SYLLABUS MATH 352 Analysis II Spring, 2020

Instructor: Ivan C. Sterling, 177 SH, (240-895-4370), isterling@smcm.edu.

Office Hours: TBA

Book: Understanding Analysis, 2nd Ed., Abbott,

FreeOnline https://elliespathtostatistics.files.wordpress.com/2018/03/abbott-second-edition.pdf

Course Outline: Chapters 4-8

Tests and Grades: There will be four exams (worth 80% of your course grade, 20% each). One of the four exams will be the non-comprehensive final. Homework will be part of your grade (worth 20%). The homework will be collected at the beginning of class on the day it’s due. Late homework will not be accepted. After it is collected, I will grade some of the homework problems. The exam problems will be the same or similar to those in the homework and the examples worked in class.

Dates for the exams: R 2/12; R 3/12; R 4/16; Final: Sa 5/9 2-4:15 pm.

Grading(roughly) 90-100% A,A-;80-90% B+,B,B-;70-80% C+,C,C;60-70% D+,D;0-60% F;

You can earn up to 3 extra % to your final grade for Natural Science & Math (NSM) Colloquium attendance. Two points for a Math/CS lecture & one for others. Email me to let me know after you attended.

Teaching Assistant: Jonathan Gorel, jlgorel@smcm.edu, 301-741-6590, Review Session: TBA

For Busines Use Only:

At the completion of MATH352, students will be able to parse different conditions for compactness, continuity, and convergence of sets of functions as demonstrated by using the conditions in mathematical arguments.

At the completion of MATH352, students will be able to employ mathematical argument and logic as demonstrated by using given hypotheses to prove continuity of functions.

At the completion of MATH352, students will be able to formulate a convincing mathematical argument in writing as demonstrated by defending a mathematical proof.

At the completion of MATH352, students will be able to solve challenging problems in analysis as demonstrated by constructing rigorous proofs.