MATH 101: Algebra and Trigonometry for Calculus
Spring 2012
Section 001
3 credit hours
Instructor:
Jane R. Wilkes
Office:
156 Bancroft
Office Phone:
803-323-4541
Math Department:
803-323-2175
Campus Email:
wilkesj@winthrop.edu
Course Time and
Location:
10:00 pm- 10:50 pm MWF
Owens 103
Office Hours:
11:00am- 12:15 pm MW
1:25pm-1:55 pm MW
Additional office hours are available by appointment
The instructor reserves the right to make modifications to this syllabus. Students will be notified in class & by email.
A complete syllabus and schedule is available at: www.winthrop.edu/cas/math/syllabus.
Winthrop University is dedicated to providing access to education. If you have a disability and require specific
accommodations to complete this course, contact the Office of Disability Services (ODS) at 323-3290. Once you have your
official notice of accommodations from the Office of Disability Services, please inform me as early as possible in the
semester.
Grades
Four tests will be given, as indicated on the syllabus. The four tests and the quiz average will each be 16% of the final grade
average. The final exam will count 20% of the final average. If the final exam grade is higher than one of the previous test
grades, then the final exam will count in place of that test. So if a student misses one test, the final exam will count in place
of that test.
Grades will be assigned as follows: 93-100 A; 90-92 A-; 87-89 B+; 83-86 B; 80-82 B-; 77-79 C+; 73-76 C; 70-72 C-; 67-69
D+; 63-66 D; 60-62 D-; below 60 F.
Assignments/Assessments
Expect quizzes on any given class day. The quizzes will be based on previous class work and the suggested homework
assignments. The lowest three quiz grades will be dropped. There will be no makeup quizzes.
Text, Materials, and Resources
Required Text: Sullivan, M. (2008). College Algebra Eighth Edition.
Required Text: Kull, T. and Polaski, T. (2010). Lessons in Trigonometry.
Students are encouraged to use office hours as a way to receive extra help.
The Mathematics Tutorial Center and large group review information is available at: www.winthrop.edu/mtc .
Attendance Policy
Daily attendance to class is needed for success in this class. Six or more absences will result in a grade of F. A student more
than ten minutes late for class will be counted as absent. A student less than ten minutes late will be counted as tardy.
Three tardies will count as one absence. A student who leaves class early without prior permission from the instructor will
be counted absent for that period.
General Policies (complete list available on full syllabus)
Review the student code of conduct for university polices on academic misconduct. Academic misconduct will not be
tolerated and will result in a failing grade on the assignment and/or in the course. The full handbook is available online
at: (http://www2.winthrop.edu/studentaffairs/handbook/StudentHandbook.pdf)
All electronic devices (including cell phones) other than a calculator should be set to silent and kept in your book bag or
purse throughout class time unless otherwise instructed. (Note: if you have an educational, health, or physical reason
for an electronic device you must work with your instructor to inform the instructor of the accommodation.)
Sleeping in class will not be tolerated. Any student in violation of this policy will be asked to leave the class and will be
counted absent for the day.
Students are required to receive a grade of C or better in MATH101 to move on to MATH105 or MATH201.
Students planning to take MATH105 are encouraged to consider MATH151 instead of MATH101. MATH101 will move
through material at a significantly faster rate. In addition, MATH151 and MATH105 are taught from the same textbook.
Course Goals and Alignment with the General Education Goals for Logic, Language, and Semiotics Requirement
This course meets the LLS requirement through activities and requirements that require students to: (1) use logic and
mathematical information to draw reasonable conclusions and (2) use the symbols and language of mathematics to
communicate about problems and present solutions.
Course Goals
General Education Goals
Students will develop algebraic skills necessary for success in calculus with
an emphasis on focus on computational skills.
Students will develop the ability to use a variety of multi-step
2.1 Solve mathematical problems of the
mathematical processes necessary for calculus.
type necessary for living in today’s and
Students will demonstrate competence with basic notations used in
tomorrow’s world.
calculus.
2.4 Understand the concept and
Student will develop trigonometric skill necessary for the study of calculus. application of quantitative relationships.
Students will develop an understanding of the connections between the
concepts of the unit circle, rights triangles, and trigonometric functions.
For purposes of departmental and Touchstone Program assessment of student learning in this course, course grades and
success in future calculus courses will be examined. Individual tests may also be used as an indication of progress toward
the above goals.
Policies
1. Review the student code of conduct for university polices on academic misconduct. Academic misconduct will not be
tolerated and will result in a failing grade on the assignment and/or in the course. The full handbook is available online
at: (http://www2.winthrop.edu/studentaffairs/handbook/StudentHandbook.pdf)
2. All electronic devices (including cell phones) other than a calculator should be set to silent and kept in your book bag or
purse throughout class time unless otherwise instructed. (Note: if you have an educational, health, or physical reason
for an electronic device you must work with your instructor to inform the instructor of the accommodation.)
3. Students may not use cell phones, MP3 players, or other electronic devices in place of a calculator. Students may not
share calculators during quizzes, tests, or final exam. Any student caught using an unapproved electronic device during
a quiz, test, or the final exam will receive a grade of zero on that assessment.
4. Please take advantage of your instructor’s office hours when you need assistance outside of class. Additionally, you can
receive assistance in the Mathematics Tutorial Center in Bancroft 165. For an up-to-date schedule of hours that the
Mathematics Tutorial Center is open, visit http://www2.winthrop.edu/mathdpt/mtc.htm.
Tentative Course Schedule
M
W
F
W
F
M
W
F
M
W
Date
1/9
1/11
1/13
1/18
1/20
1/23
1/25
1/27
1/30
2/1
F
2/3
3.1
Functions
M
2/6
3.2
Graphs of Functions
W
2/8
3.3
Properties of functions
F
2/10
3.4
Library of functions; piecewise
M
2/13
3.5
Transformations of graphs
W
2/15
3.5
Transformations of graphs
F
2/17
5.1
Polynomial functions
M
2/20
5.2
Rational functions
W
2/22
5.3
Rational functions
F
2/24
Review
M
2/27
Test Two
W
2/29
6.1
Composite functions
F
3/2
6.2
Inverse functions
M
3/5
6.3
Exponential functions
W
3/7
6.4
Logarithmic fnct & properties
F
3/9
6.5
Logarithmic fnct & properties
M
3/19
6.6
Logarithmic & exponential
equations
W
3/21
Review
F
3/23
Test Three
M
W
F
M
W
F
M
W
F
M
W
3/26
3/28
3/30
4/2
4/4
4/6
4/9
4/11
4/13
4/16
4/18
F
M
4/20
4/23
SU Deadline:
Spring Break:
Section
1.1
1.2
1.4
1.5
1.6
2.2
2.3
2.3
Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Topic
Linear equations
Quadratic equations
Radical equations
Inequalities
Inequalities
Lines
Parallel & perpendicular lines
Parallel & perpendicular lines
Review
Test One
Trigonometric functions
Graphs of the trig functions
The inverse trig functions
Trigonometric identities
Trigonometric formulas
Trigonometric formulas
Trigonometric formulas
Trigonometric equations
Trigonometric equations
Review
Test Four
Key Ideas
Linear & quadratic equations: solving, factoring, quadratic
equation, square roots, completing the square.
Radical equations: solving and recognizing quadratic forms
Solving inequalities: interval notation, properties, absolute
values.
Lines: analyzing, find equations, slopes, average rates of
change, graphing, horizontal / vertical lines.
Parallel / perpendicular lines: slope
Functions: relation, domain, range, variables, difference
quotients, explicit / implicit forms, operations.
Graphs of functions: analyze the graph, vertical line test,
estimating domain/range/intercepts.
Properties of functions: analyze properties, even / odd
behavior, increasing / decreasing intervals, local extrema,
rates of change, secant lines.
Library of functions, piecewise: create list of algebraic
functions.
Transformations of graphs: shifts, stretches, compressions,
reflections.
Polynomial functions: identifying / analyzing
Polynomials: degree, roots, multiplicity, local extrema, end
behavior.
Rational functions: identifying / analyzing
Rationals: limits, asymptotes, proper / improper
characteristics, holes in graphs.
Composite functions: composing / decomposing, finding
domains, showing equality.
Inverse functions: characteristics, one-to-one, domain, range,
graphing.
Exponential functions: nature, laws / properties, graphing, the
number e, solving
Logarithmic functions: nature, domain, graphing, solving
equations, properties, change of base
Logarithmic and exponential equations: solving, extraneous
solutions, using graphing utilities.
Trigonometric functions: definitions, special triangles,
calculator approximations.
Properties: basic properties, domain, range, period, signs,
even / odd characteristics.
Graphs: graphs, domain, range, symmetry, intercepts,
amplitudes, asymptotes.
Inverse trigonometric functions: relationships, one-to-one,
domain restrictions, notation, properties, determining values.
Trigonometric identities: concept of identity, simplification,
proving equality.
Trig formulas: sum, difference, product, half / double angle
Trig equations: solving, quadratic forms, using identities,
verifying solutions, and using technology.
Review for Final Exam
Review for Final Exam
T 1/24
M 3/12 to F 3/16
Course Withdraw Date:
Final Exam:
W 3/7
F 4/27 8am