Honors Math III

Even as the finite encloses an infinite series,
   And in the unlimited limits appear,
So the soul of immensity dwells in minuta
   And in the narrowest limits, no limits inhere.
What joy to discern the minute in infinity!
   The vast to perceive in the small, what Divinity!

Jacob Bernoulli




62603_25715_7.png 62603_24923_0.png   62603_25054_1.png62603_25212_2.png62603_25512_5.png62603_25643_6.png62603_25812_8.png62603_30631_11.png
Women Mathematicians


Class Requirements & Policies
Course Content

HOMEWORK
*(dates are day the hw is assigned; hw is due the following class)

Chapter One: Functions Lines and Change
*(dates are day the hw is assigned; hw is due the following class)

Sept 8/9
Summer Coursework Questions
Study for Prereq Exam
Sept  12/13
Prerequisite Exam   
Sept 14/15
Sec. 1.2: Functions
Sec. 1.3: Graphs of Functions
LAB  pg 27 #76, pg 40 #90,  pg 48 #14  DUE SEPT 30/Oct 3
Problems pgs 24-29: 1-4,7,13,15,33,51,53-65 odd, 85,87,89,91,
Study pgs 30-37 & 42-47
Problems pgs 38-40: 1-4,16,17,21-23,25,33,43, 59-65 odd, 73-81 odd, 89,93
pgs 48-49: 1,3,5

Sept 16/19
Sec. 1.4: Shifting, Reflecting, & Stretching Graphs & Sec 1.5: Combinations of Functions
Study pgs 51-57
Problems pgs 48-50: 7,9,11,15-20,33-36,43,45,53,56,58
pgs 58-59:  1,7,19,29,35-41 odd, 61-65, 89
Sept 20/21
PARENT FUNTION QUIZ!
Transformation and Composition Review
Worksheet
Sept  22/23
Sec 1.6: Inverse Functions & Sec 1.5: Combinations of Functions
Study pgs 62-68
Problems pgs 60-61: 78,80,93,99
pgs 69-72: 9,11,13,15,21-25,29,31,33,37,59,61,79,81-87 odd,107,108
Sept 26/27
Chapter Review
Problems pgs 84-88: 19,23,27,29,33-47 odd 51,53,55,63,68,69,75,76,77,81,83,85
93,97,107,111,121,123,125,133
Sept 28/29
Chapter 1 Exam
LAB DUE Sept sept 30th/oct 3rd

Chapter Two: Polynomial and Rational Functions

Sept 30/Oct 3
Sec 2.2 Polynomial Functions of Higher Degree
LAB DUE!!
study pgs 103-111
Problems pgs 112-115 #'s 1-8,23,29,33,36,
42,45,48,50,51,69,71,87,88,91,115,117
Oct 4/5
Sec 2.3 Real Zeros of Polynomial Functions
study pgs 116-126
Problems pgs 127-130 #'s 1,3,15-17,35 (a,b),41,43,49,50,53,55,57,93,99
Oct 6/7
Quadratic polynomials
pgs 99-101 #'s 7,13,21,49,51,53,55,59,75
Oct 11/12
Sec 2.6 Rational Functions & Asmyptotes
LAB ASSIGNMENT:  
PG 101 # 60, PG 177 #'s 154 and 158
study pgs 146-151, 156-160
Problems pgs 152-154 #'s 1a,5a, 7-12,13(a,b),15(a,b), 17(a,b), 27-31,37,39,43
page 161 #'s 9-21 odd
Oct 13/14
Sec. 2.7 & Chapter Two Review
problems pgs 173-178 #'s 1,3,13,15,17,21,25,26,27,31,35, 45,57,59,61,63,65,69,71,75,83,105,111,125-133 odd, 139,141,145,147
Oct 17/18
Chapter 2 Exam
Finish Lab  LAB DUE Oct 24/25

Chapter Three: Exponential and Logorithmic Functions

Oct 19/20
Sec 3.1 Exponential Functions and Their Graphs
LAB DUE Oct 24/25
study pgs 184-192
pgs 193-195 #'s 1-5,9,13-18,23,45,47,66,67,69,85
Oct 21/24
Sec. 3.2 Logarithmic Functions
study pgs 196-202
Problems pgs 203-205 #'s 1,3,7,9,11,13,15,21,25,26,
27,31,33,37,47,49, 53-56,63,68,70,84,91,99,100,107,109
Oct 25/26
Applications of Exponential and Logarithmic Functions
LAB pg 223 #'s 134, 148, pg 233 #'s 28, 30
pgs 194-195 #'s 65,68,71,78,79,81
pgs 205-206 #'s 93,95,96,97,98,117,119,
Oct 27/28
Sec 3.3 Properties of Logarithms
pgs 211-214 #'s 1,5,9,11,37-47 odd, 59,67,73,75,81-93 odd,96
Oct 31/Nov 1
Sec. 3.4 Solving Log/Exp Functions
pg 221 #'s 1,5,9,17,25,27,29-71 every other odd, 81,91.93,101,103,123,125,129,137
Nov 2/3
Review
pgs 247-251 #'s 1,5,9,10,11,12,13,17,19,25,27,37,39,41,43,45,47,57,65,77,85,
91,99,103,105,115,117,123,127,129,131,133,137,138,147
Nov 4/7
Exam
Lab Due Nov 10/14


Chapter Four: Trigonometric Functions
Nov 8/9     LAB DUE
No Homework
Nov 10/14  
Sec. 4.3 Right Triangle Trigonometry
pgs 284-287 #'s 1-5,9,11,43,45,57,61,63,64,67-77 odd, 79,81,85,87,89,
Nov 15/16
Sec 4.1 Radian and Degree Measure
pgs 265-268 #'s 1-57 odd, 71-87 odd,97,99
Nov 17/18
 Sec. 4.2 Unit Circle
pgs 274-276 #'s 1-29 odd, 31,37,43,45,51,65,69,73,75,77,92,97,99
Nov 21/22
Sec. 4.4 Trig Functions of Any Angle
LAB pg 296 #116, Pg 317 # 60, Pg 318 # 66, Pg 330 #90
pgs 294-295 #'s 3,7,11,13-16,19,23,26,29-36,41,56,64,77,83,87,89-93,97,113,122,124
Nov 28/29
Sec 4.5 Graphs of Sine and Cosine Curves
pgs 304-306 #'s 3-9 all,11,13,15,16,27,29,39,41,43,50,51,57,61,63,65,71,73,75  & graphing worksheet
nov 30/Dec 1
Sec 4.6 Graphs of Other Trig Functions
pgs 316-319 #'s 1,3,5,27,35,37,57,58,59,63,71,73,81
Dec 2/5
Sec 4.7 Inverse Trig Functions
pgs 327-329 #'s 1,3,5,10 a, c, 11 a,c, 17,21,23,25,29,33,47,51,55,57,67,82,85,86,100
Dec 6/7
Trig Review
pgs 344-345 #'s 1,3,27,31,35,45,49,57,61,65,77,79,85,89,101,107,111,113,115,123,127,135,145,159,
161,163,173,179
Dec 8/9
Chpter 4 Exam
Finish Lab

Chapter Five: Analytic Trigonometry

Dec 14/15
5.1 Fundamental Identities
pgs 357-358 #'s 3,5,11,21-27,29,30,31,34,39,41,51,67,69
pgs 365 #'s 4,5,6,25,29,31,76,
Dec 16/19
5.3 Solving Trig Equations
Pgs 376-78 #'s 1,25-49 odd,40,73,91,97,98,102,104
Dec 20/21
5.5 Multiple Angle Formulas
pgs 394-396 #'s 1-11 odd, 19-22,93,97,115,116,127
Jan 3/4
6.1 & 6.2 Law of Sines and Cosines
pg 414 #'s 1,7,19,20,25
pgs 421-422 #'s 3,9,11,12,29,31,38
Jan 5/6
6.3 Vectors
Lab pg 366 #'s 52, pg 376 #'s 40, 42
pgs 433-435 #'s 1-11 odd, 35,37,41,45,47,61,63,65,67,69,71,83
Jan 9/10
Exam Review
pg 400 #'s 1-4, 12,15,19,20,25,27,39,43,45,49,51,53,59,97,101,
pg 461 #'s 13,17,19,29,33,35
Jan 11/12
Unit Exam
Lab Due Jan 18/19

Linear Systems, Sequences, Series & Counting    

Jan 13/17
Systems of Linear Equations in Two Variables & Partial Fraction Decomposition
pgs 491-493 #'s 3,17,55-61 odd, 73,75    pgs 506-507 #'s 57, 59, 63-67 odd
Jan 18/19
LAB DUE TODAY Midterm Exam Review
pg 88 #'s 1,2,5,7,8,11,13,14,15,16c,17,19
pg 179 #'s 3,5,6,7,8,10,19,20,21
Jan 20/23
Midterm Exam Review
pg 252 #'s 1,3-27 all
253-54 #'s 5,6,8c,11,13,17,19,24,25,37,38,39,41,43,45
pg 349 #'s 1,3,6,7,9,10,18,19,23
Jan 24/25
Midterm Exam Review
pg 403 #'s 1,2,4,7,8,12,18,19,20,21,24
pg 465 #'s 8,9,14
pg 466 #'s 4,7,8,9,10,11,12,15,16,23,24
Feb 1/2
Sequences & Series
pgs 587-589 #'s 1.3.5.7.13.17.21.25,33, 39-42,43,45,47,53,57,60,
71-79 odd, 83,89,95,99,104,105-113 odd, 117
Feb 3/6
Arithmetic Sequences & Series
598-599 #'s 1,3,6,9,11,17,21,35,39,40,47,61,67-73 odd,81,83,87,91,94,95,97
Feb 7/8
Geometric Sequences & Series
607-609 #s 1,5,9,11,19,23,25,27,33,45,47,49,55-71 odd,77,87,89,99
Feb 9/10
Binomial Theorem
624-625 #'s 17,21,23,25,28,57,59,77,81,97,99
Feb 13/14
Exam Review
Review packet
Feb 15/16
Exam Review Cont...
pgs 651-653 #'s 3,5,9,11,13,17,25,26,27,29,31,33,35,37,39,45-83 odd,107,109,137,
Feb 17/21
Exam
Finish Lab  DUE NEXT CLASS

Parametric & Polar Equations & Limits

Mar 6/7
Parametric Equations
pgs 704-705 #'s 1-6,13,18,21,25,27,30,49,55
Mar 8/9
Polar Coordinates & Graphs of Polar Equations
pgs 711-712 #'s 3,5,37,43,45,47,57,61,81,83,85
pgs 720 #'s 23,24,25,27,33,45,47,55
Mar 12/13
Intro to Limits
pgs 788-789 #'s 1,3,11,13,15,19,21,23,25,30,31,32,33,53,69,71,
Mar 14
Review    LAB pg 800 # 86, Pg 808 # 16, #40 a, b (Use example #4 page 804 as a guide)
Mar 16/19
Evaluating Limits
pgs 798-799 #'s 2,5,7,17,19,23,29, 57,69,71,73,75,77,78
Mar 20/21
Limits at Infinity & Limits of Sequences
pgs 817-818 #'s 1-4 all, 9-27, odd,39-47 odd
Mar 22/23
Review
pgs 730-732 #'s 1,71,73,99,101,105,107,111,113,125,127
pgs 829-831 #'s 1-51, 53, 54, 55, every other odd, 79-85 all,87
Mar 26/27
Exam
Finish Lab DUE MAR 28/29

Limits and Introduction to the Derivitive

Mar 28/29
Algebra Review
Limits Review   LAB DUE
pgs 28-30 #'s 3,7,15,16,19,36,41,43,60,62  Pg 46 #'s 10, 11
Pgs 64-66 #'s 7,11,17,21,29 (a,b,c,d), 35,36,41-49 odd, 57-75 odd
Mar 30/Apr 2
Continuity & One Sided Limits  
pgs 75-78 #'s 1,2,4,7,17,18,21,27,28,35,37,39,43,49,55,57,69,
75,77,79,83,91,93
Apr 3/4
Infinite Limits, The Derivitive & Tangent Line, and Basic Differentiation and Rates of Change
pgs 84-85 #'s 1,2,11,15,23,25,35,36,48
pgs 98-100 #'s 1,2,9,11,13,15,17,23,27-32,45-57odd,61,62
110-12 #'s 11,33,35,39,43,48,50,69,70
Apr 5/6
Differentiation Rules: Power Rule, Product Rule, Quotient Rule
pgs 112 #'s 61,62,65,71,72,75,77,86,87,91
pgs 121 #'s 1-4,7,8,12,13-23 odd
Apr 9/10
Product Rule, Quotient Rule Cont  The Chain Rule
LAB pg 78 # 86, pg 111 # 56, pg 123 #90
Due May 1/2
pgs 121-123 #'s 27-45 odd, 47-49,51,55,57,59-62,66,70,71,73-77 od

Do Chain Rule homework next time...
Apr 11/12
Chain Rule
pgs 130-133 #'s 7,11,13,15,25,27,41,43,47,51,53,61,63,65-68,69,73 abc, 75,77,81d, 83,84
April 24/25
Implicit Differentiation
pgs 139-140 #"s 1-31 odd, 35,43 (find definition of normal line),45,47 (w/o calculator)
Apr 26/27
Review
pgs 150-151 #'s 1,2,3-33 odd, 43,44,45,47,53,55,57,59,65,67,68,74,75.
Apr 30/May 1
Review
review packet
May 2/3
Exam
Lab Due Next Class


Applications of Differentiation

May 4/5
Work on Lab  DUE NEXT CLASS
May 8/9
Related Rates
pgs 146 #'s 1-15 odd,17-21, 24,25,28-31,41,44
May 10/11
Extrema on an Interval
Pgs 160-162 #'s 1-7 odd, 8-12,17,21,22,29,35,53,54
May 14/15
Rolle's Theorem & Mean Value Theorem
Pgs 167-68 #'s 1-3,9,10,21,24,29-33,43,45,48
May 16/17
No Homework...
May 18/21
The First Derivative Test
pgs 176-77 #'s 4-7,10,11,15,19,25,29,30,46,47,48,49,50,52,54
May 22/23
The Second Derivative Test
pgs 184-185 #'s 5,6,9,13,15,19,21,22,25,27,31,42,43,45,49,51,54,61
May 24/25
Relating Graphs of f, f', and f''
Worksheet
May 29/30
Optimization Problems
pgs 210-212 #'s 3,7,9,11,13,15,16,21,25,35,41,46
May 31/June 1
Review
Worksheet
June 4/5
Review
pgs 146-147 #'s 22,33,37 pgs 235-237 #'s 1,3,6,7,11,13,17,19,53,56,79,81,83
June 6/7
Exam
Lab Due Next Class