**NUMBER:** Math 1414

**COURSE TITLE:** College Algebra

**CREDIT HOURS: **

**4 LECTURE HOURS: 4
LAB HOURS: 0
CLN/REC HOURS: 0 **

**PREREQUISITE: **Math 1332 or TSI placement.

**COREQUISITE: **None

**TEXTBOOK: **

College Algebra, Custom Edition, available in August Only
at Collin’s

bookstores.

**SUPPLIES: **Graphing calculator required

**COURSE DESCRIPTION:**

Relations and functions: linear, polynomial, rational,
exponential, logarithmic and inverse functions,

composition of functions, absolute value, theory and systems of equations,
complex numbers,

matrices, sequences, and the binomial theorem.

**COURSE MEASURABLE LEARNING OBJECTIVES: **

Upon completion of this course the students should be able to do the following:

1. Analyze relations between variables

2. Classify and manipulate functions and their graphs

3. Find the zeros and factors of polynomials with real coefficients

4. Solve exponential and logarithmic equations with applications to growth and
decay

5. Use matrices to solve systems of linear equations

6. Analyze sequences, including arithmetic and geometric sequences

**COURSE REQUIREMENTS: **

Attending class

Completing homework assignments

Completing labs

Completing required exams

**COURSE FORMAT:**

Lecture and guided practice.

**METHOD OF EVALUATION: **

A minimum of four written exams and a comprehensive final
exam. Homework and/or quizzes may be

used in place of one exam or in addition to exams. The weight of each of these
components of

evaluation will be specified in the individual instructor’s addendum to this
syllabus. All out-of-class

course credit, including take-home exams, home assignments, service-learning,
etc. may not exceed

25% of the total course grade; thus, at least 75% of a student’s grade must
consist of exams given in

the class or testing center, and no student may retake any of these exams.

**ATTENDANCE POLICY: **

Attendance is expected of all students. If a student is
unable to attend, it is his/her responsibility to

contact the instructor to obtain assignments. Please see the schedule of classes
for the last day to

withdraw.

**RELIGIOUS HOLY DAYS:**

In accordance with section 51.911 of the Texas Education
Code, the college will allow a student who

is absent from class for the observance of a religious holy day to take an
examination or complete an

assignment scheduled for that day within a reasonable time. A copy of the state
rules and procedures

regarding holy days and the form for notification of absence from each class
under this provision are

available from the Admissions and Records Office.

**COURSE REPEAT POLICY:**

All students may repeat this course only once after
receiving a grade, including W. For example

students who have taken this course twice have to choose a different course to
take after two

trials.

**ADA STATEMENT:**

It is the policy of Collin County Community College to
provide reasonable and appropriate

accommodations for individuals with documented disabilities. This College will
adhere to all

applicable Federal and State laws, regulations and guidelines with respect to
providing

reasonable accommodations as required to afford equal educational opportunity.
It is the

student's responsibility to contact the ACCESS Office (G-200) or 972.881.5898, (TDD

972.881.5950) in a timely manner if he/she desires to arrange for
accommodations.

**ACADEMIC ETHICS: **

The college may initiate disciplinary proceedings against
a student accused of scholastic dishonesty.

Scholastic dishonesty includes, but is not limited to, statements, acts, or
omissions related to

applications for enrollment or the award of a degree, and/or the submission of
material as one’s own

work that is not one’s own. Scholastic dishonesty may involve one or more of the
following acts:

cheating, plagiarism, collusion, and/or falsifying academic records

Cheating is the willful giving or receiving of information
in an unauthorized manner during an

examination, illicitly obtaining examination questions in advance, using someone
else’s work for

assignments as if it were one’s own, copying computer disks or files, and any
other dishonest means of

attempting to fulfill the requirements of a course.

Plagiarism is the use of an author’s words or ideas as if
they were one’ s own without giving credit to

the source, including, but not limited to, failure to acknowledge a direct
quotation. Contact the Dean of

Students at 972.881.5771 for the student disciplinary process and procedures or
consult the CCCCD

Student Handbook.

**SPECIFIC REQUIREMENTS/COURSE CONTENT: **

The student will be responsible for knowing all definition
and statements of theorems for each section

outlined in the following modules.

**Module 1 **

The student will be able to:

1. Evaluate functions including the Difference Quotient
and Piecewise-Defined Functions.

2. Determine the domain and range of functions.

3. Determine intervals over which functions are increasing, decreasing, or
constant.

4. Find relative maxima or minima of functions.

5. Determine if a function is even or odd from equations and graphs.

6. Graph common functions including linear, quadratic, cubic, square root, cube
root, reciprocal,

absolute value, and piecewise-defined functions.

7. Interpret transformations on common functions such as shifts, reflections,
stretches and shrinks.

8. Perform composition operations on functions.

9. Use the Horizontal Line Test to test for one-to-one functions.

10. Verify or find inverses of functions algebraically and graphically.

11. Write the equation of a line using the point-slope form. (Optional) Module 2
The student will be able to:

12. Write quadratic functions in standard form by completing the square.
(Optional)

13. Sketch quadratic functions and state their vertex, axis of symmetry, and
intercepts.

14. Solve application problems using parabolas.

15. Identify zeros of polynomials and their multiplicity.

16. Sketch graphs of polynomial functions.

17. Use synthetic division to find zeros and factors of polynomial functions.

18. Evaluate polynomial functions for given values using the Remainder Theorem.

19. Find complex zeros of polynomial functions.

20. Apply the Rational Zero Theorem.

21. Know that complex zeros occur in conjugate pairs.

22. Know the implications of the Fundamental Theorem of Algebra.

23. Know the implications of the Linear Factorization Theorem.

24. Determine the domain of rational functions.

25. Determine the vertical, horizontal, and oblique (slant) asymptotes of
rational functions.

26. Solve polynomial and rational inequalities.

**Module 3 **

The student will be able to:

27. Graph exponential and logarithmic functions including transformations.

28. State the domain, range and asymptotes of exponential and logarithmic
functions.

29. Evaluate logarithms.

30. Use properties of logarithms.

31. Solve exponential and logarithmic equations.

32. Apply solution techniques to solve application problems relating to growth
and decay.

**Module 4 **

The student will be able to:

33. Convert systems of linear equations to matrix form.

34. Use Gauss-Jordan elimination to solve systems of linear equations with two
and three variables

and equations by hand or using ROWOPS.

35. Use matrices to solve real life applications.

36. Find the determinant of 2 x 2 and 3 x 3 matrices without a calculator.

37. Use Cramer's Rule to solve systems of linear equations with two and three
variables.

38. Write the terms of a sequence.

39. Use sigma notation for sums.

40. Determine the common difference of arithmetic sequences.

41. Find the formula for the term of
arithmetic and geometric sequences.

42. Find the sum of the first n terms of arithmetic and geometric sequences.

43. Determine the common ratio of geometric sequences.

44. Find the sum of an infinite geometric series.