MATH-1610 Calculus I

In this first course of the calculus sequence, you will develop a range of foundational skills that lay the groundwork for more advanced mathematical studies.

Core skills

  • Understanding Limits
  • Understanding derivatives
  • Symbolic differentiation:
    • Power rule
    • Product rule
    • Quotient rule
    • chain rule.
    • Derivatives of exponential function, logarithm, trigonometric functions, and hyperbolic functions
  • Implicit differentiation
  • Applications of differentiation: Applying derivatives to solve problems related to rates of change, optimization, related rates, and curve sketching.
  • Integration: Developing the ability to find indefinite and definite integrals using techniques such as substitution, integration by parts, and trigonometric substitution.
  • Understanding the Fundamental Theorems of Calculus
  • Applications of Integration: Using integrals to calculate areas under curves, volumes of solids of revolution, and work done by varying forces.
  • Understanding the Mean Value Theorem

Additional material