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

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