PRECALCULUS NOTES and TESTS
(ALGEBRA NOTES and TRIG NOTES;
ALGEBRA TESTS and TRIG TESTS)
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WEBSITE COMMENTS: Link
to these web pages, not individual pdf files! I am always revising these notes;
I need to revise the page references after Chapter 1. These course notes are
currently keyed to Larson's Precalculus, but they can stand alone, and they will be formed into an independent
book (complete with exercises) later. The revolutionary "Frame
Method" for graphing trig functions was inspired by Tom Teegarden and Karl
Smith's Trigonometry text.
Suggestions are welcome! - Thanks
Ken Kuniyuki (B.S., M.S. Stanford / M.A. UCSD),
Professor: San Diego Mesa College.
Email me
website (other classes; general Mesa
College info).
For attribution,
simply mention my name and/or web URL somewhere if youre using huge chunks of
the notes. I simply want due credit.
PRECALCULUS COURSE
WEBSITE: Click here
TRIG IDENTITIES HANDOUTS:
Handout #1 (Basic
IDs)
Handout #2
(Advanced IDs)
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TUTORING SITES:
http://www.tutorvista.com
online
tutoring
http://www.akaritutoring.com
online
tutoring
http://www.ziizoo.com
like Google for tutors
OTHER RESOURCES:
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EXERCISES
(CONTINUALLY REVISED)
#1-A: HW
Answers
(Ch.0 in my notes) (9 points)
(revised 1/19/12)
#1-B: HW
Answers
(Ch.1) (6 points)
(revised 1/19/12)
#2: HW
Answers
(Chs.2 and 3) (15 points)
(revised 8/3/11)
#3: HW
Answers
(Ch.4) (15 points)
(revised 1/19/12)
#4: HW
Answers
(Chs.5 and 6) (15 points)
(revised 1/19/12)
#5: HW
Answers
(Chs.7-10) (25 points)
(revised 1/19/12)
Longer version
(sections not called additional): HW
Answers
PolarGraphPaper (may help)
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ALGEBRA NOTES
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Chapter 0: Preliminary
Topics (2-page intro + 99 pages)
BIG
FILE: Chapter 0
SMALLER
FILES (if you cant get the big file):
Sections 0.1-0.5
Sections 0.6-0.10
Sections 0.11-0.16
Factoring
"Handout"
This is already
part of the notes (in Section 0.7), but here's a separate file. Factoring.pdf
Chapter 1: Functions
(167 pages)
BIG
FILES: Sections
1.1-1.4
Sections 1.5-1.11
SMALLER
FILES (if you cant get the big files):
Sections 1.1-1.2
Sections 1.3-1.4
Sections 1.5-1.7
Sections 1.8-1.9
Sections 1.10-1.11
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Old Versions of
Chapters 0 and 1
Preliminaries:
(3-page intro + 44 pages)
Factoring
"Handout"
This is already
part of the notes, but here's the handout as a separate file. Section A.3:
Factoring problems: Factoring.pdf
Chapter 1:
Functions and Their Graphs (108 pages)
Sections 1.1, 1.2, and 1.3 in
Larson:
Rectangular
Coordinates; Graphs of Equations and Circles; Graphs and Lines
Section 1.4 in Larson:
Functions
Sections 1.5 in
Larson: Analyzing Graphs of Functions
Section 1.6 in Larson: A
Library of Parent Functions
Section 1.7 in Larson:
Transformations
Section 1.8 in Larson:
Combining Functions
Sections 1.9 and 1.10 in Larson:
Inverse Functions; Mathematical Modeling and Variation
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Chapter 2: Polynomial
and Rational Functions (about 82 pages)
BIG
FILES: Sections
2.1-2.4
Sections
2.5-2.7
SMALLER
FILES (if you cant get the big files):
Section 2.1 in Larson:
Quadratic Functions (and Parabolas)
Section 2.2 in Larson:
Polynomial Functions of Higher Degree
Section 2.3 in Larson: Long and
Synthetic Polynomial Division
Section 2.4 in Larson: Complex
Numbers
Section 2.5 in
Larson: Finding Zeros of Polynomial Functions
MINOR CORRECTION:
Section 2.5, Notes
2.55: Factor
over C and find all
of its complex zeros.
Section 2.5, Part 3 (New!
The QF Method for Factoring Quadratics)
Section 2.6 in Larson: Rational
Functions
Section 2.7 in Larson:
Nonlinear Inequalities
Chapter 3: Exponential
and Log Functions (40 pages)
BIG
FILE: Chapter 3
SMALLER
FILES (if you cant get the big file):
Section 3.1 in Larson:
Exponential Functions and Their Graphs
Section 3.2 in Larson: Log
Functions and Their Graphs
Section 3.3 in Larson: (More)
Properties of Logs
Sections 3.4 and 3.5 in Larson:
Exponential and Log Equations and Models
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TRIG NOTES
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Chapter 4: Trigonometry
(Intro) (93 pages)
BIG
FILES: Sections
4.1-4.4
Sections
4.5-4.6
Sections
4.7-4.8
SMALLER
FILES (if you cant get the big files):
Section 4.1 in Larson:
(Angles); Radian and Degree Measure
Sections 4.2-4.4 in
Larson: Trig Functions (Values and Identities)
Visualizing the
Six Basic Trig Functions
http://www.kkuniyuk.com/TrigSixParts.pdf
(corrected late 2/11/06)
Section 4.5 in
Larson: Graphs of Sine and Cosine Functions
Section 4.6 in
Larson: Graphs of Other Trig Functions
Section 4.7 in Larson: Inverse
Trig Functions
Smaller files for
older computers:
Section 4.8 in Larson:
Applications
Chapter 5: Analytic
Trig (61 pages)
BIG
FILES: Sections
5.1-5.3
Sections
5.4-5.5 and IDs
SMALLER
FILES (if you cant get the big files):
Section 5.1 in Larson: Fundamental Identities (IDs)
Section 5.2 in Larson: Verifying Trig IDs
Section 5.3 in
Larson: Solving Trig Equations
Sections 5.4 and 5.5 in Larson: More Trig Ids
Handout #1 (Basic
IDs)
Handout #2
(Advanced IDs)
Chapter 6: Additional
Topics in Trig (38 pages of primary notes)
BIG
FILE: Chapter 6
SMALLER
FILES (if you cant get the big file):
Section 6.1 in Larson: The Law of Sines
Section 6.2 in Larson: The Law of Cosines
Flowchart for
Sections 6.1 and 6.2 (better for
practical use than actual "memorization")
Section 6.3 in Larson: Vectors in the Plane
Section 6.4 in Larson: Vectors and Dot Products
Section 6.5 in Larson: Trig Form of a Complex Number
Related
"Handout" (not handed out
in class, though; print it!
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MORE ALGEBRA NOTES; LINEAR ALGEBRA NOTES
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Chapter 7: Systems and
Inequalities
BIG
FILE: Chapter 7
SMALLER
FILES (if you cant get the big file):
Sections 7.1-7.3 in Larson: Systems of Equations
Section 7.4 in
Larson: Partial Fractions
Sections 7.5-7.6 in Larson: Graphing Inequalities and
Linear Programming
Chapter 8: Matrices and
Determinants
BIG
FILE: Chapter 8
SMALLER
FILES (if you cant get the big file):
Section 8.1 in Larson: Matrices and Systems of
Equations
Smaller files for
older computers:
Section 8.2 in Larson: Matrix Operations
Section 8.3 in Larson: Matrix Inverses
Section 8.4 in Larson: Determinants
Section 8.5 in Larson: Applications of Determinants
Chapter 9: Discrete
Math
BIG
FILE: Chapter 9
SMALLER
FILES (if you cant get the big file):
Sections 9.1 and 9.6 in Larson: Sequences, Series,
and Counting
Sections 9.2 and 9.3 in Larson: Arithmetic and
Geometric Sequences, Partial Sums, and Series
Section 9.4 in Larson: Mathematical Induction
Section 9.5 in Larson: Binomial Theorem
The Beauty of
Pascal's Triangle
The Magic of Pascal's Triangle (Plinko from The
Price is Right and Word Jumbles)
Chapter 10: Conics and
Polar Coordinates (handwritten; in progress)
BIG
FILE: Chapter 10
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PRECALCULUS TESTS
(ALGEBRA TESTS and TRIG TESTS)
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Exams and Solutions (Fall 2011) –
will be replaced in August 2012 (?)
See Math 141 course
site for current exams: Click
here
Quiz 1A (Ch.0 in my notes)
Solutions (1 hour and 15 minutes)
Quiz 1B (Ch.1 in my notes)
Solutions (45 minutes)
Midterm #2 (Chs.2 and 3)
Solutions (35 minutes for Part 1; 1 hour and 35
minutes for Part 2)
Midterm #3 (Ch.4)
Solutions
(30 minutes for Part 1; 1 hour and 40 minutes for Part 2).
Midterm #4 (Chs.5 and 6)
Solutions (40 minutes for Part 1; 1 hour and 30
minutes for Part 2)
Final (Chs.7-9; 10 was skipped in Fall 2011)
Solutions (2 hours and 20 minutes).
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Email me
website (other classes, resources)