MATH205C: Calculus I

Category
Credits 4 Lab/Practicum/Clinical Hours 0 Lecture Hours 4
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Includes limits; derivatives of algebraic, trigonometric, exponential and logarithmic functions; antiderivatives; and an introduction to integration. Applications will be stressed throughout the course including velocity, acceleration, curve sketching, optimization, and related rates. A graphing calculator is required.

Prerequisites

Students must pass all prerequisite courses with a grade of C or higher.
Learning Outcomes
  • State, interpret, and apply the definitions, theorems, and properties involving limits, continuity, derivatives, anti-derivatives, and definite integrals.
  • Evaluate limits and derivatives of many functions and antiderivatives of simple functions.
  • Solve problems involving limits, derivatives, and antiderivatives using numerical methods.
  • Solve problems involving limits, derivatives, and antiderivatives using graphical methods.
  • Construct and solve mathematical models using definite integrals.