SYLLABUS MATH 351 Analysis I Fall, 2019

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 1-5

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 some of the homework problems will be selected for the TA to grade. 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 9/26; R 10/24; R 11/21; Final: T 12/17 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.

Infinity License: In order to pass Analysis I, you'll need to pass an infinity exam and get an infinity license. If you fail, you may retake it. Any math faculty can administer the exam at any time.

Latex Homework: In order to pass Analysis I, you'll need to turn in one homework which you typed up using latex.

Teaching Assistant: TBA, tba@smcm.edu, phoneTBA, Office Hours: TBA, Review Session: TBA

Drop w/noFee Deadline Friday Sep 6th → Drop w/fee Deadline Monday Sep 16th → Withdraw Deadline Friday Nov 8th ; Midterm grades due: Monday October 28th

For Busines Use Only:

At the completion of MATH351, students will be able to parse the various conditions for completeness of the real numbers as demonstrated by outlining arguments that establish their equivalence.

At the completion of MATH351, students will be able to employ mathematical argument and logic as demonstrated by using given hypotheses to prove inequalities between real numbers.

At the completion of MATH351, students will be able to formulate a convincing mathematical argument in writing as demonstrated by defending a mathematical proof.

At the completion of MATH351, students will be able to solve challenging problems in analysis as demonstrated by constructing rigorous proofs.