4 - 5:40 PM, Mon-Thur, D330
Topics include sets, real numbers, factoring, functions, expressions (polynomial, rational, exponential, logarithmic, and radical), equations (linear, absolute value, rational, quadratic, exponential, logarithmic, and radical) and inequalities (linear and absolute value). Systems of three equations and complex numbers are introduced. Word problems are studied in detail. Skills for success in transfer-level mathematics courses are emphasized.
MATH 1414 with a grade of C or better or appropriate assessment score
General Education Outcomes are the knowledge, skills, abilities, attitudes, and behaviors that students are expected to develop as a result of their overall experiences with any aspect of the college, including courses, programs, and student services, both inside and outside of the classroom. The General Education Outcomes specifically learned in this course are:
- Critical Thinking
Faculty Contact Information
3-4pm, Mon-Thur, or by appointment
Course Information
At the end of this course, students will be able to:
- Find the domain of rational and radical functions.
- Solve and graph inequalities in two variables.
- Solve simple rational equations and identify extraneous solutions.
- Simplify radical and rational exponent expressions.
- Solve quadratic equations using the quadratic formula.
- Perform basic operations on exponential and logarithmic functions.
- Solve exponential and logarithmic equations including the natural logarithm and the exponent e.
- Solve application problems using a wide variety of techniques.
- Review of Factoring
- Rational Expressions and Equations
- Intro to rational expressions
- Multiplication and division of rational expressions
- Least Common Denominator
- Addition and subtraction of rational expressions
- Complex fractions
- Rational equations
- Applications using rational expressions and proportions
- Relations and Functions
- Intro to relations and functions
- Graphs of functions
- Algebra of functions and composition
- Variation
- More Equations and Inequalities
- Compound inequalities
- Polynomial and rational inequalities
- Absolute value equations and inequalities
- Linear inequalities and systems of linear inequalities
- 3 x 3 systems of equations
- Radicals and Complex Numbers
- Definition of an nth root
- Rational exponents
- Simplifying radical expressions
- Addition, subtraction and multiplication of radicals
- Division of radicals and rationalization
- Solving radical equations
- Complex numbers
- Quadratic Equations and Functions
- Square root property and completing the square
- Quadratic formula
- Equations in quadratic form
- Graphs of quadratic functions
- Vertex of parabola: applications and modeling
- Exponential and Logarithmic Functions and Applications
- Inverse functions
- Exponential functions
- Logarithmic functions and their properties
- The irrational number e and change of base
- Logarithmic and exponential equations and applications
Beginning and Intermediate Algebra, 6th ed. by Miller, O'Neill, and Hyde, published by McGraw Hill with ALEKS 360 access code
eBook and code provided through tuition
Scientific calculator
This course will be evaluated by performance on homework (objectives, pie progress), tests, and a comprehensive final exam.
- Pie Progress = 15%
- Objectives (Modules) = 15%
- Tests = 50%
- Final Exam = 20% of grade
Grading Scale:
Percentage | Final Grade |
90-100% | A |
80-89% | B |
70-79% | C |
60-69% | D |
0-59% | F |
Liberal Arts & Sciences
Dean, Jennifer Huggins; 815-802-8484; R310; jhuggins@kcc.edu; Division Office- W102; 815-802-8700
Academic Integrity: By enrolling in this course, you are agreeing to complete all the work yourself. If you are caught submitting someone else’s work, you may automatically receive an F for the course.
Attendance Policy: You are considered attending when you attend the scheduled classes and when you log into ALEKS. While attendance is not part of your grade, you are responsible for the material covered during any missed classes. You are more successful if you attend class.
Knowledge Checks: You will be completing an initial knowledge check so that ALEKS will know what topics you already have mastered so it won’t assign you those topics. Periodically you will need to complete another knowledge check. ALEKS is checking what you remember from the material you have learned. Take these knowledge checks seriously because if you answer questions incorrectly, it will remove those topics from your pie and you will have to relearn them. It is a good idea to take organized notes while doing your homework so you can refer to them as you are doing the knowledge checks. Think of the knowledge checks as reviewing for a test.
Pie Progress: As you master topics in ALEKS, you are completing the pie. Your goal is to complete at least 50% of the pie by the mid semester and 100% of the pie by the end of the semester.
Objectives: The objectives are divided up into 15 modules and are assigned and completed using ALEKS. Since this is an 8 week class, you will be completing two modules per week. As many opportunities as necessary are granted to achieve full credit, thus, persistence is the key. Homework is your opportunity to practice and master the material. The objective modules are due on the time and date listed in ALEKS. No late work is accepted but I tend to be lenient when there is a lot of communication from the student.
Tests: There will be a test after every two modules. I will replace your lowest test score with your final exam grade so if you miss a test, you will have the opportunity to replace the zero with your final exam grade. The tests will be taken in class each Monday on paper. You are allowed both sides of a 3x5 inch notecard of notes during the test. I don't allow makeups of tests but I tend to be more lenient when a student communicates right away with me about a missed test.
Final Exam: The final exam will be taken in class on Thursday, July 23, 4 - 6 PM. This exam will be done on paper. You are allowed both sides of an 8.5x11 inch sheet of paper of notes during the exam.
Calculator Usage Policy: A scientific calculator is needed for this class. Cell phones are not permitted for calculator usage during tests. If you do not have a calculator, you can borrow one from the library.
| Week | Material |
| 1 | Ch. 6 Facctoring Review 7.1-7.2 Rational Expressions, Multiplying and Dividing Rational Expressions |
| 2 | Unit 1 Test 7.3-7.6 LCD, Adding and Subtracting Rational Expressions, Complex Fractions, Rational Equations |
| 3 | Unit 2 Test 7.6-7.7 Rational Equations, Applicaitons and Proportions 8.1-8.2 Relations and Functions |
| 4 | Unit 3 Test 8.3-8.5 Graphs of Functions, Algebra of Functions, Composition, Variation Ch. 9 More Equations and Inequalities 4.5 Systems of Equations |
| 5 | Unit 4 Test 10.1-10.4 nth Roots, Rational Exponents, Simplifying, Adding, and Subtracting Radicals |
| 6 | Unit 5 Test 10.5-10.8 Multiplying and Dividing Radicals, Rationalization, Radical Equaitons, Complex Numbers |
| 7 | Unit 6 Test Ch. 11 Quadratic Equations and Functions 12.1-12.4 Inverse Functions, Exponential and Logarithmic Functions, Properities of Logarithms |
| 8 | Unit 7 Test 12.5-12.6 Irrational Number e, Change of Base, Logarithmic and Exponential Equations Final Exam Review Final Exam: Thursday, July 23, 4-6 pm |
Subject to change as semester progresses.
College Policies, Resources and Supports
For information related to the Student Code of Conduct Policy, Withdrawal Policy, Email Policy, and Non- Attendance/Non-Participation Policy, please review the college’s Code of Campus Affairs and Regulations webpage, which can be found at catalog.kcc.edu under the Academic Regulations & Conduct Guide.
KCC offers various academic and personal resources for all students. Many services are offered virtually, as well as in person. Please visit Student Resources - Kankakee Community College to access student resources services such as:
- Clubs and organizations
- Counseling and referral services
- Office of disability services
- Student complaint policy
- Transfer services
- Tutoring services, etc.
The materials on this course are only for the use of students enrolled in this course for purposes associated with this course. Further information regarding KCC's copyright policy is available at https://kcc.libguides.com/copyright.
|Course syllabus/calendar is subject to change.