Bloomsburg University Spring 2019

Real Analysis - Math 421

Section 1, TuTh 11:00am - 12:15pm, BCH 107

Instructor: Dr. Kevin Ferland

Email: kferland@bloomu.edu

Web Page: http://facstaff.bloomu.edu/kferland/ ß Class web page can be accessed from here.

Office: Ben Franklin 225

Phone: 389-4502, Messages can be left at the Math Office 389-4500. However, email is better.

Office Hours: MWF 12:25pm - 1:55pm

TuTh 12:55pm - 1:55pm

or by appointment

Text Book:

Introduction to Real Analysis (4th edition), by Bartle and Sherbert, 2011

Calculator:

The graphical calculator TI-89 can be used as an aid for this course, and you may use it to do your homework when appropriate. However, always be aware of the times that you do use your calculator, since you will be required to show your work on tests and quizzes given in class. That is, THE USE OF A CALCULATOR ON QUIZZES AND TESTS IS FORBIDDEN.

Upper Level Math Course:

The demands of an upper-level mathematics course are much higher than those of lower-level courses, such as the calculus sequence. You will be required to KNOW DEFINITIONS and KNOW THEOREMS so that you can apply them in many and varied contexts. That is, far more than rote memorization is required. Moreover, you will be required to PROVE THEOREMS. Even problems asking for computations will require justification up to the standards of a proof.

Homework:

The practice of doing homework is perhaps the most important aspect of your learning the material, particularly in an upper level mathematics course such as this. Keeping up with the daily homework assignments will enable you to best understand the ideas presented in class, though it WILL NOT BE EASY. It will enable you to filter out those questions that give you the greatest difficulty and that need to be discussed in class. Some time in each class will be devoted to answering homework questions. You are required to READ EACH SECTION before it is discussed in class. This will allow you to get the greatest benefit from class time, rather than merely taking dictation. Homework is assigned for your benefit, and it is important that you do it. When an assignment is to be handed in for a grade, this will be clearly announced in class. Homework (when it is collected) will be due promptly at the beginning of class. Whether or not collaboration is allowed on a collected assignment will also be clearly announced. Even when you are allowed to work together on your homework, you must write up your own homework assignment in your own words. Obviously copied assignments will not be acceptable.

Quizzes / Collected Homework:

At least every week, and perhaps every class, there will be a quiz given or a homework assignment collected. Quiz problems will be like the homework problems and even just minor variations of homework problems straight out of the book. There could also be questions on definitions and theorems or on readings that have not yet been discussed in class. A quiz may be unannounced, although most often quizzes will be announced ahead of time. There will be NO MAKEUPS since the 2 lowest grades will be dropped. This will accommodate students who need to miss a class regardless of the reason. Note: This portion of your grade will occur in 8 point chunks. After two quizzes are dropped, your overall quiz percentage will be computed and multiplied by 50 points.

Tests:

There will be three in-class tests, each worth 50 points.

Thursday, February 21.

Thursday, March 28.

Thursday, April 25.

You will need to be well prepared for each test. If you have kept up with doing and understanding your daily homework, then studying for the test should not be difficult. Each test will be written under the assumption that you have practiced many problems of a similar type and can therefore work efficiently during the test. Your ability to do problems in a timely manner could affect your test score. Proofs will be required. The tests will not be curved.

Final Exam:

Tuesday, May 7, 10:15am -12:15pm, BCH 107.

The Final Exam will be cumulative. Do not make plans to leave campus before this exam is over. If you have a preexisting conflict, then you must see your instructor during the first week of class. Unless the final exam is missed due to a sudden emergency and the instructor is informed immediately, a missed final exam counts as zero.

Attendance / Participation:

You are required to attend every class and to be on time. You are responsible for everything that goes on in class, and success in this class cannot be expected without regular attendance. Regular participation in class by asking and/or responding to questions is required. I will keep track of all of this stuff. Note that this component of the grade does have an impact on your grade at an amount approximately equal to two steps on the grade scale.

Makeups:

There will be no makeup tests given. If you must miss a test for a legitimate reason, be sure to contact the instructor before the test with verification of the cause of your absence. If that is not possible, you must contact the instructor at the earliest opportunity. In the case of a documented and excused absence, the missing grade will be made up in an appropriate way determined by the instructor. In all other cases the missed exam counts as a zero.

Grading Policy:

Quizzes/Homework (drop 2) 50 points (total)

3 in-class tests 150 points (total) 50 points each

Attendance/Participation 20 points

Final Exam 100 points

Total Possible 320 points

The minimum number of points required for each letter grade is as follows:

A 288 points

A- 278

B+ 266

B 256

B- 246

C+ 234

C 224

C- 214

D+ 202

D 192

E below 192

Academic Honesty:

All cases of academic dishonesty will be reported to the Chair of the Mathematics Department. There will be no tolerance for cheating.

Students with Disabilities:

Any student who may need special consideration because of any sort of disability should make an appointment to see the instructor as soon as possible.