Martin Flashman's Courses - Math 115 Summer, '03
Tentative Course Information- Subject to Change
Algebra and Elementary Functions
MTWR 1100-1220 SH 128
Occasionally Thursdays  SH119 or HGH 229
Final Exam: Part I (40 Minutes-8-6-03)
Part II (80 Minutes- 8-7-03)
Office Hours: MTWR 9:00-10:00 and 2:40-3:30
  • Prentice Hall Web Site for Assistance,etc. (This only works with Internet Explorer)
  • Course Assignments: Text Problem lists (Most recent)
  • Course Daily Schedule Plan (subject to change) 
  • Precalculus (and Calculus) websites
  • Math 095 modules at CSU Northridge (ALG II w/ geometry)
  • Algebra topics at the Purple Math website
  • Visual Calculus (Univ. of Tenn.) some pre-calculus tutorials, etc.
  • D.E. Joyce's  short introduction to Trigonometry (java  and web based)
  • New! Dave's Short Course on Complex Numbers This is an introduction to complex numbers (mathematics and a little bit of history as well).
  • Trig Java Applets Excellent Java applets that dynamically illustrate trigonometry.(International Education Software) 
  • Want to find out what your learning style is?

    • Here are two interesting learning styles inventories on the web: (1) NC State  (2)  Diablo Valley College .
  • Success in Mathematics (St.Louis University)
  • NEW! "How to suck up to your teacher." Homework Guidelines for Mathematics from Purple Math
  • Winplot (freeware for PC's that we will use) may be downloaded from Rick Parris's website or directly from Winplot .
  • Notes for Winplot authored by Al Lehnen (Madison Area Technical College in Madison, Wisconsin)

    • Back to Martin Flashman's Home Page :)

    OFFICE: Library 48     E-MAIL: flashman@humboldt.edu        PHONE:826-4950
    WWW: http://flashman.neocities.org/
    Hours (Tent.): 7/7 - 8/7 MTWR 9:00-10:00 and 2:40-3:30       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.]
  • 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 be using Blackboard  to grade homework.

    • Homework results must be recorded on Blackboard by10:45 AM 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 on Blackboard and some in-class tests, will have similar problems. 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 100 points
    Final Examination 400 or 600 points
    Total 1200 or 1400  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 make this request to the Adm & Rec office in writing. 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 and Math 99: 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 routine problems from homework after they have been discussed in class,  reality check quizzes, as well as using  technology.

    You may consider registering for Math 99 Tutoring for Math 115. This is a 2 unit, credit/no credit "course" that provides generous tutorial assistance paid for by your registration. If you can afford the units, this is a good way to get help on specific problems.
    Regular use of my time outside of class or Math 99 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] 
    Week\Day 
    Monday 
    Tuesday 
    Wednesday
    Thursday
    I. Introduction: Backgrounds and Key concepts  Introduction 
    What are Numbers? 
    Comparing Numbers:=,< 
    Sensible Precalc Ch 1.A
    Number Operations, equations. (1.4)     		 Visualizing: numbers & intervals. 
    Solving linear inequalities (1.5) 
    The Pythagorean theorem. 
    Proofs of the Pythagorean Theorem 
    [Over 30 proofs !]
    [Many Java Applets proofs ]    		 Sqr(2) is not a rational #. 
    Algebra review. App. A.1 
    Visualizing variables and plane coordinate geometry.    		 More Geometry review: Midpoints.. Similar triangles. Slopes of lines. 
    Review Polynomials. A.3 (Factoring)
    II. Beginning Functions-Core functions and concepts. 
    Begin Right Triangle Trig    		   What's a function? 
    More on functions. 
    Graphs and mapping figures. 
    Lines and linear functions.    		 Lab: Graphing Functions with Winplot.
    Secant lines for graphs of functions.Overview of Core: algebraic. Other function qualities.    		 More on functions: 
    A.9 Properties of roots and exponents. 
    Overview of Core: trigonometric.Right Triangles 
    Practice Quiz.    		 Secant lines and Linear Interpolation. 
    Review of Key Triangles. 
    Solving Right triangles. 
    Triangle trig: Inverse trig acute 

    Quiz #1 - On-Blackboard Due by Tuesday 10:00 AM
    III. Triangle Trig Symmetry [wrt axes.] 
    Primary Descriptive features of functions. 
    More Triangle trig: 
    Law of Sines.    		 Abs. value inequalities 
    Sine for obtuse angles. 
    More law of sines 
    More Inverse trig (sine obtuse).    		 Trig for obtuse angles. 
    Trig functions for all angles 

    Piecewise functions, 
    Composed Mapping figures.     		 Lab: Graphing and Trig Applets.
    Radian measure and circles in general.
    IV. Exponential functions Exponential Functions. 
    Compound interest  4.6(I) 

    Start Law of cosines.    		 Quiz #2 in class 
    Exponential functions and graphs.What is e? 4.2     		 More on Exponential Applications- compound interest and growth.4.8 Logarithms: Introduction and definition. 

    Applications of triangle trig     		 LAB  Graphs of exponential, logarithmic, sine & cosine functions.
    V. Logarithmic functions  Basic properties of logs...  and applications and exponents-solving equations 
    More on Radian measure. More on graphs of trig functions.Graphs of tan and sec.    		  Quiz #3 in class 
    More on Radian measure. 

    More on logs and exponents-    		 Calculating with logs-solving equations. 
    Circular Motion.    		 Logarithmic calculations in equations and computations. 
    Logarithmic scales. Slide rules? 
    VI.Trig function graphs Models using Exponential Functions. 
    Brief  look at The Logistic    		 Quiz #4 in class 
    More on graphs of trig functions. 
    Graphs of tan and sec.    		 Begin Trig Identities 
    Begin trig equations and review of 
     inverse trig functions 
    More exponential models.     		   ***LAB ***
    VII.Trig Equations 
    Trig Identities    		 More on graphs of trig functions, identities and equations.  Quiz #5 in class 
    More equations.     		 Graphs for inverse trig. 
    Begin Trig identities.    		 More on Trig Identities 
    Addition formulae-double angles! 
    VIII. Double and half angles  Quiz #6 in class Product to sum trig.Other Trig identities.  Translation and scales for quadratics. 

    More Trig functions and equations:
    graphs and elementary functions    		  more on quadratics. Graphs of polynomials 
    Complex numbers and trig.
    IX.Polynomial Functions  Quiz #7 due by 5 pm 
    Long division and factors of polys. Roots and more on Polynomials.     		 MORE Polynomials- rational, real and complex roots! 
    		More on  Complex Numbersand trig and complex roots! .
     Begin Rational functions     		  Quiz #8 in class
     More on Intermediate value theorem. 
    Bisection and Secant methods for estimating roots.
    Rational functions.Asymptotes. 
    X. Pre-Calculus! More on rational functions. 
    Combining trig Functions- lines review. Difference quotients.Putting functions together.
    Composition & Inverse functions    		 Final comments on functions- algebraic and trignometric.
    "Tangents to graphs for logs and exponential functions. "?? A precalculus view. 
    Graphs using logarithmic scales.Example of using log and exp:log and log-log scales.    		  Final Exam Part I
    (40 minutes on Log and exponential functions.)
    		Final Exam Part II (80 minutes with very little from Part I)

    TentativeAssignments and Recommended Problems Tentative [Subject to change and correction] 
    SeeThe Prentice Hall Web Site
    Last updated: 6-1-03
    SECTION
    Reading
    Due Date
     Assignments 
    		 Special Instructions & Interesting but Optional 
    1.4 6-3 p43: 13-25 odd
    6-3 Read Sensible Precalc Ch 1.A
    1.5 6-4 p56: 13-59 odd Read Sensible Precalc Ch 1.B.1
    Ch 1.B.1 6-5 Ch 1.B.1: 1(a,b), 3-7, 10, 14 1c, 2, 16
    A.1 6-5  7,10,13,...43, 46 Every 3rd problem.
    A.2 
    Similar Triangles    		 6-9 Read only
    A.3. 6-9 3,11,19,27,39,47
    1.4 6-9 31,41, 89
    1.1 6-9
    p9: 1, 3; $$49, 29; 39
    		 $$  For exercises 49 and 29, replace the given instructions by 
    a. plot the given points.
    b.Then, for the two given points, determine the distance: include the horizontal, vertical, and straight-line distances.
    c. determine and plot the midpoint
    1.2 
    		 6-10
    p19: 1, 5, 7, 8, 13, 19, 23
    Sensible Precalc Ch 1.B.2 6-10 Read!
    1.6 
    		 6-10
    p73: 71, 73, 59, 65, $$ 35, 39, 47, 53
    		 $$For problems 35, 39, 47, 53, Give the equation in slope intercept form and draw a graph and a transformation figure for the given information.
    2.1 
    		 6-11
    p96: 13abc, 15abc, 47, 85, 80
    		  
    2.2 read only pp101-102, 107-108
    		 6-11
    p108: 1, 3, 5, 7, 31
    1.6
    		 6-11 p73:27-33 odd; 89,93
    2.2
    		 6-12 p 111: 33, 35
     2.1
    		 6-12 p 96: 61, 63, 67, 69
    A.9
    		 6-12 p 1064: 1,7,25,31,33,36
    7.1 Only pp 528-529
    		 6-12 p536: $$(1-4)
    $$ For 1-4 Find sine, cosine, and tangent for the given angle in the triangles.
    2.3 Only pp112-115 
    		 6-16 Do the reading FIRST! p123: 25,28,35
    A.9
    		 6-16 p 1064: 41-46, 53,57  
    7.1 Read  pp530-532
    		 6-16 p536: 5-8, 21, 23, 35, 41
    7.1
    		 6-17 p536: 22,26,27, 37, 42, 43, 47, 52
    7.1
    		 6-18 p536: 31,33, 39, 49, 57, 61
    2.3
    		 6-17 p122:  11, 13, 14, 15, 17
    1.5 pp53-55
    		 6-18
    p57: 73-85 odd
    2.4 p128-131
    		 6-19 p132: 1-8,15,16,19,27
     7.2 pages 539-542 6-17 p 547: 1-3, 5, 15, 29, 33 
    7.2 pages 543-546 6-18 p 547: 9,11,13,17,23, 24, 31,39
    NO SPECIFIC READING 6-19 p411: 1 - 7odd,17-23 odd
    5.1 pp 368-372
    		 6-23 p379: 1- 35 odd
    5.2
    		 6-23 p 395: 1,3,7, 9 -12, 23,29, 39, 43
    7.3 through Ex. 1
    		 6-24 p555: 1-3, 25
    7.3 Ex.2&3
    		 6-25 p555: 7, 13, 21, 27, 28, 31
    4.2 pp287-288
    		 6-24 p 297: 1-3
    4.2
    		 6-25 p 297:4, 5, 7, 9, 11-18,37, 38, 65 See $$ for 19-22,25. $$ For 19-22,25:Ignore the text instruction. For each function make a table of values, a transformation figure, and a graph.
    4.2
    		 6-26 p298: $$29-34, 42, 61 $$ For 29-34:Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph.
    4.6 pp327-330 
    		 6-25 p335: 1, 3,5, 7, 9, 21, 25, 27, 11
    4.3 pp301-304 6-26 p310: 1, 11, 13, 19, 24, 27, 31, 35, 36
    4.3 pp307-308 6-30 p310: 25,26,28-30,37-39,42,43,47,48
    85-88, 97,99
    5.4 6-30 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.
    4.3 & 
    4.4 pp 318-9
    7-1
    		 p311: 89-94, 101, 103,111
    p321: 61, 62
    5.1 pp 372-377 7-2 p379: 37-39, 45-47, 53, 55
    5.1 p377-378 7-3 p380: 81, 85,87,89,97,99
    4.4 pp313-317,320 7-3 p321:3, 5, 6, 9, 25, 31, 39, 45, 51
    4.6 pp331-335 (New- 7-2-03) 7-3 p336: 11,29,37,47
    4.4 7-7 p321:  75, 77, 79
    4.5 & 4.3 pp307-309 7-7 p311: 85, 87, 91, 93;  p327: 1, 5, 9, 11, 12
    4.5 7-8 p311:  98;  p327: 17, 19, 21, 23, 29; 13, 15
    4.5 7-8 p327: 3, 14, 49, 53
    4.7 7-8 p347: 1, 2, 3
    4.7 7-8 p347: 5, 9, 11
    4.7 7-10 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
    		  7-9 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
    		 7-9 p435: 1-10; 19, 21, 23, 35
    5.2 pp393-394 7-9 p396: 73-75
    5.3 pp399-404;409-410 7-10 p411:49-53; 103-104
    REVIEW
    		 7-14 p452:1-11 odd, 47, 48, 59, 60, 79, 83, 85 
    p574: 19, 21, 51
    5.5 
    5.6: pp437-440
    		 7-14 p446: 1,3,13, 17
    6.1 
    6.7
    		 7-15 p468: 1-11 odd, 13-15, 45, 47
    p511: 1-5
    6.1
    6.2
    		 7-16 p468: 25-27, 33-35,49
    p474: 1-9odd; 13,19
    6.7
    		 7-16 p 511: 11-19 odd, 35-37
    6.3
    		 7-17 p 480: 1-10
    p474:29, 33, 37
    6.4 pp482-486
    		 7-21 p 491: 1-4, 13-21 odd Look at This PAGE on the web!
    6.3
    		 7-21 p 480: 11,14,17,20,...,41 (every 3rd problem), 81, 85
    6.3 7-22 p480: 51, 54, 57,... , (every 3rd problem) ,78
    6.5 pp 494. Example 1 only! 7-21 p501: [1,2, 7] DO a and b only.
    6.5. pp498-500 7-22 p501: [1,2,7] DO c and d only. 13,14, 51,53, 59, 60
    6.4 7-23 p 491: 23,24,31,32,41
    6.4, 6.5 7-23 p 491:  7, 43, 53, 55, 59, 81 
    p 501: 15, 45, 67    		 87 (optional)
    6.6 pp503-504 7-24 p505:1,2
    6.8 pp513-514 7-24 p518: 1, 3,4,7
    3.1 pp174-182 7-24 p189: 1-8, 9,11,13,15,25-28
    3.1 pp182-187 7-28 p 189: 31,33,37,43,49,53,55,65, 69,73,81
    3.2 pp 195-198 middle 

    3.3 pp 201-208    		 7-28

    7-29    		 p 200: 1-6

    p211: 1-13
    A3 Polynomial algebra (Review!)

    A5 Polynomial Division    		 7-28

    7-29    		 p 1012: 3, 11,19,23,27,35 ,39,47, 63

    p 1028: 1-5, 19-21, 23, 24
    3.7  pp245-247(remainder and factor theorems) 7-29 p257:1-5,73 
    3.7 p248-251 (rational and real roots) 7-30 p257: 11-17 odd, 29, 53
    3.3 pp203-205 (zeroes and multiplicity on graphs) 7-29 p211 : 17, 18, 19-25odd (a,b only), 65
    3.7 pp255-6 7-31 p258: 33,35,63, 65
    3.8  7-31 p263:1-5 odd, 11, 17, 35, 36
    3.4  7-31
    READ ONLY
    8-4- Do Problems    		 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
    2.1 8-4 p99: 73-79, 83,85
    2.3  8-4 p 123: 25-35 odd; 59-65 odd
    2.5 8-5 p145: 1-12, 23, 41, 51, 63ef
    4.1 inverses 8-6? p284: 1-5,9-11, 15-17, 21-25odd,31-39 odd
     1.5
    3.5    		 8-5 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
    Back to Martin Flashman's Home Page :)
    Back to HSU Math. Department :}