PC Honors Notes
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 I … Part 3: Basic Algebra II … 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: Part 1 … Part 2 … Part 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 ---------------------------------------------------------------------------------- • Chapter 2: Polynomial and Rational Functions (about 82 pages) BIG FILES: Sections 2.1-2.4 … Sections 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 1 … Part 2 … Section 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 -------------------------------------------------------------------------------------------------------- TRIG NOTES -------------------------------------------------------------------------------------------------------- • Chapter 4: Trigonometry (Intro) (93 pages) BIG FILES: Sections 4.1-4.4 … Sections 4.5-4.6 … Sections 4.7-4.8 … Handout #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 1 … Part 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 1 … Part 2 Section 4.6 in Larson: Graphs of Other Trig Functions: Part 1 … Part 2 Section 4.7 in Larson: Inverse Trig Functions Smaller files for older computers: Part 1 … Part 2 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 (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 1 … Part 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 -------------------------------------------------------------------------------------------------------- MORE ALGEBRA NOTES; LINEAR ALGEBRA NOTES -------------------------------------------------------------------------------------------------------- • 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 1 … Part 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 1 … Part 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 -------------------------------------------------------------------------------------------------------- PRECALCULUS TESTS (ALGEBRA TESTS and TRIG TESTS) -------------------------------------------------------------------------------------------------------- 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 0.1-0.5 … Sections 0.6-0.10 … Sections 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 1.1-1.4 … Sections 1.5-1.11 SMALLER FILES (for faster download): 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 |