IU MATH-M 211 Calculus I: Syllabus, Topics and Practice

IU MATH-M 211 (Calculus I) is the first calculus course at Indiana University Bloomington, offered by the College of Arts and Sciences. It is worth 4 credits and is the start of the M211, M212, M311 sequence. This guide maps each M211 topic to a short lesson you can practice with instant feedback.

What IU MATH-M 211 covers

IU's official course listing describes MATH-M 211 as: limits, continuity, derivatives, definite and indefinite integrals, applications. The Department of Mathematics gives a slightly longer version: limits, continuity, derivatives, definite and indefinite integrals, and applications to optimization, rates of change and area. It calls M211 a gateway course to most sciences and many other quantitative areas, and says the Fundamental Theorem of Calculus, which links differentiation with integration, is the capstone of the course.

That is a standard Calculus 1 course and matches the PracticeCalculus Calculus 1 path from limits through integrals. The official listings do not include a schedule, textbook or prerequisite, so check your section syllabus and placement result for those.

MATH-M 211 topic map

M211 in the IU Bloomington sequence

Why M211 matters

The math department calls M211 a gateway course to most sciences and many other quantitative areas, so check whether your major lists it as a requirement. The skills you build here, reading a rate of change from a graph, setting up an optimization problem and computing an area with an integral, come back in physics, statistics and every later math course. Treat it as a foundation, not a box to tick.

Example problems at the M211 level

1. Continuity. For f(x) = \frac{x^2 - 4}{x - 2}, the limit as x \to 2 is 4, so defining f(2) = 4 makes f continuous.

2. A rate of change. If s(t) = t^3 - 6t is position, the velocity at t = 2 is

3. The Fundamental Theorem of Calculus.

How to do well in MATH-M 211

• Take the placement exam seriously, so you start in a course that fits your preparation.
• Practice a little every day. Short daily sets like limits practice work better than long weekend sessions.
• Learn the derivative rules early, since everything after week five depends on them.
• Connect derivatives and integrals. The Fundamental Theorem is the capstone, so make sure you can explain it in words, not just use it.
• Use the IU Math Learning Center and our timed practice exams before exams.

Tip: an indefinite integral always needs +\,C. Losing it is one of the most common ways to drop points.