Podcast
Questions and Answers
What are the major subdisciplines of modern mathematics?
What are the major subdisciplines of modern mathematics?
- Arithmetic, calculus, topology, and logic
- Probability, differential equations, combinatorics, and set theory
- Number theory, algebra, geometry, and analysis (correct)
- Calculus, trigonometry, algebra, and statistics
What is the primary method used in mathematical activity?
What is the primary method used in mathematical activity?
- Discovery of properties of abstract objects and the use of pure reason to prove them (correct)
- Intuitive guesswork and trial-and-error
- Experimentation and observation of natural phenomena
- Collection of empirical data and statistical analysis
What does a proof in mathematics consist of?
What does a proof in mathematics consist of?
- Appeal to authority and popular opinion
- Anecdotal evidence and personal testimonies
- Statistical correlation and causation analysis
- A succession of applications of deductive rules to already established results (correct)
What are the objects that mathematical properties are discovered about?
What are the objects that mathematical properties are discovered about?
What is the role of axioms in mathematics?
What is the role of axioms in mathematics?
What are Sine, Cosine, and Tangent based on?
What are Sine, Cosine, and Tangent based on?
What stays the same for a given angle θ in Sine, Cosine, and Tangent?
What stays the same for a given angle θ in Sine, Cosine, and Tangent?
What changes the ratio in Sine, Cosine, and Tangent?
What changes the ratio in Sine, Cosine, and Tangent?
What is the ratio of Sine often shortened to?
What is the ratio of Sine often shortened to?
What do good calculators have to make calculations of Sine, Cosine, and Tangent easy?
What do good calculators have to make calculations of Sine, Cosine, and Tangent easy?
What are Sine, Cosine, and Tangent based on?
What are Sine, Cosine, and Tangent based on?
What stays the same for a given angle θ in a right-angled triangle?
What stays the same for a given angle θ in a right-angled triangle?
What do Sine, Cosine, and Tangent represent in Trigonometry?
What do Sine, Cosine, and Tangent represent in Trigonometry?
What changes the ratio of sides in a right-angled triangle?
What changes the ratio of sides in a right-angled triangle?
What do good calculators have to make trigonometric calculations easier?
What do good calculators have to make trigonometric calculations easier?
