Math 102
From charlesreid1
Contents
Outline
Chapter Outline
Chapterbychapter outline:
 Module 1: Review
 Module 2: Equations and Inequalities
 Module 3: Graphs
 Module 4: Functions and their Graphs
 Module 5: Linear and Quadratic Functions
 Module 6: Polynomial and Rational Functions
 Module 7: Exponential/Log Functions
 Module 8: Systems of Equations and Inequalities
Levitan Kolman Shapiro Outline
Midterm A
Module 1: Review (Levitan Chapter 1)
 Real numbers
 Algebra essentials
 Geometry essentials
 Polynomials
 Factoring polynomials
 Synthetic division
 Rational Expressions
 Radicals, nth roots, and Rational Exponents
Module 2: Equations and Inequalities (Levitan Chapter 2)
 Linear equations
 Quadratic equations
 Radical equations and factorable equations
 Solving inequalities
 Equations and inequalities with absolute value
 Applications (interest, rate, mixture)
Module 3: Functions (Levitan Chapter 3)
 Rectangular coordinate system
 Distance and midpoint formulas
 Graphs of equations in 2 variables
 Graphs of lines
 Properties of functions
 Graphing transformations
 Inverse variation?
 Modeling
Module 4: Linear and Quadratic Functions (Levitan Chapter 3 Linear functions/4 Quadratic functions)
 Linear functions and properties
 Linear models and functions from data
 Quadratic functions and properties
 Quadratic models and functions from data and descriptions
 Inequalities with quadratics
Midterm B
Module 5: Polynomial and Rational Functions (Levitan Chapter 4 Polynomials/5 Rational functions)
 Use my own notes:
 Polynomial functions and properties
 Polynomial models
 Rational functions and properties
 Graphs of polynomial and rational functions
 Polynomial and rational inequalities
Module 6: Exponential/Log Functions (Levitan Chapter 6)
 Composite functions, inverse functions
 Exponential functions
 Logarithmic functions
 properties of logs and exponents
 Exponential and log equations
Final Exam
Everything preceding, plus:
Module 7: SoE and Matrices (Levitan Chapter 7 SoE/8 Matrices)
 Matrices and linear systems
 Matrix operations and applications
 Inverses of matrices
 Determinants
 Properties of determinants
 Cramer's Rule
Sullivan Outline
Midterm A
Module 1: Review (Review Chapter) Math 102/Review
 Real numbers
 Algebra essentials
 Geometry essentials
 Polynomials
 Factoring polynomials
 Synthetic division
 Rational Expressions
 Radicals, nth roots, and Rational Exponents
Module 2: Equations and Inequalities (Chapter 1) Math 102/Chapter 1
 Linear equations
 Quadratic equations
 Radical equations and factorable equations
 Solving inequalities
 Equations and inequalities with absolute value
 Applications (interest, rate, mixture)
Module 3: Functions and their Graphs (Chapter 2, 3) Math 102/Chapter 2, Math 102/Chapter 3
 Chapter 2 graphs
 Distance/Midpoint formulas

Graphs of equations in 2 variables  Graphs and Lines
 Chapter 3: Functions and their Graphs (Chapter 3) Math 102/Chapter 3
 Functions

Graphs of functions(already covered in ch 2??)  Properties of functions

Library of functions, piecewise functions  Graphing transformations

Building functions (modeling)
Module 4: Linear and Quadratic Functions (Chapter 4) Math 102/Chapter 4
 Linear functions and properties
 Linear models and functions from data
 Quadratic functions and properties
 Quadratic models and functions from data and descriptions
 Inequalities with quadratics
Midterm B
Module 5: Polynomial and Rational Functions (Chapter 5) Math 102/Chapter 5
 Polynomial functions and models
 Properties of rational functions
 Graphs of rational functions
 Polynomial and rational inequalities
 Real zeros of polynomials
Module 6: Exponential/Log Functions (Chapter 6) Math 102/Chapter 6

Composition functions  One to one functions and inverse functions
 Exponential functions
 Logarithmic functions
 Properties of logs
 Log and exponential equations
 Financial models
 Exponential growth and decay
 Logistic growth and decay
 Building log/exp models
Module 7: Systems of Equations and Inequalities (Chapter 8) Math 102/Chapter 8
 Systems of linear equations: substitution, elimination
 Systems of linear equations: matrices
 Systems of linear equations: determinants
 Matrix algebra
Objective Outline
Chapter 1 Objectives
You should be able to do the following...
Section 1.1:
 Solve a linear equation
 Solve equations leading to linear equations
 Solve problems modeled by linear equations
Section 1.2:
 Solve quadratic equation by factoring
 Solve quadratic equation by completing the square
 Solve quadratic equation using quadratic formula
 Solve problems modeled by quadratic equations
Section 1.4:
 Solve radical equations
 Solve equations quadratic in form
 Solve equations by factoring
Section 1.5:
 Use interval notation
 Use properties of inequalities
 Solve inequalities
Section 1.6:
 Solve equations involving absolute value
 Solve inequalities involving absolute value
Section 1.7:
 Translate verbal descriptions into mathematical expressions
 Solve interest problems
 Solve mixture problems
 Solve uniform motion problems
Chapter 2 Objectives
Section 2.1:
 Use the distance formula
 Use the midpoint formula
Section 2.2:
 Graph equations by plotting points
 Find intercepts from a graph
 Find intercepts from an equation
 Test an equation for symmetry with respect to the xaxis, the yaxis, and the origin
 Know how to graph key equations
Section 2.3:
 Calculate and interpret the slope of a line
 Graph lines given a point and a slope
 Find the equation of a vertical line
 Use the pointslope form of a line
 Write equation of a line given two points, identify horizontal lines
 Write equation of a line in slopeintercept form
 Identify slope and yintercept of line from its equation
 Graph lines written in general form using intercepts
 Find equations of parallel lines
 Write equations of perpendicular lines
Chapter 3 Objectives
Section 3.1:
 Determine whether a relation represents a function
 Find the value of a function
 Find the domain of a function defined by an equation
 Form the sum, difference, product, and quotient of two functions
Section 3.2:
 IDentify the grpah of a function
 Obtain information from or about the graph of a fucntion
Section 3.3
 Determine even and odd functions from a graph
 Identify even and odd functions from the equation
 Use a graph to determine where a function is increasing or decrasing
 Use graph to locate local min max
 USE grpah to locate abs min miax
 Use graphing utility to locate approx local min max
 Find average rate of change of function
Section 3.4:
 Graph functions listed in library of functions
 Graph piecewise defined functions
 Graph functions using vertical and horizontal shifts
 Graph functions using compressions and stretches
 Graph functions using reflection about xaxis or yaxis
 Build and analyze functions
Chapter 4 Objectives
Section 4.1:
 Graph linear functions
 Use average rate of change to identify linear functions
 Determine whether linear function is increasing, decreasing, or constant
 Build linear models from verbal descriptions
Section 4.2:
 Draw and interpret scatter diagrams
 Distinguish between linear and nonlinear relations
 Use graphing utility to find line of best fit
Section 4.3:
 Graph a quadratic function using transformations
 Identify the vertex and axis of symmetry of quad functions
 Graph quadratic functions using vertex, axis, and intercepts
 Find quadratic function given its vertex and one other point
 Find the max or min value of a quadratic function
Section 4.4:
 Build quadratic models from verbal descriptions
 Build quadratic models from data
Section 4.5:
 Solve inequalities involving a quadratic function
Chapter 5 Objectives
Section 5.1:
 Identify polynomial functions and their degree
 Graph polynomial functions using transformations
 Identify the real zeros of a polynomial function and their multiplicity
 Analyze the graph of a polynomial function
 Build cubic models from data
Section 5.2:
 Find the domain of a rational function
 Find the vertical asymptotes of a rational function
 Find the horizontal or oblique asymptote of a rational function
Section 5.3:
 Analyze the graph of a rational function
 Solve applied prob.ems involving rational functions
Section 5.4:
 Solve polynomial inequalities
 Solve rational inequalities
Section 5.5:
 Use the remainder and factor theorems
 Use the rational zeros theorem to list the potential rational zeros of a polynomial function
 Find the real zeros of a polynomial funciton
 Solve opoynoial equations
 Use the Theorem for Bounds on Zeros
 Use intermediate value theorem
Section 5.6:
 Use the conjugate pairs theorem
 Find a polynomial function with specified zeros
 Find the complex zeros of a polynomial
Chapter 6 Objectives
Section 6.1:
 Form a composite function
 Form the domain of a composite function
Section 6.2:
 Determine whether a function is onetoone
 Determine the inverse of a ffunction defined yb a map or a set of ordered pairs
 Obtain the graph of the inverse funciton from the graph of the funcitno
 Find the inverse of a funciton defined by an equation
Section 6.3
 Evaluate exponential functions
 Grha exp functions
 Define e
8 Solve exponential equations
Section 6.4
 Change exp statements to log statements and log statements to exp statements
 Evaluate log expressions
 Determine domain of log function
 Graph log functions
 Solve log equations
Section 6.5:
 Work with the properties of logs
 Write a log expression as a sum or difference of logs
 Write a log expression as a single log
 Evaluate logs whose base is neither 10 nor e
Section 6.6:
 Solve log equations
 Solve exponential equations
 Solve log and exponential equations using a graphing utility
Section 6.7:
 Determine the future value of a lump sum of money
 Calculate effective rates of return
 Determine the present value of a lump sum of money
 Determine the rate of interest or time required to double a lump sum of money
Section 6.8:
 Find equations of populations obeying law of uninhibited growth
 Find equations of populations obeying law of decay
 Use Newton's Law of Cooling
 Use logistic models
Section 6.9:
 Build exp model from data
 Build log model from data
 build logistic model from data
Chapter 8 Objectives
Section 8.1:
 Solve systems of equations by substitution
 Solve systems of equations by elimination
 Identify inconsistent/impossible linear systems
 Express solution of system of dependent equations containing two variables
 Solve systems of three equations containing three variables
 Identify incosnistent ssytems of equations with 3 variables
 Express solution of system of dependent equations containing three variables
Section 8.2:
 Write augmented matrix of system of linear equations
 Write the system of equations from augmented matrix
 Perform row operations on matrix
 Solve system of linear equations using matrix
Section 8.3
 Evaluate 2x2 determinant
 Use Cramer's rule to solve system of equations with two vars
 Evaluate 3x3 determinant
 Use Cramer's rule to solve a 3x3 system
 Know the properties of determinants
Section 8.4
 Find sum and diff of two matrices
 Find scalar multiples of a matrix
 Find product of 2 matrices
 Find inverse of a matrix
 Solve system of linear equations using an inverse matrix
Flags
Math 102  College Algebra Math 102  College Algebra  Fall 2016  South Seattle College
Chapterbychapter outline: Chapter 1: Equations and Inequalities Math 102/Chapter 1 Chapter 2: Graphs Math 102/Chapter 2 Chapter 3: Functions and their Graphs Math 102/Chapter 3 Chapter 4: Linear and Quadratic Functions Math 102/Chapter 4 Chapter 5: Polynomial and Rational Functions Math 102/Chapter 5 Chapter 6: Exponential/Log Functions Math 102/Chapter 6 Chapter 8: Systems of Equations and Inequalities Math 102/Chapter 8
Puzzles: Puzzles
Category:Teaching · Category:Math 102 · Category:Math Flags · Template:Math102Flag · e 