Mascot image.
#Y0A#Math

Course

MA0 B

Term

Spring 2026

Schedule

Tue / Thu Lecture + Fri Workshop

Lessons

0

Course overview

We develop antiderivatives and definite integrals together. Starting from area and accumulation, we define the integral, connect it to derivatives through the fundamental theorem, and practice the standard computational techniques and basic applications.

  1. Treat the integral as accumulated change before turning it into a computational tool.
  2. Build fluency with antiderivatives, substitution, and the fundamental theorem.
  3. Apply integration to area, displacement, average value, and simple physical models.

Weekly rhythm

  • Read the lesson page first and sketch the geometric picture before doing any calculations.
  • Work a few definite-integral estimates by hand before using closed-form antiderivatives.
  • Keep track of whether each problem is asking for an accumulation, an area, or an antiderivative.
  • Attempt any challenge exercises last, once the core techniques feel automatic.

Course themes

  • Riemann sums, area, and accumulation as the starting intuition.
  • Definite integrals and how limits turn finite sums into continuous totals.
  • Antiderivatives, the fundamental theorem of calculus, and substitution.
  • Applications to area between curves, average value, displacement, and simple growth models.

Prerequisites

No prerequisites.

Course direction

The course is meant to make integration feel like one coherent idea instead of a disconnected list of tricks.

References

Outside notes, textbooks, or course pages worth keeping around.