Course Summary
Learn about periodic functions in precalculus and understand how they are used in different applications.Key Learning Points
- Understand the properties of periodic functions and their graphs.
- Learn how to solve equations involving periodic functions.
- Explore real-world applications of periodic functions.
Job Positions & Salaries of people who have taken this course might have
- Math Teacher
- USA: $60,000
- India: ₹4,00,000
- Spain: €30,000
- Data Analyst
- USA: $70,000
- India: ₹6,00,000
- Spain: €35,000
- Research Scientist
- USA: $90,000
- India: ₹10,00,000
- Spain: €40,000
Related Topics for further study
Learning Outcomes
- Understand the concept of periodicity and its properties
- Solve equations involving periodic functions
- Apply periodic functions to real-world problems
Prerequisites or good to have knowledge before taking this course
- Basic knowledge of algebra and trigonometry
- Familiarity with functions and graphs
Course Difficulty Level
IntermediateCourse Format
- Self-paced
- Online
- Video Lectures
Similar Courses
- Calculus: Single Variable
- Calculus: Multivariable
Related Education Paths
Related Books
Description
This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning student to begin their scientific career, preparing them for future science and calculus courses. This course is designed for all students, not just those interested in further mathematics courses. Students interested in the natural sciences, computer sciences, psychology, sociology, or similar will genuinely benefit from this introductory course, applying the skills learned to their discipline to analyze and interpret their subject material. Students will be presented with not only new ideas, but also new applications of an old subject. Real-life data, exercise sets, and regular assessments help to motivate and reinforce the content in this course, leading to learning and mastery.
Knowledge
- Model data with both single and multivariable functions
- Visualize and analyze data using different technologies.
- Understand properties of different types of functions to apply them accordingly to model different situations.
- Perform vector operations, such as addition, scalar multiplication, dot product, and cross product, to analyze geometry in space.
Outline
- Module 1: Periodic Functions
- General Review of Angle Measurement
- Arc Length and Area of a Sector
- Sample Problems: Measuring Angles
- Measuring Angles
- Module 2: Right Triangle Trigonometry
- Right Triangle Trigonometry
- Worked Examples
- Sample Problems: Right Triangle Trigonometry
- Right Triangle Trigonometry
- Module 3: Sine and Cosine as Periodic Functions
- Sine and Cosine Functions
- Worked Examples
- Sample Problems: Sine and Cosine Functions
- Sine and Cosine Functions
- Module 4: The Tangent and Other Periodic Functions
- The Tangent and Other Periodic Functions
- The Tangent and Other Periodic Functions
- Sample Problems: The Tangent and Other Periodic Functions
- The Tangent and Other Periodic Functions
- Module 5: (Some) Identities of Periodic Functions
- (Some) Identities of Periodic Functions
- 3.5 (Some) More Periodic Identities
- Sample Problems: Identities of Trigonometric Functions
- Identities of Trigonometric Functions
- Modules 1-5 Test - Trigonometric Functions
Summary of User Reviews
The course on precalculus periodic functions has received positive reviews from many users. It covers important concepts in precalculus, including periodic functions, with clear explanations and examples. Many users found the course engaging and helpful for their studies.Key Aspect Users Liked About This Course
Clear explanations and examplesPros from User Reviews
- Engaging course material
- Clear and concise explanations
- Useful examples and exercises
- Well-structured course content
- Helpful for improving precalculus skills
Cons from User Reviews
- Some users found the course too basic
- Not enough practice problems for some users
- Course may move too quickly for beginners
- Limited interaction with instructor
- Not enough focus on real-world applications
Joseph W. Cutrone, PhDTop Instructor
4.7 Raiting
Precalculus: Periodic Functions
- 4.7
-
![]()
![]()
![]()
![]()
![]()
This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us....
Introduction to Calculus
- 4.8
-
![]()
![]()
![]()
![]()
![]()
The focus and themes of the Introduction to Calculus course address the most important foundations for applications of mathematics in science, engineering and commerce....
Calculus through Data & Modeling: Precalculus Review
- 4.9
-
![]()
![]()
![]()
![]()
![]()
This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus....
