CENTRAL TEXAS COLLEGE – FORT RILEY
MATH 1414 COLLEGE ALGEBRA
SPRING II 2014 SYLLABUS
………………………………………………………………………………………………………
Instructor:
Daniel Abraham
E-mail:
[email protected]
Office Hours: By appointment
Class Schedule: MW (5:30PM to 9:00PM), Bldg. # 7656, Room# 8
I. Introduction:
Math 1414, College Algebra, is a four semester-hour course. This course includes an In-depth
study and application of polynomial, rational, radical, exponential and logarithmic functions, and
systems of equations using matrices. Additional topics include matrix operations, sequences,
series, binomial theorem, and probability. Prerequisites: DSMA 0303 or equivalent, or
acceptable placement test score.
II. Course Requirements:
Textbook: College Algebra, Central Texas College Edition, taken from: College Algebra, 6th
Edition by Robert Blitzer and Intermediate Algebra, 6th Edition by Elayn Martin-Gay.
Graphing Calculator: Any type of TI-83, TI-83+, TI-84, or TI-84+.
Attendance: Students are expected to attend every class and to arrive at each class on time.
Students must not be absent from class more than 12.5% of class meetings. There are points
given on attendance and group work in class.
Examinations: A midterm and final exams, and two quizzes will be given during the semester.
Students must take the final exam in order to pass the course. Students who miss an exam should
discuss with the instructor the circumstances surrounding the absence. The instructor will determine
whether a make-up exam is to be given.
III. Grading & Evaluation:
Grading scale: A: 90-100%, B: 80-89%, C: 70-79%, D: 60-69%, F: < 60%
1.
2.
3.
4.
5.
6.
Group work in class / Participation / Attendance = 10%
Homework = 20%
Quiz #1 = 10%
Quiz #2 = 10%
Midterm Exam = 20%
Final Exam = 30%
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IV. Learning Outcomes:
Upon successful completion of this course, College Algebra, the student will be able to:
 Define relation and function.
 Demonstrate and apply knowledge of properties of functions, including domain and
range, operations, compositions, and inverses.
 Evaluate functions.
 Construct and analyze graphs of functions using transformations.
 Recognize and apply polynomial, rational, radical, exponential and logarithmic functions
and solve related equations and application problems.
 Evaluate all roots of higher degree polynomial and rational functions.
 Recognize, solve and apply systems of linear equations using matrices.
 Use matrix operations.
 Evaluate determinants.
 Identify types of sequences and series.
 Use sequences and series to solve problems.
 Apply the Binomial Theorem.
 Use the Fundamental Counting Principal.
 Distinguish between and apply the permutation formula and the combination formula.
 Compute theoretical and empirical probability.
 Use electronic and other media, such as the computer and DVD, to reinforce and
supplement the learning process.
 Demonstrate critical thinking, communication, and empirical and quantitative skills.
V. Scholastic Honesty:
All students are required and expected to maintain the highest standards of scholastic honesty in
the preparation of all course work and during examinations. The following are examples of
scholastic dishonesty:
1. Plagiarism: The taking of passages from the writing of others without giving proper
credit to the sources.
2. Cheating: Giving or receiving information on examinations.
3. Collusion: (a) Using another’s work as one’s own or (b) working together with another
person in the preparation of work, unless such joint preparation is specifically approved
in advance by the instructor.
Students guilty of scholastic dishonesty will be dropped from the course with a grade of “F” and
subject to disciplinary action. See the Central Texas College Handbook.
VI. Central Texas College Policies and Procedures:
For additional information concern policies and procedures, students should consult the
College’s academic catalog which may also be accessed through CTC’s website at www.ctc.edu
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VII. Course Outline:
The following outline may be modified at the instructor’s discretion
Week
Date
03/24
Section
2.1
2.2
1
03/26
2.5
2.6
03/31
2.7
3.2
04/02
3.3
3.4
04/07
3.5
3.6
4.1
4.2
2
3
04/09
04/14
4
4.3
4.4 & 4.5
04/16
Topic
Basic Algebra Review
Functions & Their Graphs
Increasing, Decreasing, and Constant Functions
Even and Odd Functions
Transformations of Functions
Shifting, Reflection, Stretching & Shrinking
Combinations, Composite Functions
Homework Questions (First half hour of class)
Inverse Functions
Polynomial Functions & Their Graphs
Quiz #1 (First half hour of class)
Dividing Polynomials
Zeros of Polynomial Functions
Homework Questions (First half hour of class)
Rational Functions & Their Graphs
Polynomial & Rational Inequalities
Graphing & Characteristics of Exponential Functions
Graphing & Characteristics of Logarithmic Functions
Transformations Involving Logarithmic & Exponential Functions
Homework Questions (First half hour of class)
Properties of Logarithms
Exponential & Logarithmic Equations, & Exponential Growth
Homework
Section 2.1 (14, 18, 30, 44, 78)
Section 2.2 (10, 24, 26, 62)
Section 2.5 (66, 78, 104)
Section 2.6 (44,64)
HW#1 Due: Sec. (2.1, 2.2, 2.5, 2.6)
Section 2.7 (26, 42, 60)
Section 3.2 (34, 42, 64)
Section 3.3 (14, 22, 42)
Section 3.4 (8, 12, 91)
HW#2 Due: Sec. (2.7, 3.2, 3.3, 3.4)
Section 3.5 (64, 72)
Section 3.6 (10, 24, 54, 60)
Section 4.1 (30, 40)
Section 4.2 (44, 62, 76, 102)
HW#3 Due: Sec. (3.5, 3.6, 4.1, 4.2)
Section 4.3 (50, 58, 96)
Section 4.4 (36, 84, 104)
Midterm Exam Review
HW#4 Due: Sec. (4.3, 4.4)
5.1 & 5.2
6.1
Midterm Exam in Chapters:2, 3 & 4 (First Hour of Class)
Systems of Linear Equations in Two and Three Variables Review
Matrix Solutions to Linear Systems
Section 5.1 (38, 44)
Section 5.2 (10, 12)
Section 6.1 (28, 34, 40)
6.2
6.3
Inconsistent & Dependent Systems & Their Applications
Matrix Operations
Section 6.2 (6, 33, 45)
Section 6.3 (16, 32, 36, 48)
Homework Questions (First half hour of class)
Multiplicative Inverses of Matrices and Matrix Equations
Determinants & Cramer’s Rule
Quiz #2 (First half hour of class)
Sequences & Summation Notation
Arithmetic Sequences
Homework Questions (First half hour of class)
Geometric Sequences & Series
Mathematical Induction
The Binomial Theorem
Counting Principals, Permutations, & Combinations
Probability
HW#5 Due: Sec.(5.1,5.2,6.1,6.2,6.3)
Section 6.4 (10, 22, 48)
Section 6.5 (24, 30, 36)
05/12
Final Exam Review
HW#7 Due: Sec.(8.3,8.4,8.5,8.6,8.7)
05/14
Final Exam (Comprehensive Exam)
04/21
5
04/23
04/28
6.4
6.5
04/30
8.1
8.2
05/05
8.3
8.4
8.5
8.6
8.7
6
7
05/07
Section 8.1 (10, 20, 34)
Section 8.2 (26, 36, 46)
HW#6 Due: Sec. (6.4, 6.5, 8.1, 8.2)
Section 8.3 (20, 28, 34, 38)
Section 8.4 (12, 14)
Section 8.5 (14, 40)
Section 8.6 (17, 19, 22, 28)
Section 8.7 (6, 10, 14, 24)
8
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