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 precalculus 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 :)
Reality Quizzes 17 Best 6 scores  600 points 
Reality Quiz 8  100 points 
Homework  100 points 
Final Examination  400 or 600 points 
Total  1200 or 1400 points 
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.





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 FunctionsCore 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  OnBlackboard 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 exponentssolving
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 logssolving 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 formulaedouble 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. PreCalculus!  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 loglog scales. 
Final Exam Part I
(40 minutes on Log and exponential functions.) 
Final Exam Part II (80 minutes with very little from Part I) 
Reading 


Special Instructions & Interesting but Optional 
1.4  63  p43: 1325 odd  
63  Read Sensible Precalc Ch 1.A  
1.5  64  p56: 1359 odd  Read Sensible Precalc Ch 1.B.1 
Ch 1.B.1  65  Ch 1.B.1: 1(a,b), 37, 10, 14  1c, 2, 16 
A.1  65  7,10,13,...43, 46  Every 3rd problem. 
A.2
Similar Triangles 
69  Read only  
A.3.  69  3,11,19,27,39,47  
1.4  69  31,41, 89  
1.1  69 
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 straightline distances.
c. determine and plot the midpoint 

610 
p19:
1, 5, 7, 8, 13, 19, 23


Sensible Precalc Ch 1.B.2  610  Read!  

610 
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. 

611 
p96:
13abc, 15abc, 47, 85, 80



611 
p108:
1, 3, 5, 7, 31



611  p73:2733 odd; 89,93  

612  p 111: 33, 35  

612  p 96: 61, 63, 67, 69  

612  p 1064: 1,7,25,31,33,36  

612  p536: $$(14) 


616  Do the reading FIRST! p123: 25,28,35  

616  p 1064: 4146, 53,57  

616  p536: 58, 21, 23, 35, 41  

617  p536: 22,26,27, 37, 42, 43, 47, 52  

618  p536: 31,33, 39, 49, 57, 61  

617  p122: 11, 13, 14, 15, 17  

618 
p57:
7385 odd



619  p132: 18,15,16,19,27  
7.2 pages 539542  617  p 547: 13, 5, 15, 29, 33  
7.2 pages 543546  618  p 547: 9,11,13,17,23, 24, 31,39  
NO SPECIFIC READING  619  p411: 1  7odd,1723 odd  

623  p379: 1 35 odd  

623  p 395: 1,3,7, 9 12, 23,29, 39, 43  

624  p555: 13, 25  

625  p555: 7, 13, 21, 27, 28, 31  

624  p 297: 13  

625  p 297:4, 5, 7, 9, 1118,37, 38, 65 See $$ for 1922,25.  $$ For 1922,25:Ignore the text instruction. For each function make a table of values, a transformation figure, and a graph. 

626  p298: $$2934, 42, 61  $$ For 2934:Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph. 

625  p335: 1, 3,5, 7, 9, 21, 25, 27, 11  
4.3 pp301304  626  p310: 1, 11, 13, 19, 24, 27, 31, 35, 36  
4.3 pp307308  630  p310: 25,26,2830,3739,42,43,47,48
8588, 97,99 

5.4  630  p 426: $$ (13,17, 21), 3947  $$ 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 3189 

p311: 8994, 101, 103,111
p321: 61, 62 

5.1 pp 372377  72  p379: 3739, 4547, 53, 55  
5.1 p377378  73  p380: 81, 85,87,89,97,99  
4.4 pp313317,320  73  p321:3, 5, 6, 9, 25, 31, 39, 45, 51  
4.6 pp331335 (New 7203)  73  p336: 11,29,37,47  
4.4  77  p321: 75, 77, 79  
4.5 & 4.3 pp307309  77  p311: 85, 87, 91, 93; p327: 1, 5, 9, 11, 12  
4.5  78  p311: 98; p327: 17, 19, 21, 23, 29; 13, 15  
4.5  78  p327: 3, 14, 49, 53  
4.7  78  p347: 1, 2, 3  
4.7  78  p347: 5, 9, 11  
4.7  710  p347: 4, 12a,b,c, 13a,b,c, 15a  
REVIEW  p361: 11,1316, 2124,27,31,33,35,39,$$(43,51), 53,59,79,83  $$ For 43 and 51: Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph.  

79  p 426: 110, $ (2933 odd), $$( 15, 24, 53)  $ For 2933 odd :Ignore the text instruction.
Graph each function.
$$ For 15, 25, and 53: Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph. 

79  p435: 110; 19, 21, 23, 35  
5.2 pp393394  79  p396: 7375  
5.3 pp399404;409410  710  p411:4953; 103104  

714  p452:111 odd, 47, 48, 59, 60, 79, 83, 85
p574: 19, 21, 51 

5.6: pp437440 
714  p446: 1,3,13, 17  
6.7 
715  p468: 111 odd, 1315, 45, 47
p511: 15 

6.2 
716  p468: 2527, 3335,49
p474: 19odd; 13,19 


716  p 511: 1119 odd, 3537  

717  p 480: 110
p474:29, 33, 37 


721  p 491: 14, 1321 odd  Look at This PAGE on the web! 

721  p 480: 11,14,17,20,...,41 (every 3rd problem), 81, 85  
6.3  722  p480: 51, 54, 57,... , (every 3rd problem) ,78  
6.5 pp 494. Example 1 only!  721  p501: [1,2, 7] DO a and b only.  
6.5. pp498500  722  p501: [1,2,7] DO c and d only. 13,14, 51,53, 59, 60  
6.4  723  p 491: 23,24,31,32,41  
6.4, 6.5  723  p 491: 7, 43, 53, 55, 59, 81
p 501: 15, 45, 67 
87 (optional) 
6.6 pp503504  724  p505:1,2  
6.8 pp513514  724  p518: 1, 3,4,7  
3.1 pp174182  724  p189: 18, 9,11,13,15,2528  
3.1 pp182187  728  p 189: 31,33,37,43,49,53,55,65, 69,73,81  
3.2 pp 195198 middle
3.3 pp 201208 
728
729 
p 200: 16
p211: 113 

A3 Polynomial algebra (Review!)
A5 Polynomial Division 
728
729 
p 1012: 3, 11,19,23,27,35 ,39,47, 63
p 1028: 15, 1921, 23, 24 

3.7 pp245247(remainder and factor theorems)  729  p257:15,73  
3.7 p248251 (rational and real roots)  730  p257: 1117 odd, 29, 53  
3.3 pp203205 (zeroes and multiplicity on graphs)  729  p211 : 17, 18, 1925odd (a,b only), 65  
3.7 pp2556  731  p258: 33,35,63, 65  
3.8  731  p263:15 odd, 11, 17, 35, 36  
3.4  731
READ ONLY 84 Do Problems 
p224: 17 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 online about Complex Numbers or App.7 
2.1  84  p99: 7379, 83,85  
2.3  84  p 123: 2535 odd; 5965 odd  
2.5  85  p145: 112, 23, 41, 51, 63ef  
4.1 inverses  86?  p284: 15,911, 1517, 2125odd,3139 odd  
1.5
3.5 
85  p. 57: 67, 69
p 234: 1,9, 27 

Review  p167: 13,7,18,19, 23,29,35, 61,65,67  
Review for Final  p 580: 1,3,4,5,6,8,9,11,12,13  
5.4 p419425  p427: 4956; 6365; 85,86  
2.5  p145: 1722, 25ab, 33, 37, 39, 55, 63abcd  

p189:
18, 25, 29, 33, 35, 37, 73



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



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



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