Math 24-1181 Elementary Algebra

Hartnell College

Summer 2015Instructor: Dr. YaoTang LiaoEmail: yliao@hartnell.eduOffice: NClass meets: MTTh 8 -10:50 am D279Office hours: email or by appointmentTo obtain class information such as syllabus, announcements and messages, go tohttp://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.

PREREQUISITEMAT 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:

• 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—andenvironmentally friendly!)

Scantron, form 882-E (for all exams)

COURSE DESCRIPTION

Trigonometric functions, inverse trigonometric functions and their graphs, solutions to right and oblique triangles, identitiesand 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

OutcomeCore CompetenciesStudent wil l be able to to graph the six basic trigonometricfunctions, and be able to ident ify changes in period, ampli tude, and phase shi ft .

Student wil l be able to solve applicat ions related to vectors, bearing, angles of elevation anddepression, arc length, area of a sector, and l inear and angular velocity.

Student wil l be able to solve trigonometric equations.

The student wil l be able to analyze and apply the most eff icient strategies to solve thefollowing types of problems and judge the reasonableness of the results: right and obliquetriangles, tr igonometric equat ions and areas of tr iangles.

COURSE OBJECTIVES

Upon satisfactory completion of the course, students will be able to:

1. determine the measurements of angles in degree and in radian measure.2. 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 angle1.Using calculators2.Using special triangles

2.Solving right triangles2.Applications3.Trigonometric Functions of any Angle

1.Reference angles2.Radians and degrees3.Circular functions4.Applications: Arc length, area of a sector, and velocities

4. Analytic Trigonometry1.Basic graphs2.Amplitude, period, phase shift, reflection, and vertical translation3.Finding equations from graphs4.Inverse trigonometric functions

5.Equations and Identities1.Sum and difference, double-angle and half-angle formulas2.Prove identities3.Solve trigonometric equations

6.Solutions of Oblique Triangles1.The law of sines2.The law of cosines3.Area of a triangle

7.Vectors1.A geometric approach2.An algebraic approach3.The dot product

8.Complex Numbers and Polar Coordinates1.Trigonometric form for complex numbers2.Products and quotients in trigonometric form3.Roots of a complex number4.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 mayrequire as a student with a disability. Request for academic accommodations should be made as soon as possible, ifpossible during the first week of the semester. Students are encouraged to register with Disabled Students Programsand Services (DSP&S) for disability verification and for determination of reasonable academic accommodations. Formore information, visit CALL building, room 107 or call (831) 755-6760.

GRADING CRITERIA

Online(mymathlab) Exams 40%

Online Homework 25%

Classwork(includes attendance) and Quizzes10%

Final Exam 25%

A 90 – 100%

B 80 – 89%

C 70 – 79%

D 60 – 69%

F below 59%

NSTRUCTIONAL METHODOLOGY:CLASSROOMLectureIndividual AssistanceAudiovisual (including PowerPoint or other multimedia)DemonstrationDiscussionRequires a minimum of three (3) hours of work per unit including class time and homework.

Connect Math Online Homework

Homework is your opportunity to practice what you have learned during the lectures and the reading, which is anecessary step in understanding the concepts. Homework will be graded for accuracy and correctness to ensure thatyou 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 mistakesand receive on-line tutorials or hints to achieve the best score possible before you submit it. Homework will be assigneddaily and DUE weekly on Sunday night. Late homework will not be accepted. You are strongly encouraged to work withother students on the homework and to seek tutoring assistance at the many available sources on campus, but makesure you know how to do all the problems on your own and are able to perform where it really counts.

Your Course Code is: iao29329Your 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 lockedout of your Connect Math account until you purchase a regular Student Access Code. It is highly recommended that you purchasethe 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.comClick 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 StudentAccess Code. If your temporary access expires before you purchase a Student Access Code, simply log in to mymathlab and youwill 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 Exam #2 TBD Exam #3 TBD Exam #4 TBD 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 aguide to study for the midterms. The questions on the exam will cover what I talked about in class so it is important totake good notes during the lectures as some of the material will not be covered in the book. The questions on theactual exam will be similar (but not necessarily the same) as the practice exam questions so be sure to look upthe 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 # All homework will be completed using Connect Math. Classwork (CW) will be completedduring class working in groups or individually.

Due Date

Week 4 5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of PolynomialsCW: Ch5 Problem Recognition B (TBA)

6.1 GCF and Factoring by Grouping6.2 Factoring Trinomials of the form x2+bx+c6.4 Factoring Trinomials: AC methodCW: Group Quiz

Week 5 6.5 Difference of Squares & Perfect Square TrinomialsCW: 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 RuleCW: Ch6 Problem Recognition B (TBA)6.8 Applications of Quadratic Equations7.1 Intro to Rational Expressions

7.2 Multiplication & Division of Rational Expressions7.3 Least Common Denominator7.4 Addition & Subtraction of Rational Expressions

Week 6 CW: Ch7 Problem Recognition A (TBA)7.5 Complex Fractions8.1 Roots & Radicals

8.2 Simplifying RadicalsCh9CW: 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.