Calculus 1

This course introduces the foundational principles of differential and integral calculus.

Students will examine the derivative as a measure of instantaneous rate of change and the slope of a tangent line, as well as its real-world applications to motion, growth, and economic modeling.

The course also develops a formal understanding of the definite integral as both a summation process and an antiderivative, grounded in the central role of limits.

Learners will build proficiency in interpreting symbolic expressions, recognizing underlying algebraic structures, and applying calculus concepts to complex theoretical and real-world problem sets.

By the end of the course, students will have developed a strong conceptual framework for further study in mathematics, data science, economics, engineering, and other quantitative disciplines.