Course Summary
This course introduces students to the fundamental concepts of precalculus. Students will learn about relations and functions, and study their properties, graphs, and applications.Key Learning Points
- Gain a solid understanding of the fundamental concepts of precalculus
- Learn about relations and functions and their properties
- Study the graphs and applications of relations and functions
Related Topics for further study
Learning Outcomes
- Understand the fundamental concepts of precalculus
- Become proficient in working with relations and functions
- Apply knowledge of precalculus to real-world problems
Prerequisites or good to have knowledge before taking this course
- High school algebra
- Basic knowledge of geometry
Course Difficulty Level
IntermediateCourse Format
- Online
- Self-paced
- Video lectures
Similar Courses
- Calculus 1: Differentiation
- Linear Algebra
Related Education Paths
Notable People in This Field
- Salman Khan
- Vi Hart
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: Basics and Common Functions
- Function Basics
- Graphing Websites
- Common Functions
- Sample Problems: Function Basics
- Sample Problems: Common Functions
- Function Basics
- Common Functions
- Module 2: Equations of Lines, Quadratics, and More Functions
- Equations of Lines
- Quadratic Functions
- Function Composition
- Inverse Functions
- Graphs of Inverse Functions
- Sample Problems: Equations of Lines and Quadratics
- Sample Problems: More Functions
- Linear and Quadratic Equations
- Function Composition and Inverses
- Modules 1 and 2 Test - Functions
- Module 3: Exponential and Logarithmic Functions
- Exponential Functions
- Logarithmic Functions
- The Natural Logarithm
- Sample Problems: Exponential Functions
- Sample Problems: Logarithmic Functions
- Exponential Functions
- Logarithmic Functions
- Module 4: Properties of Logarithms
- Properties of Logarithms
- Sample Problems: Properties of Logarithmic Functions
- Properties of Logarithmic Functions
- Module 3 and 4 Test - Exponential and Logarithmic Functions
Summary of User Reviews
This precalculus course on Coursera has received positive feedback from many users. Students appreciate the course's clear explanations, helpful practice problems, and engaging video lectures. Overall, the course appears to be a great resource for anyone looking to improve their understanding of precalculus concepts.Key Aspect Users Liked About This Course
The course is well-structured and offers clear explanations of complex topics.Pros from User Reviews
- The video lectures are engaging and easy to follow.
- The practice problems are helpful for reinforcing key concepts.
- The course is well-organized and easy to navigate.
- The instructors are knowledgeable and responsive to student questions.
- The course covers a wide range of precalculus topics in-depth.
Cons from User Reviews
- Some students may find the course material challenging or difficult to understand.
- The course may move too quickly for some learners.
- Some students may prefer a more interactive or hands-on learning experience.
- The course does not offer personalized feedback or one-on-one support.
- The course may not be suitable for students who are already familiar with precalculus concepts.
Joseph W. Cutrone, PhDTop Instructor
4.6 Raiting
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