Calculus through Data & Modelling: Integration Applications

This course is part of Integral Calculus through Data and Modeling Specialization

Instructor: Joseph W. Cutrone, PhD

Skills you'll gain

  •   Mechanics
  •   Physics
  •   Calculus
  •   Integral Calculus
  •   Engineering Calculations
  •   Mathematical Modeling
  •   Applied Mathematics
  •   Geometry
  • There are 4 modules in this course

    Rather than measure rates of change as we did with differential calculus, the definite integral allows us to measure the accumulation of a quantity over some interval of input values. This notion of accumulation can be applied to different quantities, including money, populations, weight, area, volume, and air pollutants. The concepts in this course apply to many other disciplines outside of traditional mathematics. We will expand the notion of the average value of a data set to allow for infinite values, develop the formula for arclength and curvature, and derive formulas for velocity, acceleration, and areas between curves. Through examples and projects, we will apply the tools of this course to analyze and model real world data.

    Module 2: Arc Length and Curvature

    Module 4: Velocity and Acceleration

    Module 4: Areas Between Curves

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