Martin Flashman and Jeff Haag's  Math 115 Summer, '05
Tentative Course Information- Subject to Change
Algebra and Elementary Functions
MTWR 1100-1220 SH 128
Office Hours: MTWR 10:00-10:45
  • Prentice Hall Web Site for Assistance,etc.
  • Course Assignments

    • Flashman OFFICE: Library 48     E-MAIL: flashman@humboldt.edu        PHONE:826-4950
    Haag OFFICE: Library 8     E-MAIL: haag@humboldt.edu        PHONE:826-5345
    Hours (Tent.):  MTWR  10:00-10:45       AND BY APPOINTMENT or by CHANCE!
  • 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: Sullivan and Sullivan, Precalculus Enhanced with Graphing Utilities, third edition, Prentice-Hall, 2002. [The ISBN for the HSU custom order text is 0536684812.]
    Optional: PreCalculus (CD Collection) by Edward Burger, Thinkwell, 2001
    Sensible Precalculus Materials by Martin Flashman Chapter 1 on-line.
  • SCOPE: We will cover topics primarily from the preliminaries and chapters 1-6 in S&S. Supplementary materials will be provided as appropriate.
  • TESTS and ASSIGNMENTS:  Homework assignments are made regularly. We will use Blackboard  to grade homework.
    • Homework results must be recorded on Blackboard by10:45 AM of the due date to receive credit.
  •   We 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 on Blackboard and some in-class tests, will have  problems similar to the homework. 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 1-6 Best 5 scores 500 points
    Reality Quiz 7
    		 100 points
    Homework 200 points
    Final Examination 400 or 800 points
    Total 1200 or 1600  points
  • The final examination will be be worth either 400 or 800 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 800 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 do this through the on-line registration system . See the summer session course list for a full list of relevant days.
  • Technology: The 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  office hours for some additional work on these background areas either as individuals or in small groups. Office time is  also available to discuss routine problems from homework after they have been discussed in class,  reality check quizzes, as well as using  technology.

    Regular use of Office hour 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. Version date: 5-26-05] 
    Week\Day 
    Monday
    		Tuesday
    Wednesday
    Thursday
    For Current Algebra and Functions:Haag schedule Weeks I-III,(click here)
    I. Introduction: Backgrounds and Key concepts No Class
    		 5-31
    		 6-1
    		6-2 
    II. Beginning Functions-Core functions and concepts. 
    Exponential functions    		 6-6
    		6-7
    		6-8
    		6-9
    III. Logarithmic functions 6-13 


    IV. Right Triangle Trig

    		 6-20 Geometry review:
    Similar triangles.
    Review of Key Right Triangles. 
    Overview of Core: trigonometric functions for Right Triangles
    		 Solving Right triangles.
    Triangle trig: Inverse trig acute angles.
     



    		Law of Sines.
    Sine for obtuse angles.
    More Inverse trig
    Trig for obtuse angles.
     Inverse tangent function.
    		 More law of sines
    Start Law of cosines. 
    Trig functions for all angles (sine and cosine)
     
    V.Lab: Graphing and Trig Applets.?  6-27Quiz #3
    More on law of cosines.
         		Applications of triangle trig 
    Trig functions for all angles
    Radian measure and circles in general.         		The big picture on trig functions with the unit circle: Core functions and elementary functions
    More on Radian measure    		 more on sine, cosine and tangent functions.
    Trig function graphs
    [LAB ]         		NO Class July 4 Holiday
    		 7-5
    Circular Motion.Graphs of sin and cos
    More on graphs and basic properties of trig functions.     		More on graphs of trig functions.
    sines and cosines: Amplitude, etc.
    Symmetry [wrt axes.]
    		 Quiz #4
    Graphs of tan and sec.
    More on graphs related to sin(x). 
     
    VII.Trig Equations 
    Trig Identities
    [***LAB ***]

         		7- 11
    More on graphs.
    		 Graphs of tan and sec.
    Begin Trig Identities
    Begin trig equations and
    review of  inverse trig functions.    		 More Trig equations and review of   inverse trig functions (Asin and Acos) More on graphs of trig functions, identities and equation.
    		 Quiz #5
    More equations.
    Graphs for inverse trig.
    VIII. 7-18
    Inverse Cosine and more.
    Addition formulae-
    		 More on Trig Identities: double angles!
    Double and half angles
    Product to sum trig.     		Other Trig identities.
    Complex numbers and trig
    Combining trig Functions- lines review.
     
    		 Quiz #6
    More Trig functions and equations:
    graphs and elementary functions
    More on  Complex Numbers and trig and complex roots!
    For Current Algebra and Functions:Haag schedule Weeks IX and X (click here)
    IX.Polynomial and Rational Functions 7-25 



    X. Pre-Calculus! 8-1
    		Final Exam Part I  Final Exam Part II

    TentativeAssignments and Recommended Problems Tentative [Subject to change and correction] 
    Last updated: 7-20-05 
    HW #
    Due Date
    SECTION
    Reading
    		CD Viewing (Optional)
         		Assignments 
    		Special Instructions &
    Interesting but Optional

    For Current Algebra and Functions Assignments:Haag  Weeks I-III(click here)
    HW #11
    6-21and 22
    		 7.1 Only pp 528-529; pp530-532 Right Angle Trig.- Intro, Evaluating
    		 p536: $$(1-4)
    p536: 5-8, 21, 23, 35, 41    		 $$ For 1-4 Find sine, cosine, and tangent for the given angle in the triangles.
    HW#12
    6-22 and 23
    		 7.1
    7.2 pages 539-542    		 Finding an angle...,Using trig..., finding the height...
    The Law of Sines- The law...Solving a triangle...    		 p536: 22,26,27, 37, 42, 43, 47, 52
    p 547: 1-3, 5, 15, 29, 33    		 Sines
    Cosines
    Tangents and slope
    The trigonometry of right triangles
    Area of a triangle
    HW# 13
    6-23 and 6-27
    7.2 pages 543-546     		The Law of Sines- Solving a triangle... p536: 31,33, 39, 49, 57, 61
    p 547: 9,11,13,17,23, 24, 31,39     		Demonstrations of the laws of sines and cosines
    HW # 14
    6-27 and 6-28
    		 7.3 through Ex. 1
    7.3 Ex.2&3
    5.1    		 Angles and radian Measure:
    Finding the quadrant...Converting.     The Law of cosines: The law.., (SAS), SSS
    The trig functions: trig functions of important angles    		 p555: 1-3, 25
    p555: 7, 13, 21, 27, 28, 31

    HW # 15
    6-29
    		 5.1 pp 372-377
    		p379: 1-35 odd

    HW # 16
    6-30
    		 5.2 pp382-393
    5.1 p377-378    		 Angles and radian Measure: Using the arc Length Formula p 379: 37-39, 45-47, 53, 55
    p395: 1-3, 9-29 odd; 39,43,47,53,57-65 odd.

    HW # 17
    7-5
    		 5.3  pp399-406, 409-410
    5.4 p414-5; 417
    		 Basic Trig Identities: Fundamental...
    Graphing Sine and Cosine:: Intro..., Graphing     		p 395: 1,3,7, 39, 43
    p411: 1 - 7odd,17-23 odd
    p411: 67-77odd;49-53; 103-104

    HW #18
    7-6 and 7-7 and 7-11
    		 5.4

    		 Graphing .. with shifts: ... phase shifts. Fancy...

    		 p 426: $$ (13,17, 21), 39-47

    		 $$ For 13, 17, and 21:Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph.
    HW#19
    7-6, 7-7 and 7-11
    		 5.5 Graphing other trig: ... the Tangent... p 435: 1-14
    p 426: 1-10,  $ (29-33 odd), $$( 15, 24, 53)    		 $ For 29-33 odd :Ignore the text instruction. Graph each function. 
    $$ For 15, 25, and 53: Ignore the text instruction.  For each function make a table of values, a composed transformation figure, and a graph.
    HW #20
    7-12
    5.3
    5.6: pp437-440
    		 Graphing Sine..: Fancy Graphing: Changes in period...
    p446: 1,3,13, 17 [Not on Blackboad]

    HW #21
    7-13
    5.2 pp393-394
    5.3
    6.3 pp477-478    		 Proving Trig Identities: Proving...
    		 p396: 73-75
    p480:1-10

    HW #22
    7- 18
    		 6.1: pp 458-465
    		p468: 1-11 odd, 13-15, 45, 47

    HW #23
    7-14 and 18
    		 6.3
    6.7 pp 507-509
    		p511: 1-5
    p 480: 11,14,17,20,...,41 (every 3rd problem), 81, 85

    HW #24
    7-18
    		 6.3
    6.7
    		 Solving trig Equations: Solving...
    		 p 511: 11-19 odd, 35-37
    p480: 51, 54, 57,... , (every 3rd problem) ,78

    HW #25
    7-18 and 19
    6.1 (especially graphs)
    6.2  pp470-472
    6.4 pp482-486
    		 Inverse Trig Functions:  An Intro...,
    Evaluating the composition...

    		 p468: 25-27, 33-35,49
    p474: 1-9odd; 13,19

    		 Look at This PAGE on the web!
    HW #26
    7-19
    		 6.4 pp482-486
    6.5 pp493-494
         		The Sum and Difference Identities:
    		p 491: 1-4, 13-21 odd
    .    		 great web resource for trig with java (manipula math products)
    HW #27
    7-20
    6.4 pp486-489
    6.5. pp498-500     		Identities...
    Double-Angle Identities: Confirming..., Using....    		 p 491: 23,24,31,32,41
    p501: 1, 2, 7 [DO a and b only]

    HW #28
    7-20 and 21
    		 6.6 pp503-504
    		p501: [1,2,7] DO c and d only. 13,14, 51,53, 59, 60
    p505:1,2
    p 491:  7, 43, 53, 55, 59, 81 
    p 501: 15, 45, 67

    For Current Algebra and Functions Assignments:Haag Weeks IX and X (click here)

    		2.4
    2.5
    3.1 pp174-182
    A3 Polynomial algebra (Review!)

    		 Quadratic Functions- Basics
    		 p145: 1-12, 23, 41, 51, 63ef
    p189: 1-8, 9,11,13,15,25-28
    p 1012: 3, 11,19,23,27,35 ,39,47, 63


    		3.1 pp182-187
    3.2 pp 195-198 middle
    A7  Complex Numbers, etc.
         		Quadratic functions- The vertex.
    Quadratic Equations and the Quadratic Formula
    		 p 189: 31,33,37,43,49,53,55,65, 69,73,81
    p211: 1-13


    		A5 Polynomial Division
    3.3 pp203-205 (zeroes and multiplicity on graphs)
    3.7  pp245-247(remainder and factor theorems)
    		 Polynomials- Long Division
    The remainder Theorem
    The factor Theorem
         		p211: 1-13
    p 1028: 1-5, 19-21, 23, 24
    p211 : 17, 18, 19-25odd (a,b only), 65
    p257:1-5,73



    		2.1
    3.7
    3.8
    3.4
    		p99: 73-79, 83,85
    p263:1-5 odd, 11, 17, 35, 36
         		read more on-line about Complex Numbers or App.7
    Inventory



    		85














    		4.6 pp331-335 (New- 7-2-03)
    		p336: 11,29,37,47


    		4.4
    		p321:  75, 77, 79


    		4.5
    		p311:  98;  p327: 17, 19, 21, 23, 29; 13, 15


    		4.5
    		p327: 3, 14, 49, 53


    		4.7
    		p347: 4, 12a,b,c, 13a,b,c, 15a


    		REVIEW
    		p361: 11,13-16, 21-24,27,31,33,35,39,$$(43,51), 53,59,79,83 $$ For 43 and 51: Ignore the text instruction.  For each function make a table of values, a composed transformation figure, and a graph.

    5.4
    		p 426: 1-10,  $ (29-33 odd), $$( 15, 24, 53) $ For 29-33 odd :Ignore the text instruction. Graph each function. 
    $$ For 15, 25, and 53: Ignore the text instruction.  For each function make a table of values, a composed transformation figure, and a graph.

    5.5
    		p435: 1-10; 19, 21, 23, 35


    		5.3 pp399-404;409-410




    REVIEW
    		p452:1-11 odd, 47, 48, 59, 60, 79, 83, 85 
    p574: 19, 21, 51


    5.5 
    5.6: pp437-440
    		p446: 1,3,13, 17


    6.1
    6.2
    		p468: 25-27, 33-35,49
    p474: 1-9odd; 13,19


    6.7




    6.3
    		p 480: 1-10
    p474:29, 33, 37


    		6.8 pp513-514
    		p518: 1, 3,4,7


    		3.7 p248-251 (rational and real roots)
    		p257: 11-17 odd, 29, 53


    		3.7 pp255-6
    		p258: 33,35,63, 65


    		3.8 
    		p263:1-5 odd, 11, 17, 35, 36


    		3.4 
    		p224: 1-7 odd; $$ (23, 29,30, 31); 35 $$ For 23, 29, 30, and 31 : Ignore the text instruction.  For each function make a table of values, a composed transformation figure, and a graph.
    read more on-line about Complex Numbers or App.7

    		2.3 
    		p 123: 25-35 odd; 59-65 odd


    		4.1 inverses
    		p284: 1-5,9-11, 15-17, 21-25odd,31-39 odd


    		 1.5
    3.5
    		p. 57:  67, 69
    p 234: 1,9, 27


    		Review
    		p167: 1-3,7,18,19, 23,29,35, 61,65,67


    		Review for Final
    		p 580: 1,3,4,5,6,8,9,11,12,13


    		5.4 p419-425
    		p427: 49-56; 63-65; 85,86


    		2.5 
    		p145: 17-22, 25ab, 33, 37, 39, 55, 63abcd


    3.1 
    p189: 1-8, 25, 29, 33, 35, 37, 73


    2.6 
    p155: 1, 5, 13, 19, 35, 51


    4.1 
    p285: 15, 21, 31, 33, 35, 55, 61


    2.7, 3.1
    p194: 87, 75; p163: 1, 13, 23

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