We hope that your experience in this course will serve as a gentle initiation into the larger mathematical community. One technical aspect of this initiation will be an introduction to LaTeX, a markup system for producing mathematical documents on a computer. Other ways this will be fostered will be through outside readings and participation in activities of the Bernard Mathematics Society, including Math Coffees. Your involvement in some of these activities may have tangible rewards towards your course grade, but others will be expected of you as fledgling members of the fellowship of mathematicians.
A culminating activity in the course (along with the final examination) will be the compliation of a proof portfolio. The portfolio will include at least a dozen examples of your proof-writing from homework, each showing your progression from initial effort to polished revision. Your choices for inclusion in the portfolio should provide a broad representation of topics and proof techniques from our course.
A rough recipe for the proportions in which these events combine to produce your evaluation is
You should come to class prepared to discuss readings and problems from the text. Collaboration on homework is encouraged. However, anything you present or turn in should represent your own understanding of the material. If you have any questions regarding ground rules for individual events, do not hesitate to ask for clarification.
Each member of the class is a valuable resource for others in the class. Absences and tardiness diminish the quality of the course; come to class and come on time. I monitor attendance; missing 20% of class meetings can trigger action to encourage more faithful attendance. In any event, you are responsible for all material discussed in class, whether you are present or absent.
|Jan 15, 17||0.1, 0.2||1.1, 1.2||ch 0: Notation & Assumptions|
|Jan 22, 24||1.3, 1.4||LaTeX Intro||ch 1: Logic|
|Jan 29, 31||2.1||2.2||ch 2: Beginner-Level Proofs|
|Feb 5, 7||2.3||2.4||Writ #1 (due Feb 12)|
|Feb 12, 14||2.5||2.6||..|
|Feb 19, 21||2.7||2.8||..|
|Feb 26, 28||2.9||3.1||ch 3: Functions|
|Mar 4, 6||no class||no class||Spring Break|
|Mar 11, 13||3.2||Review||..|
|Mar 18, 20||3.3||..||ch 4: The Real Numbers|
|Mar 25, 27||no class||4.1||Easter Break|
|Apr 1, 3||4.2||4.3||..|
|Apr 8, 10||4.4||4.5||(Portfolio draft due Apr 10) Writ #2 (due Apr 15)|
|Apr 15, 17||4.6||..||..|
|Apr 22, 24||5.1||5.2||ch 5: Functions of a Real Variable|
|Apr 29, May 1||5.5?||5.6?||(Portfolio due May 1)|
|May 6||..||Reading Day||..|
|May 9--14||Final Examination|