9 tips to help you PROVE MATH THEOREMS

How can you prove math theorems? How do you begin? What are the types of logical arguments you can use? How do you get unstuck when you don't know what to do? In this video i'm going to walk through a series of tips and tricks to help you prove mathematical theorems. We'll talk about the logical structure, and contrast proof methods like direct, contrapositive, contradiction and counterexample. I'll give you concrete template to work from assumptions, definitions of assumptions, manipulations, definition of conclusion and finally the conclusion. And then i'll talk about broader tips for getting yourself unstuck.

The tips:

0:00 Intro
0:49 Logical Structure
3:01 Proof methods
6:21 Write Definitions
8:45 Aim for the Conclusion
9:56 Understand the Claim
11:05 Geometric Picture
11:42 Concrete Example
12:39 Relevant Theorems?
11:32 Play Arround!

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►CALCULUS I:    • Calculus I (Limits, Derivative, Integrals)...  

► CALCULUS II:    • Calculus II (Integration Methods, Series, ...  

►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus (Vect...  

►DIFFERENTIAL EQUATIONS (Calc IV):    • How to solve ODEs with infinite series | I...  

►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Logic, P...  

►LINEAR ALGEBRA:    • Linear Algebra (Full Course)  

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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.

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