Calculus 2

This course builds on foundational calculus concepts, providing students with a deeper understanding of integration techniques, sequences and series, differential equations, and power series representations. Learners will master core methods of integration, interpret limits through sequences, and explore the relationship between partial sums and infinite series. The curriculum emphasizes series convergence tests, error estimates for approximations, and the representation of analytic functions as power series. Students will also examine how functions serve as solutions to first and second-order differential equations and apply these methods to real-world phenomena such as physical systems, population models, and economic processes. By the end of the course, students will have developed a deeper conceptual framework that supports further study in mathematics, data science, engineering, economics, and other quantitative disciplines