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Home > Jeff Linek > Math 1111 Online > Assignment & Units

•            Orientation Activity
• Activity Sheet
• Syllabus Quiz
• Introduction discussion
•            21 MyMath Lab (MML) Homework
•             6 Quizzes
•             6 Quizzes Discussions [more details]
•             5 Apply the Concepts Mini-Project
•             Semester  Exam (Proctored--on campus)

UNIT Information

Unit 1: Sections 1.1 - 1.3

Section 1.1: Graphs and Graphing Utilities

• Plot points in the rectangular coordinate system.
• Graph equations in the rectangular coordinate system.
• Interpret information about a graphing utility’s viewing rectangle or table.
•  Use a graph to determine intercepts. Interpret information from graphs.

Section 1.2: Basics of Functions and their Graphs

• Find the domain and range of a relation.
• Determine whether a relation is a function.
• Determine if an equation represents a function.
• Evaluate a function.
• Graph functions by plotting points.
• Use the vertical line test to identify functions.
•  Obtain information from a graph.
• Identify the domain and range from a graph.
• Identify intercepts from a graph.

Section 1.3: More on Functions and their Graphs

• Understand and use piecewise functions.
• Identify intervals on which a function increases, decreases, or is constant.
• Use graphs to locate relative maxima or minima.
• Identify even or odd functions and recognize the symmetries.
•  Graph step functions.
• Find and simplify a function’s difference quotient.

### Learning Unit 2: Sections 1.4 - 1.6

Section 1.4: Linear Functions and Slope

• Calculate a line's slope
•  Write the equation of a line in point-slope form, slope-intercept form, and general
• form.
•  Graph using the slope-intercept form of a line or using intercepts.
• Graph vertical and horizontal lines.   Model data with linear functions and predict.

Section 1.5: More on Slope

• Find slopes and equations of parallel and perpendicular lines.
• Interpret slope as a rate of change.
•  Find a function's average rate of change.

Section 1.6: Transformations of Functions

•  Recognize graphs of common functions,
•  Use any and all of the following transformations to graph functions: Vertical Shift,
• Horizontal Shift, X axis Reflection, Y axis Reflection, Vertical stretching/shrinking,
• Horizontal stretching/shrinking.

### Learning Unit 3: Sections 1.7 - 1.9 , P7

Section 1.7: Combinations of Functions; Composite Functions

• To find the domain of functions algebraically
• To add, subtract, multiply, and divide functions: f+g, f - g, fg, f/g
• To find composite functions
• To find the domain of combined and composite functions

Section 1.8: Inverse Functions

• Verify that functions are inverses
• Find the inverse of a function
• Explore one-to-one functions
• Use the Horizontal Line Test to see if a function has an inverse

Section 1.9: Distance and Midpoint; Circles

• Find the distance between two points
• Find the midpoint of a line segment
• Write the equation of circle in standard form
• Determine the radius and center of a circle whose equation is in standard form

### Learning Unit 4: Sections 2.1 to 2.3

Section 2.1: Complex Numbers

• Add & subtract complex numbers
• Multiply complex numbers
• Divide complex numbers
• Perform operations with square roots of negative numbers

• Recognize characteristics of parabolas
• Graph parabolas
• Determine a quadratic function’s minimum or maximum value.
• Solve problems involving a quadratic function’s minimum or maximum value.

Section 2.3: Polynomial Functions and Their Graphs

• Identify polynomial functions
• Recognize characteristics of polynomial functions
• Determine end behavior
• Using factoring to find zeros of polynomial functions
• Identify zeros and their multiplicity
• Use the Intermediate Value Theorem
• Understand the relationship between degree and turning points.
• Graph polynomial functions

### Learning Unit 5: Sections 2.4 to 2.6

2.4 Dividing Polynomials; Remainder and Factor Theorems

• Using long division to divide polynomials
• Using synthetic division to divide polynomials
• Evaluate polynomials using the Remainder Theorem
• Use the Factor Theorem to solve polynomials
•

2.5 Zeros of Polynomial Functions

• Use Rational Zero Theorem  to find possible zeros.
• Find zeros of a polynomial function.
• Solve polynomial equations.
• Use the Linear Factorization Theorem to find polynomials, given the zeros.
• Use Descartes’s Rule of Signs

2.6 Rational Functions & Their Graphs

• Find domain of rational functions.
• Use arrow notation.
• Identify vertical asymptotes.
• Identify horizontal asymptotes.
• Use transformations to graph rational functions.
• Graph rational functions.
• Identify slant (oblique) asymptotes.
• Solve applied problems with rational functions.

### Learning Unit 6: Sections 3.1 to 3.3

Section 3.1   Evaluate exponential functions.

• Graph exponential functions.
• Evaluate functions with base e.
• Use compound interest formulas.

Section 3.2    Change from logarithmic to exponential form.

• Change from exponential to logarithmic form.
• Evaluate logarithms.
• Use basic logarithmic properties.
• Graph logarithmic functions.
• Find the domain of a logarithmic function.
• Use common logarithms.
• Use natural logarithms.

Section 3.3 Properties of Logarithms

• Use the product rule
• Use the quotient rue
• Use the power rule
• Expanded logarithmic expressions
• Condense logarithmic expressions
• Use the change-of-base property

### Learning Unit 7: Sections 3.4 to 3.5

Section 3.4    Use like bases to solve exponential equations.

• Use logarithms to solve exponential equations
• Use the definition of a logarithm to solve logarithmic equations
• Use the one-to-one property of logarithms to solve logarithmic equations
• Solve applied problems involving exponential and logarithmic equations

Section 3.5    Models of exponentai growth and decay

• Use logistic growth model
• Use Newton's Law of Cooling
• Choose an appropriate model for data
• Express an exponential model in base e

Page last updated: November 7, 2012