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Standifer, L MA-111-2 Precalculus Syllabus and Semester Plan Fall 2016 (2) (13)

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Frederick Community College
Course Syllabus
MA: 111-2 Pre-Calculus
FALL 2016
Class Begins:
Aug. 22nd , 2016
Class Ends:
Dec. 8th , 2016
Last Day to Withdraw:
NOV. 1st , 2016
Instructor Information
Instructor: LARRY D. STANDIFER
Office:
E-mail:lstandifer@frederick.edu
*best way to contact
*Phone Number: 240-397-8269
*voice mail only
Office Hours:
Campus Mail Box Number: 882
Course Information: Class Days and Times – Mon / Wed 3:00 – 4:40 Room B103
Course: MA 111-1, Precalculus
Credits: 4
Prerequisites: MA 82 or Placement
Co-requisites: n/a
Course Description:
Includes topics from college algebra and trigonometry with a graphing approach such as
right triangle trigonometry, circular trigonometric functions, inverse trigonometric
functions, exponential functions, power functions, logarithmic functions, polynomial
functions and their zeros, polar coordinates, and vectors.
Core Learning Outcomes:
1. Demonstrate college-level communication skills.


Produce effective and appropriate oral, written and visual information for a specific subject,
discipline, purpose, audience, and context.
Interpret and synthesize information from oral, written and visual texts.
2. Demonstrate critical-thinking skills.


Analyze information from various sources.
Recognize and develop alternative perspectives or solutions
3. Understand, interpret and apply academic, professional, and civic ethics.


Define and analyze ethical issues within specific academic, professional and personal contexts.
Identify and follow commonly accepted ethical standards in academic, professional and civic
contexts.
4. Demonstrate quantitative problem solving.



Interpret and analyze verbal, graphical, numerical, and symbolic representations of mathematics.
Work collaboratively or individually to solve problems effectively and efficiently using
mathematical tools that appropriately model the situation.
Generate alternative representations of numerical data and analytical concepts.
5. Demonstrate technological competence.



Demonstrate effective and appropriate uses of technology in academic, professional and personal
contexts.
Use technology appropriate for a specific discipline or program of study.
Analyze the roles of technology in society.
Instructional Method:
Each class will be composed of lecture time and active learning work. It will be imperative that
you read the text. You will have weekly online homework assignments. While working through
the assignment, it will be very beneficial for you to use the resources in MyMathLab.
Text for Course:
Algebra and Trigonometry, 10th Ed, Sullivan (Optional)
MYMATHLAB access kit required; (Course ID: standifer66896 )
TI-83/84 graphing calculator required
Progress Report:
Students will receive some form of written assessment of their progress with each graded
assignment and through BlackBoard.
Evaluation Method:
You will have weekly homework assignments for grade and a unit test as indicated on the
semester plan. As a student enrolled in this course, it is your responsibility to ensure that you
are prepared for lecture topics, and are aware of important dates, assignments, exams, guest
lectures and/or field trips. It is not the instructor’s responsibility to remind you. Make-up tests
will be offered only in the case of an unavoidable emergency. Documentation must be
provided and it is at the discretion of the instructor to determine if the absence is indeed an
unavoidable emergency. *Missed quizzes will never be made up.
Assessment Method:
A: ≥ 90%
B: ≥ 80%
C: ≥ 70%
Evaluation Type
D: ≥ 60%
F: < 60%
Points
Available
Percent of
Grade
1.)
Active Learning (attendance counts)
100 pts
5%
2.)
30 pts
10%
100 pts
100 pts
100 pts
150 pts
15%
15%
15%
20%
7.)
HOMEWORK : www.mymathlab.com
Course ID: standifer66896
EXAM #1
EXAM #2
EXAM #3
Final Exam (cumulative final)
Final Exam is in 2 parts
Quizzes (4 @ 25 points each )
100 pts
10%
8.)
Group Project – “Ferris Wheel”??????
70 pts
*Due 11/2
10%
3.)
4.)
5.)
6.)
2
Time Commitment for Academic Success:
At Frederick Community College, in all credit courses, students are expected to invest a
minimum of two hours completing out-of-class course work for every hour of in-class
instructional time. A 15-week, 3-credit course requires a minimum of 37.5 hours of
instructional time and 75 hours of outside course work. Students should expect to invest an
average minimum of 5 hours per week preparing for the course and completing assignments.
Codes of Academic Integrity and Student Conduct:
Students are required to uphold the Code of Academic Integrity and the Code of Student
Conduct. Students who violate either of these codes may receive a failing grade in the class.
Information about these codes and other student policies, procedures, and penalties is available
on the Student Policy and Procedures web page at http://www.frederick.edu/currentstudents/required-communications/student-policies-procedures.aspx.
Student Services:
A variety of services are available to assist students in succeeding at FCC. Students can learn
more about these services by visiting the Student Services web page:
http://www.frederick.edu/student-resources.aspx
Students with disabilities who are in need of accommodations or who have questions related to
disabilities services should contact the Services for Students with Disabilities (SSD) office at
301-846-2408. Students can learn more about these services by visiting the Services for
Students with Disabilities web page: http://www.frederick.edu/student-resources/services-forstudents-with-disabilities.aspx
Participation Policy: “Active Learning”
You will receive no participation points in this class. That being said, it is imperative that you
participate in class discussions. Otherwise, success is very unlikely.
Email Communication:
All students will receive and be expected to use their FCC email address for their
correspondence with faculty and staff at the college. Students can establish and access their
FCC email accounts at the login page: https://myfcc.frederick.edu.
Topical Outline:
Every effort will be made to keep to this schedule; however, the instructor reserves the right to
alter or amend it as necessary. Additional dates, as published in the academic schedule of classes
and listed below, may be required as make-up days for inclement weather.
3
Precalculus Topical Course Outline
Class Week
Class Topic
Homework
The Last Day to Withdraw from this Course is NOV. 1st ,
2016.
During inclement weather closing, you will still be responsible to homework assignments posted
on MyMathLab and BlackBoard.
WEEK 1
MON 8/22
(4.1)Linear Functions
(4.3) Quadratic Functions
www.mymathlab.com #12
www.mymathlab.com #15
WEEK 1
WED 8/24
(5.1) Polynomial Functions and Models
www.mymathlab.com #10
[1] Identify polynomial functions and their
degrees.
[2] Graph polynomial functions.
[3] Identify the real zeros of a polynomial and
their multiplicity.
[4] Analyze the graph of a polynomial function;
determine intercepts, maxima, minima, and
intervals of increasing and decreasing.
WEEK 2
MON 8/29
(5.2) Properties of Rational Functions
www.mymathlab.com #13
[5] State the domain and range of a rational
function.
[6] Find the vertical asymptotes of a rational
function and label them the graph.
[7] Find the horizontal or oblique asymptotes of
a rational function and label them the graph.
(5.3) The Graph of Rational Functions
www.mymathlab.com #4
[8] Analyze the graph of a rational function:
determine intercepts, asymptotes, and intervals
of increasing and decreasing
[9] Solve applications problems involving
rational functions
4
Class Week
WEEK 2
WED 8/31
Class Topic
(5.5) The Real Zeroes of a Polynomial Function
Homework
www.mymathlab.com #9
[10] Use the remainder and factor theorems to
transform a rational equation into
𝑓(𝑥) = 𝑞(𝑥)𝑔(𝑥) + 𝑟(𝑥).
[11] Find the real zeros of a polynomial function
graphically and algebraically.
[12] Use the Intermediate Value Theorem to find
real zeros of a polynomial function.
WEEK 3
MON 9/5
WEEK 3
WED 9/7
WEEK 4
MON 9/12
NO CLASS….LABOR DAY….NO CLASS
(6.2) Inverse Functions
[13] Determine the inverse of a function from its
equation.
[14] Determine the inverse of a function from its
table of values.
[15] Determine the inverse of a function from its
graph.
[16] Obtain the graph of the inverse function
from the graph of the function.
www.mymathlab.com #10
(6.3) Exponential Functions
www.mymathlab.com #4
[17] Evaluate exponential functions in a variety
of bases including e.
[18] Graph exponential functions in a variety of
bases including e.
[19] Solve exponential functions in a variety of
bases including e.
(6.4) Logarithmic Functions
www.mymathlab.com #3
[20] Translate exponential equations into
logarithmic form and vice versa.
[21] Evaluate logarithmic expressions.
[22] Solve logarithmic equations in a variety of
bases including e.
WEEK 4
WED 9/14
(6.5) Properties of Logarithms
[23] Rewrite logarithmic expressions using the
properties of logarithms.
[24] Write a logarithmic expression as a sum or
difference of logarithms.
[25] Write a logarithmic expression as a single
logarithm.
[26] Evaluate logarithms in a variety of bases,
including 10, e other values.
www.mymathlab.com #3
5
Class Week
Class Topic
WEEK 5
MON 9/19
(6.6) Logarithmic and Exponential Equations
WEEK 5
WED 9/21
(6.7) Financial Models
www.mymathlab.com #11
[27] Solve logarithmic equations.
[28] Solve exponential equations.
www.mymathlab.com #2
[29] Solve problems involving compound
interest.
(6.8) Growth and Decay
[30] Find and solve equations of populations that
obey the law of uninhibited growth.
[31] Find and solve equations of populations that
obey the law of decay.
[32] Solve problems using Newton’s Law of
Cooling.
WEEK 6
MON 9/26
QUIZ #1
WEEK 6
WED 9/28
EXAM #1
WEEK 7
MON 10/3
(7.1) Angles and their Measure
WEEK 7
WED 10/5
Homework
www.mymathlab.com #1
CHAPTER’S 4 – 5 – 6
CHAPTER’S 4 – 5 – 6
HOMEWORK IS DUE
[1] Convert angles from degree to radian
measure and vice versa.
[2] Identify the components of an angle.
[3] Determine the arc length of a circle given a
central angle.
[4] Find the area of a sector of a circle.
(7.2) Right Triangle Trigonometry
www.mymathlab.com #15
www.mymathlab.com #6
[5] Find the values of the trigonometric functions
of acute angles.
[6] Determine the missing angles of a right
triangle when given three sides.
[7] Determine the missing angles and sides of a
right triangle when given two sides and an acute
angle.
[8] Solve applications problems based on right
triangle trigonometry.
6
Class Week
Class Topic
Homework
WEEK 8
MON 10/10
*********SPECIAL ANGLES***************
(7.3) Computing the Trig Values of Acute Angles
www.mymathlab.com #10
[9] Determine the exact values for sine, cosine
and tangent for the 30-60-90 triangle.
[10] Determine the exact values for sine, cosine
and tangent for the 45-45-90 triangle.
[11] Solve application problems based on the
30-60-90 and 45-45-90 triangles.
WEEK 8
WED 10/12
(7.4) Trigonometric Functions of any Angle
WEEK 9
MON 10/17
(7.5) *Unit Circle
(7.6) *Graph of Sine and Cosine
(7.7) *Graph of Tangent
*Targets to come – memorization!
WEEK 9
WED 10/19
www.mymathlab.com #11
[12]Find exact values of trig functions.
[13]Use co-terminal angles to find exact values.
[14]Determine signs of trig functions.
[15]Find/use reference angle of an angle.
[16]Find exact value of angle given info of the
angle.
www.mymathlab.com #10
www.mymathlab.com #17
www.mymathlab.com #8
QUIZ #2 CHAPTER 7.1 – 7.7
HOMEWORK IS DUE
EXAM #2 CHAPTER 7.1 – 7.7 *TAKE HOME
*DUE MON 10/24
WEEK 10
MON 10/24
WEEK 10
WED 10/26
WEEK 11
MON 10/31
(7.8)**** Phase Shift; Sinusoidal Curve Fitting
www.mymathlab.com #3
[1]Graph sinusoidal functions f(x)=asin(bx+c)+d
****Group project assigned: “The Ferris Wheel”
*Due WED 11/2
EXAM #2 DUE TODAY
(8.1) Inverse Sine, Cosine, and Tangent
www.mymathlab.com #11
[2]Find exact value of inverse trig function.
[3]Find approximate value of inverse trig
function.
[3]Use properties of inverse trig functions.
[4]Find inverse function of a trig function.
[5]Solve equations with inverse trig functions.
(8.3) Trigonometric Equations
www.mymathlab.com #14
[6]Solve Trig equations algebraically/graphically.
7
Class Week
WEEK 11
WED 11/2
Class Topic
(9.1) Applications Involving Right Triangles
Homework
www.mymathlab.com #10
[7] Solve right triangles.
[8] Solve applied problems that involve right
triangle trigonometry
*Ferris Wheel Projects Due
WEEK 12
MON 11/7
(9.2) Law of Sines
www.mymathlab.com #7
[9]Solve SAA or ASA triangles.
[10]Solve SSA triangles
[11]Solve applied problems.
(9.3) Law of Cosines
[12]Solve SAS triangles.
[13]Solve SSS triangles.
[14]Solve applied problems.
WEEK 12
WED 11/9
(10.1) Polar Coordinates
WEEK 13
MON 11/14
(10.3) Complex Plane; De Moivre’s Theorem
WEEK 13
WED 11/16
(10.4) Vectors
WEEK 14
MON 11/21
(10.5) Dot Product
www.mymathlab.com #4
www.mymathlab.com #10
[15]Plot points using polar coordinates.
[16]Convert from polar to rectangular.
[17]Convert from rectangular to polar.
[18]Transform between polar and rectangular forms.
www.mymathlab.com #2
[19]Plot points on the Complex plane.
[20]Use De Moivre’s Theorem.
www.mymathlab.com #1
[21]Graph vectors.
[22]Add/subtract vectors.
[23]Determine magnitude of a vector.
www.mymathlab.com #7
[24]Find the dot product of two vectors.
[25]Find the angle between two vectors.
8
Class Week
Class Topic
WEEK 14
WED 11/23
NO CLASS….THANKSGIVING….NO CLASS
WEEK 15
MON 11/28
QUIZ #3 CHAPTER’S:
Homework
8 – 9 – 10
HOMEWORK IS DUE
Exam #3 CHAPTER’S 8 – 9 – 10 *TAKE HOME
*DUE WED 11/30
WEEK 15
WED 11/30
QUIZ 4 FINAL EXAM REVIEW
CHAPTER’S 4 – 10
****EXAM #3 DUE TODAY
WEEK 16
MON 12/5
Cumulative Final Exam……2 parts!
WE ARE FINISHED!!!!!
PART 1 – NO CALCULATOR
SPECIAL ANGLES, INVERSE TRIG,
GRAPHS……ETC.
HAVE A FUN AND
SAFE HOLIDAY!
PART 2 - CUMULATIVE CHAPTER’S 4 - 10
WEEK 16
WED 12/7
NO CLASS UNLESS MAKE-UP DAY IF NEEDED
The outline presented above is a tentative plan for the semester. Specific topics and assignments
are subject to change at the instructor’s discretion.
9
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