This course covers the fundamental concepts of calculus, beginning with limits and continuity. You'll learn how to understand function behavior at specific points and across intervals, laying the groundwork for everything that follows.
From there, we move into derivatives—one of calculus's most powerful tools. You'll explore how to compute rates of change and understand what derivatives tell us about function behavior. We'll then apply these concepts to solve real-world problems, from optimization to related rates.
Finally, we introduce integration, the complement to differentiation. By the end of the course, you'll have a solid foundation in both major branches of calculus and be ready for more advanced mathematics.
This is a freshman-level course designed to build your mathematical intuition alongside computational skills.