Plane Trigonometry Syllabus and Course Structure – MATH 1316

Course Overview

Introduction to Plane Trigonometry

This syllabus outlines the structure, policies, and content for MATH 1316 – Plane Trigonometry at Del Mar College. The course provides an in-depth study of trigonometric concepts, identities, equations, and their applications, preparing students for further studies in mathematics and related fields.

Course Information

• Course Title: Plane Trigonometry (MATH 1316–S10FA)

• Instructor: Dr. B (Bet Shahbaz)

• Meeting Place & Time: ST 206, TR 1:00 – 2:20 PM

• Contact: [e-mail], [phone]

• Office Hours: MTWR 12:30–1:00 PM & 2:30–3:00 PM; Fridays 10:00–11:00 AM; or by appointment

Course Description

This course covers the definitions, properties, and applications of trigonometric functions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics include vectors, polar coordinates, and parametric equations.

Prerequisites

• Satisfactory score on college admission test or completion of Math 0373.

• Math 1314 and 1316 may be taken concurrently.

• Assessment levels: R3, E1, M3.

Required Materials

• Textbook: Trigonometry, 12th Edition by Lial/Hornsby/Schneider/Daniels.

• Calculator: Nonprogrammable (non-graphing) calculator required for exams and classwork.

• Exam Blue Books: Four 8-leaf blank blue books (three for regular exams, one for the final exam).

Instructional Method

• Step-by-step, detailed instruction to maximize student learning and engagement.

• Emphasis on overcoming math anxiety and fostering enjoyment of mathematics.

Evaluation and Grading

• Three Exams: 65%

• Comprehensive Final Exam: 30%

• MyMathLab Assignments: 5%

Grading Scale:

• 90%–100% = A

• 80%–89% = B

• 70%–79% = C

• 60%–69% = D

• Below 60% = F

Class Policies

• Make-Up Exams: Not permitted; all exams must be taken as scheduled.

• Attendance: Mandatory; more than two absences may result in being dropped from the course.

• Class Participation: Active participation and group work are encouraged.

• Academic Honesty: Cheating or plagiarism results in a zero on the test and possible removal from the course.

• Disability Accommodations: Contact the Office of Special Services for support.

Course Topics and Suggested Homework

The following table outlines the main topics covered in the course, corresponding textbook sections, and suggested homework exercises.

Section	Topic	Suggested Homework
1.1	Angles (Optional)	1-99 odd, 123-127 odd
1.2	Angle Relationships and Similar Triangles (Optional)	1-69 odd
1.3	Trigonometric Functions	1-49 odd, 63-83 odd, 85-97 odd
1.4	Using the Definitions of the Trigonometric Functions	1-69 odd, 73-83 odd, 85-88 all, 105-108 all
2.1	Trigonometric Functions of Acute Angles	1-10 all, 11-39 odd, 49-63 odd, 73-78 all
2.2	Trigonometric Functions of Non-acute Angles	5-10 all, 11-81 odd, 87, 88
2.3	Finding Trigonometric Function Values Using a Calculator	1-10 all, 11-39 odd, 45-55 odd, 63, 65, 67
2.4	Solving Right Triangles	13-21 all, 23-45 odd, 46, 47, 48, 51, 53, 54, 59
2.5	Further Applications of Right Triangles	1-18 all, 19-25 all, 31, 32, 35, 36, 40
3.1	Radian Measure	1-10 all, 11-25 odd, 29-55 odd, 65-87 odd, 91-95 all
3.2	Applications of Radian Measure	1-37 odd, 47-61 odd, 62, 71, 72
3.3	The Unit Circle and Circular Functions	1-71 odd
3.4	Linear and Angular	1-6 all, 11-45 odd, 46-49 all
4.1	Graphs of the Sine and Cosine Functions	1-12 all, 13-47 odd, 48
4.2	Translations of the Graphs of the Sine and Cosine Functions	29-59 odd
4.3	Graphs of the Tangent and Cotangent Functions	13-37 odd, 51, 52
4.4	Graphs of the Secant and Cosecant Functions	11-23 odd, 31, 32, 35, 37, 38
5.1	Fundamental Identities	1-23 odd, 31-37 odd, 39-45 all, 47-77 odd
5.2	Verifying Trigonometric Identities	11-87 odd
5.3	Sum and Difference Identities for Cosine	1-8 all, 9-17 odd, 19-65 odd, 67-74 all
5.4	Sum and Difference Identities for Sine and Tangent	1-8 all, 9-47 odd, 44, 45-55 odd, 61-69 odd
5.5	Double-Angle Identities	1-6 all, 17-51 odd
5.6	Half-Angle Identities	1-10 all, 11, 13, 15, 19-29 odd, 33-51 odd
6.1	Inverse Circular Functions	13-67 odd, 75-103 odd
6.2	Trigonometric Equations I	1-11 odd, 15-59 odd
6.3	Trigonometric Equations II	17-49 odd
6.4	Equations Involving Inverse Trigonometric Functions	1-43 odd
7.1	Oblique Triangles and the Law of Sines	7-10 all, 11-35 odd, 36, 37, 38, 40
7.2	The Ambiguous Case of the Law of Sines	1, 2, 3-35 odd, 36
7.3	The Law of Cosines	1-41 odd, 44, 46, 51, 52, 55, 58
7.4	Geometrically Defined Vectors and Applications	1-4 all, 5-15 odd, 23-29 odd, 37, 38, 39, 45-48 all
7.5	Algebraically Defined Vectors and the Dot Product	9-12 all, 19, 21, 23, 31, 33, 43-49 odd, 53-56 all, 63-66 all

Learning Outcomes

• Compute values of trigonometric functions for key angles in all quadrants (degrees and radians).

• Graph trigonometric functions and their transformations.

• Prove trigonometric identities.

• Solve trigonometric equations.

• Solve right and oblique triangles.

• Apply trigonometric concepts to real-world problems.

Support and Tutoring

• Math Learning Center (MLC): Free 1-on-1 tutoring, both face-to-face and online, at multiple campus locations. See www.delmar.edu/mlc for hours and details.

• Peer-Tutoring Center: Drop-in tutoring for math and other subjects. Calculator and computer access available.

Additional Policies

• Strict attendance and participation requirements.

• Withdrawal procedures must be followed to avoid receiving a failing grade.

• Students are responsible for keeping up with assignments and communicating with the instructor as needed.

Additional info: This syllabus provides a comprehensive overview of the course structure, expectations, and resources for success in college-level trigonometry. For detailed content on each topic, refer to the textbook and assigned exercises.