Calculus 101

What are the two major branches of calculus?

Algebraic calculus and differential calculus

Differential calculus and integral calculus (correct)

Integral calculus and algebraic calculus

Differential calculus and trigonometric calculus

Which branch of mathematics is calculus a part of?

Algebra

Trigonometry

Calculus (correct)

Geometry

What does differential calculus primarily concern?

Accumulation of quantities

Instantaneous rates of change (correct)

Areas under or between curves

Convergence of infinite sequences

What does integral calculus primarily concern?

Accumulation of quantities Signup and view all the answers

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

Isaac Newton and Gottfried Wilhelm Leibniz Signup and view all the answers

Which of the following represents a formal definition of a function?

A set with elements that are ordered pairs where each element of the first set is related to exactly one element of the second set Signup and view all the answers

What are the ways in which functions are represented?

Tables, formulas, and graphs Signup and view all the answers

What is the composition of functions?

The process of combining two functions to form a new function Signup and view all the answers

What is a relation from set A to set B?

A relationship between two sets Signup and view all the answers

What is the purpose of this section on functions?

To serve as a review and reference for algebraic techniques useful for working with functions Signup and view all the answers

Calculus 101

Questions and Answers

What are the two major branches of calculus?

Which branch of mathematics is calculus a part of?

What does differential calculus primarily concern?

What does integral calculus primarily concern?

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

Which of the following represents a formal definition of a function?

What are the ways in which functions are represented?

What is the composition of functions?

What is a relation from set A to set B?

What is the purpose of this section on functions?

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