Mth 132 Section 2 - Calculus I

Mth 132 Section 2 - Calculus I
Fall Semester 2002

Lectures: MWF 9:10-10:00am, C108 Wells Hall

Office: A337 Wells Hall

Office Hours: MW 10:00-11:00am

Tel: 353-6332

If you have any questions, please ask me either during class time or during office hours. I prefer this over email except in case of emergency.

Textbook: Calculus by G. Thomas andR. Finney, 9th edition

Syllabus: (with approximate number of lectures)

Chapter 1 (5 lectures): 1.1, 1.2, 1.3, 1.4, 1.5

Chapter 2 (9 lectures): 2.1, 2.2, 2.3, 2.4, 2.5, Supplement(2.6), 2.7

Chapter 3 (10 lectures): 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8

Chapter 4 (10 lectures): 4.1, 4.2, 4.3, Supplement (for 4.4,4.5), 4.6, 4.7, 4.8

Chapter 5 (1 lecture): 5.1

Homework: Each week homework will be assigned based on the material covered that week. These will be collected at the beginning of class each friday (except exam weeks).

Gateway Exams: In addition to the midterm exams andhomeworks, you are expected to take and passtwo Gateway Exams (I and II) which test essential skills for the course and are administered by the Math Department.These exams are designed to encourage students to take responsibilityfor learning essential skills such as algebraic manipulation,differentiation, and integration. The idea is that you should havesufficient skills to ensure success in the subsequent segments of thecourse. The two exams cover algebraic manipulation anddifferentiation respectively. These are graded on a right-wrong basis, with nopartial credit available. Passing is based on getting all but one ortwo problems right (out of about 8 problems). The problems arestraightforward, and involve no story problems. You may repeat the tests as often as you like (within some time constraints) butmay not repeat a test on the same day. The tests are computer generatedfrom a large pool of questions, so it is very likely that no two tests arethe same, although a student taking the test often may see some of the samequestions. You should take these tests because they count for 5%(2.5% each) of your total grade for the course. To receive credit forthe first one you have to pass it BEFORE Saturday September 28. Afterthat, to receive credit for the second one you have to pass it BEFORESaturday, OCTOBER 26. These will be given between the following dates:

Gateway I: Wednesday, September 4 - Friday, September 27

Gateway II: Monday, September 30 - Friday, October 25

Here are the locations and times for the Gateway exams:

Monday: 8-10am C310 WH

Tuesday: 8-10am C110 WH, 12:30-4:30pm C213 WH

Wednesday: 8-10am C210 WH, 3-5 pm C314 WH

Thursday: 8-10 am C307 WH, 2-5pm C109 WH

Friday: 9am-12noon C208 WH, 2-5 pm C310 WH

Ending times are the times when the TEST WILL END and all tests will becollected, NOT the latest time to start the test. Be sure to record your section numbers on the signup sheets in the testing room. Otherwise your results may not be recorded properly.
These rooms have limited capacity, so there may be waiting time ifa large number of students show up at once. However, no student can takemore than 30 minutes on a test so the leading waits should not exceed thattime. Tests can be repeated until they are passed but you can take thetest only once per day.

Rules of Examination:
Calculators and/or notes are not allowed during the test and nothing whichrequires a calculator is asked. Students are not allowed to resume a testif they have to leave the room.
Tests will be graded by the monitors as soon as possible after the test ishanded in. If the monitor is not otherwise busy, tests may be graded andreturned quickly. Students can always return later in the day, or the nextday to pick up their graded paper. Please note: a student who does notbelieve that a paper is graded correctly MUST NOT remove the paper from thepresence of the monitor. No appeals on the grading will be considered forpapers which the student has taken out of the testing room. Papers forwhich the grading is in dispute will be referred to a faculty supervisorfor a final judgment.
Finally, copies of a sample of the first Mth 132 gateway exam areavailable in A-313 WH.

Grading policy: Two lowest homework scores will be dropped. Homeworks are worth 100 points, three midterms are worth 90 points each and the cumulative (departmental) final is worth 200 points. Each Gateway exam is worth 15 points. So you will get a score put of 600 points at the end of the semester. Your grade will be determined from this score. After each mid-term exam I will announce the curve for THAT exam. This will help you to understand where you stand in class. However the final grade will be based on the curve which will be decided after the final exam.

Exam dates: The midterm exams will be held during class times.

First midterm: Friday, September 20. Location: C108 Wells Hall

Second midterm: Friday, October 18. Location: C108Wells Hall

Third midterm: Friday, November 15. Location: C108 Wells Hall

Final exam: Tuesday, December 10, 10:00am-12:00pm. Location: C108WH (our usual class)

Homework:

HW1 (week 1): due Sept. 6
1.1: 1, 2, 4, 5, 6, 22, 23, 24, 26, 29, 30, 32, 33
1.2: 2, 3, 4, 7, 12, 14, 16, 17, 19, 22, 25, 26, 27, 28, 38, 39, 40,43, 44

HW2 (week 2): due Sept. 13
1.3: 7, 10, 14, 31, 32, 37-41, 43, 44, 46
1.4: 1, 2, 4, 9, 10, 11, 12, 13, 14

HW3 (week 3+4): due Sept. 27
1.4: 16, 17, 18, 21, 22, 24, 25, 26, 27-32, 34, 36
1.5: 1, 2, 4, 5, 6, 14, 15, 16, 20, 22, 24, 26, 27, 29, 30, 34, 45-48
2.1: 1, 3, 6, 7, 9, 10, 11, 12, 14, 16, 17, 27-31, 41, 42, 44
2.2: 5, 6, 7, 8, 9, 11, 17, 18, 20, 21, 22, 25, 27, 28, 33, 34, 36,39, 42, 43
2.3: 3, 4, 6, 8, 9, 11, 12, 13, 14, 17, 18, 20

Exam 1 Solutions

HW4 (week 5): due October 4
2.4: Limits: 27, 28, 30, 31, 32, 34, 35, 37, 38, 41, 43-47, Problems on thesheet distributed today in class. Derivatives: 1, 4, 6, 7, 8, 10, 11,12, 13, 15, 16, 17, 19, 20, 25, 65 66
2.5: 4, 8, 9, 14, 19, 20, 22, 23

HW5 (week 6): due October 11
2.5: 24, 25, 26, 28, 29, 31, 32, 33, 35, 36, 37, 41, 43, 44, 46, 48,49, 52
2.6: 20, 21, 23, 24, 30, 32, 46, 47, 50, 51, 53, Problems 2, 4, 6 fromthe Supplemental Exercises distributed in class, Problems 1, 2, 4,7-10, 16 from the book
2.7: 2, 3, 4, 7, 10, 12, 13, 16, 19, 23, 24, 27, 32, 37

HW6 (week 7+8): due October 25
3.1: 1-4, 8, 9, 13, 14, 16, 17, 21-24, 26, 29, 31, 32
3.2: 1, 3, 4, 8, 14, 16, 17, 22, 35, 36, 37, 39, 41, 42, 44, 45

Exam 2 Solutions

HW7 (week 9): due November 1
3.3: 1, 2, 4, 7, 9, 12, 14, 17, 18, 21, 22, 24, 25, 26, 29, 33, 34,43, 44
3.4: 2, 3, 4, 8, 11, 15, 18, 19, 23, 26, 27, 28, 30, 31, 32, 33, 34,35, 38, 41, 43, 44, 48, 49, 50, 68, 70, 76

HW8 (week 10): due November 8
3.5: 1, 3, 6, 7, 10, 12, 15, 17, 20, 22, 25, 26, 27, 29, 31, 33, 34,43, 46, 47, 49, 54-57, 59, 60, 65, 66 (You may choose to not submitproblems 43, 47, 55, 57, 60 from this list. However they will beimportant for the exam.)
3.6: 3, 5, 6, 7, 8, 10, 12, 13, 15, 17, 18, 19a, 22, 23, 25, 26, 27

Examples of graphing rational functions

HW9 (week 10+11): due November 22
3.7: 2, 5, 6, 13, 14, 39, 40, 41, 45, 47, approximate the square rootof 48 and the cube root of 28.
3.8: 1, 2, 4, 5, 7, 8
4.1: 5, 7, 10, 11, 12, 13, 16, 19, 24, 26, 29, 30, 33, 35, 37, 38, 40,42, 44, 45, 49, 50, 61, 65, 68
4.2: 3, 5, 8, 11, 12, 15, 16, 23, 25, 26, 27, 29, 30, 45, 46, 49, 50
4.3: 3, 7, 10, 15, 17, 19, 22, 23, 26, 27, 28, 30, 31, 32, 33, 35, 36,38, 39, 41, 42, 45, 51, 54, 55, 56, 58, 59
Here is a set of review problems for Exam 3.

HW10 (week 12): due December 4
4.4-4.5: Read Supplemental Material Distributed in class. 1a, 1b, 1c,1f, 1g, 3, 4a, 4d, 4e, 4g, 4i
4.6: In problems 1-6 replace continuous by integrable. 1, 2, 3, 6, 8,9, 12, 15, 16, 18, 21, 27, 29, 30, 32, 33
4.7: 1, 4, 5, 7, 8, 9, 11, 14, 15, 17, 19, 20, 23, 24, 25, 26, 28, 27,29, 30, 31, 34, 35, 38, 45, 47, 48, 49, 51, 52
4.8: 3, 7, 10, 12, 13, 14, 18, 19, 20, 23, 24
Reminder: The final exam is on tuesday, December 10, 2002. Thelocation is C108 WH (our usual class room). There will be no make-upexam given unless you have three or more exams in one day. In thiscase, you should let people in A212 Wells Hall know no later than 12pm, friday, December 6. You will need to present a recent copy of yourschedule.
Another reminder: The final exam is in a little over twoweeks. It will cover the entire semester. So now is the best time tostart reviewing. You should practice hw problems starting withlimits. Make sure you are familiar with all types of problems fromeach section. Best wishes.

The Spring 2001 sample final exam can be found on the mathematicsdepartment webpage, under the section for Current Students. Here aresolutions for this exam. .psfile or .pdffile

Here are solutions for the review problems distributed inclass. Solutions for review problems in .ps format and in .pdf format .