MA421.01 Fall 21: Analysis I Syllabus

textbook cover 1:00 MWF 108 Beatty Hall

Dr. Lisa Oberbroeckling (o-burr-brek-ling) Office:301c Knott Hall Phone: 410-617-2516

E-mail: OR

Zoom Room: https://loyola.zoom.us/my/loberbro or PMI: 410 617 2516

Moodle: moodle.loyola.edu

Office Hours: 10:15-12 MF, 10:15-11 W. Also by appointment (see my schedule)

Caution or warning symbol I reserve the right to make changes to the syllabus at any time during the term by announcing them in class and on the webpage. You are responsible for knowing not only what is discussed/announced in class but also what is posted on Piazza website.

Prerequisites
MA395: Discrete Methods.
Course Description
A rigorous development of topics in calculus, and a systematic study of basic analysis with an emphasis on formal proofs. Topics include properties of the real line, sequences, series, theory of limits, continuity, theory of differentiation, and integration of functions of one variable.
Learning Goals
The material covers in detail topics which are crucial for the development of calculus. Many of these topics were only briefly cited and/or not proven in the calculus courses. An important goal of this course is to teach the students the rigorous study of the concepts behind elementary calculus. Students will take a closer look at the concepts of real numbers, limits, continuity and differentiation and learn to write proofs. For most students this will be the first course that gives a glimpse of what pure mathematicians do and what any applied mathematician should know. List of learning objectives:
  • properties of the real line, including completeness, infimum, and supremum;
  • finite and infinite sets;
  • rigorous treatment of sequences and limits; and
  • rigorous treatment of single-variable functions, continuity and differentiation.
Department Learning Aims
  • Calculate Accurately: Students will be able to calculate accurately using algebra, calculus, or higher-level mathematics.
  • Write Proofs: Students will be able to write proofs of theorems.
  • Interpret Accurately: Students will be able to accurately interpret mathematical or statistical information in relation to procedures, concepts, or applications.
  • Program Quantitatively: Students will be able to write computer programs or run computer packages to perform quantitative tasks.
Text
Required: Introduction to Mathematical Analysis I - Second Edition by Beatriz Lafferriere, Gerardo Lafferriere, and Nguyen Mau Nam. An open educational resource. Link found on Moodle.
Another free resource: Introduction to Real Analysis by William F. Trench. Open Access Textbook. PDF found on Moodle.
Grading
Based on:
 
Homework
40%
2 Exams*
20% and 15%
*The higher of the two exams counts 20%
 
Final Exam
25%
Basic
Scale:
A
90-100%
B
80-89%
C
70-79%
D
60-69%
F
0-59%

I give +/- grades, the cutoffs being at the 7's and 3's, respectively. Thus 80-82.9 = B-, 83-86.9 = B, 87-89.9 = B+.

Homework
The homework will be time consuming so do not procrastinate. This course will emphasize problem solving and proof writing; thus homework is the most important aspect of the course. Assignments will consist of exercises from the book and any additional exercises or computer problems that are assigned. These will be posted on the homework webpage. They will be collected periodically (about every 1.5-2 weeks) throughout the term as announced in class and on the webpage. Of the set of problems turned in on an assignment, I will choose a handful to correct and give feedback.
Late Homework
Each homework set is worth 40 points. I will dock 4 points on any late homework. I will not accept any late homework two class periods beyond the due date.
Homework Redos
For each homework set, you may rewrite one of the problems of your choice that was corrected. You MUST turn in your original HW along with the rewritten one. The problem will be worth up to the number of points the problem was worth.

In other words, one of your problems, when turned in, can be treated as a "rough draft" if needed. The rewrite will be due in the class following the class the corrected homeworks were handed out. You should take care to rewrite it as concisely and neatly as possible.

Important: you may NOT get help from each other on redos, but you may ask me or another professor.

Exams
There will be 2 in-class exams during the term. They are tentatively scheduled on Monday, October 11 and Wednesday, November 10. Other information about the exams will be announced in class as each exam approaches.
Final Exam
The final exam is cumulative and is on Wednesday, December 15 at 1 PM.
Extra Credit:
Do not count on extra credit in this course to boost your grade. I make it a policy to not give extra credit on an individual basis so do not ask for it, especially at the end of the semester.
Honor Code
All students of the University are expected to understand the meaning of the Loyola University Honor Code. Ignorance of the Code is not a valid reason for committing an act of academic dishonesty. The following constitute violations of the Code and are defined in the Community Standards Handbook: cheating, stealing, lying, forgery, plagiarism and the failure to report a violation.

As it pertains to this course: I expect and encourage you to work with others on homework (by collaborating, not copying!). However, you must write and understand the work that you turn in and you may not share written solutions before they are turned in. If you learn how to solve a problem by talking to a classmate, looking it up in a book or on the internet, you should cite the source in your homework write-up, as you would for a literature paper. As stated above, you may not discuss homework redos with each other. I will ask you to sign a pledge on exams but not on all assignments although I will expect the same honesty on all of them. Any questions or concerns should be directed immediately to me.

Classroom Etiquette:

When you come to class, I expect you to not only be in attendance physically but also mentally. That means no cell phones, no leaving class during lecture, no extraneous chatter, etc. If you know you must leave class, sit by the door to minimize the disruption. If cell phones and texting become a problem, I will confiscate the phone.

The goals of this course are best accomplished when in a setting of mutual respect. The study of mathematics does not usually lead to much controversy. That being said, we must all work to provide a safe environment that is conducive to learning. All are welcomed and encouraged to actively participate in the learning of analysis, regardless of gender, race, nationality, native language, sexual orientation, gender identity, political ideology, and especially personal mathematical history. Any student who feels she or he is experiencing a hostile environment should speak to me immediately.

Student Athletes:
If you are a student athlete, please provide me with your travel and game schedule indicating when you will need to miss class to participate in athletic events. While travel for athletics is an excused absence, you will need to make up any missed work. Absences only on the travel letter will be accommodated.
The Counseling Center
The Counseling Center supports the emotional well-being of the student body and is committed to a respectful understanding and honoring of the social, emotional, and cultural contexts represented by each individual student. The Counseling Center provides brief individual and group counseling, emergency and crisis intervention, and comprehensive referral services for those in need of longer-term therapy. We are currently providing both in-person and virtual services and this is subject to change in accordance with best health practices and state laws. Relevant updates and more information can be found on our webpage: www.loyola.edu/counselingcenter or by calling (410) 617-CARE (2273). To make an appointment, please call (410) 617-CARE (2273). For after-hours emergencies, please call our after-hours counselor at (410) 617-5530 or Campus Police at (410)617-5911. Let's Talk!
DSS Accommodations
If you are a student registered with Disability Support Services (DSS) who needs accommodations for this course, please make sure you ask DSS to send me a Faculty Notification Email (FNE). If DSS has already sent me your FNE, please schedule a brief meeting to discuss your accommodations during my office hours. If you are registered with DSS and need accommodations for this course, be sure to contact the DSS office as soon as possible. Students with a physical or mental condition experiencing barriers in this or another course, please go to the Disability Support Services' website to learn more about accommodations at Loyola. Also, you can contact DSS at DSS@loyola.edu or (410) 617-5387 to schedule a meeting.
Title IX
Title IX: Loyola University Maryland is committed to a learning and working environment free from sexual and gender-based misconduct including sexual harassment, sexual verbal abuse, sexual assault, domestic violence, dating violence, stalking, and sexual exploitation. Reports of such offenses are taken seriously and Loyola encourages students experiencing sexual misconduct to report the incident in accordance with the University's policy on Reporting Sexual Misconduct. Because of the University’s obligation to respond to reports of sexual misconduct, mandated reporters including faculty members, are required to report incidents of sexual misconduct to the Title IX coordinator even if the reporting party requests confidentiality. Information about confidential resources that are not required to report sexual misconduct to the Title IX coordinator may be found in the Notice Rights and Options for Sexual Misconduct policy. For more information about policies and resources or reporting options, please visit Community Standards, or Title IX . Loyola is also committed to an environment free of other forms of harassment and discrimination. For information about policies and reporting resources, please visit (harassment and discrimination policy.)
The Study
The Study is located on the third floor of Jenkins Hall and serves as Loyola University Maryland's academic support center. Our mission is to help Loyola students become successful, independent learners. We do this through a variety of free academic support services, such as peer and professional tutoring, academic success workshops, academic coaching, and time management and organization coaching. These services are available in person and online, and students can register for them through The Study’s website at www.loyola.edu/thestudy.
Food/Housing Insecurity and Textbook Needs
Any student who has difficulty securing their food, housing, or textbooks is urged to contact Christina Spearman, the Dean of Students, at cjspearman1@loyola.edu or 410-617-5171. Loyola may have resources available to help.

GENERAL SUGGESTIONS: