MATH 125 - Basic Calculus

Spring 2024

Course Description & Purpose: Math 125 is designed to introduce and explore the calculus of algebraic, exponential, and logarithmic functions. The objective of the course is to familiarize the student with the basic concepts and techniques of differential and integral calculus and their applications in problem-solving. An intuitive understanding of concepts is stressed over theory and rigorous proofs.

Learning Objectives: After completing this course, students will be able to:

• Evaluate limits.

• Apply derivative rules to algebraic, exponential, and logarithmic functions.

• Apply integration rules to algebraic, exponential, and logarithmic functions.

• Determine the appropriate calculus technique needed to solve real world problems.

• This course is not required for any mathematics degree and therefore does not support the degree-level learning objectives for the Mathematics Department.

Topics Include (but are not limited to):  Rates of change, derivatives and interpretations of the derivative, techniques of differentiation, marginal analysis, optimization, accumulated change and the definite integral, the definite integral as area, antiderivatives, the Fundamental Theorem of Calculus, applications of the integral, and techniques of integration (substitution).(Instructor)