Calculus I builds on prerequisite knowledge of functions, their behavior, and their role as mathematical models across multiple contexts. The course fulfills a foundational mathematics requirement for Electrical Engineering, Computer Engineering, and Computer Science majors, and is also mandatory for non-DSSE students pursuing a Mathematics Minor. The course introduces the two central ideas of calculus—differentiation and integration—as tools for analyzing change, growth, and accumulation. Students develop computational and analytical skills to work symbolically, numerically, and visually with these concepts, laying a foundation for more advanced study in mathematics and its applications. Topics include limits, derivatives, optimization, related rates, Riemann sums, the Fundamental Theorem of Calculus, basic integration techniques, and an introduction to sequences and series. Applications highlight the use of calculus in modeling and solving real-world problems. Instruction is delivered through in-person lectures with worked examples, tutorials, and regular problem-solving practice. Active engagement is expected through class participation, unannounced quizzes, and weekly assignments. By the end of the course, students will be equipped to compute and interpret derivatives and integrals, apply these tools to contextual problems, and reason about convergence and divergence in sequences and series.
