Math 24-1181 Elementary Algebra
Hartnell College
Summer 2015
Instructor: Dr. YaoTang Liao
Email: yliao@hartnell.edu
Office: N
Class meets: MTTh 8 -10:50 am D279
Office hours: email or by appointment
To obtain class information such as syllabus, announcements and messages, go to
http://www.hartnell.edu/directory/dr-yaotang-liao(tentative)
To access the learning material and online exercises, we will be using the website www.mymathlab.com
Instructions to register are included in this syllabus.
PREREQUISITE
MAT 123: Intermediate Algebra with a grade of "C" or better or
MAT 123L4: Intermediate Algebra Level 4 with a grade of "C" or better
COREQUISITE:
ADVISORY:
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MAT 122: Plane Geometry or students should be familiar with high school level Geometry.
MATERIALS
A scientific calculator.
LIAL Trigonometry with mymathlab Access Code, 10th edition.(You can get an e-book bundled with the
access code directly from mymathlab.com or cheaper than the bundle at the bookstore—and
environmentally friendly!)
Scantron, form 882-E (for all exams)
COURSE DESCRIPTION
Trigonometric functions, inverse trigonometric functions and their graphs, solutions to right and oblique triangles, identities
and conditional trigonometric equations, analytic trigonometry, introduction to vectors, and complex numbers. This course,
along with MAT-25, is designed to prepare students for Calculus.
STUDENT LEARNING OUTCOMES
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OutcomeCore Competenc iesStudent will be able to to graph the six basic trigonometric
functions, and be able to identify c hanges in period, amplitude, and phase shift.
Student will be able to solve applications related to vectors, bearing, angles of elevation and
depression, arc length, area of a sector, and linear and angular velocity.
Student will be able to solve trigonometric equations.

The student will be able to analy ze and apply the most efficient strategies to solve the
following types of problems and judge the reasonableness of the results: right and oblique
triangles, trigonometric equations and areas of triangles.
COURSE OBJECTIVES
Upon satisfactory completion of the course, students will be able to:
1.
2.
determine the measurements of angles in degree and in radian measure.
recognize the six different trigonometric functions as related to both right angle and analytic trigonometry, and
distinguish between them.
3. analyze and graph the six basic trigonometric functions, identifying changes in period, amplitude, and phase
shift.
4. solve applications related to vectors, bearing, angles of elevation and depression, arc length, area of a sector,
and linear and angular velocity.
5. graph the inverse trigonometric functions, and identify their domain and range.
6. evaluate, manipulate and prove trigonometric identities related to the following: reciprocal, ratio, Pythagorean,
sum and difference, double-angle, half-angle, cofunction, and even and odd functions.
7. solve trigonometric equations.
8. know and use basic properties of vectors from an algebraic and geometric perspective.
9. use polar coordinates and graph polar functions.
10. write complex numbers in polar form, compute multiplications, divisions, and powers of complex numbers in
polar form, and apply DeMoivre’s Theorem to find complex roots.
11. analyze and apply the most efficient strategies to solve the following types of problems and judge the
reasonableness of the results: right and oblique triangles, trigonometric equations and areas of triangles.
COURSE CONTENT:
1.Right Triangle Trigonometry
1.Trigonometric functions of an acute angle
1.Using calculators
2.Using special triangles
2.Solving right triangles
2.Applications
3.Trigonometric Functions of any Angle
1.Reference angles
2.Radians and degrees
3.Circular functions
4.Applications: Arc length, area of a sector, and velocities
4. Analytic Trigonometry
1.Basic graphs
2.Amplitude, period, phase shift, reflection, and vertical translation
3.Finding equations from graphs
4.Inverse trigonometric functions
5.Equations and Identities
1.Sum and difference, double-angle and half-angle formulas
2.Prove identities
3.Solve trigonometric equations
6.Solutions of Oblique Triangles
1.The law of sines
2.The law of cosines
3.Area of a triangle
7.Vectors
1.A geometric approach
2.An algebraic approach
3.The dot product
8.Complex Numbers and Polar Coordinates
1.Trigonometric form for complex numbers
2.Products and quotients in trigonometric form
3.Roots of a complex number
4.Equations in polar coordinates and their graphs
SERVICES FOR STUDENTS WITH DISABILITIES
In compliance with equal access laws, I am available to discuss appropriate academic accommodations that you may
require as a student with a disability. Request for academic accommodations should be made as soon as possible, if
possible during the first week of the semester. Students are encouraged to register with Disabled Students Programs
and Services (DSP&S) for disability verification and for determination of reasonable academic accommodations. For
more information, visit CALL building, room 107 or call (831) 755-6760.
GRADING CRITERIA
Online(mymathlab) Exams
40%
Online Homework
25%
A
90 – 100%
B
80 – 89%
C
70 – 79%
Classwork(includes attendance) and Quizzes
10%
D
60 – 69%
Final Exam
F
below 59%
25%
NSTRUCTIONAL METHODOLOGY:
CLASSROOM
Lecture
Individual Assistance
Audiovisual (including PowerPoint or other multimedia)
Demonstration
Discussion
Requires a minimum of three (3) hours of work per unit including class time and homework.
Connec t Math Online Homework
Homework is your opportunity to practice what you have learned during the lectures and the reading, which is a
necessary step in understanding the concepts. Homework will be graded for accuracy and correctness to ensure that
you are practicing the skills correctly and learning the designated concepts. Each problem will be worth one point.
However, since homework will be completed electronically, you will have unlimited opportunities to correct your mistakes
and receive on-line tutorials or hints to achieve the best score possible before you submit it. Homework will be assigned
daily and DUE weekly on Sunday night. Late homework will not be accepted. You are strongly encouraged to work with
other students on the homework and to seek tutoring assistance at the many available sources on campus, but make
sure you know how to do all the problems on your own and are able to perform where it really counts.
Your Course Code is: iao29329
Your Financial Aid Access Code is: (create an account)
The Financial Aid Access Code does not add an additional two weeks to your account.
NOTE: This code gives you temporary access to Connect Math for a two-week period. Once the code expires, you will be locked
out of your Connect Math account until you purchase a regular Student Access Code. It is highly recommended that you purchase
the Student Access Code BEFORE the two weeks expire to prevent interruptions with your Connect Math account.
To sign up to Connect Math using the Financial Aid Access Code, go to: http://www.mymathlab.com
Click on the "Sign up now!" link located under “NEW USER?”
Enter your "Course Code" and press "Continue".
Verify that you are registering for the correct course and click on "Continue." Enter the 20-character Financial Aid Access Code.
Continue with the registration process until your account has been set up successfully.
After you complete your account set up you will be logged into Connect Math and can immediately begin working in the course.
You can extend your Connect Math account at any time by clicking on “extend your account” and entering a purchased Student
Access Code. If your temporary access expires before you purchase a Student Access Code, simply log in to mymathlab and you
will be directed on how to extend your current account.
Exams
There will be four exams and a comprehensive final exam. Notes and calculators will not be allowed during exams.
Exam dates are(tentative):

Exam #1 TBD
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Exam #2 TBD
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Exam #3 TBD
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Exam #4 TBD
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Final Exam TBD
The exams will be multiple choice, and short answer and will require that you purchase scantron sheets form 882-E.
Please remember to bring the scantron and a #2 pencil to the exam. Exams will be closed book, closed notes.
Absolutely no cell phones are allowed during the exam.
The week before the exams, I will pass out a practice midterm exam, which will contain questions that you can use as a
guide to study for the midterms. The questions on the exam will cover what I talked about in class so it is important to
take good notes during the lectures as some of the material will not be covered in the book. The questions on the
actual exam will be similar (but not necessarily the same) as the practice exam questions so be sure to look up
the answers for all the questions on the practice exam. The actual exam will also contain between 20%
additional questions that will not be covered on the practice exam.
The final exam will be cumulative (will cover everything!) and must be taken in order to pass the class.
Week #
Week 4
All homework will be completed using Connect Math. Classwork (CW) will be completed
during class working in groups or individually.
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials
5.7 Division of Polynomials
CW: Ch5 Problem Recognition B (TBA)
6.1 GCF and Factoring by Grouping
6.2 Factoring Trinomials of the form x2+bx+c
6.4 Factoring Trinomials: AC method
CW: Group Quiz
Week 5
6.5 Difference of Squares & Perfect Square Trinomials
CW: Ch6 Problem Recognition A (TBA)
CW: Review (TBA)
Exam #3 (5.1-5.7, 6.1-6.5)
6.7 Solving Equations Using Zero Product Rule
CW: Ch6 Problem Recognition B (TBA)
6.8 Applications of Quadratic Equations
7.1 Intro to Rational Expressions
7.2 Multiplication & Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition & Subtraction of Rational Expressions
Week 6
CW: Ch7 Problem Recognition A (TBA)
7.5 Complex Fractions
8.1 Roots & Radicals
8.2 Simplifying Radicals
Ch9
CW: Review
Exam #4 (6.7-6.8, 7.1-7.5, 8.1-8.3, ch9)
CW: Review for final exam
Final Exam TBD
This syllabus will subject to change as needed during the course of the semester.
Due Date