10 Questions
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?
Isaac Newton and Gottfried Wilhelm Leibniz
What does the word 'calculus' mean in Latin?
Small pebble
What is the meaning of the word 'calculus' in Latin?
Small pebble
Who independently developed infinitesimal calculus in the late 17th century?
Isaac Newton and Gottfried Wilhelm Leibniz
What does differential calculus concern?
Instantaneous rates of change and slopes of curves
What does integral calculus concern?
Accumulation of quantities and areas under or between curves
What are the fundamental notions that differential and integral calculus make use of?
Convergence of infinite sequences and infinite series to a well-defined limit
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
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.
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