Guidelines and Rubric: Topic Selection Overview The topic selection should be a two-pages submission detailing the topic you selected for your final project, a synchronous live oral defense of your mathematical proof. The topic description should provide sufficient detail to show the appropriateness of the topic. If you are using an alternative format for the slides other than PowerPoint, you need to let the instructor know in this submission. NOTE: The topics should be intimately connected to the structure of real numbers, sequences, continuity, differentiation, and Riemann integration real numbers. The following general topics can be used to guide your more specific topic selection, select two topics of those as followed: Describe the idea of a limit of a function at a point. Determine whether a given function is continuous, discontinuous, or uniformly continuous. Review A Brief Note on Proofs in Pure Mathematics for a description of the components of a mathematical proof. Specifically the following critical elements must be addressed: Provide a description of the selected topic, describing: The specific topic of the mathematical proof to be presented, including the appropriate axioms and theorems and which method of proof you may use (e.g., direct proof, proof by construction, proof by contradiction, proof by induction, etc.). An analysis of why this topic is appropriate for a synchronous live oral defense of your mathematical proof, for example, can an appropriate level of detail be presented within 5 to 10 minutes to provide a clear, logical argument? Rubric Guidelines for Submission: Milestone One: Topic Selection should follow these formatting guidelines: One page, double spacing, 12-point Times New Roman font, one-inch margins, and citations in APA format. This activity uses an integrated rubric in Blackboard. Students can view instructor feedback in the Grade Center. For more information, review these instructions. Instructor Feedback: Students can find their feedback in the Grade Center. Critical Elements Mathematical Topic Proficient (100%) Selects and comprehensively explains a topic to defend in the mathematical proof Analysis Demonstrates comprehensive analysis of the topic, demonstrating the appropriateness of the topic choice Submission has no errors related to citations, grammar, spelling, syntax, or organization Articulation of Response Needs Improvement (55%) Selects and explains a topic to defend in the mathematical proof; however, explanation is insufficient or inaccurate Demonstrates minimal analysis of the topic; minimally demonstrates appropriateness of topic choice Not Evident (0%) Does not select or accurately identify a topic for mathematical proof Value 40 Does not demonstrate analysis of the topic/show the appropriateness of the topic 40 Submission has major errors related to citations, grammar, spelling, syntax, or organization that negatively impact readability and articulation of main ideas Submission has critical errors related to citations, grammar, spelling, syntax, or organization that prevent understanding of ideas Earned Total 20 100%