Quiz: Chapter 1 of A Tour of the Calculus by David Berlinski

1. WHO ARE THE TWO MATHEMATICIANS CREDITED WITH THE DEVELOPMENT OF CALCULUS IN CHAPTER 1?

• A. PYTHAGORAS AND EUCLID

• ARCHIMEDES AND DESCARTES

• NEWTON AND LEIBNIZ

• EULER AND GAUSS

2. WHAT DOES BERLINSKI DESCRIBE CALCULUS AS A WAY OF UNDERSTANDING?

• A. STATIC STRUCTURES

• B. PATTERNS OF SYMMETRY

• C. CHANGE AND MOTION

• D. GEOMETRICAL SHAPES

3. 3. WHAT IS THE RPIMARY METHOD USED IN CALCULUS TO APPROACH PROBLEMS, ACCORDING TO BERLINSKI?

• EXACT MEASUREMENTS

• GUESSING AND CHECKING

• APPROXIMATION AND REFINEMENT

• VISUALIZING GRAPHS

4. 4. WHAT IS THE MAIN FOCUS OF CHAPTER 1 IN BERLINSKI'S BOOK?

• A. THE PRECISE MATHEMATICAL DEFINITIONS OF CALCULUS

• B. THE HISTORICAL AND PHILOSOPHICAL CONTEXT OF CALCULUS

• C. THE APPLICATION OF CALCULUS TO ENGINEERING PROBLEMS

• D. THE USE OF TECHNOLOGY IN LEARNING CALCULUS

TRUE OR FALSE; BERLINSKI PRESENTS CALCULUS PRIMARILY AS MECHNAICAL SET OF RULES FOR SOLVING EQUATIONS.

• TRUE

• FALSE

6. 6. True or False: Chapter 1 emphasizes that calculus is about understanding continuous change.

• FALSE

• TRUE

7.True or False: Isaac Newton developed calculus independently of any other mathematician.

• TRUE

• FALSE