# Math 1200 College Algebra

Asare: 115
Nicely: 115
Omineche: 127
Lee: 201
Fedah: 201
Herath: 235
Quansah: 237

### 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 (singhp@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

### Syllabus

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

Textbook (Required): College Algebra Essentials by Julie Miller McGraw-Hill, ISBN: 978-1259-1684 37/33, specially packaged for Ohio University students, comes in a shrink wrap with an access code to use Connectmath (electronic homework system). Connect Math class access code to be used in conjunction with the access code which is prepackaged with the book. In case you have financial difficulty, your teacher will provide you the free class access code (valid only for the first 2-3 weeks).

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.

Top 3 hourly exams (out of 4) 100 points each = 300 points

Quizzes, groupwork, written homework, attendance 40 points = 40 points

Online Connect Math Homework 60 points = 60 points

Final exam 150 points = 150 points

Total points 550 points

• 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..

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 soon. For more info, visit Tutoring Services or go to Alden 101.

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.

### Tentative Weekly Schedule, Spring 2019

No classes: January 21 (MLK holiday), Spring Break: March 10 - March 16

Exam 1 (R1-1.1): Feb 1
Exam 2 (1.2-1.4, 2.1- 2.3): Feb 22
Exam 3 (2.4-- 2.8 and 3.1-3.2): March 22
Exam 4 (3.3– 3.7, and 4.1-4.2): April 12
Final Exam (cumulative: R1- 5.1) Thursday, May 2, 2:30 pm

Week 1 (Jan. 14 - 18): Walk students through syllabus, website and Connect math, R1 - R3; HW due Jan. 20

Week 2 (Jan. 21 - 25): MLK holiday, R4 - R6, and mini evaluations; HW due Jan. 27

Week 3 (Jan. 28 - Feb.1): R7, 1.1, review for exam 1 (Feb. 1): R1 - 1.1; HW due Feb. 3

Week 4 (Feb. 4 - 8): Go over exam 1, 1.2 - 1.5; HW due Feb. 10

Week 5 (Feb. 11 - 15): 1.6 - 1.8, 2.1; HW due Feb. 17

Week 6 (Feb. 18 - 22): 2.2 - 2.3, review for exam 2 (Feb. 22): 1.2 - 1.8, 2.1 - 2.3; HW due Feb. 24

Week 7 (Feb. 25 - March 1): Go over exam 2, 2.4 - 2.6; HW due March 3

Week 8 (March 4 - 8): 2.7 - 2.8; HW due March 10

Week 9 (March 11 - 15): No classes (Spring Break)

Week 10 (March 18 - 22): 3.1 - 3.2, review for exam 3 (March 22): 2.4 - 2.8 and 3.1-3.2; HW due March 24

Week 11 (March 25 - 29): Go over exam 3, 3.3 and 3.5; HW (excluding 3.5) due March 31

Week 12 (April 1 - 5): 3.5 - 3.7; HW (including 3.5) due April 7

Week 13 (April 8 - 12): 4.1, 4.2, review for exam 4 (April 12): 3.3, 3.5 - 3.7, 4.1 - 4.2; HW due April 14

Week 14 (April 15 - 19): Go over exam 3; 4.3 - 4.5; HW due April 21

Week 15 (April 22 - 26): 4.6, 5.1 and applications; review for final exam; HW due April 28

Week 16: Final Exam (R1-5.1), Thursday, May 2, 2:30 p.m.

Homework :  You need to have class access code for your section (see below) and the access code which comes with your book (in a shrink wrap). These two codes will enable you to log on to www.connectmath.com to do your homework.

Note: If you buy a used book, you will have to buy an access code separately (not a good idea).

#### Section # & Class Access Code

• 100   AKJLT-DCXFG
• 101   CKJYW-9XU66
• 102   XQT6D-CN6LW
• 105   QVYWC-QH4WW
• 106   UWCNV-EJNCH
• 107   6NAWK-9VQWF
• 108   CND3M-LRHWD
• 109   KRPQG-WPX4K
• 110   4966F-VJXW9
• 111   W4ML6-AA9DC
• 112   KFJMJ-LRVJD
• 114   CAETN-UH9HA

#### Section # & Free Access Class Code

Those of you who cannot buy the book immediately, use the following free Financial Aid Access Codes (FAAC) to do the homework. Please note that these FAAC access code will work only for the first three weeks of the semester.

• 100   E563A-C3F8B-DAA0B-9AB76
• 101   6F7DD-CD0AC-E025F-5A5C5
• 102   2CBC0-4C696-E807C-99EED
• 105   42E30-E867C-AF1C4-1D414
• 106   6A205-E8764-1B158-79B94
• 107   3FC6A-9F5EA-340C4-5B004
• 108   9675A-CEDBC-BD482-F9DB0
• 109   2F77C-88F2B-5A901-38CC1
• 110   3FAED-B73C0-1B03A-A472B
• 111   00B51-5FFAB-CB39B-93EC8
• 114   3DB10-427B3-54881-5C2D5

### Exams & Solutions

#### Previous Exams

##### Spring 2014

Departmental Social Media

College of Arts & Sciences