# MAT 131

**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:**

- James Stewart, Single Variable Calculus (Stony Brook Edition 4).

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: **