Course Syllabus
Trigonometry 64104 Syllabus
Instructor: Jorge Guerra
Department: Mathematics
Office: Math & Science Office
e-mail: Guerra_Jorge@sac.edu
MyMathLab Course: guerra80862
Office Hours: Monday 11:30 to 12:30 @ Math Center (above Library)
Text: Trigonometry 4th Edition by Dugopolski (MyMathLab Course: guerra80862)
Course Outline: This is an introductory course in Trigonometry. Topics to be covered include an Introduction to Angles and the Trigonometric Functions, Graphs of Trigonometric Functions, Trigonometric Identities, Trigonometric Equations, Applications of Trigonometry, Complex Numbers, and Polar Equations.
Student Learning Outcomes:
- Students will be able to solve Trigonometric problems involving Angles; Right Triangles; Trigonometric Functions, Inverses and Identities; the Law of Cosines and the Law of Sines; Vectors as well as Graphs using Polar Coordinates and Complex Numbers.
Attendance: State law requires that we keep attendance records. It will be your responsibility to sign in at the beginning of each class. It is to your benefit academically to attend all class lectures. If you have unexcused absences or leave early, I will assume that you know the material well enough so that partial credit is not needed. I will reward perfect attendance and punctuality with a borderline-bump at final grade time if you are within 1 % of a higher grade. If you miss 4 consecutive classes, or a total of 6 classes this semester, you may be dropped from the class.
Homework: You will be doing your homework online using MyMathLab. In MyMathLab you have access to the multimedia textbook, worked examples, guided examples, and videos. You will find due dates for each assignment listed in MyMathLab. Assignments completed with at least 80% correct by the due date will receive full credit (1.5 points per section). To access your MyMathLab account see instructions in Canvas or go to http://www.pearson.com/mylab. Select: ”Student”, enter course number: guerra80862, use your existing Pearson, or create a new account, enter your password.
Quizzes: There will be 11 (10 to 15 minute) quizzes given on Thursdays (see the Syllabus) , each worth 10 points. The lowest score will be dropped. These will consist of questions regarding the most recent topics. They are a measure for both of us on how well you are grasping the material.
Exams: There will be 3 exams given on the dates indicated on the Syllabus and a comprehensive Final exam. Each exam counts 100 points and the final exam counts 150 points. Make-up exams will be considered on a case-by-case basis.
Extra Credit: On a few occasions extra credit work will be assigned. These activities are voluntary and will not negatively affect your final grade; but will most likely improve it.
Calculators: You will need a calculator for this course that includes Trigonometric functions like a simple TI-30, TI-36 Pro (more advanced graphing calculator like TI-83, TI-84 are not needed). Calculators may be used on exams and will be necessary to solve certain problems.
Grading:
Homework = 50 points
Quizzes = 100 points
Exams = 300 points
Final Exam = 150 points
Total Points 600 points
Grading scale is the standard 90/80/70/60% or 540/480/420/360 points.
Help: If you need help, get it right away! Don't wait until it is too late! The professor is available by appointment. The Math Center provides a free service to you through student tutors who can answer your math questions. In addition, the Learning Center provides you with a tutor who will work with you one hour per week at no charge.
Academic Honesty Policy: Students at Santa Ana College are expected to be honest and forthright in their academic endeavors. To falsify the results of one’s research, to steal the words or ideas of another, or to cheat on an examination, corrupts the essential process by which knowledge is advanced. Academic dishonesty is seen as an intentional act of fraud, in which a student seeks to claim credit for the work or efforts of another without authorization, or uses unauthorized materials or fabricated information in any academic exercise. As institutions, we also consider academic dishonesty to include forgery of academic documents, intentionally impeding or damaging the academic work of others, assisting other students in acts of dishonesty or coercing students into acts of dishonesty.
Procedures – In cases where a violation of academic honesty is discovered, the faculty member is encouraged to file an “Academic Misconduct Incident Report” form and distribute the form to the appropriate offices listed.
There are two categories of sanctions: Limited and College-wide. Limited sanctions include an academic action such as assigning a lower grade or a grade of “F” for the assignment, project, or test. College-wide sanctions include any sanction that will affect a student’s standing with the college-at-large, up to and including suspension or expulsion from the College.
In matters relating to academic honesty violations, the primary responsibility for disciplinary proceedings rests with the instructor and the academic division where the violation allegedly occurred. The Dean of Student Affairs will assist in all College-wide sanctions.
Academic Accommodations Statement: A student with a disability, who would like to request an academic accommodation, is responsible for identifying herself/himself to the instructor and to the Disabled Student Programs and Services (DSPS) in a timely manner. To make arrangements for academic accommodations, contact the Learning Disabilities Office in The Village, VL-203, or phone (714) 564-6264, or visit http://sac.edu/StudentServices/DSPS
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Feb 11 M |
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Introduction to the Course |
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P.1* |
The Cartesian Coordinate System |
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P.2* |
Functions |
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W |
P.3* |
Families of Functions |
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W |
P.4* |
Compositions and Inverses |
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Feb 18 M |
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Holiday |
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W |
1.1 |
Angles and Degree Measure |
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W |
1.2 |
Radian Measure, Arc Length, and Area |
Quiz 1 (P.1 – P.4) |
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Drop = W |
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Feb 25 M |
1.3 |
Angular and Linear Velocity |
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M |
1.4 |
The Trigonometric Functions |
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W |
1.5 |
Right Triangle Trigonometry |
Quiz 2 (1.1 – 1.3) |
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W |
1.6 |
The Fundamental Identity and Reference Angles |
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Mar 4 M |
2.1 |
The Unit Circle and Graphing |
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M |
2.2 |
The General Sine Wave |
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W |
2.3 |
Graphs of Secant and Cosecant Functions |
Quiz 3 (1.4 – 1.6) |
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Mar 11 M |
2.4 |
Graphs of the Tangent and Cotangent Functions |
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W |
2.5 |
Combining Functions |
Quiz 4 (2.1 – 2.3) |
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W |
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Review Ch 2 |
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Mar 18 M |
3.1 |
Basic Identities |
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W |
3.2 |
Verifying Identities |
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W |
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Chapters 1, and 2 |
Exam 1 |
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Mar 25 M |
3.3 |
Sum and Difference Identities for Cosine |
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W |
3.4 |
Sum and Difference Identities for Sine and Tangent |
Quiz 5 (3.1 – 3.2) |
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Apr 1 M |
3.5 |
Double Angle and Half Angle Identities |
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M |
3.6 |
Product and Sum Identities |
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W |
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Review Ch 3 |
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4.1 |
The Inverse Trigonometric Functions |
Quiz 6 (3.3 – 3.4) |
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Apr 8 M |
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Spring Break |
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W |
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Spring Break |
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Apr 15 M |
4.2 |
Basic Sine, Cosine, and Tangent Equations |
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W |
4.3 |
Equations Involving Compositions |
Quiz 7 (3.5 – 4.1) |
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Apr 22 M |
4.4 |
Trigonometric Equations of Quadratic Type |
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W |
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Review Ch 4 |
Quiz 8 (4.2 – 4.3) |
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W |
5.1 |
The Law of Sines |
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Apr 29 M |
5.2 |
The Law of Cosines |
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W |
5.3 |
Area of a Triangle |
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W |
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Chapter 3, and 4 |
Exam 2 |
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May 6 M |
5.4 |
Vectors |
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W |
5.5 |
Application of Vectors |
Quiz 9 (5.2 – 5.3) |
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W |
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Review Ch 5 |
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No more W |
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May 13 M |
6.1 |
Complex Numbers |
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W |
6.2 |
Trigonometric Form of Complex Numbers |
Quiz 10 (5.4 – 5.5) |
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May 20 M |
6.3 |
Powers and Roots of Complex Numbers |
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W |
6.4 |
Polar Equations |
Quiz 11 (6.1 – 6.2) |
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May 27 M |
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Review Ch 6 |
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W |
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Review for Finals |
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W |
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Chapter 5, and 6 |
Exam 3 |
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Jun 3 M |
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Review for Finals |
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W |
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Chapter 1 to 6 |
Final Exam |
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* |
Optional -Will be covered if time permits |
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Bold |
Critical for subsequent Course |
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Course Summary:
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