College Algebra on the Internet Course Syllabus *Syllabus subject to change*

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College Algebra on the Internet

Course Syllabus

*Syllabus subject to change*

Course: MATH 1314

Instructor: Mary L. Hatsell, M.S.

Phone: 298-8356 (office), 1-800-460-4636 ext. 8356

E-mail: hatsell@templejc.edu

Web Address: www.templejc.edu/dept/Math/mhatsell/Hatsell.htm

Required Text: College Algebra, 5 th edition by Robert F. Blitzer with MyMathLab Student Access Code Folder

(This is not the MyMathLab Edition of the textbook.)

Evaluation: Homework 15%

Five quizzes 25%

Five tests 35%

Final exam 25%

Grading Scheme: A 89.5% +

B 79.5% to 89.4%

C 69.5% to 79.4%

D 59.5% to 69.4%

Math Tutoring Lab:

F below 59.5%

Temple College has a Math Tutoring Lab designed to help students with courses in mathematics. Lab hours will begin the second week of classes and will depend upon instructor schedules. Information regarding the lab can be obtained by contacting the lab coordinator, Ms. Paula Talley, at (254) 298-8269 or at ptalley@templejc.edu

. The lab is located in the

Math & Biomedical Science Building (MBS). Students are encouraged to visit the Math Lab for assistance whenever possible.

Attendance Warning:

The instructor reserves the right to drop students for non-attendance (non-participation/no activity for an extended period of time). Nevertheless, it is the st udent’s responsibility to officially withdraw from the class if he or she wishes to drop. To officially withdraw, students must complete a withdrawal process with the registrar or the admissions and records office at their school.

For Temple College students, the last day to drop this 16-week course is April 13 th .

Orientation/Registration:

Students musts access the Desire2Learn (D2L) platform using instructions received in an e-mail sent to each registered student’s TC e-mail account (or alternate email account for VCT students). Once in D2L, click on the link for this course (you may need to search for “Math 1314 Online” and choose the course for the current semester). Inside the course and within the D2L Getting Started window are registration instructions. All students registered for this course will also register into MyMathLab online at www.pearsonmylab.com

. MyMathLab can also be accessed through a link in D2L.

Course Organization:

The curriculum for this course will cover five chapters (Chapters 2, 3, 4, 5, 6, & 8 in the textbook) with homework, quizzes, and tests over each chapter plus a comprehensive final exam. All of these graded assignments will be completed and graded on-line using MyMathLab. Due dates are noted on the course calendar within MyMathLab. Assignments from each chapter are due the day the test is taken and will not be available for submission or print out after the test. Most assignments may be printed out until the due date for the chapter passes. Some assignments allow multiple chances for completion. This class is officially a semester-long course; however, students can finish early if they work ahead of the official schedule. Due dates are of utmost importance. If you anticipate the slightest possibility of technical difficulty —begin early to allow time for disasters—technical or otherwise.

Plan now for the unexpected life occurrences that will attempt to delay your progress. Pre-planning for these negates the necessity for extensions.

PLEASE NOTE THAT IT IS YOUR RESPONSIBILITY TO ADJUST YOUR SCHEDULE AND COURSE

PROGRESSION TO ACCOMMODATE THE POSTED CALENDAR FOR YOUR CAMPUS AND YOUR TESTING

CENTER. LACK OF PLANNING ON YOUR PART DOES NOT CONSTITUTE AN EXTENSION ON MY PART.

Official Due Dates (chapter assignments —including tests—are due on or before these dates):

Chapter 2

February 6 th

Chapter 3

February 27 th

Chapter 4

March 26 th

Chapters 5 & 6

April 16 th

Chapter 8

April 30 th

Final Exam

May 7 th

On-line Homework (untimed; unproctored; 15% of overall grade): Each section within a chapter has a homework assignment within MyMathLab that is to be submitted for a grade. Up until the due date, homework may be submitted multiple times to achieve a higher score. After the due date, homework will no longer be available for submission.

Students may print homework assignments for easier viewing and future study. Homework assignments are fairly short and are well-supported by the appropriate section in the text.

On-line Quizzes A.K.A. “Practice Exams” (untimed; unproctored; 25% of overall grade): Once all homework assignments have been submitted for a grade, the student should then attempt the chapter quiz (practice exam) within MyMathLab.

These assignments are designed to aid students in pulling the material together before attempting the test. Up until the due date, practice exams (quizzes) may be submitted multiple times in an effort to master the material. After the due date, practice exams will no longer be available for submission.

Questions on the practice exams (quizzes) are an accurate reflection of the actual chapter test; therefore, a minimum score of 70 is required on the practice exam (quiz) before access is granted to the test.

On-line Tests (timed; proctored; 35% of overall grade): After completing the homework and the quiz for a particular chapter, the student will then have access to the on-line test for that chapter. Testing will be proctored and is password protected.

Temple College students take their tests in the Testing Center (254-298-8586). Students should call the testing center to ensure availability.

Students from remote colleges will take their tests at the remote college. Virtual College of Texas (VCT) students should contact their VCT coordinator to determine the name of the proctor and the location of their testing site.

Final Exam (timed; proctored; 25% of overall grade): This exam is on paper but will be taken at the testing center.

Students should take tests on or before the due dates listed in the table above. The on-line tests will not be available after the due date.

A photo id will be required at the testing center. Graphing calculators are allowed as well as materials such as a pencil, eraser, ruler, scratch paper, and graphing paper. No tests may be taken after the final exam date. The final exam will be on or before Monday, May 7 th .

Where Do I Get Help?????

Technical Assistance: Toll free 1-800-677-6337, Mon.

—Fri. 9 am to 6 pm EST.

Tutoring: Free access to the AW Tutor Center —Toll free 1-888-777-0463, Sun.—Thurs. 5 pm to 12 am

EST; www.aw-bc.com/tutorcenter/math.html

Instructor Assistance: E-mail — hatsell@templejc.edu

; Call —(254) 298-8356 (office), 1-800-460-4636 ext. 8356

Handouts & Required Text:

Some material may be posted in pdf files within D2L. The entire textbook is loaded into MyMathLab as a convenience to the student. Our paperback, customized hard copy of this book includes only certain chapters deemed necessary by instructors of this course and allows a price reduction for the student. Contact the Temple College Bookstore (254-298-

8575) for pricing on the required bundle which includes the customized edition of the book and the access code for

MyMathLab.

Calculators:

Students are required to have a graphing calculator. The instructor recommends and readily supports the Texas

Instruments graphing calculators models TI 83, TI 83+, TI 84, and TI 84+. Questions regarding these models of graphing calculators are certainly welcomed. For instructions on using the extensive number of various other calculator models, consu lt your owner’s manual.

Academic Integrity and Disruptive Behavior:

Disruptive behavior, cheating, plagiarism, and/or academic dishonesty can lead to severe disciplinary sanctions. Students should refer to the Temple College Student Handbook regarding policies dealing with academic integrity and disruptive behavior. The student handbook can be found at www.templejc.edu

by hovering on Student Resources, sliding down to

Student Handbook, and clicking.

Violators of academic integrity at any level will receive one or a combination of academic sanctions that include

(but are not limited to) those listed in the student handbook. The sanction(s) to be applied will be at the instructor’s sole discretion.

Course Outline & Content:

 Chapter Two —UNIT DUE FEBRUARY 6 TH

 2.1 Basic Functions and Their Graphs

 2.2 More on Functions and Their Graphs

 2.5 Transformations

 2.6 Combinations of Functions; Composite Functions

 2.7 Inverse Functions

 Practice Exam Chapter 2— must make a 70 to access Chapter 2 Exam

 Chapter 2 Exam

 Chapter Thee —UNIT DUE FEBRUARY 27 TH

 3.1 Quadratic Functions

 3.2 Polynomial Functions and Their Graphs

 3.3 Dividing Polynomials: Remainder and Factor Theorems

 3.4 Graphing Polynomial Functions

 3.5 Graphing Rational Functions

 Practice Exam Chapter 3— must make a 70 to access Chapter 3 Exam

 Chapter 3 Exam

 Chapter Four —UNIT DUE MARCH 26 TH

 4.1 Exponential Functions

 4.2 Logarithmic Functions

 4.3 Properties of Logarithms

 4.4 Exponential & Logarithmic Equations

 4.5 Exponential Growth & Decay—Modeling Data

 Practice Exam Chapter 4— must make a 70 to access Chapter 4 Exam

 Chapter 4 Exam

 Chapters Five and Six —UNIT DUE APRIL 16 TH

 5.1 Solving Systems of Linear Equations—Two Unknowns

 5.2 Solving Systems of Linear Equations—Three Unknowns

 6.1 Gaussian & Gauss-Jordan

 6.2 Inconsistent and Dependent Systems

 6.3 Matrix Operations

 6.4 Multiplicative Inverses of Matrices and Matrix Equations

 6.5 Determinants, Cramer’s Rule and Some Applications

 5.5 Graphing Systems of Inequalities

 5.6 Linear Programming

 5.3 Partial Fraction Decomposition

 Practice Exam Chapters 5 & 6— must make a 70 to access Chapters 5 & 6 Exam

 Chapters 5 & 6 Exam

 Chapter Eight — UNIT DUE APRIL 30 TH

 8.1 Sequences and Summation Notation

 8.2 Arithmetic Sequences

 8.3 Geometric Sequences and Series

 8.5 Binomial Theorem

 Practice Exam Chapter 8— must make a 70 to access Chapter 8 Exam

 Chapter 8 Exam

 Comprehensive Final Exam — MAY 7 TH

Core Curriculum: State Criteria

Basic Intellectual Competencies (The following reflect the state-mandated competencies taught in this course.):

Reading

Listening

Critical Thinking

Perspectives (The following reflect the state-mandated perspectives taught in this course.):

Use logical reasoning in problem solving .

Exemplary Objectives (The following reflect the state-mandated exemplary objectives taught in this course.):

Mathematics: The objective of the mathematics component of the core curriculum is to develop a quantitatively literate college graduate. Every college graduate should be able to apply basic mathematical tools in the solution of real-world problems.

To apply arithmetic, algebraic, geometric, higher-order thinking and statistical methods to modeling and solving real-world situations.

To represent and evaluate basic mathematical information verbally, numerically, graphically, and symbolically.

To expand mathematical reasoning skills and formal logic to develop convincing mathematical arguments.

To use appropriate technology to enhance mathematical thinking and understand and to solve mathematical problems and judge reasonableness of the results.

To interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them.

To develop the limitations of mathematical and statistical models.

To develop the view that mathematics is an evolving discipline interrelated with human culture, and understand its connections to other disciplines.

Instructional Goals and Purposes:

This course will allow the learner to

1) create an academic atmosphere in which students may develop their intellects and skills and

2) complete courses so students may receive a certificate/an associate degree or transfer to a senior institution that offers baccalaureate degrees.

General Course Objectives:

Successful completion of this course will promote the general student learning outcomes listed below. The student will be able

1. To apply problem-solving skills through solving application problems.

2. To demonstrate arithmetic and algebraic manipulation skills.

3. To read and understand scientific and mathematical literature by utilizing proper vocabulary and methodology.

4. To construct appropriate mathematical models to solve applications.

5. To interpret and apply mathematical concepts.

6. To use multiple approaches - physical, symbolic, graphical, and verbal - to solve applications problems.

Specific Course Objectives:

Upon successful completion of the course, the student will be able

1. To evaluate a function from its graph, formula, or equation.

2. To determine if a relation is a function and state its domain and range given the graph or equation.

3. To perform algebraic operations and compositions with functions.

4. To categorize basic functions given their graphs or equations.

5. To graph the inverse of a function whose graph is given.

6. To solve linear, quadratic, logarithmic, exponential, radical and miscellaneous higher order equations.

7. To graph linear, quadratic, absolute value, radical, polynomial, piecewise, exponential and logarithmic functions and selected inverses.

8. To use symmetry and transformations to sketch graphs.

9. To solve linear systems of equations using a variety of methods.

10. To set up and solve applications involving functions and relationships.

11. To identify and apply sequences and series.

Students must be able to factor algebraic expressions, perform operations with rational expressions, and perform operations with exponential and radical expressions. If these skills are deficient, it is recommended that the student enroll in a remedial course to gain proficiency in these skills. In order to complete this course and receive a passing grade, the student must show proficiency in the following course objectives

Course Content:

Students will be required to do the following:

FUNCTIONS AND GRAPHS

1. Define a relation.

2. Define a function.

3. Evaluate functions.

4. Determine domain and range.

5. Use the vertical line test.

6. Graph functions and relations.

7. Identify increasing or decreasing functions.

8. Graph transformations of functions.

9. Form combinations of functions.

10. Form the compositions of functions.

11. Find and give definition of the inverse of functions.

LINEAR AND QUADRATIC FUNCTIONS

1. Graph linear and quadratic functions

2. Identify the vertex of a parabola

3. Solve linear and quadratic equations

4. Calculate and apply slope (prerequisite)

5. Write equations of lines (prerequisite)

6. Apply concepts of parallel and perpendicular lines (prerequisite)

7. Perform operations with complex numbers

`POLYNOMIAL AND RATIONAL FUNCTIONS

1. Analyze graphs of polynomials using end-behavior, leading coefficient test.

2. Perform synthetic division and long division.

3. State and use the Remainder Theorem.

4. State and use the Factor Theorem.

5. State and use the Rational Zero Theorem.

6. Solve polynomial equations.

7. Find vertical, horizontal and slant asymptotes.

8. Graph rational functions.

EXPONENTIAL AND LOGARITHMIC FUNCTIONS

1. Define the exponential and logarithmic functions.

2. Identify the properties of the exponential and logarithmic functions.

3. Graph exponential and logarithmic functions.

4. Use exponential and logarithmic models to solve problems.

5. Solve logarithmic and exponential equations.

MATRICES AND LINEAR SYSTEMS

1. Define a matrix.

2. Solve a linear systems using elimination

3. Solve a linear system using Gauss-Jordan Method

4. Solve a linear system using technology.

5. Model stated problems using matrices.

6. Find solutions to dependent systems.

7. Perform operations on matrices.

8. Find the inverse of a matrix.

9. Solve a linear system using the inverse.

10. Evaluate determinants.

11. Solve a linear system using Cramer's Rule.

12. Decompose rational expressions into partial fractions.

13. Solve applications using linear programming

SEQUENCES AND SERIES

1. Define a sequence.

2. Define an arithmetic sequence.

3. Find the nth term and the nth partial sum of an arithmetic sequence.

4. Model problems using arithmetic sequences.

5. Define a geometric sequence.

6. Find the nth term and the nth partial sum of a geometric sequence.

7. Find the sum of certain infinite geometric series.

8. State and use the Binomial Theorem

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