Graded Assignments (Subject to Change)
- 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 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
- 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
Section 2.2: Quadratic Functions
- 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