Title: Calculus I

Description: The differential calculus and integral calculus, emphasizing conceptual understanding, computations and applications, for students who have the necessary background from 12th-year high school mathematics. Differentiation of elementary algebraic; trigonometric, exponential, and logarithmic functions; graphing; modelling and maximization; the Riemann integral; and the fundamental theorem. May not be taken for credit in addition to MAT 125 or 141 or AMS 151. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

Prerequisite: B or higher in MAT 123 or level 5 on the mathematics placement examination

DEC: C

SBC: QPS

Credits: 4

Textbook:

Single Variable Calculus Concepts and Contexts (Stony Brook Edition 4) by James Stewart

Note: Subject to change - do not buy before confirming with the course instructor

Major Topics Covered:

Precalculus Review

Limits of Functions

Continuous Functions and Intermediate Value Theorem

Derivatives, Tangent Lines, and Rates of Change

Rules for Computing Derivatives

Derivatives of Exponential, Logarithmic, Trigonometric, and Inverse Trigonometric Functions

Maximum and Minimum Value and Optimization Problems

L'Hospital's Rule

Antiderivatives

The Definite Integral

Fundamental Theorem of Calculus

Undergraduate Bulletin Course Information

Course Webpages:

For Instructors: