MATH 300 is about Proofs and Number Theory. In this class, I learned how to proof different mathematical situations. There are multiple techniques that can be used to prove a mathematical statement. Direct proofs means the logic is deduced from definitions, algebra, or the previous statement. We also learned proof by truth tables which built of the knowledge that we learned in Discrete Math. These are just some of the few techniques that we learned throughout the course of this class.
In the artifact, my final for the semester is shown. Since this semester was a bit unusual, I was able to keep my final. This encompasses everything that I have learned throughout the semester. Truth tables were the easiest part of the semester since it built off Discrete Math. From there, direct proof techniques were used. Induction and modular algebra was also implemented on the final.
These techniques were used throughout the final, and it shows what I learned throughout the semester. Induction and modular algebra were the hardest techniques to learn by far since they are more complex. Not only were they complex, but we were online learning at that point in the semester, so it was a bit like teaching yourself complex materials.
Overall, I have learned many different proof techniques that I can take with me throughout higher math courses. I got a glimpse of how helpful proofs can be in Linear Algebra when my professor showed us multiple proofs in class.