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This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# College Algebra -- Fall 2014

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MTH 130 College Algebra. 3 hrs. Polynomial, rational, exponential, and logarithmic functions. Graphs, systems of equations and inequalities, sequences. (PR: Math ACT 21 or above)

• Time and Place: 5:00 - 6:15 pm Tuesday-Thursday at 511 Smith Hall.
• Instructor: Peter Saveliev (call me Peter)
• Office: 713 Smith Hall
• Office Hours: MTR 3:00-4:30, or by appointment
• Office Phone: x4639
• E-mail: saveliev@marshall.edu
• Class Web-Page: math01.com
• Prerequisites: solid algebra skills, some knowledge of Cartesian coordinates, familiarity with basic functions
• Texts: College Algebra by Sullivan 9th edition
• Computer Restrictions: graphic calculator TI-83 or TI-83+
• Outcomes: the student will learn to recognize and use functions, including the major classes of functions, graph these functions, solve equations, and become prepared for calculus
• Activities: the student will practice each outcome via the homework given in the textbook and online.
• Evaluation: the student achievement of each outcome will be assessed via:
• Grade Breakdown: TOTAL = .05×A + .55×(Q + H) + .40×F
• attendance and participation: 5%
• quizzes and online homework: 55%
• final exam: 40%

For details, see Course policy.

Mathematics Tutor Lab: Smith Music 115

## 1 Lectures

They will appear exactly as you see them in class and, as the course progresses, will be updated weekly.

## 2 Schedule

• week 1, 8/25: First HW called Review_set is due Friday 8/29 at midnight. Quiz

Review Chapter

R.1 Real Numbers

R.2 Algebra Essentials

R.3 Geometry Essentials

R.4 Polynomials

R.5 Factoring Polynomials

R.7 Rational Expressions

R.8 nth Roots; Rational Exponents

• week 2, 9/1: Second HW called Sections1.1-1.2 is due Friday 9/5 at midnight. Quiz

Chapter 1. Equations and Inequalities

1.1 Linear Equations

1.3 [Complex Numbers; Quadratic Equations in the Complex Number System]

1.5 Solving Inequalities

1.6 Equations [and Inequalities] Involving Absolute Value

1.7 Problem Solving: Interest, Mixture, [Uniform Motion, and Constant Rate Job Applications]

• week 3, 9/8: Third HW called Sections1.4-1.5-1.6 is due Friday 9/12 at midnight. Quiz

Chapter 2. Graphs

2.1 The Distance [and Midpoint] Formulas

2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

2.3 Lines

2.4 Circles

• week 4, 9/15: Fourth HW called Sections1.7-2.1-4 is due Friday 9/19 at midnight. Quiz

Chapter 3. Functions and Their Graphs

3.1 Functions

• week 5, 9/22: Fifth HW called Sections3.1-3.2 is due Friday 9/26 at midnight. Quiz

3.2 The Graph of a Function

• week 6, 9/29: Sixth HW called Sections3.2-3.3 is due Friday 10/3 at midnight. Quiz

3.3 Properties of Functions

3.4 Library of Functions; Piecewise-defined Functions

• week 7, 10/6: Seventh HW called Sections3.4-3.5 is due Friday 10/10 at midnight. Quiz

3.5 Graphing Techniques: Transformations

3.6 Mathematical Models: Building Functions

Chapter 4. Linear and Quadratic Functions

4.1 Linear Functions and Their Properties

4.2 Building Linear Functions from Data

• week 8, 10/13: Eighth HW called Sections3.5-4.2 is due Friday 10/17 at midnight. Quiz

4.3 Quadratic Functions and Their Properties

Chapter 5. Polynomial and Rational Functions

5.1 Polynomial Functions and Models (through the middle of page 330)

• week 9, 10/20: Ninth HW called Sections4.3-5.2 is due Friday 10/24 at midnight. Quiz

5.2 Properties of Rational Functions

5.3 The Graph of a Rational Function

5.5 The Real Zeros of a Polynomial Function (pages 374-377)

• week 10, 10/27: Tenth HW called Sections5.2-6.1 is due Friday 10/31 at midnight. Quiz

6.1 Composite Functions

• week 11, 11/3: Eleventh HW called Sections6.1-6.2 is due Friday 11/7 at midnight. Quiz

Chapter 6. Exponential and Logarithmic Functions

6.2 One-to-One Functions; Inverse Functions

• week 12, 11/10: Twelfth HW called Sections6.2-6.3 is due Friday 11/14 at midnight. Quiz

6.3 Exponential Functions

6.4 Logarithmic Functions

6.5 Properties of Logarithms

• week 13, 11/17: Thirteenth HW called Sections6.3-6.6 is due Friday 11/21 at midnight. Quiz

6.6 Logarithmic and Exponential Equations (through solving logarithmic eqs. Top of page 461)

6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models

THANKSGIVING BREAK

• week 14, 12/1: Fourteenth HW called Sections6.6-8.1 is due Friday 12/05 at midnight. Quiz

6.9 Building Exponential, Logarithmic, and Logistic Functions from Data

8.1 Systems of Linear Equations: Substitution and Elimination

## 3 Exams

College Algebra -- Fall 2014 -- final exam, Tuesday, December 9, 5:00-7:00 pm, same place.

Each old exam is a small (<5%) sample of the types of problems that may appear: