Course Syllabus

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Math 140 Trigonometry Fall 2020

Class Information

Recording of the  Orientation from Monday 8/17/20 at 11:00 am

Ticket # 20351

Semester: Fall 2020                  Room: Online                      Aug 17, 2020 - Dec 18, 2020

Instructor: Daniela Cortez                         e-mail: dcortez@cerritos.edu                   Phone: 562-860-2451 ext. 2664 (N/A for Fall 2020)

Textbook: Openstax Algebra-Trigonometry along with the Adaptive Online Learning Course ware knewton-Alta 

                         Note: The Algebra-Trigonometry textbook is a free resource from openStax. However, the knewton-Alta course ware must be purchased (Details under homework below)

Corequisite:  This Math 140 course is linked with a 1-unit Math 5, Ticket # 30699

 

Calculators: A graphing calculator is required for this course.  A Texas Instruments calculator (84+, 84+C se) is strongly recommended.

 

Office Hours (Regular)

Tuesdays and Thursdays from 12:30 pm to 1:30 pm

Office Hours During Finals Week

Monday 12/14/20 from 1:00 pm to 2:00 pm.

Tuesday 12/15/20 from 1:00 pm to 2:00 pm.

Friday 12/18/20 from 11:00 am to 12:00 noon.

Tutoring : Via Confer Zoom 

During the first week of classes on Tuesday and Thursday from 11:00 am - 1:00 pm, Wednesday from 7:30 pm - 9:30 pm and Friday from 12:00 pm - 2:00 pm.

Letter of Introduction from your Embedded Tutor

Success Center Tutoring: Visit the website or use the link below

Cerritos Success Center Math Tutoring

Student Learning Outcomes:

1) Understand the definition of the six basic trigonometric functions and use them to evaluate expressions and solve equations and applications

2) Understand how to select an appropriate trigonometric identity to solve equations involving trigonometric functions

3) Demonstrate understanding and use of mathematical (trigonometric) symbols, notation, and syntax appropriately

4) Explore and analyze trigonometric functions using technology appropriately

 

Course Description

The study of Trigonometry includes circular functions, inverses, graphs, angles and trigonometric functions, solutions of right and oblique triangles, identities, solutions of equations and complex numbers

 

Homework

Homework for this online course is mostly due weekly every Sunday at 11:59 pm . However, it is intended for you to work at a rate of about one section assignment per day so that you are caught up by the quiz or exam date.  Each homework assignment is worth 10 points and it will be automatically graded on canvas by the due date.

Homework is allowed to be completed two days late, with a deduction of 10%  per day.

For this course, you will purchase Knewton-Alta, available on Canvas as soon as the semester starts when you access any homework assignment. Knewton-Alta is an adaptive learning system which may allow you to finish your assignment  in a short period of time  if you have learned the material well. However, due to its adaptive capability, it will provide remediation concepts when you answer the homework problems incorrectly.  This may take you more time to finish your homework than expected.

The idea is that students first read the textbook and/or the related instruction as well as watch the videos from Knewton-Alta before they attempt the course work.

Take advantage of all the resources provided by Knweton-Alta.

 

Quizzes

There will be four online quizzes throughout the semester. Each quiz will cover the content of one chapter. The quizzes will be open for about four days and two attempts per quiz are allowed. There are no make-up quizzes.

 

Discussions 

In order to allow student collaboration, there may be graded class discussions through out the semester.  The prompts for each discussion will cover overarching topics from one or more  modules. Your classmates will be able to see your posts. Please read Web Etiquette.

 

Exams

There will be three online proctored exams and one comprehensive online proctored  final exam. Exams will be open for a whole week and you will be allowed two attempts. Once you start the exam you will have two and a half hours to complete it. All exams will be remotely proctored, thus a laptop or desktop web cam is necesary to take the exams. You will be allowed to use a printer paper with formulas and concepts written (not typed). The paper may only contain formulas, definitions, and concepts but not worked out examples or homework problems; the papert will be scanned and submitted before the exam as a pdf file on canvas. Directions on how to submit work on canvas are under the student resources module.

No make-up exams will be given unless documented proof is presented stating the unexpected emergency conflicts with the entire week in which the exam is to be taken. You must take the final exam to pass the course.

 

 

Grading Policy

Grades are based upon the combination of points on a weighted scale. Points will be given for online homework, quizzes, exams and final exam.
Homework, quizzes and discussions make up  30% of the grade. Exams and Final Exam  make up 70% .

Where A: 90-100%                      B: 80-89%                                 C: 70-79%                           D: 60-69%                           F: 59 & below

 

Attendance Policy 

Cerritos College Attendance and Grading policies: It is the responsibility of students to attend classes regularly and apply themselves to the college studies in which they are enrolled... Students not in attendance or late for the first class meeting are subject to drop.  Students who are absent in excess of 10% of the total class hours are subject to drop.  Students who are absent during the course add period are subject to drop.

This course is a four-unit course taught in a 18-week format.  Total "class" hours for this course are 72 hours.  This means that if you miss more than 8 hours (or the equivalent of two Modules since each module "class time" is equivalent to four hours), you could be dropped.  Again, federal law requires faculty to drop online students for non-participation.

 

Deadlines

It is the student’s responsibility to withdraw from the course before the deadline. Failure to officially withdraw from class will result in an “F” grade for the course.

Dead line to withdraw from the class without a “W” is September 6, 2020.
Dead line to withdraw from the class with a “W” November 20, 2020.


Academic Integrity

If you are caught participating in an act of academic dishonesty, you will receive a disciplinary F in the course and your name will be reported to the appropriate academic dean. 


Student-Teacher Communication

You may contact me:

Via Canvas (Inbox): Anytime during the semester. Please allow at least one day for a response.

Via e-mail to dcortez@cerritos.edu: Anytime during the semester. Please allow at least one days for a response. 

Via voicemail: 562-860-2451 Ext: 2664 Not available during the Fall 2020 semester.

How to communicate via email:

  • Under subject: Full Name and Course you are enrolled
  • Reason for your email: Concise and clear

 

Student Accessibility Services (SAS)

 If you have a disability for which you are or may be requesting an accommodation, you are encouraged to contact both your instructor and the Student Accessibility Services at (562) 860-2451 ext.2335, as early as possible in the term. During the Fall 2020 semester, you may contact SAS by visiting their website for details at https://www.cerritos.edu/sas/ 

 

Technology Requirements

 Basic Computer Skills

In order to succeed in a Mathematics online course, it is important for you to have access to a computer as well as general computer skills. You must be able to connect to and navigate the internet as well as use e-mail comfortably. 

 

Supplies

You will need a computer with the ability to open Adobe Acrobat Reader, Microsoft Word, Power Point and Adobe Flash to play videos.

 

Cerritos College Computer Lab

As a registered student you may access this course using any properly equipped Cerritos College computer lab computer. You will need a current Cerritos College Student ID in order to use the campus lab facilities. Even if you rely on machines in the campus labs, to utilize the email aspect of a course, you must have your own email account. Free email accounts are readily available from many online sources such as Google, Yahoo, and Hotmail.

 

Technical Support

Please contact me via the Inbox or email (dcortez@cerritos.edu) early in the week if you do not understand instructions.  Do not wait until the day an assignment is due or even the weekend the assignment is due to work on the assignment. If you have problems then, I will not be able to help you.  Remember, late assignments, for whatever reason, will be considered late.

If you have technical problems, please contact the Online E-Courses Technical Support link (TNStudentHelp@cerritos.edu).  I cannot help you with technical problems however, you may wish to let me know that you are having technical problems and that you have contacted Tech Support.

 You may also be able to get assistance from the Student Success Center. Their Web site can be found at: http://cms.cerritos.edu/sc/.

 

Web Etiquete

  • Be Respectful to your fellow classmates and instructor
  • Be aware that what you write may be misconstrued, so think about it before you send it.
  • Do not write in all capitals. This is considered SHOUTING
  • Do not belittle any of your classmates opinions and ideas. Everyone is entitled to their own ides whether you like it or not, it is ok to disagree in a constructive way
  • Do not write in texting language. If you are "U" make sure you spell out you
  • Do not expect immediate responses to questions. Just because this is an online class does not mean that fellow students and/or instructor is always online and available. All questions will be answered within 24 hours unless it is the weekend, then questions will be answered on Monday

 

Full Syllabus as a Word Document

______________Math 140 Online  First 9 Weeks Tentative Schedule Fall 2020 (Subject to change)________________________

WEEK

DATE

OpenStax Textbook

(by section)

 

Objective from Knewton-Alta

Week 10

M,   Oct 19

 

 

 

Sec. 8.3

 

Introduction to Inverse Trigonometric Functions (3.3.1)

Understand inverse sine, cosine, and tangent functions

Understand inverse secant, cosecant, and cotangent functions

Use a calculator to evaluate inverse trigonometric functions

 

W,  Oct 21

 

 

 

 

 

 

Sec. 9.5

 

 

Sec. 9.5

 

 

Trigonometric Equations in Sine and Cosine (4.5.1)

Solve linear trigonometric equations in sine

Solve linear trigonometric equations in cosine

Trigonometric Equations Involving a Single Trigonometric Function (4.5.2)

Solve linear trigonometric equations in secant and cosecant

Solve linear trigonometric equations in tangent and cotangent

Solve trigonometric equations using a calculator                                                                 

Week 11

M,  Oct 26

 

 

 

 

 

 

 

Sec. 9.5

 

 

 

Sec. 9.5

 

Trigonometric Equations in Quadratic Form or Requiring Factoring (4.5.3)

Solve equations with a single trigonometric function

Solve factorable trigonometric equations in quadratic form  

Solve trigonometric equations in quadratic form requiring the quadratic formula

Trigonometric Equations Requiring Identities or Multiple Angles (4.5.4)

Solve trigonometric equations using fundamental identities

Solve trigonometric equations with multiple angles

Solve trigonometric equations using cofunction identities

 

W, Oct 28

 

 

Sec. 8.3

 

Solve Triangles with Inverse Trigonometric Functions (3.3.2)

Find an angle given two sides of a right triangle

Solve right triangle problems            *Quiz 4 (Chapter 4)/Due Sunday 11/01/20                                                    

Week 12

M,  Nov 2

 

 

Sec. 10.1

 

Area of Oblique Triangles (5.2.2)

Find the area of an oblique triangle using the sine function

Use Heron's formula to find the area of a triangle

 

W  Nov 4

 

 

 

Sec. 10.1

 

Law of Sines (5.1.1)

Use the law of sines to solve ASA or AAS triangles

Use the law of sines to solve SSA triangles

Solve applied problems with the law of sines

Week 13

M,    Nov 9

 

 

 

Sec. 10.2

 

Law of Cosines (5.2.1)

Use the law of cosines to solve SAS triangles

Use the law of cosines to solve SSS triangles

Solve applied problems with the law of cosines

 

W,  Nov 11

 

   Veteran’s      

       Day  

 

 

 

Sec. 10.8

 

 

Sec. 10.8

 

 

Properties of Vectors (5.8.1)

Understand properties of vectors and find the position vector

Find magnitude and direction of a vector

Vector Addition and Scalar Multiplication (5.8.2)

Add or subtract vectors

Multiply a vector by a scalar

Use vector addition and scalar multiplication to find a new vector

Week 14

M,  Nov 16

 

 

 

 

 

 

 

 

Sec. 10.8

 

 

 

 

Sec. 10.8

 

 

The Unit Vector (5.8.3)

Write a vector in terms of i and j

Find the unit vector

Perform operations on vectors in terms of i and j

Write a vector in terms of magnitude and direction

The Dot Product and Vector Applications (5.8.4)

Find the dot product of two vectors

Find the angle between two vectors  

Use vectors in applications

 

W,  Nov 18

 

 

 

 Review

* Exam 3 (Chapters 7-8) *

Available from Monday 11/16/20 to Monday 11/23/20

Week 15

M,  Nov 23

 

 

 

Sec. 10.5

 

Write Complex Numbers in Polar Form (5.5.1)

Plot complex numbers

Find the absolute value of a complex number

Write complex numbers in polar form

Convert a complex number from polar to rectangular form

 

W,  Nov 25

 

Thanksgiving

 11/26-11/27                                                                                                  

Sec. 10.3

 

Convert Coordinates Between Rectangular and Polar Forms (5.3.1)

Plot points using polar coordinates

Convert from polar coordinates to rectangular coordinates

Convert from rectangular coordinates to polar coordinates

Week 16

M,  Nov 30

 

 

 

 

Sec. 10.3

 

 

Sec. 10.5

 

Convert Equations Between Rectangular and Polar Forms (5.3.2)

Write a cartesian equation in polar form

Write a polar equation in cartesian form                                                                                                           Product and Quotient of Complex Numbers in Polar Form (5.5.2)

Find the product of complex numbers in polar form

Find the quotient of complex numbers in polar form

 

W,  Dec 2

 

 

Sec. 10.5

 

Powers and Roots of Complex Numbers in Polar Form (5.5.3)

Find powers of complex numbers in polar form

Find roots of complex numbers in polar form

Week 17

M,   Dec7

 

 

 

 

 

 

 

 

 

Sec. 10.4

 

 

 

 

Sec. 10.6

 

Introduction to Graphing Polar Equations (5.4.1)

Test a polar equation for symmetry

Find zeros and maximum values for a polar equation and graph polar equations by plotting points

Graph a circle or a line from a polar equation

Graph Classic Polar Curves (5.4.2)

Graph a cardioid from a polar equation

Graph a limacon from a polar equation  

Graph a lemniscate from a polar equation  

Graph a rose curve from a polar equation

 

W,  Dec 9

 

 

Sec. 10.6

Write Parametric Equations (5.6.1)

Parameterize a curve

 Find the parametric equations for a line segment given an orientation

Week 18

M,  Dec 14

 

Finals Week: Review

 

W, Dec 16

 

 

****Final Exam****

        (Chapters 1-5)

Available from Monday 12/14/20 to Friday 12/18/20

 

The instructor reserves the right to make any changes to the course schedule.

Textbook:

Great news: your textbook for this class is available for free online!
Algebra and Trigonometry from OpenStax, ISBN 1-947172-10-7

You have several options to obtain this book:

  • View online (Links to an external site.) (Links to an external site.)
  • Download a PDF (Links to an external site.) (Links to an external site.)
  • Order a print copy (Links to an external site.) (Links to an external site.) 

You can use whichever formats you want. Web view is recommended -- the responsive design works seamlessly on any device.

 

Course Summary:

Course Summary
Date Details Due