Drop Date: Please note that the University Drop Date  deadline will be strictly enforced.

Attendance: Students are expected to attend class. Each class is a learning experience that cannot be replicated through simply “getting the notes.” Attendance:  Attendance at all classes (both lecture and recitation) will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.

Tutoring Center:  The tutoring center will be open from 10:30-6 pm on Monday, Wednesday and Thursday and is located at Cullimore 214.  Students are encouraged to use the tutoring center as needed throughout the summer session. 

 Homework: Homework is an expectation of the course.  All homework for the summer session is listed, by section, below.  On Friday of each week students will be assigned an ALEKS progress assessment.  This progress assessment will review any of the topics that the student has completed in the course.  This progress assessment must be completed by the scheduled time or the site will close access to the assessment and students will be graded on what has been completed. 

Exams: There will be two exams and a final.  All three exams will be computer based.  The first two exams will be completed on the ALEKS site.  The exam will be approximately 35 questions and will last 1.5 hours.  The final exam will NOT be from the ALEKS site.  This exam will last 90 minutes and will be given on the final day of the summer session.  The final exam will test your readiness for the next class.

Quizzes:  The progress assessments in addition to quizzes given in this session.  In addition to the progress assessments given over each weekend, comprehensive assessments will be given during class as per the instructor.  All assessments will appear on the student’s ALEKS schedule.  Students will be responsible for checking their schedule for upcoming assessments.  There will be 7-10 assessments given throughout the summer session. 

The final exam will test your knowledge of all the course material taught in the entire course. Make sure you read and fully understand the department's Examination Policy. This policy will be strictly enforced. Please note that electronic devices (such as calculators, cell phones, CD players, etc.) are not allowed during any exam.

Course Outline and Homework Assignments:

NOTE: The course outline below specifies which section of the textbook contains the given ALEKS topic.

Week 1 –

Module #1 -- Basics (56 topics)

Simplifying a fraction
Ordering fractions
Addition or subtraction of fractions with different denominators Fraction multiplication
Fraction division
Fractional part of a circle
Converting a fraction to a percentage
Converting a percentage to a fraction
Converting between percentages and decimals
Percentage of a whole number
Finding the sale price given the original price and percent discount Finding the original price given the sale price and percent discount Solving a proportion of the form x/a = b/c
Word problem on proportions: Problem type 1
Absolute value of a number
Operations with absolute value
Integer addition: Problem type 2
Integer subtraction
Integer multiplication and division
Signed fraction multiplication: Advanced
Signed fraction addition: Advanced
Signed decimal addition with three numbers
Evaluating expressions with exponents: Problem type 1

Exponents and order of operations
Integers and rational numbers
Rational and irrational numbers
Evaluating a linear expression in two variables
Additive property of equality with integers Multiplicative property of equality with signed fractions Solving a two-step equation with integers

Solving a two-step equation with signed fractions
Solving an equation to find the value of an expression
Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution
Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators Solving a word problem with two unknowns using a linear equation
Solving a decimal word problem using a linear equation with the variable on both sides
Solving a decimal word problem using a linear equation of the form Ax + B = C
Solving a fraction word problem using a linear equation with the variable on both sides
Solving a linear inequality: Problem type 2
Solving a linear inequality: Problem type 3
Solving a linear inequality: Problem type 4
Solving an equation involving absolute value: Basic
Solving an equation involving absolute value: Advanced
Solving an inequality involving absolute value: Basic
Solving a system of linear equations using elimination with multiplication and addition
Solving equations written in factored form
Finding the roots of a quadratic equation with leading coefficient 1
Finding the roots of a quadratic equation with leading coefficient greater than 1
Solving a quadratic equation needing simplification
Writing a quadratic equation given the roots and the leading coefficient
Applying the quadratic formula: Exact answers
Solving a word problem using a quadratic equation with rational roots
Solving a word problem using a quadratic equation with irrational roots

Module 2 Linear Functions (41 topics)

Set builder and interval notation
Union and intersection of intervals
Reading a point in the coordinate plane
Plotting a point in the coordinate plane
Introduction to functions: Notation and graphs
Sum, difference, and product of two functions
Domain and range from ordered pairs
Domain and range from the graph of a continuous function
Domain and range from the graph of a piecewise function
Range of a real-valued function
Writing an equation for a function after a vertical translation
Writing an equation for a function after a vertical and horizontal translation Classifying the graph of a function
Evaluating a piecewise-defined function
Graphing a piecewise-defined function
Finding a solution to a linear equation in two variables
Identifying solutions to linear equations in two variables
Y-intercept of a line
Finding x- and y-intercepts of a line given the equation: Advanced
Finding the slope of a line given its equation
Determining the slope of a line given its graph
Graphing a line given the x- and y-intercepts
Graphing a line given its equation in slope-intercept form
Graphing a line given its equation in standard form
Graphing a vertical or horizontal line
Graphing a line through a given point with a given slope
Graphing an equation involving absolute value in the plane: Advanced Writing an equation of a line given the y-intercept and another point Writing the equation of a line given the slope and a point on the line Writing the equations of vertical and horizontal lines through a given point

Writing the equation of the line through two given points
Slopes of parallel and perpendicular lines: Problem type 1
Slopes of parallel and perpendicular lines: Problem type 2
Writing an equation and drawing its graph to model a real-world situation Application problem with a linear function: Problem type 1

Application problem with a linear function: Problem type 2 Interpreting the graphs of two functions
Finding the x-intercept(s) and the vertex of a parabola

Graphing a parabola of the form y = ax2 Graphing a parabola of the form y = (x-a)2 + c Graphing a parabola of the form y = ax2 + bx + c

Week 2 –

Module #3 -- Exp and Poly (30 topics)

Introduction to the product rule of exponents Product rule with negative exponents Quotients of expressions involving exponents Product rule with positive exponents

Power rule with positive exponents
Ordering numbers with positive exponents
Writing a positive number without a negative exponent
Writing a negative number without a negative exponent
Power rule with negative exponents: Problem type 1
Ordering numbers with negative exponents
Evaluating a quadratic expression in one variable
Simplifying a sum or difference of three univariate polynomials
Degree of a multivariate polynomial
Multiplying binomials with leading coefficients of 1
Squaring a binomial: Univariate
Multiplication involving binomials and trinomials in two variables
Polynomial long division: Problem type 1
Greatest common factor of two multivariate monomials
Least common multiple of two monomials
Factoring a quadratic with leading coefficient 1
Factoring a quadratic with leading coefficient greater than 1
Factoring a difference of squares
Factoring with repeated use of the difference of squares formula
Factoring a sum or difference of two cubes
Factoring a product of a quadratic trinomial and a monomial
Completing the square
Graphing a simple cubic function
Inferring properties of a polynomial function from its graph
Using a graphing calculator to solve a word problem involving a polynomial of degree 3
Using a graphing calculator to solve a word problem involving a local extremum of a polynomial function

Exam 1 – Modules 1-3

Week 3 –

Module #4 -- Radicals (21 topics)

Square root of a perfect square
Square root of a rational perfect square
Square root simplification
Square root addition
Square root multiplication
Simplifying a radical expression: Problem type 1
Simplifying a radical expression: Problem type 2
Simplifying a product of radical expressions
Simplifying a product of radical expressions using the distributive property Rationalizing the denominator of a radical expression
Rationalizing the denominator of a radical expression using conjugates Solving a radical equation that simplifies to a linear equation: One radical Solving a radical equation that simplifies to a linear equation: Two radicals Domain of a square root function
Cube root of an integer
Converting between radical form and exponent form
Rational exponents: Basic
Rational exponents: Negative exponents and fractional bases

Rational exponents: Powers of powers
Solving a quadratic equation using the square root property: Problem type 1 Odd root property

Module #5 -- Rational Exp (27 topics)

Ordering fractions with variables
Ratio of multivariate polynomials
Simplifying a ratio of polynomials: Problem type 1
Simplifying a ratio of polynomials: Problem type 2
Multiplying rational expressions: Problem type 1
Multiplying rational expressions: Problem type 2
Dividing rational expressions: Problem type 1
Complex fraction: Problem type 1
Adding rational expressions with common denominators
Adding rational expressions with different denominators: ax, bx
Adding rational expressions with different denominators: Multivariate
Adding rational expressions with different denominators: x+a, x+b
Partial fraction decomposition
Solving a rational equation that simplifies to a linear equation: Problem type 1 Solving a rational equation that simplifies to a linear equation: Problem type 2 Solving a rational equation that simplifies to a linear equation: Problem type 3 Solving a rational equation that simplifies to a quadratic equation: Problem type 1 Solving a rational equation that simplifies to a quadratic equation: Problem type 2 Solving a rational equation that simplifies to a quadratic equation: Problem type 3 Algebraic symbol manipulation
Word problem on direct variation
Word problem on inverse variation
Word problem on inverse proportions
Word problem involving multiple rates
Quotient of two functions
Sketching the graph of a rational function: Problem type 1
Sketching the graph of a rational function: Problem type 2

Week 4 –

Module #6 Logs and Expon (21 topics)

Composition of two functions: Basic
Composition of two functions: Advanced
Inverse functions: Problem type 1
Inverse functions: Problem type 2
Converting between logarithmic and exponential equations Evaluating a logarithmic expression

Basic properties of logarithms
Change of base for logarithms: Problem type 1
Change of base for logarithms: Problem type 2
Solving an exponential equation: Problem type 1
Solving an exponential equation: Problem type 2
Solving a logarithmic equation: Problem type 1
Solving a logarithmic equation: Problem type 2
Solving a word problem using an exponential equation: Problem type 1 Solving a word problem using an exponential equation: Problem type 2 Solving a word problem using an exponential equation: Problem type 3 Solving a word problem using an exponential equation: Problem type 4 Sketching the graph of an exponential function: Basic
Sketching the graph of an exponential function: Advanced
Sketching the graph of a logarithmic function
Translating the graph of a logarithmic or exponential function

Exam 2 – Modules 4-6

Week 5 –

Module #7 -- Trigonometry (23 topics)

Arc length and area of a sector of a circle
Area involving rectangles and circles: Advanced problem Converting between degree and radian measure: Problem type 1 Coterminal angles
Sketching an angle in standard position
Sine, cosine, and tangent ratios

Using a trigonometric ratio to find a side length in a right triangle
Using a trigonometric ratio to find an angle measure in a right triangle
Finding trigonometric ratios given a right triangle
Common angles and trigonometric functions
Finding values of trigonometric functions given information about an angle: Problem type 1 Finding values of trigonometric functions given information about an angle: Problem type 2 Finding values of trigonometric functions given information about an angle: Problem type 3 Sketching the graph of a sine or cosine function: Problem type 1
Sketching the graph of a sine or cosine function: Problem type 2
Values of inverse trigonometric functions
Composition of a trigonometric function and an inverse trigonometric function: Problem type 1 Composition of a trigonometric function and an inverse trigonometric function: Problem type 2 Composition of a trigonometric function and an inverse trigonometric function: Problem type 3 Cofunction identities
Double-angle identities: Problem type 1
Solving a basic trigonometric equation involving sine or cosine
Solving a basic trigonometric equation involving tangent, cotangent, secant, or cosecant

Module #8 -- Geometry (16 topics)

Perimeter of a square or a rectangle
Area of a square or a rectangle
Area of a piecewise rectangular figure
Finding the side length of a rectangle given its perimeter or area Finding the perimeter or area of a rectangle given one of these values Circumference and area of a circle

Perimeter involving rectangles and circles Volume of a rectangular prism
Volume of a cylinder
Volume of a cone

Volume of a sphere
Surface area of a cube or a rectangular prism Surface area of a cylinder
Pythagorean Theorem
Distance between two points in the plane Midpoint of a line segment in the plane

Week 6 –

Module #9 Advanced Topics (20 topics)

Plotting a point in polar coordinates
Converting rectangular coordinates to polar coordinates
Converting polar coordinates to rectangular coordinates
Converting an equation written in rectangular coordinates to one written in polar form Converting an equation written in polar form to one written in rectangular coordinates Estimating a limit numerically
Finding limits from a graph
Finding limits for a piecewise-defined function
Finding a limit by using the limit laws: Problem type 1
Finding a limit by using the limit laws: Problem type 2
Finding a limit by using the limit laws: Problem type 3
Squeeze Theorem
Determining points of discontinuity from a graph
Determining a parameter to make a function continuous
Limits at infinity and graphs
Limits at infinity and rational functions
Infinite limits and graphs
Infinite limits and rational functions
Finding a limit of a trigonometric function by using continuity
Finding a limit by using special trigonometric limits

Final Exam – Modules 1-9

Prepared By:  Prof. Kenneth Horwitz

Last revised:  July 3, 2013