MATH 1700: Midterm Questions

Problem Set 01

a) False. Testing many examples can suggest that a theorem is true, but examples alone can’t prove a theorem true in every case. We learned a proof requires logical reasoning that applies to all possible cases.

b) False. Math isn’t just about performing calculations, but math is also the science of abstract patterns and logical reasoning. Math involves identifying patterns and relationships, reasoning logically, solving problems creatively and proving why conclusions are true

c) False. Some problems has standard procedures, but many mathematical problems can be solved in different ways or require a new strategy. There is not one method that works for every problem.

d) False. mathematicians spend time exploring, experimenting and guessing. This involve making mistakes and discovering ideas. the mistake help us recognize what does not work so we can revise and propose a better solution

Problem Set 02

Problem Set 03

Problem Set 04

Problem Set 05

Problem Set 06

Problem Set 07