Course Review: Algebra: Elementary to Advanced – Functions & Applications by Johns Hopkins University (Coursera)
Learn how functions work and how to use them in real life. Study graphs, linear and quadratic models, and build strong problem-solving skills.
Instructor: Joseph W. Cutrone, PhD
Course Overview
This course teaches how functions work and how to use them in real life. It is part of the Algebra: Elementary to Advanced series by Johns Hopkins University. The content is clear, structured, and easy to follow. It suits learners who want strong math basics. You start by learning what a function is and why it matters. The course covers linear and quadratic functions in detail. You study graphs, formulas, domains, and ranges. Each idea is shown with simple examples. Next, the course shows how to build new functions. You learn graph shifts, combinations, and function composition. Common and less common functions are explained. These tools help you see patterns and solve problems faster. The final part focuses on modeling real situations. You apply functions to practical problems from daily life. Short videos, readings, and assignments support learning. By the end, you gain confidence, clear intuition, and better problem-solving skills.
Duration: 5 hours
Modules: 3
Tutor: Joseph W. Cutrone, PhD
Pros & Cons
👍Pros
- ✅ Clear, step-by-step explanations make complex concepts easy to understand.
- ✅ Covers both basic and advanced functions, helping build strong problem-solving skills.
- ✅ Includes practical examples and assignments to apply learning in real-world scenarios.
👎Cons
- ❌ Very short duration may not be enough for deep practice or mastery.
- ❌ Limited to functions; does not cover other algebra topics in depth.
- ❌ Not ideal for learners seeking interactive exercises or video demonstrations beyond short clips.
🧑🎓 Who is This Course Best For?
This course is ideal for anyone who wants to understand how functions work and how to apply them in real-world situations. It is beginner-friendly and offers practical tools for improving problem-solving skills. Learners will gain confidence in handling both simple and complex functions through clear examples and exercises.
- High school and college students: Strengthen your math foundation and gain confidence in algebra. This course helps with homework, exams, and understanding advanced concepts.
- Working professionals: Improve analytical and problem-solving skills. Useful for careers in engineering, data analysis, or finance where functions are applied daily.
- STEM enthusiasts: Explore practical applications of linear and quadratic functions. Learn how to model real-world problems and interpret data effectively.
- Future engineers and scientists: Build a strong base in mathematical modeling. Understanding functions early helps in physics, chemistry, and other technical fields.
- Educators and tutors: Gain new ways to explain functions clearly. Use real examples and exercises to teach students effectively.
- Self-learners: Learn at your own pace with short videos and practical exercises. Perfect for anyone seeking flexible learning with immediate application.
- Career switchers: Acquire foundational math skills quickly. Prepare for new roles in analytics, technology, or business without prior experience.
- Math hobbyists: Explore functions for fun or personal growth. Understand patterns, graphs, and real-life applications in a structured way.
📘 What You’ll Learn
In this course, students will gain a strong understanding of functions and how they are applied in real life. You will learn to identify, analyze, and graph different types of functions, from simple linear equations to more complex quadratic and uncommon functions. The course also teaches how to combine and transform functions to solve practical problems. By the end, learners will develop clear intuition for algebra, improve problem-solving skills, and gain confidence in modeling real-world situations using mathematical tools.
- Understand the concept of a function and its real-world applications
- Analyze linear and quadratic functions, including graphs, domains, and ranges
- Learn to construct new functions using arithmetic operations and function composition
- Develop skills in graph transformations and visualizing function behavior
- Apply functions to model practical problems across different disciplines
- Interpret formulas, intercepts, and trends in data using algebraic and analytic methods
- Strengthen problem-solving and critical thinking skills through practical exercises
- Gain confidence in recognizing patterns and building mathematical intuition
❓FAQs
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