Course Objectives

By the end of this course, students will be able to:

Understand and apply the concept of limits to determine the behavior of functions.
Calculate derivatives of functions and use them to solve problems involving rates of change and optimization.
Use the concepts of continuity and differentiability to analyze functions.
Apply techniques of differentiation, including the chain rule, product rule, and quotient rule.
Utilize derivatives to analyze the graphs of functions and solve related problems.
Understand and apply the concept of integration to calculate areas, volumes, and solve problems involving accumulation.
Apply techniques of integration, including substitution and integration by parts.
Understand the relationship between the derivative and the integral through the Fundamental Theorem of Calculus.
Interpret and analyze functions using calculus concepts in real-world contexts.

Calculus I