Hill College
112 Lamar Dr.
Hillsboro, Texas 76645
COURSE SYLLABUS
Course Prefix and Number
Course Title
MATH 1316
PLANE TRIGONOMETRY
Prepared by: P. HILLYARD
Date: August 2013
Approved by:
Date:
Dean of Instruction
Approved by:
Date:
Vice President of Instruction
D i s a b i l i t i e s / AD A
In accordance with the requirements of the Americans with Disabilities Act (ADA) and
the regulations published by the United States Department of Justice 28 C.F.R.
35.107(a), Hill College’s designated ADA coordinator, Melanie Betz, Director of
Academic Advising & Student Success, shall be responsible for coordinating the
College’s efforts to comply with and carry out its responsibilities under ADA. Students
with disabilities requiring physical, classroom, or testing accommodations should
contact the Director of Academic Advising & Student Success, at (254)659-7651.
Course Description: Plane Trigonometry MATH 1316
In-depth study and applications of trigonometry including definitions, identities, inverse
functions, solutions of equations, graphing, and solving triangles. Additional topics
such as vectors, polar coordinates and parametric equations may be included.
Lecture Hours
3
Lab Hours
0
Semester Credit Hours
3
Prerequisites:
MATH 1314 or concurrent registration, permission of instructor, or assignment
by appropriate test.
Introduction and Purpose:
This course is meant both as a terminal math course and to prepare students for
more advanced topics in mathematics.
Instructional Materials:
Textbook: Trigonometry, 10th edition, by Margaret Lial, John Hornsby, & David
Schneider
Supplies: Notebook paper, graph paper, ruler, protractor, and
calculator. Objectives/Student Learning Outcomes:
At the completion of this course the student should be able to:
1. Compute the values of trigonometric functions for key angles in all quadrants of the
unit circle measured in both degrees and radians.
2. Graph trigonometric functions and their transformations.
3. Prove trigonometric identities.
4. Solve trigonometric equations.
5. Solve right and oblique triangles.
6. Use the concepts of trigonometry to solve applications.
The students' success in completing these objectives will be measured using a set
of examinations and assignments described, in detail under the section of this
syllabus headed “Method of Evaluation”.
Methods of Instruction:
This course will be taught face-to-face and by various distance learning
delivery methods.
Audio-visual materials and computer-based technology will be used when
appropriate. Students will be shown how to use a calculator where appropriate.
Methods of Evaluation:
Grades in this course will be based on the following evaluative criteria:
Exams will be given during the semester. The average of these exams will make up
60% of the students grades, homework assignments will count 15% of the grade,
and the comprehensive final exam will count 25%.
Letter grades for the course will be based on the following percentages:
90-100%
A
80-89%
B
70-79%
C
60-69%
D
Below 60% F
Class policies:
Regular attendance at all class meetings is expected. Disruptions in class will not be
tolerated.
Topic Outline:
1. Trigonometric Functions
1.1 Angles
1.2 Angle Relationships and Similar Triangles
1.3 Trigonometric Functions
1.4 Using Definitions of Trigonometric Functions
2. Acute Angles and Right Triangles
2.1 Trigonometric Functions of Acute Angles
2.2 Trigonometric Functions of Non-Acute Angles
2.3 Finding Trigonometric Function Values using a Calculator
2.4 Solving Right Triangles
2.5 Further Applications of Right Triangles
3. Radian Measure and Circular Functions
3.1 Radian Measure
3.2 Applications of Radian Measure
3.3 The Unit Circle and Circular Functions
3.4 Linear and Angular Speed
4. Graphs of Circular Functions
4.1 Graphs of the Sine and Cosine Functions
4.2 Translations of the Graphs of the Sine and Cosine Functions
4.3 Graphs of the Tangent and Cotangent Functions
4.4 Graphs of the Secant and Cosecant Function
4.5 Harmonic Motion
5. Trigonometric Identities
5.1 Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Sum and Difference Identities for Cosine
5.4 Sum and Difference Identities for Sine and Tangent
5.5 Double-Angle Identities
5.6 Half-Angle Identities
6. Inverse Circular Functions and Trigonometric Equations
6.1 Inverse Circular Functions
6.2 Trigonometric Equations I
6.3 Trigonometric Equations II
6.4 Equations Involving Inverse Trigonometric Functions
7. Applications of Trigonometry and Vectors
7.1 Oblique Triangles and the Law of Sines
7.2 The Ambiguous Case of the Law of Sines
7.3 The Law of Cosines
7.4 Vectors, Operations, and the Dot Product
7.5 Applications of Vectors
8. Complex Numbers, Polar Equations, and Parametric Equations
8.1 Complex Numbers
8.2 Trigonometric (Polar) Form of Complex Numbers
8.3 The Product and Quotient Theorems
8.4 De Moivre’s Theorem; Powers and Roots of Complex Numbers
8.5 Polar Equations and Graphs
8.6 Parametric Equations, Graphs, and Applications
Bibliography
Trigonometry, 10th edition, by Margaret Lial, John Hornsby, & David Schneider