Math 4310 Introduction to Analysis Fall '07

Semester 1, 2007-08

Course Lecturer:

Dr. Judith Packer, Dept. of Mathematics

Tel: (303) 492-6979
Office: Math 227

Course Information:
This course is meant to familiarize the student with the theory of functions of one real variable. Topics to be covered include: the real number system; limits of sequences of real numbers, functions of one real variable, continuity, differentiation, the Riemann integral, sequences and series of functions, convergence and uniform convergence, and Taylor's Theorem.

Math 2400 Calculus 3 and Math 3000 or Math 3200. Math 3130 Linear Algebra is highly recommended.

Course Text:
We will use the text "Elementary Analysis: The Theory of the Calculus", by Kenneth A. Ross, Springer.

Assessment: Lecture Hours and Venue:
MWF, 10 - 10:50 a.m., ECCR 110 (NOTE ROOM CHANGE!)

Consultation Hours:
MW 3-4, F 11-12 and by appt.

Homework Assignments:

Homework will be assigned weekly, and is due at the beginning of class, usually on Mondays. Some, but not all of the problems will be graded. Show all your work.
Students With Disabilities:
If you qualify for accommodations because of a disability, please submit a letter to me from Disability Services in a timely manner so that your needs may be addressed. Disability Services determines accommodations based on documented disabilities. Contact: 303-492-8671, Willard 322, or www.Colorado.EDU/disabilityservices
Disability Services' letters for students with disabilities indicate legally-mandated, reasonable accommodations. The syllabus statements and answers to Frequently Asked Questions can be found at
Missed Exams:
If you are absent from an exam without a valid excuse, you will receive a grade of "F" for that exam. Examples of valid excuses are: documented illness (doctor's letter required), religious observance, serious family emergency. Leaving early for or coming back late from an out-of-town trip is not considered a valid excuse for being absent from an exam.
Religious Obligations:
Campus policy regarding religious observances requires that faculty make every effort to reasonably and fairly deal with all students who, because of religious obligations, have conflicts with scheduled exams, assignments or required attendance. In this class, if you have a religious obligation that conflicts with one of the exams, please let your instructor know at least two weeks in advance. See policy details at
Student Classroom and Course-Related Behavior:
Students and faculty each have responsibility for maintaining an appropriate learning environment. Students who fail to adhere to such behavioral standards may be subject to discipline. Faculty have the professional responsibility to treat all students with understanding, dignity and respect, to guide classroom discussion and to set reasonable limits on the manner in which they and their students express opinions. Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with differences of race, culture, religion, politics, sexual orientation, gender, gender variance, and nationalities. Class rosters are provided to the instructor with the student's legal name. I will gladly honor your request to address you by an alternate name or gender pronoun. Please advise me of this preference early in the semester so that I may make appropriate changes to my records. See policies at and at
Honor Code:
All students of the University of Colorado at Boulder are responsible for knowing and adhering to the academic integrity policy of this institution. Violations of this policy may include: cheating, plagiarism, aid of academic dishonesty, fabrication, lying, bribery, and threatening behavior. All incidents of academic misconduct shall be reported to the Honor Code Council (; 303-725-2273). Students who are found to be in violation of the academic integrity policy will be subject to both academic sanctions from the faculty member and non-academic sanctions (including but not limited to university probation, suspension, or expulsion). Additional information on the Honor Code can be found at and at
Discrimination and Sexual Harassment:
The University of Colorado at Boulder policy on Discrimination and Harassment, the University of Colorado policy on Sexual Harassment and the University of Colorado policy on Amorous Relationships applies to all students, staff and faculty. Any student, staff or faculty member who believes s/he has been the subject of discrimination or harassment based upon race, color, national origin, sex, age, disability, religion, sexual orientation, or veteran status should contact the Office of Discrimination and Harassment (ODH) at 303-492-2127 or the Office of Judicial Affairs at 303-492-5550. Information about the ODH and the campus resources available to assist individuals regarding discrimination or harassment can be obtained at

Some famous mathematicians who worked in this area:
Back to the home page of Judith A. Packer
Last modified August 21, 2007.