Calculus is fundamentally a branch of mathematics focused on change and motion. My exploration of its intricacies has revealed that certain problems stand out for their notoriety and complexity. These problems are renowned for their capacity to test the limits of human ingenuity. For instance, the Riemann Hypothesis, one of the most formidable unsolved problems […]

# Category Archives: Calculus

Calculus 3, also known as Vector Calculus or Multivariable Calculus, is an expansion of the concepts from single-variable calculus into multiple dimensions. This course takes the foundational principles of limits, derivatives, and integrals and applies them to functions of more than one variable. It’s where I explore how these concepts work in three-dimensional space and […]

Pre-calculus often marks a significant transition in a student’s math journey, laying the groundwork for more complex subjects like calculus. This course typically encompasses a review of algebra and geometry as well as an introduction to trigonometry and mathematical analysis, serving as a stepping stone between high school math courses and college-level calculus. As I […]

Pre-calculus is an advanced mathematics course bridging the gap between Algebra IbI and Calculus. In this essential stepping stone, I brush up on topics from algebra and geometry, ensuring a solid foundation for the more abstract concepts awaiting calculus. I explore sets and get comfortable with different types of functions, including polynomial, rational, exponential, and […]

To learn calculus, I should familiarize myself with the foundational concepts of mathematics. Strengthening my understanding of algebra, geometry, and trigonometry from high school math is essential. These subjects provide the building blocks for calculus by introducing the behavior of functions, the beauty of shapes, and the rhythms of angles and their measures. As a […]