CUYAMACA COMMUNITY COLLEGE
(Spring Semester, 2015)
Math 110
Intermediate Algebra
Section 7142
M, W, Th: 11:00 – 12:25, Room H-127
Tues: 11:00 – 11:50, Room H-119 (Computer Lab)
Section 5490
Tuesday: 12:30PM – 2:20, H-127
Tuesday: 2:30PM – 3:20, H-119 (Computer Lab)
Thursday: 12:30PM – 3:20, H-127
INSTRUCTOR:
Eric Preibisius
CLASSROOM:
See above
OFFICE & PHONE:
H-132, Phone: 619-660-4248
e-mail: eric.preibisius@gcccd.edu
OFFICE HOURS: Tuesday: 10:00pm – 11:0pm
Wednesday: 12:30am – 1:30am
Thursday: 10:00pm – 11:00pm
Fridays: During AfterMath as often as possible
(9:00am – noon, in the STEM Center)
AfterMath Workshop: Friday: 9:00a.m. – Noon
This workshop provides free tutoring for Math 90, Math 103, and Math 110
Students.
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COURSE CONTENT:
1)
2)
3)
4)
Graphing of linear, quadratic and rational functions and their applications
Writing equations from the graphs of linear and quadratic functions
Using graphic, numeric and analytic methods to solve linear and quadratic equations and inequalities
Using linear regression and linear interpolation and extrapolation to model, interpret and solve
application problems
5) Fundamental operations with exponents and radicals and solving equations with same
6) Applications involving rational expressions and solving equations with same
7) Linear and non-linear systems of equations and inequalities
8) Elementary matrices and determinants
9) Graphing elementary conic sections
10) Exponential and logarithmic functions, their graphs, their inverse relationship and applications
11) Sequences and series
12) Historical contributions of number and mathematical concepts from diverse cultures
PREREQUISITES:
Grade of “Pass” in MATH 090 or equivalent
COURSE PREREQUISITE SKILLS:
Without the following skills, competencies, and/or knowledge, students entering this course will be highly
unlikely to succeed:
1) Operations, simplification and manipulation
a. Real numbers
b. Polynomials
c. Variables with integer exponents
d. Square roots of variables
e. Factoring (greatest common factor, difference of squares, trinomials)
2) Solving mathematical statements
a. Linear equations in one or two variables
b. Linear inequalities
c. System of linear equations in two variables
d. Quadratic equations (real solutions)
3) Graphing
a. Points
b. Lines (slope-intercept form)
c. Linear inequalities
4) Modeling and applications
a. Interpreting numeric, analytic and graphical data
b. Associated with linear relationships
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Student Learning Outcomes
Upon successful completion of this course, students will be able to:
1) Simplify or reorganize expressions by:
a. Performing operations on rational expressions
b. Performing operations on radical expressions
c. Applying properties of rational exponents
d. Applying properties of logarithms and/or
e. Performing operations on complex numbers
2) Solve each of the following:
a. Absolute value equations
b. Quadratic equations
1. By extracting roots
2. By completing the square
3. Using the quadratic formula
c. Rational equations
d. Radical equations
e. Exponential equations
f. Logarithmic equations and/or
g. Absolute value inequalities
3) Solve system of two or three equations
a. Algebraically and/or
b. Using a graphing calculator
4) Recognize and graph elementary conics
a. Circle
b. Ellipse and/or
c. Parabola
5) Use the graphing calculator to solve equations graphically
6) Apply critical thinking and mathematical reasoning to analyze, translate and solve
applied problems involving:
a. Quadratic
b. Rational
c. Radical
d. Exponential and/or
e. Logarithmic equations
7) Simplify or reorganize functions given a
a. Sum
b. Difference
c. Product
d. Quotient and/or
e. Composition of two functions
8) Inspect and analyze a graph in order to
a. If the graph represents a function or is a 1-to-1 function
b. Evaluate the function
c. Determined the domain and range of a function
d. Determine the max or min of a quadratic function
9) Find the domain and range of the following functions:
a. Rational functions
b. Polynomial functions
c. Functions involving radicals
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Method of Evaluation (Measuring Student Learning Outcomes
with Representative Assignments)
A grading system will be established by the instructor and implemented uniformly. Grades will be based on
demonstrated proficiency in subject matter determined by multiple measurements for evaluation, one of
which must be essay exams, skills demonstration or, where appropriate, the symbol system.
1) Independent exploration activities which measure the student’s ability to analyze the connections
between the numeric, algebraic, and verbal representations of various types of algebraic expressions,
equations, inequalities, functions, and systems of equations and/or inequalities when applied to realworld problems and data analysis.
2) Quizzes and exams (including a comprehensive in-class final exam) which measure the student’s ability
to work independently using graphic, numeric, and algebraic techniques to simply algebraic
expressions; formulate, analyze and solve algebraic equations, inequalities, and systems of equations
and inequalities; identify and analyze algebraic, exponential, and logarithmic functions; use all of the
above in solving real-world application problems; and recognize and graph elementary conics.
3) Homework assignments in which students apply graphic, numeric and algebraic principles discussed in
class to a series of practice problems to help them formulate questions and receive feedback from the
instructor, tutors, or classmates.
4) Computer laboratory assignments in which students apply algebraic principles and problem-solving
techniques discussed in class to a series of skill and drill problems designed to help students improve
their symbolic manipulation abilities and problem-solving skills.
COURSE MATERIALS:
1. Text: Beginning and Intermediate Algebra, Bittinger, Ellenbogen,
Johnson, Custom Edition for Grossmont and Cuyamaca College
2. My Math Lab Code: Should come with the Textbook.
3. Note: If you took Math 90 here at Cuyamcaca College last
semester you will not need to buy a new book or a new My Math
Lab Code as your book and code for Math 90 will be used for
Math 110 this semester!
4. Calculator: A TI-84 Plus graphing calculator is required.
5. Lecture Note Packet: The Lecture Note Packet will be available for
purchase in the Bookstore for about $11.00
6. Notebook and graph paper
COURSE REQUIREMENTS:
1. HOMEWORK: Homework problems will be assigned from each section of
the text covered in class. The homework problems are to be kept together and
will be collected on the day of each test. Each assignment should be neat with
the first page labeled by the section number and the problems assigned from
that section. Failure to meet these requirements or to submit work late will
result in points deducted from those designated for the assignment.
Homework from previous chapters may not be submitted late once the test on
that chapter has been returned to the student.
2. SEATING CHART: A seating chart will be created by the instructor soon
after the first couple of classes. Students will be expected to sit in those seats
on each day of class. The seating chart may be changed on the day of each
exam!
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3. QUIZZES: Most of our quizzes will be given on-line during the lab portion
of our class. You will have one week to complete each quiz and then your
grade will be whatever you have earned at that point. Some in-class quizzes
may be given as well. All quizzes will be worth 10 points regardless of how
they are administered.
4. ASSIGNMENTS OTHER THAN HOMEWORK: These assignments may
include writing, research, and group work with more complex mathematical
investigations. Points will be deducted if an assignment is handed in after the
due date.
5. COMPUTER LAB ASSIGNMENTS: Most of our quizzes this semester will
be given on-line during the lab portion of our class. You will have only one
week to complete these quizzes, but you can help each other work through the
problems.
6. TESTS: There will be 4 in-class tests given throughout the semester, each
worth 100 points. A comprehensive final exam will be given at the end of the
course and count 200 points. The final exam is mandatory and may not be
dropped.
7. GRADING SCALE:
Grades will be determined by computing each student’s “P” score as follows.
P ≥ 90%
A
80% ≤ P ≤ 89%
B
70% ≤ P ≤ 79%
C
60% ≤ P ≤ 69%
D
P ≤ 59%
F
Note: You must earn at least a “D” on the final to earn a
passing grade in this course!
ACADEMIC ACCOMMODATIONS:
Academic accommodations are available for students with disabilities.
Please identify yourself to your instructor and/or to Disabled Students
Programs and Services (DSP&S) staff so that the appropriate
accommodations can be ensured.
CLASS POLICIES:
A. You are expected to attend each class, arriving on time and remaining for
the entire class. If this is not possible it is your responsibility to discuss
with the instructor the reasons for arriving late or leaving early. (Please
let me know at the beginning of class if you will need to leave early).
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B. You may be dropped from the class for missing twice the number of
hours the class meets per week. (In this class it is 12 hours).
C. You are responsible for getting class notes from other classmates and
getting any schedule changes or other class announcements from
classmates or the instructor on days missed from the class.
D. You are expected to be courteous to each other and to the instructor. You
will be asked to leave the class for display of behavior the instructor
deems as disruptive to the class environment. You are encouraged to
establish study partners with whom you may study and prepare for
exams.
E. CHEATING: Using notes when not allowed, counterfeiting Bonus
Bucks, copying another student’s work, getting test information from
another student in another class is CHEATING and will not be tolerated!
If you are caught cheating, you will receive an F (Zero Points) on that
test. Second offence will result in being dropped from the class!
SUCCESS TIPS FOR LEARNING MATHEMATICS:
A. Read ahead in the text the sections(s) to be covered in class on a particular day.
B. Take notes on the lecture and attempt to understand “why” as well as “how” problems
C.
D.
E.
F.
are solved. Ask questions during the lecture on points you do not understand.
Complete homework assignments before the next class. If time does not allow you to
complete the assignment, at least try some of the problems and ask questions about
the ones you don’t understand.
Begin reviewing and studying for a test at least one week before the scheduled test
date.
Do not attempt to learn math by yourself. Team up with another classmate and work
together. Share ideas and help each other understand the material. Ask your
instructor questions during office hours.
To support your efforts to succeed in this class, it is highly recommended that you
utilize the free Math Tutoring services available in the STEM Tutoring Center. Call
660-4396 for more information. The tutoring hours are tentatively as follows:
Monday:
Tuesday:
Wednesday:
Thursday:
Fridays: 9:00am – Noon (AfterMath Workshops)
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IMPORTANT DATES TO REMEMBER:
o
Jan 26, Mon.
First day of regular semester classes
o
Feb 6, Fri.
Last day to add semester-length classes
o
Feb 13, Fri.
Holiday: (Lincoln’s Birthday) No Classes!
o
Feb 16, Mon.
Holiday: (Washington’s Birthday) No Classes!
o
March 23 – 27
Spring Recess: No Classes!
o
April 24, Fri.
Last day to drop semester-length classes (without a “W”)
o
May 25, Mon.
Holiday: (Memorial Day) No Classes
o
May 26 – June 1
Final Exam Schedule: No regular classes
o
May 26, Tues
Final Exam for Math 110 Class, Section 5490 (12:00–2:00PM)
o
May 27, Wed.
Final Exam for Math 110 Class, Section 7142 (11:00–1:00PM)
COURSE OUTLINE (SUBJECT TO CHANGE)
Jan 26 - 30
Introduction to the Course
Cover Sections 9.3, 9.6, 7.1, and 7.2
Feb. 2 - 6
Cover Sections 7.3, 7.4, 7.5, and 7.6
Feb. 9 - 13
Cover Section 7.7, and Review
Note: Fri., Feb 13 is a holiday (Campus Closed)
Feb. 16 - 20
Cover Sections 10.1, 10.2, and 10.3
Take Exam #1
Note: Mon., Feb 16 is a holiday (Campus Closed)
Feb. 23 - 27
Cover Sections 10.4, 11.1, and 11.2
March 2 – 6
Cover Sections 11.3 and 11.5 and Review
March 9 - 13
Cover Sections 12.1, 12.2, and 12.3
March 16 - 20
Cover Sections 12.5, 12.6 and 12.7
Take Exam #2
March 23 – 27
Spring Recess (NO CLASSES!)
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March 30 – April 3
Cover Sections 12.8, 13.1, and 13.2
April 6 - 10
Cover Sections 13.3, 13.4, and 13.5
April 13 - 17
Cover Sections 13.6, 13.7, and 13.8
April 20 - 24
Cover Sections 14.1, 14.2, and 14.3
Take Exam #3
April 27 – May 1
Cover Section 14.4 and Review
May 4 - 8
Cover Sections 14.5, 14.6, and 14.7
May 11 - 15
Begin Coverage of Chapters 15 and 16
May 18 - 22
Continue Coverage of Chapters 15 and 16
Final Exam Review
Take Exam #4
May 25, Mon.
Note: Monday, May 25, is a Holiday (Memorial Day)
No Classes
May 26 – June 1
Final Exam Schedule – No regular class meetings
May 26, Tues.
Final Exam for T-Th Class, Section 5490
12:00 – 2:00 (Note time change!!!)
May 27, Wed.
Final Exam for MTWTh Class, Section 7142
11:00 – 1:00
Note: You must earn at least a “D” on the Final Exam in order to
receive a grade of “C” or better in the class!
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