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




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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  11
Summer Coursework Questions
Study for Prereq Exam
Sept 15
Prerequisite Exam
no homework
Sept 17
Sec. 1.2: Functions
Study pgs 16-23
Problems pgs 24-29: 1-4,7,13,15,33,51,53-61 odd, 85,87,89,91,
Sept 21
Sec. 1.3: Graphs of Functions
Study pgs 30-37 & 42-47
Problems pgs 38-40: 1-4,16,17,21-23,25,33,43,89,93
pgs 48-49: 1-11 odd, 15-20
Sept 23
Sec. 1.4: Shifting, Reflecting, & Stretching Graphs
Study pgs 51-57
Problems pgs 49-50: 33-36,43,45,53,56,58
pgs 58-59:  35-41 odd, 63-65
Sept 25
Sec 1.5: Combinations of Functions
Study pgs 62-68
Problems pgs 60-61: 78,80
pgs 69-72: 11,15,21-24,29,31,33,37,59,61,106,107,108
Sept 29
Chapter Review
Problems pgs 84-88: 45,47,53,62,63,68,70,75,76,93,97,107
Oct 1
Chapter 1 Exam

Chapter Two: Polynomial and Rational Functions

Oct 5
Sec 2.2 Polynomial Functions of Higher Degree
study pgs 103-111
Problems pgs 112-115 #'s 1-8,15,17,19,23,29,
42,45,48,50,87,88,94
Oct 7
Sec 2.3 Real Zeros of Polynomial Functions
study pgs 116-126
Problems pgs 127-130 #'s 15-17,35 (a,b), 39,41,43,49,50,53,65,93
Oct 9
Sec 2.5 Fundamental Theorem of Algebra
study pgs 139-143
Problems pgs 127-130 #'s 18, 37 (a,b), 40, 51
pgs 144-145 #'s 9,17,23,69
Oct 16
Applications of Polynomial Functions
In class assignment
Oct 20
Sec 2.6 Rational Functions & Asmyptotes
study pgs 146-151, 156-160
Problems pgs 152-154 #'s 1a,5a, 7-12,13(a,b),15(a,b), 17(a,b), 27-31,39,43
page 161 #'s 9-21 odd
Oct 22
Sec. 2.7 & Chapter Two Review
problems pgs 173-178 #'s 1,3,9,13,15,17,21,23,24,25,26,27,31,35,37,57,59,61,63,65,69,71,75,83,91,105,106,111,125-133 odd, 139,141,145,147
Oct 26
Chapter 2 Exam Part One
Oct 28
Chapter 2 Exam Part Two

Chapter Three: Exponential and Logorithmic Functions

Nov 3
Sec 3.1 Exponential Functions and Their Graphs
study pgs 184-192
Problems pgs 161 #'s 33-37
pgs 193-195 #'s 1-5,9,13-18,45,47,66,67,69
Nov 12
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
Nov 16
Applications of Exponential and Logarithmic Functions
pgs 194-195 #'s 65,68,71
pgs 203-206 #'s 93,95,96,97,98
Nov 18
Sec 3.3 Properties of Logarithms
pgs 211-214 #'s 1,5,9,11,37-47 odd, 59,67,73,
81,83,85,96
Nov 20
Sec. 3.4 Solving Log/Exp Functions & 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


Chapter Four: Trigonometric Functions
Dec 1
Sec 4.1 Radian and Degree Measure
pgs 265-268 #'s 1-57 odd, 71-87 odd, 91,97,99
Dec 3
Sec. 4.2 Unit Circle
pgs 274-276 #'s 1-29 odd, 31,37,43,45,51,65,69,73,75,
Dec 7
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
Dec 11
Sec. 4.4 Trig Functions of Any Angle
pgs 294-295 #'s 3,7,11,13-16,19,23,26,29-36,41,49,56,64,77,
83,87,89-94
Dec 15
Sec 4.5 Graphs of Sine and Cosine Curves
pgs 304-306 #'s 3-7 all, 39,41,43,50,61,63,65,71,73,75
Dec 17
Sec. 4.5 continued
pgs 305-307 #'s 9,11,13,15,19,25,29,40,46,62,83,85
Dec 21
Sec 4.6 Graphs of Other Trig Functions
pgs 316-319 #'s 5, 7,9 27,57,58,59
Dec 23
Other Trig Functions cont. . .
Have a great holiday break!  
Jan 5
Sec 4.7 Inverse Trig Functions
pgs 327-329 #'s 1,3,5,10 a, c, 11 a,c, 17,47,51,55,57,67,82,85,86,100
Jan 7
Trig Review
pgs 344-345 #'s 1,2,3,27,31,35,39,41,45,49,55,65,
69,77,79,85,89,101,105,107
Jan 11
Trig Review cont. . .
pgs 346-349 #'s 111,113,115,120,123,127,131,133,141,159,
161,163,173,179,183
Jan 13
Chpter 4 Exam
Jan 19
Midterm Review
pg 88 #'s 1-19 all (for more practice do problems from chap 1 review)
Jan 21
Midterm Review
Jan 25
Midterm Review

Chapter Five: Analytic Trigonometry

Feb 2
5.1 Fundamental Identities
pgs 285 #'s 27-42, 49,51,53
pgs 357-358 #'s 3,5,11,21-27,30,31,35,41,67,69
Feb 4
5.3 Solving Trig Equations
pgs 365 #'s 4-6  Pgs 376-78 #'s 1,25,27,29,31,33,37,39,40,41,43,45,49,73,91,97,98,102
Feb 8
5.4 & 5.5 Sum & Difference , Multiple Angle, and Product to Sum Formulas
pgs 384-385 #'s 3,7,9,23,24,35,37
394-396 #'s 1,3-11 odd, 19,95,96,97,115,116
Feb 10
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
Feb 12
6.3 Vectors
pgs 433-435 #'s 1-15 odd, 35,37,41,45,61,67,69,71,81,83
Feb 17
Exam Review
pg 403 #'s 1-10, 12,13,18,19,20,22
pg 465 #'s 1,3,5,7,8,9,14,15
Feb 19
Unit Exam
Have a Great Vacation!!
Linear Systems, Sequences, Series & Counting    

Mar 2
Systems of Linear Equations in Two Variables
pgs 491-493 #'s 5,17,19,55-62 all, 75,77
Mar 8
Multivariable Linear Systems
pgs 506-507 #'s 57-60, 63-70
Mar 10
Sequences & Series
pgs 587-589 #'s 1.3.5.7.13.17.21.25,33, 39-42,48,49,52,57,60,
71-79 odd, 83,89,95,99,104,105
Mar 12
Algebra Review
pgs A59-A62 #'s 6,25,27,33,35,39,43,45,60,67,76,85,95,115,121,131,133,151,
169,177
Mar 16
Arithmetic Sequences & Series
598-599 #'s 1,3,6,9,11,17,21,35,39,40,47,61,67,81,83
Mar 18
Geometric Sequences & Series
607-609 #s 1,5,9,11,19,23,25,27,33,45,47,49,5-71 odd,88,89
Mar 22
Binomial Theorem
624-625 #'s 1,3,5,9,13,17,21,23,25,28,57,59,65,77,81
Mar 24
Exam Review
pgs 403 #'s 19
pgs 433 #'s 9,15,17,21,39,61,69
pgs 571 #'s 51,52,55
pgs 651-653 #'s 3,7,9,17,25,26,27,35,37,39,45,49,57,67,68,73,77,79,81,83,
97,99,107,109
Mar 26
Exam

Parametric & Polar Equations & Limits

Mar 30
Parametric Equations
pgs 704-705 #'s 1-6,13,18,21,25,27,30,49
Apr 1
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
Apr 5
Intro to Limits
pgs 788-789 #'s 1,3,11,13,19,21,25,30,31,32,33,53,69
Apr 7
Evaluating Limits
pgs 798-799 #'s 2,5,7,17,19,23,29, 69,71,73,75
Apr 9
Limits at Infinity & Limits of Sequences
pgs 817-818 #'s 1-4 all, 9-21 odd
Apr 13
Review
pgs 730-731 #'s 1,71,73,99,101,105,107,111,113,125,127
pgs 829-831 #'s 1-53 odd, 79-85 all
Apr 15
Exam

Limits and Introduction to the Derivitive

Apr 26
Algebra Review
Limits Review
pgs 9-10 #'s 1-5,11-17 odd, 39-47 odd, 51        pgs 17-19 #'s 2,5,7,9,21,25,37,41,43
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), 35,41-49 odd, 57-71 odd, 89,90
Apr 28
Continuity & One Sided Limits
pgs 75-78 #'s 1,2,7,9,17,18,21,27,28,35,37,39,43,49,55,57,75,77,79,83,91,93
May 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
May 10
Differentiation Rules: Power Rule, Product Rule, Quotient Rule
pgs 112 #'s 71,72,75,77,86,87,91
pgs 121 #'s 1-8,12,13-23 odd
May 14
Product Rule, Quotient Rule Cont
pgs 121-123 #'s 27-45 odd, 47-49,51,55,57,59-62,66,70,71,73-77 odd, 83,84
** Test Booster:  pg 85 #'s 50, 52  pg 99 #'s 12, 64
May 18
The Chain Rule
pgs 130-133 #'s 7,11,13,15,25,27,41,43,47,51,53,61,65-68,69,73 abc, 81,84
may 20
Implicit Differentiation
pgs 139-140 #"s 1-31 odd, 43,45,47
May 26
Review
pgs 150-151 #'s 1,3,5,7,11,15,17,19,21,23,25,27,31,33,
44,45,47,53,55,59,65,67,68,74,75.
May 28
Exam


Applications of Differentiation

Jun 2
Related Rates
pgs 146 #'s 1-15 odd,17-21, 24,25,28-31,41,44
Jun 4
Extrema on an Interval
Pgs 160-162 #'s 1-7 odd, 8-12,17,21,22,29,35,
Jun 8
Mean Value Theorem & the First Derivative Test
Pgs 167-68 #'s 1-3,9,10,21,29-32
pgs 176-77 #'s 4-7,10,11,15,19,25,29,30,47,48,49,50,54
Jun 10
Review
Take home exam
Jun 14
Review
Jun 16
Review