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

# College Algebra -- Fall 2013

### From Mathematics Is A Science

**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: 6:30 - 9:00 pm Thursday at 516 Smith Hall.
- Instructor: Peter Saveliev (call me Peter)
- Office: 325 Smith Hall
- Office Hours: WF 1:30-2:30 and MW 4:00-5:00, 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
- Computer Restrictions: graphic calculator TI-83 or TI-83+
- Goals: understanding functions, plus good familiarity with major classes of functions, graphing, solving equations -- getting ready for calculus
- Quizzes: taken from the exercise sets, open book
- Homework: online via Webwork
- Grade Breakdown: TOTAL = .05×A + .25×Q + .30×HW + .40×F
- attendance and participation: 5%
- quizzes: 25%
- homework: 30%
- final exam: 40%

- Letter Grades: A: 90-100, B: 80-89, C: 70-79, D: 60-69, F: <60

See also **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

Updated regularly...

- week 1, 8/29:
**First HW called Review_set is due Wednesday 9/4 at midnight.**

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, 9/5:
**Second HW called Sections1.1-1.2 is due Wednesday 9/11 at midnight.**

Chapter 1. Equations and Inequalities

1.1 Linear Equations

1.2 Quadratic Equations

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

1.4 Radical Equations; [Equations Quadratic in Form; Factorable Equations]

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, 9/12:
**Third HW called Sections1.4-1.5-1.6 is due Wednesday 9/17 at midnight.**

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, 9/19:
**Fourth HW called Sections1.7-2.1-4 is due Wednesday 9/24 at midnight.**

Chapter 3. Functions and Their Graphs

3.1 Functions

- week 5, 9/26:
**Fifth HW called Sections3.1-3.2 is due Wednesday 10/2 at midnight.**

3.2 The Graph of a Function

- week 6, 10/3:
**Sixth HW called Sections3.2-3.3 is due Wednesday 10/9 at midnight.**

3.3 Properties of Functions

3.4 Library of Functions; Piecewise-defined Functions

- week 7, 10/10:
**Seventh HW called Sections3.4-3.5 is due Wednesday 10/16 at midnight.**

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, 10/17:
**Eighth HW called Sections3.5-4.2 is due Wednesday 10/23 at midnight.**

4.3 Quadratic Functions and Their Properties

4.4 Quadratic Models; Building Quadratic Functions from Data

Chapter 5. Polynomial and Rational Functions

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

- week 9, 10/24:
**Ninth HW called Sections4.3-5.2 is due Wednesday 10/30 at midnight.**

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, 10/31:
**Tenth HW called Sections5.2-6.1 is due Wednesday 11/6 at midnight.**

6.1 Composite Functions

- week 11, 11/7:
**Eleventh HW called Sections6.1-6.2 is due Wednesday 11/13 at midnight.**

Chapter 6. Exponential and Logarithmic Functions

6.2 One-to-One Functions; Inverse Functions

- week 12, 11/14:
**Twelfth HW called Sections6.2-6.3 is due Wednesday 11/20 at midnight.**

6.3 Exponential Functions

6.4 Logarithmic Functions

6.5 Properties of Logarithms

- week 13, 11/21:
**Thirteenth HW called Sections6.3-6.6 is due Wednesday 5/4 at midnight.**

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, 12/5:
**Fourteenth HW called Sections6.6-8.1 is given for practice only.**

6.9 Building Exponential, Logarithmic, and Logistic Functions from Data

8.1 Systems of Linear Equations: Substitution and Elimination

## 3 Notes

College Algebra -- Fall 2013 -- final exam, Thursday, December 12, 6:30-8:30 pm, same place.

All homework from 2013: Math130-HW.

Consider these old exams:

- Final exam 2011
- test 1: 2008
- test 2: 2005 2008
- test 3: 2005