# Math 1200 College Algebra

## Fall 2021 Final Exam: (TBA)

### Short-term illness Policy

“If you experience flu symptoms such as fever, a cough, sore throat, body aches, headache, chills or fatigue, please don't come to class. If your symptoms persist, please ask your parents to take you home or to seek assistance from Student Health Services so that you can be cared for in a setting that does not put others at risk.”

Please notify me through email (boczko@ohio.edu) so that attendance as well as grading policy may be adjusted.

### Learning Objectives

Develop mathematical thinking and communication skills; increase quantitative and logical reasoning abilities needed for informed citizenship and in the workplace; strengthen quantitative and mathematical abilities that will be useful in the study of other disciplines.

#### Chapter R. Review of Prerequisites

Sets and the Real Number Line; Models, Algebraic Expressions, and Properties of Real Numbers; Integer Exponents and Scientific Notation; Rational Exponents and Radicals; Polynomials and Multiplication of Radicals; Problem Recognition Exercises: Simplifying Algebraic Expressions; Factoring; Rational Expressions and More Operations on Radicals

#### Chapter 1. Equations and Inequalities (12)

Linear Equations and Rational Equations; Applications and Modeling with Linear Equations; Complex Numbers; Quadratic Equations; Problem Recognition Exercises: Simplifying Expressions Versus Solving Equations; Applications of Quadratic Equations; More Equations and Applications; Linear Inequalities and Compound Inequalities; Absolute Value Equations and Inequalities; Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities

#### Chapter 2. Functions and Graphs (14)

The Rectangular Coordinate System and Graphing Utilities; Circles; Functions and Relations; Linear Equations in Two Variables and Linear Functions; Applications of Linear Equations and Modeling; Problem Recognition Exercises: Comparing Graphs of Equations; Transformations of Graphs; Analyzing Graphs of Functions and Piecewise-Defined Functions; Algebra of Functions and Function Composition

#### Chapter 3. Polynomials and Rational Functions (12)

Quadratic Functions and Applications; Introduction to Polynomial Functions; Division of Polynomials and the Remainder and Factor Theorems; Zeros of Polynomials; Rational Functions; Problem Recognition Exercises: Polynomial and Rational Functions; Polynomial and Rational Inequalities; Problem Recognition Exercises: Solving Equations and Inequalities; Variation

#### Chapter 4. Exponential and Logarithmic Functions (8)

Inverse Functions; Exponential Functions; Logarithmic Functions; Problem Recognition Exercises; Analyzing Functions; Properties of Logarithms; Exponential and Logarithmic Equations; Modeling with Exponential and Logarithmic Functions

#### Chapter 5. Systems of Equations and Inequalities (2)

Systems of Linear Equations in Two Variables and Applications

### Topics

#### Chapter R. Review of Prerequisites

• R.1 Sets and the Real Number Line 2
• R.2 Models, Algebraic Expressions, and Properties of Real Numbers 17
• R.3 Integer Exponents and Scientific Notation 27
• R.4 Rational Exponents and Radicals 39
• R.5 Polynomials and Multiplication of Radicals 53
• Problem Recognition Exercises: Simplifying Algebraic Expressions 64
• R.6 Factoring 65
• R.7 Rational Expressions and More Operations on Radicals 76

#### Chapter 1. Equations and Inequalities

• Linear Equations and Rational Equations 100
• Applications and Modeling with Linear Equations 113
• Complex Numbers 125
• Problem Recognition Exercises: Simplifying Expressions Versus Solving Equations 148
• Applications of Quadratic Equations 148
• More Equations and Applications 158
• Linear Inequalities and Compound Inequalities 169
• Absolute Value Equations and Inequalities 179
• Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities 187

#### Chapter 2. Functions and Graphs

• 2.1 The Rectangular Coordinate System and Graphing Utilities 196
• 2.2 Circles 208
• 2.3 Functions and Relations 214
• 2.4 Linear Equations in Two Variables and Linear Functions 228
• 2.5 Applications of Linear Equations and Modeling 244
• Problem Recognition Exercises: Comparing Graphs of Equations 261
• 2.6 Transformations of Graphs 262
• 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions 275
• 2.8 Algebra of Functions and Function Composition 295

#### Chapter 3. Polynomials and Rational Functions

• 3.1 Quadratic Functions and Applications 320
• 3.2 Introduction to Polynomial Functions 333
• 3.3 Division of Polynomials and the Remainder and Factor Theorems 348
• 3.4 Zeros of Polynomials 361
• 3.5 Rational Functions 377
• Problem Recognition Exercises: Polynomial and Rational Functions 398–399
• 3.6 Polynomial and Rational Inequalities 399
• Problem Recognition Exercises: Solving Equations and Inequalities 412
• 3.7 Variation 413

#### Chapter 4. Exponential and Logarithmic Functions

• 4.1 Inverse Functions 432
• 4.2 Exponential Functions 444
• 4.3 Logarithmic Functions 458
• Problem Recognition Exercises: Analyzing Functions 473
• 4.4 Properties of Logarithms 474
• 4.5 Exponential and Logarithmic Equations 483
• 4.6 Modeling with Exponential and Logarithmic Functions 497

#### Chapter 5. Systems of Equations and Inequalities

• 5.1 Systems of Linear Equations in Two Variables and Applications 522

Prerequisites: PL1 or C or T or better in Math D004 Intermediate Algebra with Pre-Algebra or D005 Intermediate Algebra.

Textbook (Required): College Algebra 2nd Edition, by Miller and Gerken. McGraw Hill. ISBN 978-1-259-57046-9.

An e-book version comes standard with the software package ALEKS that we use in the course. Students do not need to purchase a hardcopy textbook unless they wish to.

Software: Students will need to use the ALEKS 360 software to complete the course. Students should check their Blackboard for the course code. The course materials are offered as inclusive access. Students can opt out if they wish. College credit plus students need to speak with their high school program administrators and contact the bookstore.

Material Covered:The purpose of Math 1200 is to refresh college algebra skills required to move on to Calculus, Statistics, and Psychology.

Learning Objectives: Develop mathematical thinking and communication skills; increase quantitative and logical reasoning abilities needed for informed citizenship and in the workplace; strengthen quantitative and mathematical abilities that will be useful in the study of other disciplines.

Attendance/Class Participation: Attendance on a regular basis is vital to your success in the course. The work done in class will help you succeed in the course and earn a better grade. Homework may be collected and quizzes given at the discretion of the instructor. Attendance and participation in class will improve your understanding of the material. Please note that calculators or cell phones are not to be used during class/exam.

#### Earning and Distribution of Points

Component and Points

In class: 8 x 25 = 200

Exam: 6 x 100 = 500,

ALEKS: 1 x 500 = 500

Final: 1 x 200 = 200

Total Points: 1400

• A 90% and above
• A- 85%-89.9%
• B+ 80%-84.9%
• B 75%-79.9%
• B- 70%-74.9%
• C+ 65%-69.9%
• C 60%-64.9%
• C- 55%-59.9%
• D+ 50%-54.9%
• D 45%-49.9%
• D- 40%-44.9%
• F Below 40

Makeup exams are not allowed unless there is an extenuating circumstance. Keeping this policy in mind, only the three hourly exams (out of 4) along with the quizzes, homework, and the final exam will be used to determine your grade according to the grade scheme and grade scale given above. Students missing an exam due to a university excused absence (e.g., student athletes) will be offered make-up exam(s); documentation must be provided to show that the exam was missed due to a university excused absence.

Final exam COMBINED-SECTION EXAMINATION, TBA. Please note that Final exam rooms may or may not be the same as your classrooms.

Help Sessions: SI sessions as well as math tutoring will be provided free of cost on certain evenings as well as during the day. These sessions will be announced. For more info, visit the Academic Achievement Center.

For info on Supplemental Instruction visit www.ohio.edu/si.

Academic Misconduct: Proper classroom decorum should be observed. Failure to do so will result in removal from theclass. Any cheating on exams will result in failure in the class and be reported to the Office of Community Standards and Student Responsibility, which may impose additional sanctions. You may appeal any sanctions through the grade appeal process. For more details, visit the university's Office of Community Standards and Student Responsibility page.

Special Needs: If you have specific physical, psychiatric, or learning disabilities and require accommodations, please let me know as soon as possible so that your learning needs may be appropriately met. Don’t forget to register with the Office of Student Accessibility Services to obtain written documentation and to learn about the resources they have available.

Student Code of Conduct: Proper classroom decorum should be observed. Failure to do so will result in removal from the class. Any cheating on exams will result in failure in the class and be reported to the Office of Community Standards and Student Responsibility, which may impose additional sanctions. You may appeal any sanctions through the grade appeal process. For more details, visit the Office of Community Standards and Student Responsibility