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MAT 103 Trigonometry Syllabus and Course Structure Study Guide

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Course Overview

Introduction to Plane Trigonometry

This course, MAT 103 – Plane Trigonometry, provides a one-semester introduction to the study of triangles and periodic functions. The curriculum covers the fundamentals of trigonometric functions, their applications, graphs, identities, and solving equations involving these functions. The course is designed for students who have completed MAT 101 or have a qualifying mathematics ACT score.

  • Prerequisite: MAT 101 (grade C or better) or ACT score ≥ 24

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

  • Calculator: ACT-approved scientific calculator (e.g., TI-30XS Multiview)

  • Online Access: Pearson MyLab&Mastering (MLM) required

Course Structure and Assessment

Instructional Format

The course is delivered through lectures, discussions, and problem-solving sessions. Assessments include in-class tests, quizzes, online homework, and a comprehensive final exam. Students are expected to utilize resources such as guided notes, Pearson videos, and the Mathematics Tutoring Center.

  • In-class assessments: Tests and quizzes

  • Online assignments: MLM Homework and Quizzes

  • Final Exam: Comprehensive, covering all major chapters

Grading Policy

Grades are determined by weighted averages of tests, homework, quizzes, and the final exam. The grading scale follows a standard 10-point system.

Assessment

Weight (%)

Homework

15

Quiz

15

Tests (Test 1: Ch. 1-3, Test 2: Ch. 4-5)

50

Comprehensive Final Exam (Ch. 1-7)

20

Grading Scale:

Letter Grade

Score Range

A

90 – 100

B

80 – 89.99

C

70 – 79.99

D

60 – 69.99

F

0 – 59.99

Sample Grade Calculation:

  • Tests average: 71 × 0.50 = 35.5

  • Homework average: 90 × 0.15 = 13.5

  • Quizzes average: 85 × 0.15 = 12.75

  • Final Exam average: 75 × 0.20 = 15

  • Total: 35.5 + 13.5 + 12.75 + 15 = 76.75 (C)

Course Topics and Chapter Outline

Chapter Structure

The course covers the following chapters and topics, aligning with standard college trigonometry curricula:

Section

Topic

1.1

Angles

1.2

Angle Relationships and Similar Triangles

1.3

Trigonometric Functions

1.4

Using the Definitions of the Trigonometric Functions

2.1

Trigonometric Functions of Acute Angles

2.2

Trigonometric Functions of Non-Acute Angles

2.3

Approximations of Trigonometric Function Values

2.4

Solutions and Applications of Right Triangles

3.1

Radian Measure

3.2

Applications of Radian Measure

3.3

Unit Circle and Circular Functions

3.4

Linear and Angular Speed

4.1

Graphs of Sine and Cosine Functions

4.2

Translations of the Graphs of Sine and Cosine

4.3

Graphs of the Tangent and Cotangent Functions

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

6.1

Inverse Circular Functions

6.2

Trigonometric Functions I

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

Key Topics:

  • Angles and their measurement (degrees and radians)

  • Trigonometric functions and their properties

  • Right and oblique triangle solutions

  • Unit circle and radian measure

  • Graphs of trigonometric functions

  • Trigonometric identities and equations

  • Inverse trigonometric functions

  • Applications in vectors and triangle solutions

Academic Integrity and Policies

Academic Integrity Statement

Students are expected to uphold academic integrity, avoiding cheating, plagiarism, lying, unauthorized distribution of information, fabrication, stealing, multiple submissions, conspiracy, and unauthorized use of artificial intelligence. Violations may result in severe academic penalties, including course failure and transcript notation.

Artificial Intelligence Policy

Generative AI tools may be used only in specific assignments as permitted by the instructor. Unauthorized use constitutes academic misconduct.

Student Support and Accessibility

Accessibility Services

Student Accessibility Services (SAS) provides accommodations for students with disabilities. Contact SAS for support regarding classroom or housing accommodations.

Student Support Resources

Students have access to academic, financial, technical, and mental health resources through the university's support services.

Career Services

Career Services assists students in finding career paths, internships, and job opportunities. Students are encouraged to attend expos and utilize online resources.

Course Logistics

Communication and Electronics Policy

  • Contact the instructor via email or Canvas for questions and support.

  • Calculators are required for assessments; cell phones are not permitted during testing.

Course Workload Expectation

Students should expect to spend 2-3 hours outside of class for each hour in class, totaling approximately 10 hours per week for a three-credit course.

Summary of Trigonometry Course Content

  • Angles and Measurement: Understanding degrees, radians, and conversions.

  • Trigonometric Functions: Definitions, properties, and applications.

  • Triangle Solutions: Solving right and oblique triangles using trigonometric laws.

  • Unit Circle: Fundamental for understanding trigonometric functions.

  • Graphs: Sine, cosine, tangent, and their transformations.

  • Identities: Fundamental, sum/difference, double-angle, and half-angle identities.

  • Inverse Functions: Solving equations and applications.

  • Applications: Real-world problems involving triangles, vectors, and periodic phenomena.

Additional info: This syllabus provides a comprehensive outline of the topics and structure for a college-level trigonometry course, aligning with standard chapter titles and content areas. Students should refer to the weekly schedule for detailed coverage and due dates.

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