Podcast
Questions and Answers
What are the two major branches of calculus?
What are the two major branches of calculus?
- Algebraic calculus and geometric calculus
- Arithmetic calculus and convergence calculus
- Differential calculus and integral calculus (correct)
- Limit calculus and series calculus
Who independently developed infinitesimal calculus in the late 17th century?
Who independently developed infinitesimal calculus in the late 17th century?
- Euclid and René Descartes
- Leonhard Euler and Pierre de Fermat
- Blaise Pascal and Carl Friedrich Gauss
- Isaac Newton and Gottfried Wilhelm Leibniz (correct)
What does the word 'calculus' mean in Latin?
What does the word 'calculus' mean in Latin?
- Counting tool
- Small pebble (correct)
- Arithmetic method
- Large stone
What fundamental theorem relates differential calculus and integral calculus?
What fundamental theorem relates differential calculus and integral calculus?
What are the widespread uses of calculus today?
What are the widespread uses of calculus today?
What is a piecewise-defined function?
What is a piecewise-defined function?
What is a property holding piecewise for a function?
What is a property holding piecewise for a function?
How are piecewise functions defined using common functional notation?
How are piecewise functions defined using common functional notation?
What is required for the subdomains of a piecewise function to be considered 'piecewise'?
What is required for the subdomains of a piecewise function to be considered 'piecewise'?
For bounded intervals, what is the requirement for the number of subdomains in a piecewise function?
For bounded intervals, what is the requirement for the number of subdomains in a piecewise function?