Mathematics: Calculus I

Introduction to calculus of functions of one variable including: limits, continuity, techniques and applications of differentiation and integration. Credit not given for more than one course in the pair MATH 1212, MATH 1234 unless followed by MATH 1248 or MATH 1242. No credit following receipt of credit for MATH 1248 or above. Prerequisite: C- or better in MATH 1034 or a score of 76 or higher on the placement assessment.

Prereqs enforced by the system: MATH 1034 or ALEKS MPA of at least 76; Open to Degree and PACE students

MATH 1234 (Calculus I) is an introduction to the calculus of functions of one real variable. The course is motivated by two seemingly unrelated problems: the slope of the tangent line (called the derivative) and the area under the curve (called the integral). To solve these problems, we must understand the concepts of limits and continuity. From there, we will define the derivative as a limit, then learn how to find derivatives of many familiar functions, including polynomials, trigonometric functions, hyperbolic functions, and exponential and logarithmic functions. Towards the end of the course, we will return to the area problem. We will first examine integrals geometrically and in the context of limits, then see how the integral and derivative are connected through the fundamental theorem of calculus. We will learn basic integration methods - including integration by substitution - which we shall use to solve problems such as the area between curves and the volume of a solid. Topics will be presented with a level of depth and rigor appropriate for students pursuing degrees in technical fields such as mathematics, statistics, engineering, or the physical sciences.

Students are expected to attend class and complete the assignments on time. Participation in class is encouraged. In the case where a student is struggling, they are urged to seek help from the instructor, either by attending office hours or scheduling an appointment.

Students will be evaluated through homework and in-class quizzes and exams.