MAT 108-H2 COLLEGE ALGEBRA 4 cr. (4-0) (hybrid)

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1 JOHN A. LOGAN COLLEGE K. Giritharan SM 15 MAT 108-H2 COLLEGE ALGEBRA 4 cr. (4-0) (hybrid) COURSE DESCRIPTION: College Algebra gives in-depth study of graphs of equations, functions, transformations, and polynomial and rational functions. Exponential and logarithmic functions, systems of equations and inequalities, matrices, and determinants are also covered. College Algebra requires a thorough understanding of Intermediate Algebra. PREREQUISITES: MAT Geometry and MAT 062 Intermediate Algebra both with a grade of "C" or higher or assessment. (If you have not successfully completed the equivalent of these prerequisites, then you should not take this course. You must have the proper prerequisite to expect to successfully complete this course. If you are unsure of your readiness for this course, you need to contact me immediately.) COURSE OBJECTIVES: At the completion of the course, the student should be able to: 1. Demonstrate the ability to identify, solve and apply linear and absolute value equations and inequalities 2. Graph elementary equations using properties such as intercepts and symmetry 3. Develop a mathematical model that describes real world phenomena 4. Demonstrate the ability to input and interpret data and use technology to find the appropriate regression 5. Define domains, range, relation, and function and give examples of each 6. Graph polynomial, rational, and piecewise functions 7. Perform arithmetic with functions, composition of functions, transformations of functions, and find inverses of functions 8. Perform long division and synthetic division of polynomials 9. Determine the zeros of polynomial and rational functions 10. Utilize the properties of logarithms and solve exponential and logarithmic equations 11. Demonstrate the ability to graph and apply natural logarithmic and exponential functions to workplace situations 12. Solve systems of equations and inequalities by substitution, elimination, graphing, or matrix row reduction 13. Perform matrix operations 14. Apply matrices and determinants to real-life situations 15. Demonstrate the ability to recognize and graph conic sections

2 2 COURSE OUTLINE: Timeline Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Suggested Presentation of Topics Chapter 1 Equations and Inequalities 1.1 Graphs of Equations 1.2 Linear equations in one variable 1.3 Modeling with Linear Equations 1.4 Quadratic Equations and Applications 1.5 Complex Numbers 1.6 Other Types of Equations 1.7 Linear Inequalities in One Variable 1.8 Other Types of Inequalities Exam I (Chapter 1) Chapter 2 Functions and Their Graphs 2.1 Linear Equations in Two Variables 2.2 Functions 2.3 Analyzing Graphs of Functions 2.4 A Library of Functions 2.5 Transformations of Functions 2.6 Combinations of Functions 2.7 Inverse Functions Review Exam II (Chapter 2) Chapter 3 Polynomial Functions 3.1 Quadratic Functions 3.2 Polynomial Functions of Higher Degree 3.3 Polynomial and Synthetic Division 3.4 Zeros of Polynomial Functions 3.5 Mathematical Modeling and Variation Chapter 4 Rational Functions 4.1 Rational Functions and Asymptotes 4.2 Graphs of Rational Functions 4.3 Conics Exam III (Chapters 3 and 4) Chapter 5 Exponential and Logarithmic Functions 5.1 Exponential Functions and Their Graphs 5.2 Logarithmic Functions and Their Graphs 5.3 Properties of Logarithms 5.4 Exponential and Logarithmic Equations

3 3 Week 7 Week 8 Chapter 9 Systems of Equations and Inequalities 9.1 Linear and Nonlinear Systems of Equations 9.2 Two-Variable Linear Systems 9.5 Systems of Inequalities Exam IV (Chapters 5 and 9) Chapter 10 Matrices and Determinants 10.1 Matrices and Systems of Equations 10.2 Operations with Matrices 10.4 The Determinant of a Square Matrix 10.5 Applications of Matrices and Determinants Comprehensive Final Exam (Chapters 2, 3, 4, 5, 9 and 10) COURSE REQUIREMENTS: A. Online Materials. This course requires access to John A. Logan College s Desire2Learn Learning Management System (https://learn.jalc.edu) to access online class materials and to the textbook publisher s homework system, WebAssign (http:/www.webassign.net) to do the online homework. a. Accounts for D2L are automatically created for you. Your login information is the same as your Volmail account. Volmail Account. Every student now has a John A. Logan College address and you must use your Volmail account for this course. Here is the information to help you check your Volmail account. URL: and click on the Volmail link. Username: first initial followed by your last name and the last 4 digits of your Student ID number. Password: Your initial password is an 8 digit number composed of the two digits for the day of the month you were born, two digits for the month you were born, and the last 4 digits of your Social Security number. Here is an example: Johnny Logan, who has this demographic information: Name: Johnny Logan Student ID Number: Date of Birth: 07/04/1993 SNN: would have this username and password combination: Username: jlogan1234 Password: b. Questions about access to the online systems must be addressed to the instructor before the end of first week of classes.

4 4 B. Access to the Internet. It is expected that students have a reliable connection to the Internet. This course requires access to Enhanced WebAssign (www.webassign.net), which will require a purchased Enhanced WebAssign access code. WebAssign is an online homework system. This homework system will require the student to have daily access to the Internet whether at home, the college, or some other location. An Enhanced WebAssign access code is required for the course. Once you have an access code, you can register for WebAssign by browsing to Click ENTER CLASS KEY button which is located right next to the LOG IN button on the top right hand corner and enter the Class Key: jalc in the three spaces provided. C. Calculators. A TI-83 or TI-84 graphing calculator is required for this course. D. Required Materials. The usual notebook, paper, pencils, Calculator etc., represents the required materials for the class E. Recommended Materials. The textbook, while not required, is highly recommended. But your access to the enhanced WebAssign will give you full access to an ebook. F. Homework. Homework will be assigned for each section of the text that is covered. The student should realize that, as a general rule of thumb, a minimum of two hours of study outside of class is required for every one hour of class time. This course will require between six and ten hours per week of outside class work if the student plans to successfully complete the course. G. Attendance. This is not a self-paced course. You must keep up with the deadlines given in the online course. You must be logged into Desire2Learn (D2L) and WebAssign several days per week for any new resources, announcements and to do homework. Student Success Center (Room C219). Services available for students include tutoring (both scheduled one-on-one tutoring and walk-in tutoring) and Disability Support Services. Students can drop in during the hours of operation for tutoring in the Math Help Room (C219 and C223) or the Biology Help Room (C243A). To receive one-onone tutoring, students should make a request early in the semester in the Student Success Center. The Student Success Center is also the place to arrange accommodations. John A. Logan College will make reasonable accommodations for students with documented disabilities. Contact the coordinator of Disability Support Services, Room C219B, ext. 8516, for more information. The coordinator must determine eligibility and arrange appropriate academic accommodations. However, it is the student s responsibility to register in advance of a school term with Disability Support Services and to turn in a class schedule each term to ensure accommodations are arranged. Free educational workshops are also provided by the Student Success Center throughout the semester. For more information, visit the Student Success Center website at

5 5 English Writing Center/Tutoring. For assistance with writing assignments in any college courses, students are encouraged to visit the Writing Center in C214. English instructors are available for one-on-one tutoring each semester during hours posted at the center. Financial Aid. Students who receive financial assistance and completely withdraw from classes prior to 60% of the semester being completed (approximately 2-3 weeks after midterm) could be responsible to return a portion of their Federal Pell Grant award. Prior to withdrawing from courses, students should contact the Financial Aid Office. Course Withdrawal Information. It is expected that you will attend this class regularly. If you stop attending for any reason, you should contact your advisor and withdraw officially to avoid the posting of a failing grade (an E) to your transcript. It is also advisable to discuss the situation with your instructor before dropping. Administrative Withdrawal. A student may be withdrawn from a class for lack of attendance/participation as defined below. Logging into an online course is not sufficient to be considered participation. Participation for online courses is defined as an active process and may include posting/sending assignments to the drop box or instructor s , participating in online discussion boards, taking quizzes or exams, or otherwise communicating and/or participating in some manner that is approved by the instructor. A student who has been administratively withdrawn from class will receive an notification from the Admissions Office. This notification will outline the student s appeal options if the student wishes to re-enroll in the course. Face-to-Face Class (8 or 16 weeks) Online Class (8 week) Online Class (16 week) Student may be withdrawn from class if the student has missed four (4) consecutive class periods without prior notification to the instructor of the absences. Student may be withdrawn from class if the student has not participated (as indicated by activity reports) in the online class for the equivalent of one week. Student may be withdrawn from class if the student has not participated (as indicated by activity reports) in the online class for the equivalent of two weeks. Safety Review Request. Our safety at JALC is everyone s responsibility! Faculty, staff, and students are encouraged to use the Safety Review Request, https://www.jalc.edu/safety-review-request-form link on the JALC home page or contact Campus Safety directly (Ext or Room E105) to report safety concerns or questions. This statement comes from the John A. Logan College Campus Violence Prevention Committee. Math Help Room. Students are encouraged to visit the Math Help Room in C218 where free one-on-one tutoring is available during posted hours.

6 6 METHOD OF EVALUATION: Evaluation will be made on the basis of A. Graded Homework. There will be online homework assignments on WebAssign. The lowest five homework scores will be dropped. The remaining homework assignments will be 20% of the student s grade. These assignments will have due dates and it will not be extended. Failure to meet the deadlines will result in a zero on the assignment. B. Exams. There will be four proctored 100 point exams taken in the learning lab or at an approved testing site. The average of the exams will be 60% of the student s grade. Students will not be given any of the tests to take home. The only materials allowed during the exam will be a pencil and a calculator. A picture ID will be required to take the exams. If you cannot take the exams at John A. Logan College Learning Lab, contact me immediately before the end of the first week of classes to make arrangements for a testing site. Exam 1 Chapter 1 is due on or before June. 25 th Exam 2 Chapter 2 is due on or before July. 6 th Exam 3 Chapters 3 and 4 is due on or before July. 20 th Exam 4 Chapters 5 and 9 is due on or before July. 29 th C. Final Exam. A proctored 200-point comprehensive final exam which will include chapters 1, 2, 3, 4, 5, 9, and 10 will be given in the learning lab or at an approved testing site. Final exam must be taken on or before Aug 6th. All students are required to take the final exam. This final exam will be 20% of the student s grade. If a student scores a higher percentage than his/her lowest exam score, then the final exam score will also replace the lowest exam score. This will be possible only if the student has taken all scheduled exams that were given during the semester. Grading Scale. Your final course grade will be based on Homework 20% Exams 60% Final 20% A % B 80-89% C 70-79% D 60-69% E 0-59% D. Make-up Policy. Since students plan their exam dates and times, no make-ups will be given.

7 7 METHOD OF PRESENTATION: This course will be administered online through D2L and WebAssign. The student can obtain additional help through (1) school tutoring C218/219 (free), (2) DVD s keyed to each section of the textbook, available in the Learning Lab or (3) the instructor by appointment. TEXT: Required: Enhanced WebAssign with ebook LOE Printed Access Card for One-Term Math and Science Brooks/Cole ISBN: Recommended: Algebra and Trigonometry, 8 th Edition, Larson/Hostetler, Brooks Cole ISBN: INSTRUCTOR: Kathirave Giritharan Office: E209D Phone: (618) Ext.: DATE: Summer, 2015 John A. Logan College Telephone Numbers Carterville Campus Carterville and Williamson County... (618) , (618) Carbondale and Jackson County... (618) , (618) Du Quoin area... (618) West Frankfort area... (618) Crab Orchard, Gorham, and Trico Areas Alongi DQ Extension Center... (618) West Frankfort Extension Center... (618) John A. Logan College does not discriminate on the basis of race, religion, color, national origin, disability, age, sexual orientation, or gender orientation a SM 15

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