# Course Syllabus for College Algebra

**Textbook:
**Essentials of College Algebra. Lial, Hornsby, and Schneider.
Pearson/Addison-Wesley: Boston,

2008.

**Catalog Description:
**Topics include quadratics, polynomial, rational, logarithmic, and exponential
functions; systems of

equations; matrices; and determinants. A departmental final examination will be given in this course.

**Prerequisites:
**Math 0312 or MATH 0112: Pass with “C” or better

Or

Acceptable placement test score.

**Credits:** 3 credit hours (3 lecture).

**Course Intent & Audience:
**This course is designed as a review of advanced topics in algebra for science
and engineering students

who plan to take the calculus sequence in preparation for their various degree programs. It is also

intended for non-technical students who need college mathematics credits to fulfill requirements for

graduation and prerequisites for other courses. It is generally transferable to other disciplines as math

credit for non-science majors.

**Policy on Late Assignments and Make–Up Exams: **All homework assignments will be
due on the

day of each exam. Also, there will be NO makeup exams. If you miss an exam, the
final exam will

count twice. It will count once for the missed exam and again for the final exam
itself. If you know in

advance that you will be absent on an exam day, please let me know as soon as
possible.

**Academic dishonesty:
**All students are required to exercise academic honesty in completion of all
tests and assignments.

Cheating involves deception for the purpose of violating testing rules. Students who improperly assist

other students are just as guilty as students who receive assistance. A student guilty of a first offense

will receive a grade of “F” on the quiz or test involved. For a second offense, the student will receive

a grade of “F” for the course. The use of recording devices, including camera phones and tape

recorders, is prohibited in all locations where instruction, tutoring, or testing occurs. Students with

disabilities who need to use a recording device as a reasonable accommodation should contact the

Disability Services Office for information.

**Resources and supplemental instruction:
**Any student enrolled in Math 1314 at HCC has access to the math tutoring labs
which are staffed with

student assistants who can aid students with math problems and offer help with MyMathLab. In

addition, free online tutoring is provided. One other resource is the student solutions manual that may

be obtained from the bookstore.

**Students with Disabilities:
**Any student with a documented disability (e.g. physical, learning, psychiatric,
vision, hearing, etc.)

who needs to arrange reasonable accommodations must contact the Disability Support Services Office

at this college at the beginning of the semester. To make an appointment, please call 713.718.8420.

Professors are authorized to provide only the accommodations requested by the Disability Support

Office.

**Course Schedule**

**Chapter 1: Equations and Inequalities
**1.4 Quadratic Equations (Omit Example 8.)

1.5 Applications and Modeling with Quadratic Equations (Pythagorean

Theorem and simple area problems ONLY)

1.6 Other Types of Equations (Omit Example 5 and Example 8.)

1.7 Inequalities

1.8 Absolute Value Equations and Inequalities

**Chapter 2: Graphs and Functions
**2.1 Graphs of Equations

2.2 Functions

2.3 Linear Functions

2.4 Equations of Lines; Curve Fitting

2.5 Graphs of Basic Functions (Omit Greatest Integer Function.)

2.6 Graphing Techniques

2.7 Function Operations and Composition

**Chapter 3: Polynomial and Rational Functions
**3.1 Quadratic Functions and Models (Include applications like

problems 51 & 63.)

3.2 Synthetic Division

3.3 Zeros of Polynomial Functions (In Example 6, use an

imaginary zero with 1 term.)

3.4 Polynomial Functions: Graphs, Applications, and Models

(Omit Intermediate Value and Boundedness Theorems.)

3.5 Rational Functions: Graphs, Applications, and Models

3.6 Variation

**Chapter 4: Exponential and Logarithmic Functions
**4.1 Inverse Functions

4.2 Exponential Functions

4.3 Logarithmic Functions

4.4 Evaluating Logarithms and the Change-of-Base Theorem (Omit

application problems.)

4.5 Exponential and Logarithmic Equations (Omit application problems.)

4.6 Applications & Models of Exponential Growth & Decay

(Doubling time type problems ONLY)

**Chapter 5: Systems and Matrices
**5.1 Systems of Linear Equations (two variables only)

5.5 Nonlinear Systems of Equations

5.7 Properties of Matrices

5.3 Determinant Solution of Linear Systems (Omit Cramer’s Rule.)

**MyMathLab Course ID: Hatton54305
Campus Zip Code: 77022**

**Test Schedule:**

Test |
Chapters Covered on Test |
Date |

Test #1 | Chapter 1 | TBA |

Test #2 | Chapter 2 | TBA |

Test #3 | Chapter 3 | TBA |

Test #4 | Chapter 4 | TBA |

Final Exam | Chapters 1 - 5 | December 9^{th} or 11^{th}11am-1pm |

**Course Objectives:
**At the completion of this course, a student should be able to:

1. Solve quadratic equations in one variable by factoring , using the square root
property, completing

the square , and using the quadratic formula.

2. Find the distance and midpoint between two points in the Cartesian plane.

3. Solve radical equations , fractional equations , and equations of quadratic
form.

4. Recognize the equation of a straight line, graph the equation of a straight
line, find the slope and

intercepts of a line , know the relationship between the slopes of parallel and
perpendicular lines,

and be able to determine the equation of a line from information such as two
points on the line, or

one point on the line and the slope of the line.

5. Know the definition of a function, determine the domain and range of a
function, evaluate

expressions involving functional notation, simplify expressions involving the
algebra of functions,

graph functions by plotting points , know the definition of inverse functions,
and given a function

find its inverse.

6. Graph linear functions, quadratic functions, piecewise-defined functions,
absolute value functions,

polynomial functions, rational functions, exponential functions, and logarithmic
functions.

7. Solve linear inequalities and linear equations involving absolute value,
state the solution in interval

notation, and graph the solution.

8. Solve non-linear (quadratic and rational) inequalities, state the solution in
interval notation, and

graph the solution.

9. Understand vertical and horizontal shifts, stretching, shrinking, and
reflections of graphs of

functions.

10. Recognize the equation of a circle , sketch the graph of a circle, and find
the equation of a circle.

11. Determine the rational zeros of a polynomial.

12. Understand the inverse relationship between the exponential and logarithmic
functions.

13. Solve exponential and logarithmic equations.

14. Solve problems involving variation.

15. Perform operations with matrices, and find the determinants of matrices

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