Math 1271,  Calculus I, Lecture 030, Spring 2007

Credit will not be granted if credit has been received for: ESPM 1145, MATH 1371, MATH 1571H, MATH 1142, or MATH 1281; prerequisites 4 years high school mathematics including trigonometry or placement test or grade of at least C- in 1151 or 1155;  4 credits, meets Liberal Education requirement of Mathematical Thinking Core

 Science Classroom Building (SciCB) 375,  11:15-12:05 MWF

Contact Information for the Instructor:

Instructor: Willard Miller
Office: Vincent Hall 513
Office Hours: 13:25-14:15 M, 9:05-9:55 W, 12:20-13:10 F,  or  by appointment
Phone: 612-624-7379,

 Discussion Sections:

                 -031  11:15 am- 12:05 pm T,TH, PeikH 215, 
                 Teng Wang,       Office: VinH 526,
(612) 624-1824,
                                                   Office hours: 9:00-10:30, T,TH

                 -032  11:15 am-12:05 pm T,TH   VinH 311,
                 Kuerak Chung,  Office: VinH 557,
(612) 331-9256,
                                                   Office Hours: 10:10-11:00 and 13:25-14:15, T, TH

                 -033  12:20 pm-01:10 pm T,TH   RapsonH 43,
Teng Wang,      Office: VinH 526,  (612) 624-1824,
                                                  Office hours: 9:00-10:30, T,TH

                 -034  12:20 pm-01:10 pm T,TH   Rapson 54,
Kuerak Chung,  Office: VinH 557, (612) 331-9256,
                                                   Office Hours: 10:10-11:00 and 13:25-14:15, T, TH

                 -035  12:20 pm-01:10 pm T,TH   PeikH 28, 
                 Fatimah Wang,   Office:
VinH 550,  (612) 624-2838,
                                                    Office Hours: 16:30-17:30, M, W

Brief Course Description

Mathematical Prerequisites: 4 years high school math including trigonometry, or C- in Math 1151 or 1155, or placement exam. You should review your knowledge of algebra and trigonometry. Some students do poorly in this class due to poor understanding of basic arithmetical operations.


(1) Students should not take Math 1271 unless they have a good understanding of trigonometry, both in terms of its relation to geometry and as a source of important functions to which calculus can be applied. Students without an adequate background in trigonometry might not notice much difficulty at the beginning of the course, and then, when serious later difficulty is encountered, it will be too late to switch to Math 1151.
(2) Students with some calculus background might, on the basis of easily understanding the early part of the course, develop bad study habits that will lead to disaster later in the course. 

Grading and Exams: There will be 3 midterm exams and a final exam. Your grade will be determined by the following weights:

Typically, the distribution of final grades is about 15% A, 25% B, 35% C and 25% D and F, but the exact distribution depends on class performance. I would be pleased to give more A's and B's if the class performs especially well.

Homework    The homework assignments are given on the course web page, and are due in discussion session on Tuesday of the week following when the corresponding section was treated by me. You may work together on the homework problems, but must write up your solutions in your own words.

The midterm exams and  the final exam are closed book and without notes. You are expected to attend lectures and recitations.  You should prepare for class in advance by reading the material for that day. If you have a borderline grade, the final exam takes precedent.

Absence from exams: Missing an exam is permitted only for the most compelling reasons. You should obtain my permission in advance to miss an exam. Otherwise you will be given a 0. If you are excused from taking an exam, you will be given an oral exam, or your other exam scores will be prorated.

Calculators and other electronic devices: A basic calculator will be useful for homework problems, but no calculators or computers will be allowed on the midterm exams or the final. No electronic devices may be accessible to any student during an exam. This includes cell phones and sufficiently sophisticated watches in addition to calculators and other machines. The instructor or proctor reserves the right to require, at the instructor's or proctor's discretion, that any electronic device be put away. Failure to comply is considered cheating by Institute of Technology policy.

Official University Statement on Academic Dishonesty: Academic dishonesty in any portion of the academic work for a course shall be grounds for awarding a grade of F or N for the entire course.

Official University Statement on Credits and Workload Expectations: For undergraduate courses, one credit is defined as equivalent to an average of three hours of learning effort per week (over a full semester) necessary for an average student to achieve an average grade in the course. For example, a student taking a three credit course that meets for three hours a week should expect to spend an additional six hours a week on coursework outside the classroom.

Statement on Incompletes, S/N: The grade "I'' is assigned only when a student has satisfactorily (a C grade or better) completed all but a small portion of the work for the course, and has made prior arrangements to complete the work. This means, for example, if you quit attending class after the second exam, and then request an "I" in the tenth week, your request will be denied. You will fail the course. To obtain an S, you need at least a C- grade.

Scholastic Conduct: Each student should read his/her college bulletin for the definitions and possible penalties for cheating. During the exams you must do your own work. Students suspected of cheating will be reported to the Scholastic Conduct Committee for appropriate action.

Complaints: You can address any complaints about your TA to me. You can address complaints about your lecturer to the Undergraduate Head, Professor David Frank, Vincent Hall 115.

Date                        Lecture will cover

W  Jan  17
Section      1.3                                                                                                 
F   Jan 19
Section      2.1
M  Jan 22
Section      2.2
W  Jan 24
Section      2.3
F   Jan 26
Section      2.5
M  Jan 29
Section      2.6
W  Jan 31
Section      2.7
F   Feb 2
Section      2.8
M  Feb 5
Section      2.9
W  Feb 7
Section      3.1
F   Feb 9
Section      3.2
M  Feb 12
Review for Midterm I
W  Feb 14
Section      3.3
F   Feb 16
Section      3.4
M  Feb 19
Section      3.5
W  Feb 21
Section      3.6
F   Feb 23
Section      3.7
M  Feb 26
Section      3.8
W  Feb 28
Section      3.10
F   Mar 2
Section      3.11
M  Mar 5
Section      4.1
W  Mar 7
Section      4.2
F   Mar 9
Section      4.3
Mar 12  - 16  
Spring Break!
M  Mar 19
Section     4.4
W Mar 21
Section     4.5
F  Mar 23
Section     4.7
M  Mar 26
Review  for Midterm II
W  Mar 28
Section     4.9
F   Mar 30
Section     4.10
M  Apr 2
Section     5.1
W  Apr 4
Section     5.2
F   Apr 6
Section     5.2
M  Apr 9
Section     5.3
W  Apr 11
Section     5.4
F   Apr 13
Section     5.5
M  Apr 16
Section     5.6
W  Apr 18
Section     6.1
F   Apr 20
Section     6.2
M  Apr 23
Review for  Midterm III
W  Apr 25
Section     6.2
F   Apr 27
Section     6.3
M  Apr 30
Section     6.5
W  May 2
Review of Chapter 6
F   May 4
Review of Chapters 2-5
M  May 7
Final Exam, 1:30-4:30 pm, Smith Hall 100

Homework Assignments and Exam Dates

Practice Midterm Exam 1 with (very brief)  answers  (pdf file)

Practice Midterm Exam 2 with (very brief)  answers  (pdf file)

Practice Midterm Exam 3 with (very brief)  answers  (pdf file)

The Mean Value Theorem, Extended Mean Value Theorem and L'Hospital's Rule

Newton's Method and the Mean Value Theorem