Professor: Jeff Blanchard, Noyce 2516, 269-3304, blanchaj (at) math.grinnell.edu
Text: Understanding Analysis by Abbott. It is important and expected that you read the text, especially the examples.
Foundations of Analysis is the first course in the analysis sequence. The learning goals for this course are:
- develop a deep conceptual understanding of the foundational aspects of the analysis of real numbers including limits of sequences and series of real numbers, the topology of the real line, properties of functions of one real variable, limits of sequences and series of functions of one real variable, and the theoretical development of differential and integral calculus of functions of one real variable;
- improve proof writing skills;
- improve ability to reason abstractly;
- improve mathematical reading comprehension;
- improve mathematical oral and written communication.
There will be daily homework, due at the beginning of class (excluding exam days). Homework will be posted on Pioneerweb. A subset of problems will be graded. The lowest three homework scores will be dropped.
There will be three in-class, midterm exams, tentatively scheduled for September 28, October 30, and November 23. These midterm exams will test the material covered since the previous exam.
The final exam is scheduled for Friday, December 18, at 9:00 am. The final exam will be comprehensive. Do not make arrangements to leave campus prior to the final exam. (Such situations will result in the loss of a letter grade on the final exam.)
You may not consult external sources regarding homework assignments. This includes, but is not limited to, searching for solutions online, consulting solution manuals, finding solutions in other text books, etc. Students may discuss homework assignments with other members of the course provided they submit their own work and identify their collaborators. All midterm and final exams are closed notes, closed book, and must be completed individually.
Absences permitted by the college (athletics, performance, religious observation, etc.) must be coordinated prior to the class period in order to make arrangements for the missed homework or exams. This coordination must be done in person prior to the absence. Missing more than four classes may result in a reduction of the final grade.
If you have specific physical, psychiatric or learning disabilities and require accommodations, please let me know early in the semester so that your learning needs may be appropriately met. You will need to provide documentation of your disability to the Dean for Student Success and Academic Advising, Joyce Stern, located on the third floor of the Joe Rosenfield '25 Center (x3702).
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