/Course overview
MH1100 / MH1101 / MH2100

Calculus.From limits to fields.

One connected library, from the first limit to vector calculus. Choose a course or follow a concept.

ddx⏟local change  ∫axf(t) dt⏟accumulation=f(x)\underbrace{\frac{d}{dx}}_{\text{local change}}\;\underbrace{\int_a^x f(t)\,dt}_{\text{accumulation}}=f(x)

For continuous ff: change and accumulation connect.

PROOF WORKSHOP

Make the argument yours.

Construct a bound, a hidden path, or an oriented loop. Inspect an exact result, then revise your explanation.

CALCULUS CLINIC

Which assumption changes the answer?

Nine original cases. Make a decision, inspect the argument, and transfer the idea.

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0 exercise self-assessments marked explainable · 0 marked for practice · 0 choice attempts recorded. These records do not establish mastery.

MH1100 · STUDY PATH

Calculus I

24 explorations
01

Functions

02

Approaching a limit

03

Limit laws

04

Precise limits

05

Continuity

06

The derivative

07

Differentiation rules

08

Composition & approximation

09

Extrema & mean values

10

Reading a graph

11

Optimization & antiderivatives

12

Inverses, exponentials & logarithms

13

Indeterminate forms

How to use this library

Make a prediction. Move the parameter. Read the definition and its assumptions, then open the argument or worked example. Each exploration links back to the course pages; extra reading stays optional.

Independent study companion. Course paths follow the supplied MH1100 and MH1101 materials from AY2025–26, and MH2100 materials from AY2026–27. This is not an official NTU publication.

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Calculus · MH1100 / MH1101 / MH2100