This series will take a more formal approach to single-variable Calculus, with the goal of building both intuition and mathematical formality. We will follow an outline of Spivak's Calculus, however, purchase of the book is neither required nor recommended (very expensive😔). This series covers a lot more than AP Calculus BC and is most suitable as preparation for real analysis. It benefits mainly those who wish to develop a deep interest in math. If you want to understand "why" something is the way it is, this series will do so. It assumes no prior knowledge of Calculus. Of course, those with prior knowledge are welcome to join, especially those with a greater prior focus on computation and not theory. Extra Work: All extra work is not mandatory in that the class has no "grade". However, learning material without doing practice problems is not possible. As a result, I will grade all extra work, and discuss it either 1-1 or during office hours (this choice is left up to the learner). Please note that these problems are not meant to be easy, and require a substantial amount of time to complete. All partial submissions will be accepted. In the case of plagiarism, the learner will be removed from the course without warning. As a convention, homework must be typed up in LaTeX (use overleaf). If you have difficulty learning/using latex, consider Typst. Office Hours: The times are to be decided. I will be available for any questions about the material, help with the practice problems, or general discussions about the material. If asked, I can provide some additional problems. Rough outline of the series: - Foundations - Derivatives - Integrals - Infinite Sequences - Infinite Series The rest are purely optional: - Super basic introduction to groups and fields - Dedkind construction of the real numbers