Course Syllabus

Course: MATH 1060

Division: Natural Science and Math
Department: Mathematics
Title: Trigonometry

Semester Approved: Spring 2018
Five-Year Review Semester: Spring 2023
End Semester: Spring 2024

Catalog Description: This course will cover trigonometric functions, definitions, radian measure, graphs, solving trigonometric equations, vectors, Law of Sines, Law of Cosines,complex numbers, polar coordinates. Graphing calculator required.

General Education Requirements: Quantitative Literacy (MA)
Semesters Offered: Fall, Spring
Credit/Time Requirement: Credit: 3; Lecture: 3; Lab: 0

Prerequisites: A grade of C or better in Math 1010, ACT math score 23 or higher or appropriate placement test score. Prerequisite score or class must have been completed within the last two years or student must (re-) take placement test.

Justification: A strong foundation in trigonometry is vital for students' future success in calculus and other science related majors. Math 1060 (as numbered) exists at all other state institutions and covers the same content.

General Education Outcomes:
1: A student who completes the GE curriculum will have a fundamental knowledge of human cultures and the natural world, with particular emphasis on American institutions, the social and behavioral sciences, the physical and life sciences, the humanities, the fine arts and personal wellness.  Trigonometry is one of the most applicable maths in the world. Created/invented in the western world by the Greeks to explain and understand their planet and solar system, the opportunity students have to make connections between this field of math and its usability with their world on large and small scales is staggering. Students will demonstrate their conceptions of trigonometry and their world through papers, discussion, homework and exams.

2: A student who completes the GE curriculum can read, retrieve, evaluate, interpret, and deliver information using a variety of traditional and electronic media. Students will be able to present their ideas and knowledge of trigonometry through graphs and proofs in papers, homework and exams.

4: A student who completes the GE curriculum can reason quantitatively in a variety of contexts. Students studying trigonometry will use aspects of arithmetic, algebra, geometry, number theory and calculus to completely understand the subject and be able to use it effectively in the course and in their future studies. They will demonstrate competency through discussion, homework and exams.

6: A student who completes the GE curriculum can reason analytically, critically, and creatively about nature, culture, facts, values, ethics, and civic policy. Homework exercises and exam problems require computational skills in a variety of theoretical and applied situations. Trigonometry lends itself to a vast array of worldwide experiences as students study the field and see and explore its applications all over the world. Students will demonstrate competency using homework, discussion, and exams.

General Education Knowledge Area Outcomes:
1: Students will be able to use the six basic trigonometric functions appropriately, including graphing. Students will be assessed using homework, quizzes, projects, and/or exams. Students will be able to use the six basic trigonometric functions appropriately, including graphing. Students will be assessed using homework, quizzes, projects, and/or exams.

2: Convert relevant information into various mathematical forms (e.g., equations, graphs, diagrams, and tables). Students will know basic trigonometric identities and use them to verify other trigonometric identities. Students will be assessed using homework, quizzes, projects, and/or exams.

3: Demonstrate the ability to successfully complete basic calculations to solve problems. Students will be able to complete calculations with angles in both degree and radian measure, including standard trigonometric angles. Student will also be able to solve trigonometric equations including multiple angle equations. Students will be assessed using homework, quizzes, projects, and/or exams.

4: Make judgments and draw appropriate conclusions based on quantitative analysis of data, recognizing the limits of this analysis. Students will be able to apply trigonometry to situations requiring the Law of Sines, Law of Cosines, and/or vectors. Students will be assessed using homework, quizzes, projects, and/or exams.

6: Express quantitative evidence in support of the argument or purpose of the work (in terms of what evidence is used and how it is formatted, presented, and contextualized). Students will use trigonometric tables, graphs and equations to demonstrate solutions and reasoning to trigonometric applications. Students will be assessed using homework, quizzes, projects, and/or exams.


Student Learning Outcomes:
Upon successful completion of this course, students will be able to graph and work with polar equations and parametric equations. Students will be assessed using homework, quizzes, projects and/or exams.


Content:
This course includes: *Prerequisites for trigonometry: distance formula, functions, and inverse functions. *Trigonometric functions: definitions using a unit circle, definitions using triangles, right angle applications, graphs of the trigonometric functions, and inverse trigonometric functions *Trigonometric identities and equations: fundamental identities, sum and difference identities, half angle and multiple angle identities, and trigonometric equations *Applications: law of sines and cosines, vectors, and complex numbers

Key Performance Indicators:
Attendance/Participation 0 to 15%

Group Work 0 to 15%

Presentations/Projects 0 to 20%

Quizzes 0 to 20%

Homework 5 to 25%

Midterm Exams 20 to 70%

Final Exam 15 to 35%


Representative Text and/or Supplies:
A representative text could be Coburn, Trigonometry (current edition or edition specified by instructor)


Pedagogy Statement:
This course may be taught using class lectures, discussions, group or individual projects/presentations, and in-class activities. A technology component may also be included.

Instructional Mediums:
Lecture

IVC

Online

Hybrid

Maximum Class Size: 36
Optimum Class Size: 25