Course Summary
This course introduces mathematical modeling concepts and precalculus topics necessary for solving real-world problems. It covers functions, graphs, algebraic equations, and trigonometry with practical applications.Key Learning Points
- Learn how to apply precalculus concepts to real-world problems
- Understand the basics of mathematical modeling
- Explore the use of functions, graphs, algebraic equations, and trigonometry in real-life scenarios
Related Topics for further study
Learning Outcomes
- Ability to apply precalculus concepts to solve real-world problems
- Understanding of mathematical modeling principles
- Proficiency in using functions, graphs, algebraic equations, and trigonometry in practical scenarios
Prerequisites or good to have knowledge before taking this course
- Basic knowledge of algebra and geometry
- Familiarity with trigonometric functions
Course Difficulty Level
IntermediateCourse Format
- Online self-paced course
- Video lectures
- Interactive quizzes and assignments
Similar Courses
- Applied Mathematics
- Mathematical Thinking in Computer Science
- Data Science Math Skills
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: Linear Modeling
- Introduction to Mathematical Modeling
- Linear Modeling
- Scatterplots in Excel and Desmos
- Sample Problems: Linear Modeling
- Linear Modeling
- Module 2: Exponential Modeling
- Examples of Exponential Modeling
- Modeling with Data: Population Growth
- Sample Problems: Exponential Modeling
- Exponential Modeling
- Modeling with Other Functions
- Modeling with Power Functions
- Modeling with Cyclic Data
- Sample Problems: Modeling with Other Functions
- Modeling with Other Functions
- Module 4: Dimensional Analysis
- Dimensional Analysis
- Dimensional Analysis Example - Trinity Test
- Rules for Dimensional Arithmetic
- Sample Problems: Dimensional Analysis
- Dimensional Analysis
- Modules 1-4 Test - Mathematical Modeling
Summary of User Reviews
Read reviews for the Precalculus: Mathematical Modelling course on Coursera. Students found the course to be valuable and engaging, with a focus on real-world applications of math concepts. One key aspect that many users thought was good is the course's clear and concise explanations of complex topics.Pros from User Reviews
- Real-world applications of math concepts
- Engaging and valuable course content
- Clear and concise explanations of complex topics
- Helpful and responsive instructors
- Great preparation for further math studies
Cons from User Reviews
- Some users found the course to be too fast-paced
- Difficult to navigate course materials
- Some topics were not covered in enough depth
- Limited interaction with other students
- Some technical issues with videos and quizzes
Joseph W. Cutrone, PhDTop Instructor
4.5 Raiting
Precalculus: Mathematical Modeling
- 4.5
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This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us....
Calculus through Data & Modeling: Precalculus Review
- 4.9
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This course is an applications-oriented, investigative approach to the study of the mathematical topics needed for further coursework in single and multivariable calculus....
