Math 150A, Fall 2010
Single-Variable Calculus I

Lectures by Dr. SchechterExam room Recitations
Section 07, MWF
2:10-3:00 in SC 1307		SC 5211 C. Kent Section 08, Tues 2:35-3:25 in SC 1313
Section 09, Tues 4:10-5:00 in SC 1214
Section 25, MWF
12:10-1:00 in SC 1206		SC 4327 X. Chen Section 26, Tues 8:35-9:25 in SC 1120
Section 27, Tues 3:35-4:25 in Buttrick 212
Tests will be given on Thursday nights, 7:00-8:15pm, on Sept 16, Oct 7, Nov 4, Dec 2. There will be no class on the day after each of those tests (i.e., on Friday).
The final exam will be on Wednesday, December 15 at 7 p.m.

(Click on the instructors' names for additional information about those people.)


This web page is still in preparation. Additional information about the course will be posted here soon.

Answers to Test 1, page 1 2 3 4 5
Answers to Test 2, page 1 2 3 4 5 6
Answers to Test 3, page 1 2 3 4 5
Answers to Test 4, page 1 2 3 3a 4 5

Important dates for the Fall semester:
Common errors in undergraduate mathematics
Why Study Calculus - a brief history
Bartlett's lecture about exponential growth
Detailed proof of page 117 problem 37



Departmental Syllabus for Math 150A, Fall 2010


Text: Calculus: Early Transcendentals, 1st edition, by Briggs and Cochran. Should be available at school bookstore.

Prerequisite and Description: Math 150a is the first semester calculus offering 3 hours credit. Topics included are functions, limits, differentiation of algebraic and trigonometric functions, and applications of differentiation. There will be a brief review of algebra and trigonometry, but an adequate background in algebra and trigonometry is required for this course.

Review materials: A review of essential algebra and trigonometry topics can be found at http://www.math.vanderbilt.edu/~pscrooke/calculus/AT1.pdf. Copies of old tests can be found at http://www.math.vanderbilt.edu/undergrad.html

Calculators: Calculators will not be used in this course.

Classroom Policy: Students are not allowed to use electronic equipment such as cell phones, music players, or computers during class. Texting during class is not acceptable.

Honor Code: All work submitted for credit must be the student's own and is subject to the provisions of the Vanderbilt Honor Code. Details can be found at the Honor Council web site (http://mba.vanderbilt.edu/studentclubs/academic/honorcouncil/).

Accommodation Procedure: A student who needs course accommodations due to a disability, special arrangements in case the building must be evacuated, or has emergency medical information that needs to be shared with the instructor, should contact the instructor as soon as possible. Equal Opportunity, Affirmative Action, and Disability Services (2-4705 or http://www.vanderbilt,edu/ead) at Vanderbilt provides specific accommodations for students with physical or learning disabilities. Upon receiving appropriate documentation from the student, the Opportunity Development Center will make arrangements with the instructor for the accommodations.

Complaint Procedure: If at any time during the semester the student wishes to discuss class procedure, schedule, grades, or any class situation, contact the instructor during regularly scheduled office hours or via email. Both office hours and email address are given above. Any complaint that cannot be resolved directly with the instructor should be referred to the Director of Teaching (John Rafter in SC1332).

Attendance: The student who misses a class meeting is responsible for any assignments and/or announcements made. Office hours will not be utilized to re-teach material presented in class. The stated attendance policy of the College of Arts and Science applies in this course:
Students are expected to attend all scheduled meetings of classes in which they are enrolled; they have an obligation to contribute to the academic performance of all students by full participation in the work of each class. - The faculty of the College of Arts and Science recognizes that occasions arise during the academic year that merit the excused absence of a student from a scheduled class or laboratory during which an examination, quiz, or other graded exercise is given. Examples include participation in sponsored university activities (e.g., debate team, varsity sports), observance of officially designated religious holidays, serious personal problems (e.g., serious illness, death of a member of the student's family), and matters relating to the student's academic training (e.g., graduate or professional school interviews). Conflicts arising from personal travel plans or social obligations do not qualify as excused absences.
Homework: Daily homework assignments are listed on the schedule and should be completed prior to the next class. Each student should keep all completed assignments in a notebook and bring this notebook to class.

Homework Help: Individual instructors and TAs have regularly scheduled office hours to answer student questions outside of class. The Department of Mathematics also sponsors drop-in tutored study halls in the math building that will start during the second week of classes. The Tutoring Services Office of the College of Arts and Science offers free individual tutoring and other related services. Information can be found on their web site at http://www.vanderbilt.edu/cas/supportservices/tutoringservices/index.php.

Tutored study halls. The Math Department is offering a tutored study hall for Math 150a, 150b, 155a, 155b, 170, 175, starting Monday August 31. The format is this: Come to the indicated time and place, and do your math studying there. If you have a question, raise your hand. A math graduate student will be wandering the room to help individual students.

DayTimeRoomInstructor
Monday4:30-6:30 SC 1307Matt Stephenson
Tuesday4:30-6:30 SC 1307Chenxu Wen
Wednesday4:30-6:30 SC 1307Jonny Waite
Thursday5:10-7:00 SC 1312Blake Shao


Recitation Sessions: TAs will conduct the recitation hour for this course on Tuesdays. Sessions will involve answering questions over homework problems, quizzes, or tests, completing worksheets, and covering even problems. Attendance will be taken each recitation session and 1 extra credit point will be given each week for attendance and participation.

Quizzes/Graded Homework: For Dr. Schechter's classes, the policy will be as follows: There will be no quizzes. Some of the even-numbered problems will be assigned for homework for credit; they will count a total of 100 points in the grading system described below. Problems on a topic will be assigned at the end of the lecture on that topic, and the ones assigned for credit will be collected at the beginning of the following lecture. Work that is collected should be neat, easily legible, and show all steps. You are permitted to use your textbooks and calculators on all homework problems, but you may consult with other people and the internet only on problems that are not to be collected.

Tests: Four 100-point unit tests will be given during the semester. The date of each test is posted on the schedule. The lowest test grade will be averaged with the final exam percentage (if higher) for a grade replacement. Attendance on these dates is compulsory; otherwise, a grade of zero will be recorded. Any excused, documented conflict with a test date must be reported to the instructor prior to the test date. If a test is missed with an excused absence, the final exam percentage will be substituted for the missed test. If a student misses two or more tests with an excused absence, the make ups will be handled on a case by case basis.

Final Examination: A 150-point departmental comprehensive final examination will be given on Wednesday, December 15 at 7 p.m. No alternate exam will be given.

Grading Procedure: Each student will have the following six grades. The total number of possible points for the semester is 650, with a possibility of 14 extra credit points (from recitation sessions, so your total score could be as high as 664 if you do everything perfectly). Divide your total by 650 to get a percentage, which will determine your semester grade.

category points
Quizzes/graded homework 100
Test 1 100
Test 2 100
Test 3 100
Test 4 100
Final exam 150
total 650
          
60-62 D-
63-66 D
67-69 D+
70-72 C-
73-76 C
77-79 C+
80-82 B-
83-86 B
87-89 B+
90-92 A-
93-100 A


Grading Questions: Questions concerning the grading of a unit test must be written on the back of the test and presented to the instructor at the end of class on the day the test is returned. These questions will be reviewed by a committee of instructors.

Test Dates: All unit tests will be given on Thursday nights from 7:00 - 8:15pm. Test dates are given on the schedule.


Schedule of Assignments: Problems assigned for credit (last column) are due at the beginning of the next lecture (next row of chart)

LessonDateSectionsHomework problemsFor credit
1Wednesday, August 25Diagnostic Testdistributed in class 
2Friday, August 27Appendix Asee supplement6, 12, 14
3Monday, August 30Appendix A1, 2, 6, 31, 33-34 and see supplementProblem 18 from the day 1 of the "supplement" (linked above) and problems 2, 6, 34 from pages 1067-1068 of the textbook.
4Wednesday, September 1Solving Eqn/Ineq.see supplement#6, 12 from "3 Day 4 Eqns and Ineqs" in the supplement; and #30 on page 1068 of the textbook
5Friday, September 31.11, 2, 3, 5, 7, 9, 10; 21, 23, 26, 28, 30; 31, 32, 34; 47, 49, 50, 52 (no graphing); 55, 58, 73, 7430, 50, 74
6Monday, September 61.22, 3, 5-10, 17, 20, 30-32, 40, 41, 44-47, 52-5430, 40, 46
7Wednesday, September 81.3 (No logs)1, 2, 5, 6, 11-15, 17-21, 41-43, 58 and see supplement14, 18a, 42
8Friday, September 101.4 (No inv. trig.)1, 4, 5, 7, 8, 15, 17, 18, 19, 66, 67, 69, 71, 72, 75, 76 and see supplement66, 72, 76. (For #76, be sure to label the axes, and label the coordinates of a few points on the graph.)
9Monday, September 13Trig Eqns.see supplement#12, 14 in section 8.2 of the supplement
10Wednesday, September 15Review  
 Thursday, September 16Test 1 
11Friday, September 17No Class 
12Monday, September 201.3 (Logs)34-36, 41-48, 53-56, 57, 59, 61, 71, 73, 74
13Wednesday, September 221.4 (Inv. Trig.)35-40, 41-61 odd, 63-65page 33 # 44 and page 44 # 40, 58. Diagrams optional.
14Friday, September 242.15, 6, 9, 11, 17, 19, 21, 22, 24, 2510
15Monday, September 272.21, 2, 5, 7, 14, 18, 19, 21, 23, 25, 29, 31, 38, 3918, 24, 36
16Wednesday, September 292.34, 16, 19, 21, 31, 36, 41, 47, 49, 51, 55, 63, 68, 70, 75, 76, 77, 8560, 68, 76
17Friday, October 12.44, 6, 7, 9, 15, 16, 17, 19, 21, 25, 29, 33, 35, 36, 38, 39, 41, 42, 43, 45, 4710, 20, 26
18Monday, October 42.53, 5, 6, 7, 8, 12, 13, 14, 17-37 odds, 40, 43, 44, 47-61 odds, 69, 71, 7212, 28, 44. Also, bring review questions to class on Wednesday. Hint for #44: let u be the cube root of x, and factor.
19Wednesday, October 6Review 
 Thursday, October 7Test 2 
20Friday, October 8No Class 
21Monday, October 112.61, 7, 11, 15, 17, 21, 27, 28, 31, 35, 37, 44, 55, 56, 59, 60, 71, 75, 82, 91
22Wednesday, October 132.6, 2.72.6 - 46, 47, 48, 449, 52, 61, 65, 68, 77, 79, 81, 87, 93
2.7 - 1, 2, 4, 6, 7, 11, 15, 19, 33, 45		page 104 problem 48. Also, start memorizing the definition on page 107.
 Friday, October 15Fall Break 
23Monday, October 182.721, 23, 26, 32, 33, 35, 36, 37, 41, 43, 47, 49, 51, 57, 5820, 38
24Wednesday, October 203.16, 7, 15, 17, 22, 27, 37, 53, 59, 62, 63, 67, 69, 71
25Friday, October 223.1, 3.23.1 - 8, 9, 33, 39, 41, 45, 47, 51
3.2 - 7, 11, 17, 18, 19, 27, 28, 33, 34, 35, 41, 43, 49, 50-53, 58, 69		page 135 # 66 and page 143 # 28, 42
26Monday, October 253.210, 21, 23, 37, 46, 47, 65, 68, 73, 74page 143 # 38a, 52, 56
27Wednesday, October 273.310, 11, 17, 21, 27, 29, 39, 41, 45, 46, 47, 52, 53, 55, 61, 62, 69, 71, 73, 7518, 30a
28Friday, October 293.46, 9, 10, 11, 13, 17, 19, 22, 29, 35, 39, 42, 45, 53, 55, 59, 61, 65, 69, 7122, 34
29Monday, November 13.51, 4, 8, 9, 17, 23, 25, 29, 33, 34, 39, 43, 45, 51
30Wednesday, November 3Review  
 Thursday, November 4Test 3 
31Friday, November 5No Class 
32Monday, November 83.63, 6, 7, 15, 16, 19, 25, 29, 31, 41, 45, 47, 51, 53, 57, 59, 63, 70, 73, 77, 80, 81
33Wednesday, November 1030, 34, 44
34Friday. November 123.73-21 odd, 27, 31, 37, 45, 47, 51-59 odd, 67, 69, 7526, 68
35Monday, November 153.7, 3.8(continued)sec 3.8 page 199 # 16, 36, 48
36Wednesday, November 173.81, 3, 6, 7, 9, 11, 15, 19, 22, 23, 24, 27, 33, 35, 39, 41, 45, 49, 51, 54, 58, 63page 214 # 18, 24
37Friday, November 193.103, 4, 7, 11, 15, 19, 25, 29, 33, 37, 41, 44, 45(no written assignment over the break)
 November 20 - November 28Thanksgiving Break
38Monday, November 293.10
39Wednesday, December 1Review 
 Thursday, December 2Test 4 
40Friday, December 3No Class 
41Monday, December 63.92, 4, 5, 6, 9, 11, 21-27 odd, 29a, 33, 37, 41, 43, 51, 55, 59, 64, 67
42Wednesday, December 8Review 
 Wednesday, December 15Final ExamNo alternate exam will be given