MATH 127
Elementary Calculus I, part 1

This is a first course in calculus and is aimed at students of diverse backgrounds who have previously not taken any formal course on the subject. The course includes a brief review of pre-calculus topics, including functions and algebra, and then moves on to computations using infinity and beyond: infinitesimal quantities, differentials, infinite sequences, and whether it is possible to divide by zero. Scientific applications and achievements will motivate the exploration of the essential single-variable calculus concepts of limits, derivatives, and integrals.

This is the first part of a two-part course. Registration is required separately for each part of the course.


A pre-calculus course (including online) is recommended, but not required. Knowledge of trigonometry, basic algebra, and graphing is required.

Learning Objectives:

  • Understand the concept of functions, their limits, and continuity
  • Become familiar with differentiation and integration techniques of single-variable functions
  • Introduce applications of calculus to scientific research


Sample Syllabus


Class Type

Graduate Course