(Chapter 9: Discrete Math) 9.01
CHAPTER 9: DISCRETE MATH
Calculus tends to deal more with continuous mathematics than discrete mathematics.
What is the difference? Analogies may help the most. Discrete is digital; continuous is analog.
Discrete is a dripp
U.S. History Honors - Gilded Age Essay
Answer one of the following questions in a 3-4 page essay (double spaced, 12 point font, Times New Roman).
Evidence should come from class materials (NO outside sources); include parenthetical citations.
A. Consider
Listening: Chapter 7
Modified from the notes of Catherine Gragg with
permission and my deep gratitude.
Professor Duren
1
LISTENING - MORE THAN MEETS THE
EAR
Listening easily qualifies as the most important
kind of communication.
College students spend 55%
Brandon Jones
Adulthood
When talking about adulthood, people transition much faster than others, depending on
their community, culture, or they just simply grow up faster. Some events in my life that helped
me transition, was getting my first job, getting
Brandon jones
12-10-14
3rd
What is Lady Macbeths ultimate role in the downfall of her husband?
Lady Macbeth essentially pushes Macbeth to do what he would not have
been able to do on his own. Lady Macbeth manipulates him to get him to do what
she needs hi
Zeros of Polynomial Functions
This figure shows the Zeros of Polynomial Functions on graphs of functions with degrees
ranging from 1 and 8 and leading coefficients from 5 to +5. The eight features of this interactive
figure are noted below.
1. Degree Move
Trigonometry Lecture Notes
Section 5.2
Page 1 of 4
Section 5.2: Verifying Trigonometric Identities
Big Idea: Verification of an identity is when someone gives you an answer, and you have to
show that the answer is true. Identities are be used to verify ot
Suwannee District - (2012-2013)
Algebra 1
Curriculum Unit Mapping Plan (August to June)
Standards that are underlined are required by Florida Department of Education.
The asterisks (*) will represent standards that are NOT required for the course but will
(Section 8.1: Matrices and Determinants) 8.01
CHAPTER 8: MATRICES and DETERMINANTS
The material in this chapter will be covered in your Linear Algebra class (Math 254 at Mesa).
SECTION 8.1: MATRICES and SYSTEMS OF EQUATIONS
PART A: MATRICES
A matrix is ba
(Sections 7.1-7.3: Systems of Equations) 7.01
CHAPTER 7: SYSTEMS AND INEQUALITIES
SECTIONS 7.1-7.3: SYSTEMS OF EQUATIONS
PART A: INTRO
A solution to a system of equations must satisfy all of the equations in the system.
In your Algebra courses, you should
(Section 6.1: The Law of Sines) 6.01
CHAPTER 6: ADDITIONAL TOPICS IN TRIG
SECTION 6.1: THE LAW OF SINES
PART A: THE SETUP AND THE LAW
The Law of Sines and the Law of Cosines will allow us to analyze and solve oblique
(i.e., non-right) triangles, as well a
(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.1
SECTION 1.5: PIECEWISE-DEFINED FUNCTIONS;
LIMITS AND CONTINUITY IN CALCULUS
LEARNING OBJECTIVES
Know how to evaluate and graph piecewise-defined functions.
Know how to e
2.01
CHAPTER 2: POLYNOMIAL AND RATIONAL FUNCTIONS
SECTION 2.1: QUADRATIC FUNCTIONS (AND PARABOLAS)
PART A: BASICS If a, b, and c are real numbers, then the graph of f x = ax 2 + bx + c is a parabola, provided a 0 .
=y
()
If a > 0 , it opens upward. If a
2.46
SECTION 2.5: FINDING ZEROS OF POLYNOMIAL FUNCTIONS
Assume f x is a nonconstant polynomial with real coefficients written in standard form. PART A: TECHNIQUES WE HAVE ALREADY SEEN Refer to: Notes 1.31 to 1.35 Section A.5 in the book Notes 2.45 Refer t
3.01
CHAPTER 3:
EXPONENTIAL AND LOG FUNCTIONS
SECTION 3.1: EXPONENTIAL FUNCTIONS AND
THEIR GRAPHS
PART A: THE LEGEND OF THE CHESSBOARD
The original story takes place in the Middle Ages and involves grains of wheat.
Instead, we shall transport ourselves to
4.01
CHAPTER 4:
TRIGONOMETRY (INTRO)
SECTION 4.1: (ANGLES); RADIAN AND DEGREE MEASURE
PART A: ANGLES
An angle is determined by rotating a ray (a half-line) from an initial side to a
terminal side about its endpoint, called the vertex.
A positive angle is
(Section 4.5: Graphs of Sine and Cosine Functions) 4.33
SECTION 4.5: GRAPHS OF SINE AND COSINE FUNCTIONS
()
PART A : GRAPH f = sin
()
Note: We will use and f for now, because we would like to reserve x and y for
discussions regarding the Unit Circle.
We
(Section 4.7: Inverse Trig Functions) 4.72
SECTION 4.7: INVERSE TRIG FUNCTIONS
You may want to review Section 1.8 on inverse functions.
PART A : GRAPH OF sin- 1 x (or arcsin x )
1
Warning: Remember that f
(or reciprocal). Usually, f
1
denotes function inv
(Section 5.1: Fundamental Trig Identities) 5.01
CHAPTER 5: ANALYTIC TRIG
SECTION 5.1: FUNDAMENTAL TRIG IDENTITIES
PART A: WHAT IS AN IDENTITY?
An identity is an equation that is true for all real values of the variable(s) for which all
expressions contain
SOME BASIC TRIG - KNOW THIS!
FUNDAMENTAL TRIG IDENTITIES (IDs)
Memorize these in both directions (i.e., left-to-right and right-to-left).
Reciprocal Identities
1
sin x
1
sec x =
cos x
1
cot x =
tan x
1
csc x
1
cos x =
sec x
1
tan x =
cot x
csc x =
sin x =
Language: Barrier or Bridge
Chapter Summary
Language is Symbolic
Understanding and Misunderstanding
The Impact of Language
Gender and Language
Culture and Language
Chapter 5
Looking Out, Looking In
12th Edition
Language is Symbolic
Signs
Signs have a dire