CALCULUS I
FALL 2003
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from 7:00 p.m. to 10:00 p.m. in ESC room C215. Please make sure you know where this room is before the day of the exam and please be on time. The Math Department recognizes that students who have a T Th 8 a.m. class other than Math 112 have a different final scheduled for this same time. These students will be given an alternate time to take the final. Please contact me immediately if you are a student with this conflict so that the Department can give you an alternate time to take the final. If you are taking both Math 112 and 113, you will also be given an alternate time for one of the exams. |
| SU | MN | TU | WD | TH | FR | ST | |
| September | 31 | 1 | 2 | 3 | 4 | 5 | 6 |
| 7 | 8 | 9 | 10 | 11 | 12 | 13 | |
| 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
| 21 | 22 | 23 | 24 | 25 | 26 | 27 | |
| October | 28 | 29 | 30 | 1 | 2 | 3 | 4 |
| 5 | 6 | 7 | 8 | 9 | 10 | 11 | |
| 12 | 13 | 14 | 15 | 16 | 17 | 18 | |
| 19 | 20 | 21 | 22 | 23 | 24 | 25 | |
| November | 26 | 27 | 28 | 29 | 30 | 31 | 1 |
| 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| 9 | 10 | 11 | 12 | 13 | 14 | 15 | |
| 16 | 17 | 18 | 19 | 20 | 21 | 22 | |
| 23 | 24 | 25 | 26 | H | H | 29 | |
| December | 30 | 1 | 2 | 3 | 4 | 5 | 6 |
| 7 | 8 | 9 | 10 | 11 | R | R | |
| 14 | F | F | F | F | F | 20 |
COMPUTER RESOURCES
There is a website where you can find sample questions for the pretest. It will help you know what you need to review:
There is also a Math Refresher Course offered by the College of Engineering&Technology
MWF 4:00-4:50 p.m. in 406 CB
This non-credit course taught by Dr. Reinhard Franz is available to all interested students.
First 3 lectures will include Basic Technique of Algebra and Trigonometry
comtact Dean's Office (270 CB or 422-4326) for more information
OFFICE HOURS
TuTh 7-8 p.m. TMCB 136 (after class)
To be determined, Clyde Building 131,133
or by appointment
| day # | date | read | homework problems |
| 1 | Sep 2 | 1.1 | read "To The Student", pp. ix-xi 1.1: 4b(ii),6c,7a,11abcdfgh,13abc,14a |
| 2 | Sep 4 | 1.2 1.3 | 1.2: 1,2,7,9,10,14,17,27abdf,28ad 1.3: 2ad, 3abcdef, 5, 6a, 11, 12, 17, 24abc |
| 3 | Sep 9 | 1.4 1.5 | 1.4: 2,3,4ab,5,7ac,8adf,9abde 1.5: 1a-e,2bd,3,4,6ab,8ak,9abc,13afg |
| 4 | Sep 11 | 1.6 1.7 | 1.6 1cf,5,6d,9,10,16,20 1.7 1ac,2ade,5,6,8 |
| 5 | Sep 16 | 1.8 1.9 | 1.8: 1acf,3acf,5,8,10,14abc,22,29ac 1.9: 1abcdhj,4a,6abd,9ab,11ace,15a,17 |
| 6 | Sep 18 | 2.1 2.2 | 2.1 1,2ab,4,5abc,6abcde,13,16 2.2 1,2,3,5ac,6a |
| 7 | Sep 23 | 2.2 2.3 | 2.2: 6cd,11,14,16abcde,17 2.3: 1bfj,2bcfghi,3,4,5,6 |
| 8 | Sep 25 | 2.4 | TEST #1 2.4: 1aefgkt,2abeij,3abcd,5,7 |
| 9 | Oct 2 | 2.4 2.5 | 2.4: 10,11,12,13 2.5: 1acfhl,3,5be,8bd,9bcd,11cdf,12ac,13c,14b |
| 10 | Oct 7 | 3.1 | 2.8: 7acgjkn,8efgikmnp,9bcdf,12 3.1: 1abcd,2cd,3e,4bc,5ab,6abc,15be |
| 11 | Oct 9 | 3.2 3.3 | 3.2: 1acfhjl,2acegi,3a,4ae,5c,6bd,7bd,8ab,9,17,20,21 3.3: 1,3acdghi,4aei,5abd,6,7,10,11,13b,14abc,15af,18 |
| 12 | Oct 14 | 3.4 3.5 | 3.4: 3abcefghijkl,4ael,5ce,6b,7,8,9,15,18 3.5: 1bcfi,2e,3cefgh,7abc,8ad |
| 13 | Oct 16 | 4.1 | TEST #2 4.1: 1,2,3,5,6,10acegk,11bf |
| 14 | Oct 21 | 4.2 | 4.2: 1abcdefgiko,6,8ac,9,11ab,18a, 23,13bceghlno,15,16abc,2cd,4ab |
| 15 | Oct 23 | 4.3 4.4 | 4.3: 1bfjn,2abce,3,4,6,7 4.4: 1,3,5,7,9,10,13 |
| 16 | Oct 28 | 4.4 4.5 | 4.4: 20,25,26,28,31,34 4.5: 1abcde,3abcdef,5, 6abcde,7abc,10abcde,12 |
| 17 | Oct 30 | 4.6 4.7 | 4.6: 1,2,5,6,9,10,13,14,19 4.7: 2,6,11,14,17,18,22,26,27 |
| 18 | Nov 4 | 4.8 | 4.8: 1,2,5,6,9,10,13,14,19 4.10: 2,3,5,7,8acegi,9,10, 11,14,19,20,25,30,31,32 |
| 19 | Nov 6 | 4.9 | TEST #3 4.9: 2abcde,4bcg,5a,6 |
| 20 | Nov 11 | 5.1 | 5.1: 1bc,2bdfh,3afgh,4bdegh,5bch,6,8ce, 9ad,10,11,15,17,18,20,23,25 |
| 21 | Nov 13 | 5.1 5.2 | 5.2: 2ace,3ab,5,9,13,15 5.3: 3,4,5,7,11,13abc,15,16,18abcde |
| 23 | Nov 18 | 6.1 | 6.1: 1abcdefg,2abcde,4ad, 5ab,7,8abc,9 |
| 24 | Nov 20 | 6.2 6.3 | 6.2: 1,4abc,5abcde,8abcdefg,10ac,11cd,14 6.3: 1acd,2bcdf,3bc,7,8,9 |
| 25 | Dec 2 | 6.5 6.6 | 6.5: 1bdfhjl,2bdfhjl,3bdf,4bc,5bce,7a,8,10 6.6: 1bcdejl,2abcegk,3abcefghk,4bc,5,6bcd,11,13 |
| 26 | Dec 4 | 6.7 | 6.7: 1aefghl,2abcdefghj,3abdghijklm,4abde,5bcd,6,11 |
| 27 | Dec 9 | 6.8 | TEST #4 |
| 28 | Dec 11 | Review | |
| Dec 12 | Review | 4:00-6:00 p.m. optional review session | |
| Dec 13 | Review | 10:00-12:00 a.m. optional review session | |
| Dec | Review | mathlab review session Wed. Dec. 10th 6-8 pm 446 MARB Fri. Dec. 12th 10am-12pm W111 BNSN Both reviews taught by Marcus Urie | |
| December 16 7-10p.m. |
| no books, no notes, no calculators PREVIOUS FINALS REVIEW PROBLEMS |
TEXTBOOK ERRATA
If you find an error that the author has not discovered,
you will win a candy bar for bringing it to his attention!
(click on the errata link)
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1. The format will be the same as last winter semester's final. There will be 7 multiple choice questions worth 4 points each and 12 problems requiring hand written solutions worth 6 points each. The answers to the multiple choice questions must be entered on the bubble grid on the first page of the exam. 2. The instructions for the 12 problems requiring hand written solutions will say "give the best answer and justify it with suitable reasons and/or relevant work." This is something students should have been doing all semester, but here are some examples you can tell your students to clarify this. a. Answers like tan (pi/4), ln 1, e0 would not be considered the best answer. b. On the other hand, because students may not use calculators on the final, on problems such as exponential growth and decay in chapter 5, students will have to leave answers in terms of logs since they cannot reasonably change such answers to a decimal. c. In solving a max-min problem, students should also justify that a critical point is a maximum or minimum by the first derivative test, the second derivative test, or by evaluating the function at all critical points and endpoints. d. If they are doing a problem by L'Hospital's rule, they should first note that the problem is an indeterminate form, e.g., 0/0, and then state they are using L'Hospital's rule. e. For rules in constant use, such as the differentiation formulas, the fundamental theorem of calculus, etc., there is no need to specifically cite the rule they are using. Students may check the solutions to last semester's final on the web to see a few examples of what would be sufficient justification and work. 3. Previous finals may be found under Exams at http://www.math.byu.edu/Courses/ We aren't going to say any more about content than this except students should expect some problems using the definition of limit and theorems about limits. 4. You may want to know about formulas students should know for the test. They should know all basic differentiation and integration formulas, power rule, product rule, quotient rule, chain rule, basic antiderivatives at the beginning of chapter 6, all key theorems (extreme value, intermediate value, Rolle's, mean value theorem, fundamental theorem of calculus, etc.), the formula for Newton's method, and rules for numerical integration. We only thought of a few exceptions: We do not expect them to memorize Cauchy's mean value theorem, Newton's law of cooling, the formula for the logistic curve, or Simpson's rule as they are a little harder to remember. We prefer not to write a comprehensive list because we might forget something they should know, but will be glad to answer specific questions. 5. Please emphasize that they remember to use the chain rule, to add a constant when finding indefinite integrals, and most importantly make sure they do not integrate when they are supposed to differentiate and that they do not differentiate when they are supposed to integrate. 6. Students will receive credit for any correct method for doing a problem. For example, in the early sections of chapter 6, definite integrals are calculated several different ways before the section on the fundamental theorem of calculus. So there are several integration problems that can be done in more than one way. |