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.

Prerequisite:
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:
• Assessment of homework performance: 20 % of final grade
• In-class mid-term exam - Monday, October 1, 10 - 11 a.m. : 25 % of final grade.
• In-class mid-term exam - Monday, November 5, 10 - 11 a.m. : 25 % of final grade.
• Click HERE for a partial review sheet for the final exam. Also refer to the two midterm review sheets.
• Click HERE for some solutions to the above partial review sheet.
• Final exam - in class, Tuesday, December 18, 7:30 a.m. - 10 a.m. : 30 % of final grade.
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:
• Assignment 1: p.5, 1.1, 1.2; p. 12, 2.2, 2.6; p. 18-19, 3.1 (a), (b), 3.5 (a), (b), 3.7 (a), (b), (c), 3.8; due Wed. Sept. 5.
• Assignment 2, due Mon. Sept 10: 4.1 (e), (n), (u),(t), 4.2 (e), (k), (v), 4.3 (k),(m), 4.6(a), 4.7(a), (b), 4.8(b).
• Assignment 3, due Mon., Sept. 17: p. 26, 4.10, 4.12, 4.15; p. 36: 7.1 (a), (d), 7.2 (a). (d), 7.3 (c) (i), (j), (m), (o), (p); 7.4 (a), (b); p. 42; 8.1 (a)(c).
• Assignment 4, due Mon., Sept. 24: 8.2(a),(b), 8.3, 8.4, 8.5(a). 8.8(b), 9.2(a),(b), 9.4(a), (b). 9.10(a).
• Assignment 5, due Monday, October 8: Read Sections 10 and 11, and do problems p. 62: 10.1 (a) (d) (f), 10. 6(a), p. 73 11.1(a), 11.2 (d), (e), 11.5(a), (b).
• Assignment 6, due Monday, October 15: Read Sections 12, 14 and 17 through p. 118; do problems p. 78 12.2, 12.6(a), 12.10; pp. 98-99 14.1 (a), (c), (d), (e), 14.6 (a); p. 123 17.2 (a), (b).
• Assignment 7, due Monday, October 22: Finish reading Section 17 and read Section 18; do problems p. 123-124 17.3 (e),(f), 17.8 (a), 17.10 (b), (c), 17.12(a); p. 131-132 18.1, 18.5 (a), 18.10.
• Assignment 8, due Monday, October 29: Read Section 19; do problems pp. 144-145 19.1 (a), (b) (e), 19.2 (a), 19.4 (a), 19.5 (b), 19.9.
• Assignment 9, due Wednesday, November 14: Read Section 20 and Section 24; do problems p. 155 20.3, 20.11, 20.16, 20.18; p. 182 24.2 (a), (b).
• Assignment 10, due Wednesday, November 28: Read Sections 23, 25, and the first half of Section 28. do problems p. 176-177 23.1 (d),(f),(g), 23.2 (d), 23.5(a); p. 183-184, 24.4,24.6(a),(b), 24.17, p. 191 25.6 (a),(b), p. 211-212 28.4(b).
• Assignment 11, due Wednesday, December 5: Read second half of Section 28, Section 29, Section 26, and Section 31; do problems p. 212, 28.6 (b), 28.8 (b), (c); p. 221 29.11, 29.12(b),(c); p. 199 26.3 (a), (b), p. 240 31.1.
• Assignment 12, due Friday, December 14: Read Section 32, 33, 34; do problems pp. 252-253 32.3, 32.6, pp. 260-261 33.4, p. 190 25.3 (a), (b); pp. 199-200 26.4(b).

Homework:
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 www.colorado.edu/disabilityservices/accommodations.html
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 http://www.colorado.edu/policies/fac_relig.html
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 http://www.colorado.edu/policies/classbehavior.html and at http://www.colorado.edu/studentaffairs/judicialaffairs/code.html#student_code
Honor Code: