The Course
Dive into the world of mathematics where functions, derivatives, and integrals aren't just symbols on a page—they're the keys to solving real-world problems. In this course, we crack open the essential concepts of calculus, but we won’t get bogged down in the nitty-gritty of rigorous proofs. Instead, we zoom out to grasp the big picture: how calculus is the language of change and motion that can describe the universe’s most fundamental laws.
Get ready to see how calculus touches everything around us—from the engineering marvel of a suspension bridge to the plummeting stock markets, and the dynamic ecosystem of a coral reef to the gradual fade of a dying star. By the end of our journey, you'll not only have learned the basics of calculus, but you’ll also appreciate its astonishing power to reveal the workings of our world. And who knows? You might just find yourself applying calculus principles to optimize your daily life, like figuring out the fastest route to your favorite coffee shop!
What you will learn
When I started crafting this course, I envisioned a bridge for beginners to not only grasp the core concepts of calculus but to also see its relevance in real-world applications. The effort paid off—I carefully structured our syllabus to unfold in a logical, intuitive manner, balancing theoretical understanding with practical exercises. Trust me, every module has been streamlined to ensure you build a solid foundation, without feeling overwhelmed. This course is stocked with clear examples, engaging problem sets, and supportive feedback systems. It's the kind of structured yet flexible learning environment that helps you confidently tackle calculus concepts at your own pace, with the added bonus of seeing how these principles come to life in various fields. Whether you're aiming for better grades or practical skills, this organized approach will serve as a robust springboard for your studies and future career.
Curriculum
Your instructor
With over a decade of experience in the realm of mathematics education, Cynthia Kemper stands as an adept curator of mathematical comprehension, fostering a deep understanding of calculus among her students. Holding a Master's degree in Mathematics with a specialization in educational techniques, her journey has been marked by a commitment to making complex concepts accessible and engaging. Her classroom is a dynamic environment where theory meets practice, and where each lesson is an opportunity to discover the beauty of mathematical logic and its applications.
Survey of Calculus is not just a course in Cynthia's schedule; it's a passion project that reflects her enthusiasm for the subject. She approaches calculus not merely as a set of problems to be solved, but as a language that describes the natural world, emphasizing its relevance across disciplines and in everyday life. Cynthia's pedagogy is rooted in the belief that every student can grasp and appreciate the utility of calculus, and she dedicates herself to proving that, lesson by lesson, with patience, creativity, and unwavering dedication to her students' success.
Comprehensive
A Deep Dive into Calculus Concepts
Intuitive
Understanding Calculus with Real-World Applications
Practical
Applying Calculus to Solve Everyday Problems