PC Honors Notes

PC Honors Notes

These are the notes from the latest textbook series.





For more detailed notes - see the below downloadable PDF files.
These are the notes from the latest textbook series.

The below notes are from Professor Ken Kuniyuki's Web Page and they follow along with our material. 

• Old Versions of Chapters 0 and 1

Preliminaries: (3-page intro + 44 pages) Part 1: Logic Part 2: Basic Algebra IPart 3: Basic Algebra IIFactoring "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: Part 1Part 2Part 3

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 2.1-2.4Sections 2.5-2.7

SMALLER FILES (for faster download):

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

Part 1Part 2Section 2.5, Part 3 (New! The QF Method for Factoring Quadratics)

• MINOR CORRECTION: Section 2.5, Notes 2.55: Factor … over C and find all of its complex zeros.

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 (for faster download):

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 4.1-4.4Sections 4.5-4.6 Sections 4.7-4.8Handout #1 (Basic IDs)

SMALLER FILES (for faster download):

Section 4.1 in Larson: (Angles); Radian and Degree Measure

Sections 4.2-4.4 in Larson: Trig Functions (Values and Identities): Part 1Part 2

Basic Trig IDs (handout in class): Basic Trig IDs (also in 5.1 notes)

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: Part 1Part 2

Section 4.6 in Larson: Graphs of Other Trig Functions: Part 1Part 2

Section 4.7 in Larson: Inverse Trig Functions

Smaller files for older computers: Part 1Part 2

Section 4.8 in Larson: Applications

• Chapter 5: Analytic Trig (61 pages)

BIG FILES: Sections 5.1-5.3Sections 5.4-5.5 and IDs

SMALLER FILES (for faster download):

Section 5.1 in Larson: Fundamental Identities (IDs)

Basic Trig IDs (also in Ch.4, 5.1): Basic Trig IDs

Section 5.2 in Larson: Verifying Trig IDs

Section 5.3 in Larson: Solving Trig Equations: Part 1Part 2

Sections 5.4 and 5.5 in Larson: More Trig Ids

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 (for faster download):

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"): M1410601Chart.pdf

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!): M1410605Handout.pdf

Khan Academy on Euler’s Formula (Do you have emotion?)

https://www.youtube.com/watch?v=mgNtPOgFje0

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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 (for faster download):

Sections 7.1-7.3 in Larson: Systems of Equations

Section 7.4 in Larson: Partial Fractions: Part 1Part 2

Sections 7.5-7.6 in Larson: Graphing Inequalities and Linear Programming

• Chapter 8: Matrices and Determinants

BIG FILE: Chapter 8

• CORRECTIONS: Page 8.58 (top): Pierre [not George] Sarrus. Page 8.60 (middle): “lower left [not right] corner.”

SMALLER FILES (for faster download):

Section 8.1 in Larson: Matrices and Systems of Equations

Smaller files for older computers: Part 1Part 2

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 (for faster download):

Sections 9.1 and 9.6 in Larson: Sequences, Series, and Counting

• FIBONACCI SCULPTURE: http://sfglobe.com/2015/01/14/3d-printed-sculptures-look-alive-when-spun-under-a-strobe-light/

Sections 9.2 and 9.3 in Larson: Arithmetic and Geometric Sequences, Partial Sums, and Series

• QIX AND FILLING IN A BOX (GEOMETRIC SERIES TALK)

• Sample game: https://www.youtube.com/watch?v=Wvzyd0OZg1I

• Winner! (2x) https://www.youtube.com/watch?v=RGSPj3vlR6M

Section 9.4 in Larson: Mathematical Induction

• THE HEART OF INDUCTION: https://www.youtube.com/watch?v=p_E3feHZtZM

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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Old Exams and Solutions (Spring 2016) – will be deleted in January 2017 (?)

Quiz 1A  Solutions (1 hour and 15 minutes)

• Chapter 0: Preliminary Topics

Quiz 1B  Solutions (45 minutes)

• Chapter 1: Functions

Midterm #2  Solutions (50 minutes for Part 1; 1 hour and 20 minutes for Part 2)

• Chapter 2: Polynomial and Rational Functions

• Chapter 3: Exponential and Logarithmic Functions

Midterm #3  Solutions (30 minutes for Part 1; 1 hour and 40 minutes for Part 2)

• Chapter 4: Trigonometry

Midterm #4  Solutions (45 minutes for Part 1; 1 hour and 25 minutes for Part 2)

• Chapter 5: Analytic Trigonometry

• Chapter 6: Additional Topics in Trigonometry

Final  Solutions (2 hours and 20 minutes). Material covered in later terms may differ.

• Chapter 7: Systems of Equations [and Inequalities]

• Chapter 8: Matrices and Determinants

• Chapter 9: Discrete Math

• Chapter 10: Conics and Polar Coordinates [as time permits]



Front Matter, Notation, and Chapter 0: Preliminary Topics (99 pages)


BIG FILE: Chapter 0 (revised 1/27/13)

SMALLER FILES (for faster download): Sections 0.1-0.5Sections 0.6-0.10Sections 0.11-0.16

Factoring "Handout": Factoring.pdf: This is already part of the notes (in Section 0.7), but here's a separate file.

• CORRECTED ON 1/27/13: On the bottom of page 0.2.2, when the converse is declared to be false, Z and Q should be switched.

• Chapter 1: Functions (167 pages)

• CORRECTION to 1.2.3! In the middle of page 1.2.3, -9 (instead of 9) is not in the domain of f.

BIG FILES: Sections 1.1-1.4Sections 1.5-1.11

SMALLER FILES (for faster download): Sections 1.1-1.2Sections 1.3-1.4Sections 1.5-1.7Sections 1.8-1.9Sections 1.10-1.11



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