# Syllabus

Course Materials
Assignments
Exams
Getting Started
Getting Help

## Placement Test

Take this placement test before you begin this course. This placement test will help you know if you are ready for MATH 110, or if you need to brush up on your math skills first.

## BYU Course Outcomes

This course prepares students to take courses in calculus, statistics, mathematics for elementary education majors, and other areas where algebra skills are required. Fluent skills in algebra are necessary for success in any area that uses mathematical analysis. The mastery of college algebra requires well-developed skills, clear conceptual understanding, and the ability to model phenomena in a variety of settings. College Algebra develops the concepts of graphing functions, polynomial and rational functions, exponential and logarithmic functions, conic sections, solving systems of equations, the binomial theorem, permutations, combinations, and probability.

Upon successful completion of this course, students should be functional in or able to

Functions and Their Graphs

1. Graph functions using horizontal and vertical shifts.
2. Graph functions using compressions and stretches.
3. Graph functions using reflections about the x-axis or y-axis.
4. Form composite functions and find the domain.
5. Determine the inverse of a function and graph an inverse function from the graph of a function.

Functions, polynomials, Theory of Equations, Rational Functions, etc.

2. Polynomial functions.
3. Rational functions.
4. Polynomial and rational inequalities.
5. The real zeros of a polynomial function.
6. Complex zeros and the fundamental theorem of algebra.

Exponential and Logarithmic Functions

1. Exponential functions.
2. Logarithmic functions.
3. Properties of logarithms.
4. Logarithmic and exponential equations.
5. Compound interest.
6. Exponential growth and decay.

Conic Sections

1. Graph parabolas, ellipses, and hyperbolas.
2. Find the equation of parabolas, ellipses, and hyperbolas.
3. Discuss the equation of conic sections to find vertices, foci, asymptotes, and the directrix.
4. Work with conic sections that are not centered at the origin.

Systems of Equations and Inequalities

1. Solve systems of linear equations using substitution and elimination.
2. Solve systems of non-linear equations using substitution and elimination.
3. Decompose rational functions using partial fractions.

Sequences and Induction

1. Find terms in a sequence using a formula and a recursive definition.
2. Find a formula for terms in an arithmetic sequence and be able to add the terms of a finite arithmetic sequence.
3. Find a formula for the terms in a geometric sequence and be able to find the sum of finite and infinite geometric series.
4. Prove statements using mathematical induction.

Counting, Probability, and the Binomial Theorem

1. Work with operations on sets such as union, intersection and complement and count the number of elements in a set.
2. Compute permutations and combinations.
3. Evaluate binomial coefficients and expand binomials using the binomial theorem.
4. Compute probabilities of equally likely outcomes.

## Course Materials

### Course Text

This course uses both a customized textbook and online resources. You may use the custom edition or the full 10th edition, and there are hardcopy and e-book options. Whichever you choose, however, be sure to purchase access to MyMathLab!

The textbook used for this course is:

• Sullivan, Michael. College Algebra, Custom Edition for Brigham Young University with MyMathLab (Upper Saddle River, NJ: Prentice-Hall, 2016). This custom edition is taken from College Algebra, 10th edition, by Michael Sullivan.

We cover almost all of the material in the text. You will be responsible for knowing what is in the text, so you should read it thoroughly.

### MyMathLab

You will use MyMathLab to complete the homework assignments for the course. MyMathLab is an online resource created by the publisher of the textbook. If you purchase MyMathLab bundled with the textbook, it is important that you get a new copy of the textbook since will contain your student access code for registering on MyMathLab. (You could purchase access separately, but it will likely be more expensive unless you purchse access and the e-book.)

## Course Organization

The course consists of 5 units that will guide you in preparing for the exams. Each unit includes an introduction to the topic, a set of learning outcomes, the reading assignment, and the homework assignments for each unit. At the end of each unit, there is an exam with a practice exam to help you prepare.

### Unit 1: Parent Functions

• Graphing Techniques: Transformations (3.5)
• Quadratic Functions and Their Properties (4.3)

### Unit 2: Techniques and Theorems

• Polynomial Functions and Models (5.1)
• Properties of Rational Functions (5.2)
• The Graph of a Rational Function (5.3)
• Polynomial and Rational Inequalities (5.4)
• The Real Zeros of a Polynomial Function (5.5)
• Complex Zeros; Fundamental Theorem of Algebra (5.6)

### Unit 3: Logarithms and Exponents

• Composite Functions (6.1)
• One-to-One Functions; Inverse Functions (6.2)
• Exponential Functions (6.3)
• Logarithmic Functions (6.4)
• Properties of Logarithms (6.5)
• Logarithmic and Exponential Equations (6.6)
• Financial Models (6.7)
• Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models (6.8)
• The Parabola (7.2)

### Unit 4: Sequences, Series, and Systems of Equations

• The Ellipse (7.3)
• The Hyperbola (7.4)
• Systems of Linear Equations: Substitution and Elimination (8.1)
• Partial Fraction Decomposition (8.5)
• Systems of Nonlinear Equations (8.6)
• Sequences (9.1)
• Arithmetic Sequences (9.2)
• Geometric Sequences; Geometric Series (9.3)
• Mathematical Induction (9.4)
• Counting (10.1)

### Unit 5: Counting Probability and Binomial Theorem

• Permutations and Combinations (10.2)
• Binomial Theorem (9.5)
• Probability (10.3)

## Assignments

### Placement Test

The placement test is designed to let you know if you are prepared for this class. It is in the syllabus and you can take it before you register for MATH 110. It is optional, and does not count towards your grade, but I strongly recommend you take it. In addition to the syllabus, it is also located after the syllabus in the Welcome section of this course. (You do not need to do both.)

### Syllabus Quiz

The syllabus quiz has multiple-choice questions based on the content of the syllabus. You must pass it with 100% before continuing on to the rest of the course. You can take this quiz as many times as needed to achieve 100%. It does not count as part of your overall course grade, but it is mandatory.

### Homework in MyMathLab

Every unit has homework assignments that you will do in MyMathLab. The homework assignments in MyMathLab are worth 20% of your course grade. Please be aware that your homework scores can be found in MyMathlab—and will exist only in MyMathLab—until you complete and submit the Homework Score Transfer Request assignment (below).

### How to Register for MyMathLab

To gain access to MyMathLab, you must do two things. First, purchase your MyMathLab student access code, and second, register in the MATH 110 MyMathLab course. Instructions for how to register are in Start Here! located in the “Getting Started, How to Succeed, and How to Get Help” section of this course.

## Exams

All exams are composed of multiple-choice questions. Each exam is preceded by a practice exam that you may take as many times as you need to score 70% or better. You must earn 70% or better on the practice exam in order to take the accompanying exam and continue in the course.

You must get 50% on each exam before you can continue on in the course.

### Exam 1

Exam 1 counts for 5% of your grade, covers the review materials in unit 1, and will give you a feel for what the other exams will be like.

### Exams 2 through 4

Exams 2 through 4 are not comprehensive; they cover only the material from the units in between each exam. However, mathematics tends to be somewhat comprehensive in that you often need the skills from earlier sections to complete problems in later sections. They are each worth 15% of your grade.

### Final Exam

The final exam is comprehensive as well as covering the new material in unit 5. It is worth 30% of your grade, and you must pass the final exam to pass the course. Before you can request the final exam, you must have completed all of the earlier assignments and exams, and have your MyMathLab homework score posted (i.e. submit, and have a grade for, the Homework Score Transfer Request assignment).

Remember, once you request that your homework grade be posted, any changes you make to your homework grade on MyMathLab will not be reflected on your final course grade, so make sure you are satisfied with your scores before you request they be posted!

## Getting Started

After carefully reading this syllabus, take the placement test in your course (if you haven't already) and review any concepts you are not comfortable with. If you feel you are ready for MATH 110, take the syllabus quiz. Once you pass the syllabus quiz with 100 percent, go to Start Here!, which will lead you through registering for MyMathLab. From there, you may continue on with your course. Enjoy!

## Getting Help

Please see the “Getting Started, How to Succeed, and How to Get Help” section of this course for how to get help with math questions and to contact a tutor.

If you have questions about your scores within MyMathLab, start by making sure your access has not expired. If that is not the case, contact the Math Department secretaries. If it is a technical problem, please contact support at MyMathLab. MyMathLab has its own support team. If you have problems with MyMathLab, this is your best resource for getting help.

BYU Independent Study offers free appointments for MATH 110 help by means of in person, over the phone, and via Adobe Connect audio-visual services. The email for the Math Department secretaries is for course content related questions, NOT for technical difficulties. To sign up for a free appointment, visit BYU University Math Tutoring.

Assessment When to Submit Weight
Exam 1 At the end of unit 1 5%
Exam 2 At the end of unit 2 15%
Exam 3 At the end of unit 3 15%
Exam 4 At the end of unit 4 15%
MyMathLab Homework Score Transfer Request At the end of unit 5 and before requesting the final exam 20%
Comprehensive Final Exam After unit 5, when scores for the MyMathLab homework and exams 1–4 have been posted 30%
TOTAL 100%

A 92%–100% C 65%–71%
A− 87%–91% C− 60%–64%
B+ 84%–86% D+ 57%–59%
B 80%–83% D 53%–56%
B− 77%–79% D− 50%–52%
C+ 72%–76% E (fail) 49% or below

The materials used in connection with this online course are only for the use of students enrolled in this course for purposes associated with this course and may not be retained or further disseminated. Any copying or further dissemination of these materials may be subject to applicable U.S. Copyright Laws. For questions or more information, please visit the BYU Copyright Licensing Office website.

“Members of the BYU community who willfully disregard this Copyright Policy or the BYU Copyright Guidelines place themselves individually at risk of legal action and may incur personal liability for their conduct. The unauthorized use or distribution of copyrighted material, including unauthorized peer-to-peer file sharing, may subject individuals to civil and criminal liabilities, including actual and statutory damages, costs and fees of litigation, fines, and imprisonment

Violations of the Copyright Policy may result in university disciplinary action including termination of university enrollment or employment.” (Emphasis added. Excerpt taken from the BYU Copyright Policy)

## Preventing & Responding to Sexual Misconduct

In accordance with Title IX of the Education Amendments of 1972, Brigham Young University prohibits unlawful sex discrimination against any participant in its education programs or activities. The university also prohibits sexual harassment—including sexual violence—committed by or against students, university employees, and visitors to campus. As outlined in university policy, sexual harassment, dating violence, domestic violence, sexual assault, and stalking are considered forms of "Sexual Misconduct" prohibited by the university.

University policy requires all university employees in a teaching, managerial, or supervisory role to report all incidents of Sexual Misconduct that come to their attention in any way, including but not limited to face-to-face conversations, a written class assignment or paper, class discussion, email, text, or social media post. Incidents of Sexual Misconduct should be reported to the Title IX Coordinator at t9coordinator@byu.edu or (801) 422-8692. Reports may also be submitted through EthicsPoint at https://titleix.byu.edu/report or 1-888-238-1062 (24-hours a day).

BYU offers confidential resources for those affected by Sexual Misconduct, including the university’s Victim Advocate, as well as a number of non-confidential resources and services that may be helpful. Additional information about Title IX, the university’s Sexual Misconduct Policy, reporting requirements, and resources can be found at http://titleix.byu.edu or by contacting the university’s Title IX Coordinator.

## Accessibility Notice

BYU is committed to providing a working and learning atmosphere which reasonably accommodates persons with disabilities who are otherwise qualified to participate in BYU's programs and activities. In this spirit, BYU Independent Study aspires to improve web accessibility for users. While not required by law, the Web Content Accessibility Guidelines (WCAG) 2.0 Levels A and AA provide a wide range of helpful recommendations to make Web content more accessible. BYU Independent Study strives to apply WCAG 2.0 recommendations where feasible, but may deviate from any recommendations that would result in an undue hardship to BYU Independent Study or alterations to program and course content and objectives. If you have questions about accessibility, or if you need to report problems with any accessibility features please see our Accessibilities and Accommodations Web Page.

# Course Policies

These policies are specific to this course. For additional information about general policies, please refer to Independent Study Course Policies page.

## Assignments

1 placement test (not part of grade); 1 syllabus quiz (not part of grade, but required); MyMathLab homework for each section of each unit. The final homework grade will be transferred to the Independent Study course before the final exam (no resubmission allowed for this).

## Exams

4 proctored, computer-graded midcourse exams, and 1 proctored, computer-graded final exam. Note: Your homework grade must be posted to your Independent Study course before you request the final exam.

You must pass the final exam with 50% in order to earn credit for the course. You may retake each exam once (for a fee) if you do not pass the first time. If, after two attempts each for exams 1 through 4, you still have not achieved 50% proficiency, you may petition Independent Study for a third attempt for a fee. (Such exceptions for additional exam retakes require approval.)

No matter what your score, after the third attempt, you may move on in the course. (You will have to contact Independent Study to arrange this.) Remember: The exam retakes come with a fee, so it is in your best interests to prepare well for the exams and pass the first time!

You must pass the final exam to pass the course.

Retake an exam for a fee.

You must pass the final exam to pass the course. BYU considers a D− or better passing, so you must get at least 50% on the final exam and 50% overall in the course to pass. If you are not a matriculated BYU student, your institution may have different policies on what grade is considering passing or what will be accepted for your specific program.

Credit for MATH 110 will be posted on your BYU transcript in approximately 24 hours of completing the course. Once the course grade has been posted to your BYU transcript, you can have a transcript sent to another institution for credit. Please note that if you need credit for MATH 110 for graduation or acceptance deadlines, you should finish the course at least 3 weeks before transcripts must be sent.

## Getting Help

You may go to Independent Study’s website for assistance (such as technical problems with your Independent Study course) or questions about course policies and other concerns.

For content questions email Independent Study math tutors at virtualmathlab@byu.edu

Note: The Harold B. Lee Library website provides a number of online resources and librarians are available via phone, chat, and email to answer questions about library-related issues.

## Inappropriate Use of Course Content

All course materials (e.g., outlines, handouts, syllabi, exams, quizzes, media, lecture content, audio and video recordings, etc.) are proprietary. Students are prohibited from posting or selling any such course materials without the express written permission of BYU Independent Study. To do so is a violation of the Brigham Young University Honor Code.

Department of Independent Study
Division of Continuing Education
Brigham Young University
120 MORC
Provo, Utah 84602-1514
USA