Download Required Course Topics, MATH145 – Beecher (Trig)

South Portland, Maine 04106
Mathematics Department
Title: College Algebra and Trigonometry
Credit Hours: 4
Lecture: Preble 107 (TTh)
Office Hours – Tu Th 5-5:30pm
Location: Math Common Room
Preble 2
Catalog Number: Math 145 Sect 05
Total Contact Hours: 60
Instructor: John Kane
Contact Information:
[email protected] 917-496-6647
Course Syllabus
Math145 College Algebra and Trigonometry
Semester Fall 2014 Course Syllabus
MY MATH LAB ID : kane 73946
Course Name : College Algebra and Trigonometry (Math145 Sect 05)
www.pearsonmylabs.com
ACCESS CODE in your book package
Course Description
This course covers variables and symbols; scientific notation; formulas and literal equations; slope,
intercepts, and equations of lines; graphs of linear and quadratic functions; graphs of linear inequalities;
solving systems of linear equations; polynomials, products and factors; roots, rational exponents, and
complex numbers; rational expressions; solving linear, quadratic, and higher order equations; solving
linear inequalities; an introduction to exponential and logarithmic functions; degree and radian angle
measurement; right angle trigonometry and its applications; trigonometric functions and their inverses;
graphing trigonometric functions; solutions of oblique triangles; vectors; applied problem solving troughout
(word problems!). 4 credits
Prerequisite: MATH 050 or its equivalent or Placement test
Course Objectives
Upon successful completion of the course, the student will be able to:
1. Use the properties of real numbers to simplify and evaluate expressions.
2. Solve linear equations and inequalities.
3. Use and transform formulas and functions.
4. Graph linear equations and inequalities in one and two variables.
5. Write the three forms of the equation of a line.
6. Solve systems of linear equations by graphing, substitution, and addition.
7. Apply the laws of exponents and use scientific notation.
8. Factor and perform operations with polynomials.
9. Solve quadratic equations by three methods: factoring, completing the square, and by using the
Quadratic Formula.
10. Graph quadratic equations.
11. Perform operations with rational algebraic expressions, and solve rational equations.
12. Simplify and perform operations with radical expressions and rational exponents.
13. Use exponential and logarithmic functions.
14. Convert angles from degrees to radians and vice versa.
15. Solve right triangles using trigonometry.
16. Calculate the six trigonometric functions of any angle and find their inverses.
17. Graph the trigonometric functions.
18. Solve oblique triangles using the Law of Sines and the Law of Cosines.
19. Use trigonometry to find the components of vectors and to add vectors.
20. Solve word problems using the above 19 skills, one or more at a time.
Required Course Topics, MATH145 (Lial)
Chapter 1 Review of the Real Numbers
all sections
1.1 Basic Concepts
1.2 Operations on Real Numbers
1.3 Exponents, Roots, and Order of Operations
1.4 Properties of Real Numbers
Chapter 2 Linear Equations, Inequalities & Applications
all sections
2.1 Linear Equations in One Variable
2.2 Formulas and Percents
2.3 Applications of Linear Equations
2.4 Further Applications of Linear Equations
2.5 Linear Inequalities in One Variable
2.6 Set Operations and Compound Inequalities (Objectives 2 & 4 only)
2.7 Absolute Value Equations and Inequalities
Chapter 3 Graphs, Linear Equations, and Functions
all sections
3.1 The Rectangular Coordinate System (Objectives 1–6 only)
3.2 The Slope of a Line
3.3 Linear Equations in Two Variables
3.4 Linear Inequalities in Two Variables
3.5 Introduction to Relations and Functions
3.6 Function Notation and Linear Functions
Chapter 4 Systems of Linear Equations
4.1, 4.2, 4.3 (exclude 4.4)
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables (Objectives 1 & 2 only)
4.3 Applications of Systems of Linear Equations (Objectives 1–3 only)
Chapter 5 Exponents, Polynomials, & Polynomial Functions
all sections
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Polynomial Functions and Graphs (Objectives 1 & 2 only)
5.4 Multiplying Polynomials (Objectives 1–5 only)
5.5 Dividing Polynomials (Objectives 1 & 2 only)
Chapter 6 Factoring
all sections
6.1 Greatest Common Factors and Factoring by Grouping
6.2 Factoring Trinomials (Objectives 1, 2, & 4 only)
6.3 Special Factoring
6.4 A General Approach to Factoring
6.5 Solving Equations by Factoring
Chapter 7 Rational Expressions and Functions
all sections
7.1 Rational Expressions and Functions; Multiplying and Dividing
7.2 Adding and Subtracting Rational Expressions
7.3 Complex Fractions
7.4 Equations with Rational Expressions and Graphs (Objectives 1 & 2 only)
7.5 Applications of Rational Expressions (Objectives 1-3, & 5 only)
7.6 Variation (Objectives 1-3 only)
Chapter 8 Roots, Radicals, & Root Functions
all sections
8.1 Radical Expressions and Graphs (Objectives 1, 2, 4, & 5 only)
8.2 Rational Exponents
8.3 Simplifying Radical Expressions (Objectives 1, 2, 3, & 5 only)
8.4 Adding and Subtracting Radical Expressions
8.5 Multiplying and Dividing Radical Expressions
8.6 Solving Equations with Radicals (Objectives 1, 2, & 3 only)
8.7 Complex Numbers
Chapter 11 Inverse, Exponential, & Logarithmic Functions
11.2 & 11.3 only
11.2 Exponential Functions (Objectives 1 & 3 only)
11.3 Logarithmic Functions (Objectives 1, 2, & 3 only)
Chapter 9 Quadratic Equations & Inequalities
9.1–9.4 only (exclude 9.5)
9.1 The Square Root Property and Completing the Square
9.2 The Quadratic Formula (Objectives 2 & 3 only)
9.3 Equations Quadratic in Form
9.4 Formulas and Further Applications (Objectives 3 & 4 only)
Chapter 10 Additional Graphs of Functions and Relations
10.3 only
10.3 More About Parabolas and Their Applications
(Objectives 1, 2, 3, & 4 only; for objective 1, begin with example 3 to exclude
finding the vertex by completing the square)
Required Course Topics, MATH145 – Beecher (Trig)
Ch 1 The Trigonometric Functions
Selected topics from 1.1 to 1.5 (Omit 1.6)
Trigonometric Functions of Acute Angles
Applications of Right Triangles
Trigonometric Functions of Any Angle
Radians, Arc Length and Angular Speed
Circular Functions: Graphs and Properties
Ch 3 Applications of Trigonometry
3.1, 3.2 and selected topics in 3.5
Law of Sines
(Omit 3.3, 3.4 and 3.6)
Law of Cosines
Vectors and Applications
Pacing Schedule
A detailed Pacing Schedule is available as a handout and on line. It is our official class schedule and lists
all topics as well as in class tests, review days and important dates from the SMCC Academic Calendar.
NOTE: Due to the accelerated pacing of this course, Chapters 1 and 2 in Lial are considered review.
Therefore these lectures will be brief and students are expected to review them on their own.
Course Requirements
Required Text, Tools, and/or Supplies
1. Algebra for College Students, Lial, Hornsby, & McGinnis, 7th ed., Pearson, 2012
2. Access to Course Compass/My Math Lab
PLEASE NOTE: The algebra textbook is also on line, so you may choose to buy only the access code.
Be careful buying from a third party. Access codes are specific to SMCC.
3. Trigonometry, 2nd Edition, Beecher, Penna and Bittinger, Pearson-Addison Wesley, 2008.
PLEAE NOTE: The Trig book is NOT on line, so the hard copy book must be purchased.
4. A scientific calculator is required. Cell & Smart Phones will not be allowed during the four tests.
Student Evaluation and Grading
Students are expected to attend all scheduled classes, do the homework assigned each day for the next
class (even though the due dates are in the future), take tests, and be active participants in the class.
Students are required to use MyMathLab for homework and mastery quizzes. Students are expected to
be able to send and receive email messages with attachments and are required to contact their instructor
whenever they are absent. Each time you send an email to your instructor, put your full name and MATH
145 in the subject line along with your Section Number. When you have questions while working in
MyMathLab or disagree with an answer provided, you may notify your instructor using the Ask My
Instructor button found to the right of each homework problem. It is your responsibility to keep up with
scheduled assignments. Tutorial support is available online through MyMathLab, tutorial help is available
through the SMCC Academic Achievement Center, and students may arrange help from their instructors.
Student Evaluation and Testing
There will be three unit tests for algebra and one for trig, a total of four in class tests. The tests are not
cumulative, so there is no “final” as such. MyMathLab homework will be counted as part of the grade.
There is one Matery Quiz at the end of each chapter in MML, also counted as part of the grade. Students
will be allowed four takes on the Mastery Quizzes. The weighting scheme for grading the course is:
60% Exams (4 exams, in class, not cumulative)
15% MyMathLab Homework
15% MyMathLab Mastery Quizzes
10% Attendance / Class Participation
Notebooks are strongly recommended and note taking will be checked in class.
Student Evaluation and MyMathLab Homework Due Dates
MyMathLab homework due dates are set for the class following the lecture as listed in the Pacing Guide.
Students are permitted to work the MML homework after the due dates but a 10% penalty is automatically
deducted only on those questions worked after the due date. Students are urged to try as many
problems as possible before the due dates. Credit earned on timely worked questions remains in effect.
Student Evaluation and MyMathLab Mastery Quiz Due Dates
MyMathLab mastery quiz due dates are set for the class following the in class unit test for those topics, as
listed in the Pacing Guide, excepting Test #4. This allows students to catch up after a test and affords
MML opportunities the entire duration of the course. Students are not permitted to work the mastery
quizzes after the due date unless permission to extend those dates is granted by Mr. Kane. The mastery
quizzes can be worked up to four times before the due date. The second to fourth tries can be
abbreviated by the student to include only those question numbers worked incorrectly on previous tries.
(You will have to populate dummy answers to get to those questions you intend to work.) MML will grade
it harshly but Mr. Kane will replace the grade with one representing an accumulated number of correct
and partially correct answers. Partial Credit is automatic on some questions and Mr. Kane will attempt to
review at least one mastery quiz per student for the purpose of giving partial credit where possible and
detailed feedback via email. Subsequent quizzes are eligible for partial credit, Mr. Kane’s time permitting.
Attendance Policy
Students are required to adhere to the College attendance policy. Three unexcused absences in a row
require an grade of WF. Any absence will be considered excused at Mr. Kane’s discretion and will
require an email for both documentation and common courtesy. You will receive a confirmation email in
response to your absence notification.
End-of-Course Evaluation
Students complete evaluations for each course attended at SMCC. Evaluations are submitted online and
can be accessed through the student portal. Students can access the course evaluations beginning one
week before the end of classes. The deadline for submission of evaluations occurs Monday at 5 PM
following the last day of the class. You will receive an email to your student email account when course
evaluations are available.
ADA Syllabus Statement
Southern Maine Community College is an equal opportunity/affirmative action institution and employer.
For more information, please call 207-741-5798. If you have a disabling condition and wish to request
accommodations in order to have reasonable access to the programs and services offered by SMCC, you
must register with the Disability Services Coordinator, Sandra Lynham, who can be reached at 741-5923.
Further information about services for students with disabilities and the accommodation process is
available upon request at this number. Course policies about online testing are modified to suit each
individual’s accommodations.
SMCC Pay-for-Print Policy
Per Page Costs
Each semester students receive a $20 printing credit. The balance resets at the end of the semester and any
remaining credits are removed. The cost varies depending upon page size and whether printing is done in
black and white or color.
a. There is a $0.10 per page fee for standard 8.5" by 11" black and white documents.
b. The reverse sides of duplex (double-sided) documents are free.
c. There is a $.50 per page fee for standard 8.5" by 11" color documents.
d. There is a $.20 per page fee for 8.5" by 14" (legal) or 11" by 17" (tabloid) black and white
documents.
e. There is a $1.00 per page fee for 8.5" by 14" (legal) or 11" by 17" (tabloid) color documents.
Duplex charges (printing on both sides of a page) work in the following fashion: One page is $0.10, two
pages are $0.10, three pages are $0.20, and four pages are $0.20, etc. The flipsides are free, but another
sheet of paper is $0.10. Please be aware that a document with any color at all (when printed to a color
printer) will by default be printed in color. You are responsible for setting the print job to print black and
white if you do not need color. For directions, please go to the IT Help tab in My SMCC.
How does it work?
The College’s pay-for-print system monitors printing on all printers (including those in general access
labs, library printers, the Academic Achievement Center, Noisy Lounge and technology labs). Students
can check the number of pages they have printed by using the Printing Balance tool available on SMCC
computers (located in the lower right corner of the screen, near the clock). Departments with work study
students who need to print documents for the department should contact the Help Desk at 741-5696 to
have a special account set up.
Refunds
Print jobs are eligible for a refund in the event of mechanical or electronic error on the part of the printer,
print server, or software used to submit the job. Jobs are not eligible for a refund in cases where the job
was not set up correctly, was submitted multiple times, or the student is not satisfied with the result. To
request a refund, please bring the offending print to the IT Department in the basement of the Ross
Technology Center. Refunds will be granted in the form of a credit to the student’s account.
Why is SMCC charging for printing?
The pay-for-print system is an effort to control escalating printing costs. Charging for printing helps offset
the increasing cost of supplies and encourages students to conserve resources. To find ways to reduce
your printing charges, please go to the IT Help tab on My SMCC. If you have questions about the payfor-printing policy or your printing charges, please contact the Help Desk at 741-5696 or send an email to
[email protected].
Be sure to log OUT of the system when you’ve finished your printing, to prevent unauthorized access to
your account.
Add-Drop Policy
Students who drop a course during the one-week “add/drop” period in the fall and spring semesters and
the first three days of summer sessions receive a 100% refund of the tuition and associated fees for that
course. Please note any course that meets for less than the traditional semester length, i.e., 15 weeks, has a
pro-rated add/drop period. There is no refund for non-attendance.
Withdrawal Policy
A student may withdraw from a course only during the semester in which s/he is registered for that
course. The withdrawal period is the second through twelfth week of the fall and spring semesters and the
second through ninth week of twelve-week summer courses. This period is pro-rated for shorter-length
courses. To withdraw from a course, a student must complete and submit the appropriate course
withdrawal form, available at the Enrollment Service Center (no phone calls, please). The designation
“W” will appear on the transcript after a student has officially withdrawn. A course withdrawal is an
uncompleted course and may adversely affect financial aid eligibility. Failure to attend or ceasing to
attend class does not constitute withdrawal from the course. There is no refund associated with a
withdrawal.
Plagiarism Statement
Adherence to ethical academic standards is obligatory. Cheating is a serious offense, whether it consists
of taking credit for work done by another person or doing work for which another person will receive
credit. Taking and using the ideas or writings of another person without clearly and fully crediting the
source is plagiarism and violates the academic code as well as the Student Code of Conduct. If it is
suspected that a student in any course in which s/he is enrolled has knowingly committed such a
violation, the faculty member should refer the matter to the College’s Disciplinary Officer and
appropriate action will be taken under the Student Code of Conduct. Sanctions may include suspension
from the course and a failing grade in the course. Students have the right to appeal these actions to the
Disciplinary Committee under the terms outlined in the Student Code of Conduct.