    		 Exponential graphs
    LAB #9 Nov. 1



     

    More on Exponential Applications- compound interest and growth.
    XII.Finish exponents and Logarithmic functions.
    What are elementary functions?
    		 Nov. 5
    e! 
    Logarithms: Introduction and definition.


    		Basic properties of logs...  and applications and exponents-solving equations
    Models using Exponential Functions
    Continuously compounded interest: Pe^rt.
    		 LAB #10 Nov. 8
    Logs and Graphs of logs, exps with graphs of trig functions

         		More exponential models (Growth/Decay)
    Logarithmic calculations in equations and computations. "Transforming equations."

     
    XIII. Begin Polynomial and Rational Functions Nov. 12 Veteran's Day Observance.
    No Class    		 Nov. 14 Functions The big picture on functions: Core functions and elementary functions
    Symmetry [wrt axes.]
    Quadratics and 1/x.
    Begin Rational functions
    Overview of Core:algebraic

    		Lab #11 Nov. 15
    Graphs for powers and  roots
    Identities and roots for quadratics.

    		 Translation, symmetry and scales for quadratics 
    Composition with linear functions: graphs and Mapping figures.
    Nov. 19- 23 No classs Fall Break
    XIV More on rational functions.
    		 Nov. 26  Long division and factors of polys.
    The remainder Theorem.
    The Factor theorem
    Roots and more on Polynomials.    		 Inequalities. Linear. Quadratic. Polynomial.
    Rational functions.Asymptotes.
    Intermediate value theorem.

    		Absolute value functions and inequalities.
    		 Difference quotients-
    for Polyniomials, Sine, Cosine, exponential and logarithmic functions.
    XVPre-Calculus! Dec. 3 Quiz #8!
    In Class!     Quiz # 8 will cover material from the following sections covered in assignments for 11/16  to 11/30: 3.14, 4.1, 4.3, 4.4, 4.8, 4.9 :     		Roots of Polynomials.
    Slopes-Secant lines and Linear Interpolation
    Bisection and Secant methods for estimating roots.
    Composition & Inverse functions
    Composition with linear functions: graphs and Mapping figures.
    Combining trig Functions- lines review.

    Operations and composition of function
    		 Final comments on elementary functions- algebraic, logrithmic exponential, and trignometric.
    Some of my "favorite functions."
    A pre-calculus view of some calculus problems.
    Extremes, tangents,areas. 
    Final Exam
    Review Session Sunday 3:30-5:30pm
    SciB 133
    		Dec 10
    1240-1440
    FH 111    

       

    		Dec. 13
    1240-1430
    FH 111

         		Dec. 14
    1500-1700
    Sci B 133

    		Not covered. :)
    Logarithmic scales
    log scales (simple)
    Log scales
    Worksheet on log scales
    Music and log scales
    Earthquake Magnitude and logs.
    Slide rules
    On-line java sliderule
    More Slide rules
    More applications of logs





    TentativeAssignments and Recommended Problems Tentative [Subject to change and correction] 
    *Early or Just in time: When two due dates are given,
    the first date is for preparation and/or starting problems,
    the second date is for completion of problem work.
    Last updated: 8-29-07
    Due Date
    SECTION
    Reading in Workbook
    or in SC on line.
    		 CD Viewing
    		 Assignments
    *Thinkwell Exercises on-line
    		 Special Instructions & Interesting but Optional 
    8-22
    		Best Study Methods (Thinkwell on-line)
    Preface
    Ch 2: pp 87-90
    Sensible Precalc Ch 1.A
    		 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.

    8-24/27 Sensible Precalc Ch 1.B.1 (Firefox Preferred) 2.11Solving Inequalities:
    2.11.1 Intro to Solving Inequalities [8.5 min]    		 p26:pr-pr and rev q's.
    p150: pr-pr and rev q's.    		 These problems will not be collected.
    8/29
    		 ch 1 pp 23-26 ;  43-44
    ch 2: pp 149 - 150
    Ch 2 pp151-154
    Sensible Precalc Ch 1.B.1(Firefox Preferred)    		 2.11.3 More on Compound Inequalities (Disc 1, 9:15)
    1.6.3 Rationalizing Denominators (Disc 1, 12:22)
    3.1.1 Using the Cartesian System (Disc 2, 7:31)
    3.1.2 Thinking Visually (Disc 2, 2:55)

    		 *1.2.1 and *1.2.2
    *2.1.1 and 2.1..2
    *2.11.1 and 2.11.3
    *1.6.3     		This is the first on-line assignment- complete these by FRIDAY, 8/31
    8/31:9/5*
    		 Ch 1 pp  46-47; 49-50; 54-59.
    Ch 3 pp 175-179; 182-186.
    pp 193-197
    Similar triangles.    		 1.9 Factoring Patterns              
    1.9.1   Factoring Perfect Square Trinomials  
    1.9.2   Factoring the Difference of Two Squares   
     3.2.1 Finding the Distance between two Points  [10:57]  
    		This is the second on-line assignment (more review) - try to complete these by 9/7
    *1.9.1
    *1.9.2    		 Ch 1.B.1:  1c, 2, 16
    CD: Finding the Center-Radius Form of the Equation of a Circle[8:49]
    More on Similar triangles.
    Dynamic Geometry® Exploration SimilarTriangles
    9/7
    		 Ch 3 pp 185086;
    pp193-197
    		 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]    		 *3.4.1
    *3.5.2    		 Extra help from Purple Math on Converting between Decimals, Fractions,
       and Percents
    Try the Practice Quiz- at thinkwell.
    9/7,10*
     
    		 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]    		 *3.9.2
    *3.10.1
    *3.10.3
    *3.10.5
    Quiz #1 will be available on Friday, 9/7!
    9/10,12*
    		 Ch 3 pp198-213
    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.
    9/12,14*
    		 Ch 6. pp 429-436;
    		 Working with Functions        
    3.7.1  Determining Intervals Over Which a Function Is Increasing       		Submit QUIZ #1
    		 On-line Mapping Figure Activities
    9/14, 17,19*
    		 Ch 6. pp 429-436; 3.7.2  Evaluating Piecewise-Defined Functions for Given Values [Modified 9-12!]
    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          		*3.7.2
    *6.2.1
    *6.2.2
    9/17,19*
    		 Ch 6.439-445 6.2.4  Using Trigonometric Functions to Find Unknown Sides of Right Triangles     
    6.2.5  Finding the Height of a Building    		 *6.2.4
    9/19, 21,24,26*
    		 Ch 6 pp425-426; 436-439
    Ch 8. pp 547-548
    Law of Sines.    		 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)
    8.1.1 The Law of Sines (Disc 4, 9:04)    		 *6.1.4
    *6.2.3
    *8.1.1     		Try Practice Quiz #2 .
    9/24,26
    		 Ch 8. pp 549-557 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)    		 *8.1.2 Submit QUIZ #2
    9/26,28*
    		 Ch 8  pp558- 559
    A visual proof for "The Law of Cosines"    		 8.1.4 The Law of Sines: An Application (Disc 4, 6:12)
    8.2.1 The Law of Cosines (Disc 4, 5:38) 
    		*8.2.1 Try Practice Quiz #3
    Demonstrations of the laws of sines and cosines
    9/28, 10/1*
    		 Ch 8  pp560- 565
    		 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)    		 *8.2.3
    *8.2.2
    		 Submit QUIZ #3 by 9-30
    10/1
    		 Ch 6. pp426-429; 6.1.5 Using the Arc Length Formula (Disc 3, 7:23) *6.1.5 History of Pi
    10/3-5 Ch 7 pp 495-500; 513-515
    		  7.1.1. Fundamental Trigonometric Identities
    7.1.2. Finding All Function Values
    7.4.1 Solving Trigonometric Equations (Disc 4, 9:08)
    		 *7.1.1
    *7.1.2
    10/5-8-10*
    		 ch 6. pp446-449; 451-460, 480-481

    Ch 7: 513-515
    		 6.3.1 Evaluating Trigonometric Functions for an Angle in the Coordinate Plane (Disc 3, 15:00)
    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
    6.4.2 Graphing Sine or Cosine Functions with Different Coefficients (Disc 3, 12:20)
    6.7.2. Evaluating Inverse Trigonometric Functions
    7.4.1 Solving Trigonometric Equations (Disc 4, 9:08)
    		 *6.3.1
    *6.3.4
    *6.4.2
    *6.7.2
    *7.4.1    		 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)
    10-11
    		Quiz #4 willl cover material from the following sections:
    6.1.4; 6.1.5; 6.4.1; 6.4.2; 6.7.2; 8.2.1; 8.2.2; 8.2.3

    10/8-10*
    		 Ch 7 pp 499-506
    Ch 7 pp506-516    		 7.2.1. Simplifying a Trigonometric Expression Using Trigonometric Identities
    7.2.2. Simplifying Trigonometric Expressions Involving Fractions
    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)    		 *7.2.1
    *7.2.5
    10/10-12*
    		 Ch7 pp525-528
    		 7.3.2 Proving an Identity: Other Examples (Disc 4, 6:16)
    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)
    		 *7.3.1
    *7.5.1
    		 sin(A+B) proof illustrated.
    10/15-17*
    		 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)    		 *7.6.2 Summary of trig identities
    10/17-19*
    		 Ch 6 pp477-481
    Ch 7  pp516n-521    		 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 History of Trigonometric functions
    10/19-22*
    		 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
    *6.6.1    		 graph SinAX
     graph A sin(BX+C)
    10/24-26 Ch 6 p481-485 6.3.2 Evaluating Trigonometric Functions Using the Reference Angle (Disc 3, 11:19)
    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)    		 *6.7.4
    10/29
    		 Ch 8 pp584-588 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)    		 *8.5.2
    		 Trisection of angles, trig and algebra!
    8.5.3 Multiplying and Dividing Complex Numbers in Trigonometric or Polar Form (Disc 4, 11:08)
    Complex Numbers,
    10/26-29-31 11/2*
    		 Ch 1. pp30-35;37-42
    ch5: pp361-366    		 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)
    5.3.1 An Introduction to Exponential Functions (Disc 3, 8:06)
     5.3.2 Graphing Exponential Functions: Useful Patterns (Disc 3, 8:55)    		 *5.3.1 5.3.3 Graphing Exponential Functions: More Examples (Disc 3, 7:18)
    10/29-31- 11/2*
    		 Ch 5  pp367-368
    Ch 5 pp368-370    		 5.4.1 Using Properties of Exponents to Solve Exponential Equations (Disc 3, 6:55)
    5.4.2 Finding Present Value and Future Value (Disc 3, 8:39)    		 *5.4.1
    10/31- 11/7*
    		 Ch 5 pp 368-374 (note repeat!)
    		 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)
    		 *5.4.2
    		 History of the number e
    11/7-9*
    		 Ch 3 pp 209-211
    Ch 5 pp 374-377

    		 5.5.2 Applying Exponential Functions (Disc 3, 4:31)
    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
    *5.5.2
    11/7-14*
    		 Ch 5 pp 377-383  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)
    		 *5.7.1
    *5.7.3
    11/9-14*
    		 Ch 5 pp 386-395 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)    		 *5.8.1
    *5.9.1
    *5.9.2    		 How and Why a Slide Rule Works
    On-line java sliderule
    11/9-14*
    		Ch 5: pp 398-400; 407-407
    		5.11.1 Solving Exponential Equations
    5.13.1 An Introduction to Exponential Growth and Decay
    		*5.11.1
    *5.13.1


    11/14-16*
    		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
    		History of the Function concept
    11/16-26
    		 Ch 2 pp 112-3; 117-121
    A Review of Solving Quadratic Equations
    Ch 4 pp295-299
    		 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)
    4.1.1 Using Long Division with Polynomials (Disc 2, 9:33)
    4.1.2 Long Division: Another Example (Disc 2, 6:39)
    		 *2.4.1
    *2.5.2
    11/28-30*
    		 Ch 4 pp295-299; 304-307 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)    		 *4.1.1
    *4.3.1
    *4.4.1
    11/28-30*
    		 Ch 3 pp 256-258 3.14.1. Deconstructing the Graph of a Quadratic Function
    3.14.2. Nice-Looking Parabolas    		 *3.14.1
    11/28-12/3*
    		 Ch 3. pp 291-292 3.18.5 Finding the Difference Quotient of a Function (Disc 2, 4:21) *3.18.5
    11/30-12/3*
    		Ch 2 pp 155-162; 169-172
    Ch 4 pp 333-339 (added 11-29)

    		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)
    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)
    		*2.12.1
    *3.18.1
    *4.8.1


    		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)
    12/3
    		 Ch 1. pp26-29
    Ch 2.pp164-167;169-170    		 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)    		 *2.14.2  Solving Absolute Value Equations     
    *2.14.4  Solving Absolute Value Inequalities    		 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)
    12/3
    		 Quiz 8! Quiz # 8 will cover material from the following sections covered in assignments for 11/16  to 11/30: 3.14, 4.1, 4.3, 4.4, 4.8, 4.9
    12/7!!
    		 Ch 3 pp 285-292 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)    		 *3.18.1
    *3.18 .4





    Inventory of Assignments from Summer 2006







    		6.4.3 Finding Maximum and Minimum Values and Zeros of Sine and Cosine (Disc 3, 6:49)
    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)



    		 Sensible Precalc Ch 1.B.2 Read!(Firefox preferred)
    		 3.7.3  Solving Word Problems Involving Functions *3.7.3




     





    		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


    Ch 4 pp 308-319
    		 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)
    		 *4.5.1
    *4.6.1














    		Inventory!


    		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...

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

    Word problems


    Newton's Law of Cooling

    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 :}