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Math 147: PRECALCULUS
MTWRF 2:00 pm – 2:50 pm
5 Credits – Spring 2015
Instructor: Cindy Dickson, M.S.
Phone: 732-6544 or 1-800-680-0274 x6544
Office: Shields 207 C
e-mail: [email protected]
Office Hours:
MTWRF: 10:00 – 10:50 a.m.
Math Lab Tutoring (Shields 207): RF 12:30 – 1:00 p.m.
Office Hours also by appointment
1. Course Description: This is a single course equivalent to College Algebra (MATH 143) plus
Trigonometry (MATH 144). Credit hours are not granted in both MATH 143 and MATH 147, nor in
both MATH 144 and MATH 147. NOTE: For convenience of the student schedule, MATH 143 and
MATH 144 may be taken concurrently in lieu of MATH 147.
2. Prerequisite: MATH 108 grade of “C” or better or CSI placement test score.
3. Required Textbook and Supplies:
a. Textbook: Precalculus Enhanced WebAssign Edition, sixth edition, by Stewart,
Redlin, and Watson, available at the campus bookstore OR an electronic version of the
textbook.
b. WebAssign access code, packaged with new textbooks through the campus
bookstore or available to purchase through the bookstore or online.
c. Calculator: A graphing calculator is required. TI–84 (plus) will be used by the
instructor. TI–89, TI–Nspire, and Casio–FX 115 ES will not be allowed.
c. Supplies: 3-ring binder with dividers, paper, pencil, stapler.
4. Course Objectives: The student will have a strong understanding of the topics listed in the course
content. This course will prepare students for Math 170 and other courses which have both college
algebra and trigonometry as pre-requisites.
i. The students will have achieved the course objectives when they successfully demonstrate a working
knowledge of the course content by developing solutions to skill-based and real world application
problems and communicating the solution to these problems. The course content includes:
a. Linear equations (solve all types, simple to complex, model data and solve application
problems)
b. Formulas (solve problems using formulas, isolate a specified variable)
c. Quadratic equations (solve by factoring, by taking square roots, by completing the square,
using the quadratic formula, solve application problems)
d. Solve other types of equations (polynomial, radical, absolute value, equations that are
quadratic in form, equations with rational exponents)
e. Inequalities with one variable (graph and solve linear, compound, absolute value, quadratic
and rational inequalities)
f. Lines (find slope, graph, write equation, model data, use idea of parallel and perpendicular)
g. Circles (equation, center, radius, graph, convert equation to standard form)
h. Functions (definition, domain, range, use vertical line test, evaluate, intervals for increasing
and decreasing, odd, even, symmetry, model data)
i. Graph and analyze common functions (quadratic, cubic, square root, absolute value, step,
greatest integer)
j. Transformations and combinations of functions (vertical shifts, horizontal shifts, reflections,
vertical stretching and shrinking, add, subtract, multiply, divide, composition, inverse)
k. Quadratic functions (graph, standard form, vertex, intercepts, model data, solve application
problems)
l. Polynomial functions (end behavior, leading coefficient test, graph, Remainder Theorem,
Factor Theorem, find all zeros)
m. Rational functions (vertical asymptotes, horizontal asymptotes, slant asymptotes, intercepts,
graph, solve application problems)
n. Variations (direct, inverse, joint, combined)
o. Exponential functions and equations (evaluate, graph, transform, solve equations, model
data and solve application problems)
p. Logarithmic functions and equations (log notation, properties of logs, evaluate, graph, solve
log equations, change bases, model data and solve application problems)
q. Systems of equations (linear equations in two variables, linear equations in three variables,
nonlinear equations in two variables, application problems)
r. Systems of inequalities (linear, nonlinear, linear programming)
s. Conic sections (analyze and graph ellipses, hyperbolas and parabolas, find vertices, foci, axis
of symmetry, directrix, eccentricity and asymptotes as applicable, model data and solve
application problems)
t. Binomial theorem (expand binomial raised to a power, find one specified term)
u. Angles (standard position, positive angle, negative angle, degree measure in degreesminutes-seconds as well as decimal degrees, radian measure, coterminal angles, reference
angles, supplementary, complementary)
v. Trig functions in right triangles (trig function definitions using opposite side, adjacent side
and hypotenuse of right triangle; exact trig values of 30-60-90 and 45-45-90 triangles; use
calculator to evaluate trig function values in degrees and radians; solve right triangles including
application problems)
w. Trig functions of any angle (use the x-y-r definitions to find trig function values, signs of the
trig functions within each quadrant, find and use reference angles)
x. Trig functions of real numbers (use the unit circle to find trig function values, properties of
the trig functions (domain, range, symmetries, period)
y. Basic trig identities (Reciprocal, Quotient or Ratio, Pythagorean, rearrange basic identities,
simplify trig expressions)
z. Graph the trig functions (period, amplitude, graph sin, cos, tan, cot, csc and sec functions
without the use of a graphing calculator and using a graphing calculator, transformations of the
basic trig graphs (horizontal and vertical shifts, vertical stretch/shrink, change of period, graph
using addition of ordinates, given the graph of a trig function write the equation)
aa. Inverse trig functions (restrictions on the domain and range, how graph of inverse is related
to trig function graph, find exact values using triangles, evaluate composition of a trig function and
an inverse trig function, evaluate inverse trig functions using a calculator)
bb. Verify trig identities (include techniques of changing all to sin and cos, factoring, multiplying
by a conjugate, etc., use graphs to decide if a given equation is an identity, then prove
algebraically)
cc. Use trig identities (Sum and Difference Identities for sin, cos, tan, Cofunction Identities,
Double-Angle Identities, Half-Angle Identities, Product to Sum Identities, Sum to Product
Identities)
dd. Solve trig equations
ee. Applications of trig (Linear velocity, angular velocity, arc length, area of a sector, Law of
Sines, Law of Cosines, area of a triangle, trigonometric form of complex numbers (compute
absolute value, product, quotient), DeMoivre’s Theorem)
ff. Parametric equations (eliminate the parameter, graph)
gg. Polar coordinates and equations (convert to and from rectangular form, graph)
These additional topics will be covered as time allows:
a. Cramer’s Rule to solve a system of linear equations
b. Partial fraction decomposition
c. Matrix operations
d. Algebraic operations on vectors
e. Geometric interpretation of vectors
f. Polar equations of conics
ii. Success will be measured by homework assignments, chapter exams, and a comprehensive final
exam.
5. Outcomes Assessment:
Philosophy Statement:
General education in Mathematics develops the understanding of mathematics as a
language which permits the student to express, define, and answer questions about the
world.
Student Learning Outcomes:
1.
The students will be able to analyze real-world questions and
mathematically structure strategies to model the questions.
2.
The students will be able to correctly provide solutions to the
models of the questions.
3.
The students will be able to communicate the solutions to the
questions when analyzed and solved mathematically.
6. Online Course Evaluations: To help instructors continually improve courses, students are
strongly encouraged to go online to https://mycsi.csi.edu and complete anonymous evaluations
which open two weeks before the end of the course and close the last day of class. When
students enter the site, they find evaluations for their enrolled courses. Thank you for this
valuable input!
7. Policies and Procedures:
a. Attendance: Attendance is essential to student success. If you miss a class, you are
responsible for material discussed in class as well as any additional assignments and
announcements made during class time. If the number of absences exceeds 10 hours in
this course, the student will receive a failing grade (F) in the course.
b. Homework: Assignments will be given daily on Web Assign and due by the following
class day at midnight. Homework from the textbook may also be assigned for the section.
Homework from the textbook will be due the following class day at 2 p.m. Be sure to
read each section from the textbook before attempting the homework. Late homework
cannot be submitted after the due date. Your lowest 5 homework scores will be dropped.
c. Exams: Five exams and a comprehensive final will be given. Make-up exams will NOT
BE GRANTED unless you have a medical excuse validated by a doctor or the consent of
the instructor at least one week prior to the exam. Make-up final exams will NOT BE
GRANTED UNDER ANY CIRCUMSTANCES. Your lowest test score can be dropped
and replaced by your final exam score if it is to your benefit.
d. Academic Integrity: If a student is caught cheating on an exam or copying another
student’s assignment, a student will be subject to a failing grade of F (0 credit) and will be
referred to the Dean of Students. The Academic Integrity policy is listed on pg. 32 of
the CSI catalog.
e. Classroom Behavior: You as a student are expected to maintain good conduct during
class, treating fellow students with respect and demonstrating a cooperative attitude
toward the instructor. Inappropriate behavior will not be tolerated. After one warning,
further breaches in acceptable conduct will result in your being dropped from the course,
and the matter will be referred to the Dean of Students for college discipline. If there is a
situation creating a problem for you in this class, please let me know so that I can
conference with any students who are involved. Information regarding student Behavior
Policies can be found on p. 31 of the C.S.I. catalog and the complete Student Code of
Conduct can be found online at www.csi.edu/StudentHandbook.
f. Other Policies: All cell phones and pagers must be turned off or to a vibrate mode
during class. No texting allowed during class. No children are allowed in class.
8. Grading Practices:
a. Testing: All chapter exams will be taken in the Testing Center. It is located in GRM
230 and is open from 8:00 am – 9:30 p.m. Monday through Friday and from 12:00 p.m. –
5:00 p.m. on Saturdays. A student ID card is required to take any test in the Testing
Center. You cannot start a test in the Testing Center if closing time is less than one hour
away.
The comprehensive final exam will be given in the classroom.
b. Evaluation:
5 Exams:
Homework:
Final Exam:
Total Possible:
500 points
100 points
150 points
750 points
90 -100%=A
80-89% =B
70-79%=C
60-69%=D
Below 60% = F
Students must score at least 60% on the comprehensive final exam to receive
a course grade of C or higher.
c. It is the student’s responsibility to drop the course.
A student may drop a course or all courses prior to the end of late registration (first Friday
of the term) without it being recorded on the student’s official transcript. A student
initiated drop after the late registration period is considered a withdrawal, and results in
the grade of W.
Students may drop courses online until the end of the late registration period. In order to
withdraw from one or more courses following late registration, a completed registration
form is required. Instructions on the form indicate when a signature of instructor and/or
Financial Aid advisor is required. The completed form may be submitted to Admissions &
Records or any off-campus center.
Students may withdraw from courses which are less than a full semester in length until
75% of the course meetings have elapsed. No course may be withdrawn from after 75%
of the course has elapsed.
9. Disabilities: Any student with a documented disability may be eligible for reasonable
accommodations. To determine eligibility and secure services, students should contact Student
Disability Services at their first opportunity after registration for a class(es). Student Disability
Services is located on the second floor of the Taylor Building on the Twin Falls Campus.
208.732.6260 (voice).
10. Student e-mail: Since email is the primary source of written communication with students, all
registered CSI students get a college email account. Student e-mail addresses have the following
format: <address>@eaglemail.csi.edu where <address> is a name selected by the student as a
part of activating his/her account. Students activate their accounts and check their CSI e-mail
online at http://eaglemail.csi.edu. Instructors and various offices send messages to these
student accounts. Students must check their CSI e-mail accounts regularly to avoid missing
important messages and deadlines. At the beginning of each semester free training sessions are
offered to students who need help in using their accounts.
11. Do not put off getting help! If you wait until you are totally lost, you might find it impossible
to get back on track.
12. Keys to success in this class: Show up every day and pay attention; ask questions;
practice by doing assignments and forming study groups; don’t quit!
13. Where to get help:
 Ask questions in class or stop by to see me – I’m here to help you!
 One-on-one instructor and peer tutoring are available at…
o Math Lab (SHL 207)
 Study groups are a great resource and I encourage you to form them to do assignments,
study for tests, etc.
14. Tentative course schedule:
Date
Section
Date
1/20
Syllabus, 1.5
2/25
1/21
1.5
2/26
1/22
1.6
2/27
1/23
1.7
3/2
1/26
1.8
3/3
1/27
1.10
3/4
1/28
1.11
3/5
1/29
2.1
3/6
1/30
2.2
3/9
2/2
2.3
3/10
2/3
2.4, 2.5
3/11
2/4
2.5
3/12
2/5
2.6
3/13
2/6
2.7
3/16
2/9
Review
3/17
Exam 1
2/10
3/18
2/11
3.1
3/19
2/12
3.2
3/20
2/13
3.3
3/23-3/28
2/16
No Class –
3/30
President’s Day
2/17
3.4
3/31
2/18
3.5
4/1
2/19
3.6
4/2
2/20
3.7
4/3
2/23
3.7
4/6
2/24
4.1, 4.2
Section
4.3
4.4
4.5
4.6
Review
Exam 2
5.1
5.1
5.2
5.3
5.4
5.5
5.6
6.1
6.1
6.2
6.3
6.4
Spring Break
6.5, 6.6
Date
4/7
4/8
4/9
4/10
4/13
4/14
4/15
4/16
4/17
4/20
4/21
4/22
4/23
4/24
4/27
4/28
4/29
4/30
5/1
5/4
Section
7.3
7.4
7.5
8.1
8.2
8.3
8.3
8.4
Review
Exam 4
10.1
10.2
10.8
10.9
11.1
11.2
11.3
11.4
11.4
Review
Review
Exam 3
7.1
7.2
7.3
5/5
5/6
5/7
5/8
5/11
Exam 5
12.6
Review for Final
Review for Final
Final Exam
2 pm – 4 pm
Using Blackboard to Access Outlines for Notes & Chapter Exam Answer Keys
1. Go to http://blackboard.csi.edu
2. Login with your CSI student username and password.
3. Click on our class – Precalculus (Math 147 C01) under My Courses.
4. Click on the buttons on the left hand side to navigate the course:
Syllabus – to view our class syllabus
Content – to view our list of assignments, how to get started in Web Assign, outlines for
each section lecture, chapter exam answer keys
My Grades – to view your current grade in the course (this will be updated after each
exam)