Bloch, Ethan, "The Real Numbers and Real Analysis, Springer, 2011
What is Math 361:
Real analysis is the branch of mathematics that both fills in the theoretical details of Calculus (which was not rigorous when first invented), and generalizes Calculus to a variety of spaces. This course will develop the standard introductory concepts of real analysis on the real number line, including limits, continuity, derivatives, integrals, sequences and series. Many of these concepts, such as limits and continuity, are useful in a variety of mathematical contexts beyond real analysis.
The minimal prerequisite is Proofs and Fundamentals (Mathematics 261); an additional proofs-based 300-level mathematics course is strongly recommended.
If you are unsure whether Math 361 is an appropriate course for you, please consult with the instructor.
Google Classroom and Email:
All the needed information for this class will be available at the Google Classroom site for this class, on the Classwork page. You will be invited to joint this Google Classroom site at the start of the semester.
All homework assignments will be posted, and submitted, at the Google Classroom site.
Urgent announcements may be sent out via campus email, so make sure you either check your Bard email regularly or have your Bard email forwarded to the email address of your choice.
Calculators, Computers and Electronic Devices:
Use of a computer will be needed for typing the homework in LaTeX, which will be required for all homework assignments, as discussed in class.
Calculators are not needed for this class.
Electronic devices, including cell phones, tablets and laptop computers, may be used during class only for reasons related to the class, for example as calculators, to take notes or to read the text.
Texting, messaging and using social media is not allowed during class.
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