Dive into the fascinating world of functions, limits, derivatives, and integrals with this course designed to provide you with a solid foundation in the basics of calculus. Whether you're a budding mathematician, an aspiring engineer, or just curious about the mathematical underpinnings of the world around you, this course will help you understand how to analyze change, which is a crucial part of numerous scientific disciplines. From tackling the notion of instantaneous rate of change to exploring the area beneath curves, you're in for a journey that combines abstract theory with practical problems to solve.

Now, you might be wondering, "Okay, but why do I need to know this stuff?" Good question! The principles you'll learn here are not just some abstract concepts; they are the gears driving everything from understanding the physics behind a rocket launch to making sense of the rapidly changing financial markets. In other words, mastering calculus can open doors to virtually any field involving quantitative analysis. Plus, developing this mathematical muscle will sharpen your problem-solving skills across the board, giving you a serious edge in your academic or professional career. So, grab your calculator, and let's start unraveling the mysteries of continuous functions and the language of the universe that has stumped and stunned thinkers for centuries!

With an extensive background in applied mathematics and a deep-seated enthusiasm for analytical problem-solving, I, Cynthia Kemper, have dedicated many years to exploring the fascinating world of calculus. My journey through the field began during my undergraduate studies, where a passion for the interplay between mathematical theory and real-world applications took root. This initial spark led to a rewarding career in teaching, where I have since been privileged to guide countless students through the intricacies and wonders of differential and integral calculus.

As an educator in Calculus 1, I am committed to not only delivering the foundational principles of limits, derivatives, and integrals but also to igniting a similar passion in my students. By drawing on a rich tapestry of pedagogical techniques and real-life examples, I aim to make calculus accessible and engaging, demonstrating its undeniable relevance in various aspects of science, engineering, and beyond. My approach is to foster an environment where curiosity thrives and intellectual challenges are embraced, ensuring that each of my students leaves the course not just with knowledge, but with the confidence to apply it creatively in their future endeavors.