9 tips to help you PROVE MATH THEOREMS
Dr. Trefor Bazett
@drtreforAbout
This channel is about helping you learn math. I've got full playlists for Discrete Math, Linear Algebra, Calculus I-IV and Differential equations, as well as many more videos on cool math topics or about learning effectively. I am an Associate Teaching Professor teaching mathematics at the University of Victoria, in Canada. I completed my PhD in a fun branch of math called Algebraic Topology at the University of Toronto. Many of the videos on this channel were filmed during my time as an Assistant Professor, Educator at the University of Cincinnati. Mathematics is a journey we can all participate in. My videos can help support you, give you tools, and show you some of beauty and power of mathematics. But ultimately it is a journey we must travel together, so make sure you don't JUST watch my videos. Ask questions, try problems, and do as much math as you can on your own too!
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Video Description
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! **************************************************** COURSE PLAYLISTS: ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►DIFFERENTIAL EQUATIONS (Calc IV): https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 *************************************************** ► Want to learn math effectively? Check out my "Learning Math" Series: https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw ►Want some cool math? Check out my "Cool Math" Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho **************************************************** ►Follow me on Twitter: http://twitter.com/treforbazett ***************************************************** This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria. BECOME A MEMBER: ►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
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