Real Analysis
MATH 450 Fall 2017
Course Information

Lectures: HS 205, MWF 10:00am-10:50am

Instructor: Dr. Mihaela Vajiac

Office: VN 102

Office hours: Announced on Webpage.

Webpage: http://www1.chapman.edu/~mbvajiac
Moodle Webpage: http://mathv.chapman.edu/moodle

Credits: 3

Text: Mathematical Analysis, T. Apostol, Addison Wesley, Second Edition.

Prerequisites: MATH 211: Linear Algebra; Credits: 3

Objectives: This course is an introduction to advanced calculus and real analysis. Students study properties of the real number system, sequences and series of real numbers, continuity and differentiability, sequences, and series of functions, integrability.

Much thought and persistent work on your part will be necessary in order to achieve this goal. Making a regular and concerted effort to read the textbook will be a key to success. To prepare for exams, it is also recommended that you try working as many problems from the book as possible. Questions are ALWAYS welcome during class periods and during office hours. Attendance at each class lecture is required and expected. In class participation is required and it is part of your grade.

Homework: The homework consists of weekly written assignments from the book and from lectures. Homework is a major part of your grade, so do not miss assignment due dates, as there will be no late work accepted. Each Homework is due on Mondays.

In class participation: During class times you will be asked questions from previous assignments and/or lectures. Each one of you will have a multitude of opportunities for answering and contributing to the class discussions. Points will be assigned for consistent participation, for correct answers, posing adequate questions, etc.

Tests: One take-home midterm test will be given. The date for the midterm will be announced in class at least one week in advance. Implicit in your registration for this class is the affirmation that you will be able to take all examinations. No make-up exams will be given.

Final exam: The final exam is comprehensive and is officially scheduled in the Chapman University Academic Calendar on Monday December 11th at 8:00am. You will have a take-home part for this exam and an oral presentation on concepts presented throughout the semester, a list of which will be presented to you at the end of the semester .

Important Note: As a general rule, there will be no make-up homework, no make-up tests.

Grading: Total 600 points, distributed as follows:

1. Homework: 200 points
2. In class participation: 100 points
3. Midterm Test: 100 points
4. Final Exam: 100 points
5. Oral Final Presentation: 100 points

Tentative scale:

Collaboration: You are encouraged to work together on homework and to learn from each other. However, the paper you eventually turn in should represent your own understanding -- you should be able to justify every sentence. There is a fine line between collaborative learning and turning in another's work.

Proofs: Mathematics is about proving things as much as it is about calculating things. The first homework is given mainly to see how well you understand the art of proof. If you have trouble with proofs, we can work on it, but there is no avoiding the concept of proof in (honest) mathematics.

Help: Office hours are there for a reason. Please come. You are not only doing yourself a favor, but also giving me valuable feedback. The more questions you ask, the better my next lecture will be.

Fun: We'll have loads of fun, that's a promise!

Academic Integrity: Students are assumed to be familiar with the Academic Integrity Code. Any violations of this code will be strictly dealt with in accordance with this code.

Student Support at Chapman University: Over the course of the semester, you may experience a range of challenges that interfere with your learning, such as proble\ ms with friend, family, and or significant other relationships; substance use; concerns about personal adequacy; feeling overwhelmed; or feeling sad or anxious without knowing wh\ y. These mental health concerns or stressful events may diminish your academic performance and/or reduce your ability to participate in daily activities. You can learn more abou\ t the resources available through Chapman University Student's Psychological Counseling Services here:

Fostering a community of care that supports the success of students is essential to the values of Chapman University. Occasionally, you may come across a student whose personal \ behavior concerns or worries you, either for the student's well-being or yours. In these instances, you are encouraged to contact the Chapman University Student Concern Interven\ tion Team who can respond to these concerns and offer assistance:

https://www.chapman.edu/students/health-and-safety/student-concern/index.aspx

While it is preferred that you include your contact information so this team can follow up with you, you can submit a report anonymously. 24-hour emergency help is also av\ ailable through Public Safety at 714-997-6763.