## Questions and Answers

What are the two major branches of calculus?

Differential calculus and integral calculus

Which aspect of calculus concerns instantaneous rates of change and the slopes of curves?

Differential calculus

What does integral calculus concern?

Accumulation of quantities, and areas under or between curves

Who independently developed infinitesimal calculus in the late 17th century?

Signup and view all the answers

What does the word 'calculus' mean in Latin?

Signup and view all the answers

What is the meaning of the word 'calculus' in Latin?

Signup and view all the answers

Who independently developed infinitesimal calculus in the late 17th century?

Signup and view all the answers

What does differential calculus concern?

Signup and view all the answers

What does integral calculus concern?

Signup and view all the answers

What are the fundamental notions that differential and integral calculus make use of?

Signup and view all the answers

## Study Notes

### Branches of Calculus

- Calculus has two major branches: differential calculus and integral calculus

### Differential Calculus

- Concerns instantaneous rates of change and the slopes of curves
- Deals with the study of rates of change and slopes of curves

### Integral Calculus

- Concerns the study of accumulation of quantities
- Deals with the study of areas under curves and volumes of solids

### History of Calculus

- Infinitesimal calculus was independently developed in the late 17th century by Sir Isaac Newton and German mathematician Gottfried Wilhelm Leibniz

### Etymology of Calculus

- The word 'calculus' means 'small stone' in Latin
- The term 'calculus' was first introduced by German mathematician Gottfried Wilhelm Leibniz

### Fundamental Notions

- Differential and integral calculus make use of two fundamental notions: the concept of limits and the concept of infinity

## Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

## Description

Test your knowledge of calculus with this quiz! Explore topics such as differential and integral calculus, instantaneous rates of change, and slopes of curves. See how well you understand the mathematical study of continuous change.