Math 100 (Calculus I), Section 106, Fall 2007 Math 100 (Calculus I), Section 106, Fall 2007| 11/28: | Exam period office hours: Fri Nov 30 10-11am; Fri Dec 14 2-3pm; Mon Dec 17 11am-12noon, 3-4pm | ||||
| 11/28: | The last class (Fri Nov 30) will include a review, concentrating on the Dec 06 final exam. Please come prepared with questions about this or any other part of the course. | ||||
| 11/28: | Please familiarize yourself with UBC's Rules Governing Examinations. These rules will be strictly enforced. | ||||
| 11/25: | Very detailed information about the final exam is available here! Read carefully! | ||||
| 11/21: | Policy on re-marking | ||||
| 11/14: | Information about the final exam | ||||
| 11/5: | Graph of sin(x) and the first few Taylor polynomials | ||||
| 11/5: | A few of the Review questions have been removed - you don't need to know about sinh and cosh. | ||||
| 11/2: | Course notes correction: Section 2 Exercise 4, "x>-1" should be "x>0" | ||||
| 10/31: | Midterm 2 review questions | ||||
| 10/29: | Sample midterm 2 added | ||||
| 10/15: | Midterm 1 solutions and results
| 9/28: | Review questions and information about midterm
| 9/26: | Sample midterm added
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| A E Holroyd | Office: Math Annex (MATX) 1210 |
| Email: holroyd at math dot ubc dot ca | Phone: 604 822 6532 |
| Lectures | Mon,Wed,Fri 2:00-2:50pm | BUCH A203 |
| Quizzes | Fridays in class | |
| Office hours | Mon 3-4:30; Wed 11-11:50; | MATX 1210 |
| Drop-in tutorials | MSRC 3 |
| First lecture | Wed Sep 5 | |
| 1st midterm exam | Fri Oct 5, 2-3pm | HENN 202 |
| Holiday (no lecture) | Mon Oct 8 | |
| 2nd midterm exam | Fri Nov 9, 2-3pm | HENN 202 |
| Holiday (no lecture) | Mon Nov 12 | |
| Last lecture | Fri Nov 30 | |
| Final exam | Tue Dec 18, 8:30-11am | GEOG 100 |
| Final exam (common to all sections) | 50% |
| 1st midterm exam | 20% |
| 2nd midterm exam | 20% |
| Quizzes | 10% |
Midterm 1 will cover up to and including Section 3.3 (derivatives of trigonometric functions).
Sample Midterm 1 is available here. Ours will be similar in style (Math 180 has the same syllabus as Math 100). (Note that 1(g,h),3 use the chain rule, which will not be covered in our midterm 1)
Suggested review problems (do as many as you feel appropriate): all questions here that we haven't done already (up to 3.3). Chapter 2 review exercises: #1-20,22-24,29-48,51-52; Chapter 3 review exercises: #6,8,14,23,52,54,60,61,65,79ab,84,85,106,108
Midterm 1 Solutions
Class scores (out of 48; each vertical bar represents one student.)
Midterm 2 will focus on the material from Section 3.4 (chain rule) up to the end of the course notes on Taylor series. (Of course you still need to know the earlier material as well).
Suggested review problems (do as many as you feel appropriate): all questions here that we haven't done already. Chapter 3 review exercises: #1-42, 44,46,49-59,66-81,83-112 [43,45,47,48 removed]. Chapter 11 review exercises: #45-54(ignore "radius of convergence"),57-60(ignore "alternating series test"),62
Sample Midterm 2 is available here. (We have not covered 1c).
Midterm 2 Solutions
Class scores (out of 42; each vertical bar represents one student.)
Re-marking for midterm 2: Please check the addition and marking on your midterm carefully. If you feel there has been an error in the marking you can submit your paper to be re-marked. Do not mark your paper in any way. Write down in at most 4 lines where the problem is on a separate piece of paper, and submit it together with your midterm no later than 5pm on Monday Nov 26. No re-marks will be possible after this date.
Final exam will cover the entire course.
From the all-sections web page: At least 2/3 of the questions on
the common final exam will be similar to the suggested homework
problems. The final exam will be similar in content and difficulty to
recent old
final exams. More information here.
The UBC Math Club (in Math Annex) sells a package of
5 recent final exams together with solutions, for $5. These packages
are on sale during the last week of classes: Wed 10am-3pm, Thur
12:30-2pm, Fri 10am-1pm.
Suggested review questions: all the earlier ones and these, plus: Chapter 4 review exercises: #1-6,8,9,15-34,45-67,69-82
Doing lots of problems is the only good way to learn the material. There are many more problems in the textbook if you need more practice. Solutions to odd-numbered problems are provided in the back of the book, and fully-worked solutions are available in the Student Solutions Manual. You should try hard to do the problems yourself before consulting the solutions. Working together on homework is encouraged, but afterwards you should work through solutions on your own.
Course notes on Taylor polynomials These notes are available here or in the special edition of the textbook. They cover what we need to know on Taylor polynomials for this course. Solutions to odd numbered problems are available here. (Chapter 11 of the book contains a more advanced treatment). In the version of the notes in the textbook, there are a few places where equations are referred to as “(??).” All of these references are to the immediately previous numbered equation. The formula (4) at the bottom of p. 5 has a typo: “x^n” should be “(x–a)^n.” Also, “R_n” on lines 3, 5, and 7 on p. 7 should be “R_1.”. In Section 2 Exercise 4, "x>-1" should be "x>0".
The following schedule is provisional until the Wednesday before each quiz.
| Sec 2.1: #3,5; Sec 2.2: #7,9,12,15,19,25; Sec 2.3: #1,15,23,25,27,37,47,48,49a,61; Ch 2 Problems Plus: #2,9 | |||||||||||||||
| Quiz 1, Fri Sept 14. Grading scheme: (1): 3; (2): 3; (3): 1.5+1.5+1 | |||||||||||||||
| Sec 2.5: #3,7,17,35,41,45(added),49,65; Sec 2.6: #3,7,17,25,31,57; Sec 2.7: #7,13,17,19,21,33,45ab,51; Ch 2 Problems Plus: #7 | |||||||||||||||
| Sec 2.8: #1,3,5,9,11,15,25,27,35,41,53; Sec 3.1: 9,11,15,23,25,31,35(read pp175-6 example 3),45,49,51,59,61,63,67,75 | |||||||||||||||
Quiz 2, Fri Sept 28
| Sec 3.2: #3,5,7,11,23,25,31,41,42,47,49,55; Sec 3.3: #5,9,11,19,21,35,37,39,45; Ch 3 Problems Plus: #1,8,11
| MIDTERM 1, Fri Oct 5
| Sec 3.4: #5,9,13,19,25,31,41,45,49,59,61,70,75,94; Sec 1.6: #17,23,25,29,33,37,57,59,61,63,65; Ch 3 Problems Plus: #14
| Quiz 3, Fri Oct 12
| Sec 3.5: #3,7,11,15,21,29,35,39,41,45,53,61,67; Sec 3.6: #3,7,11,17,21,26(simplify),29,39,47,50,53
| Sec 3.7: #3,5,7,13,21ab,31(added),33; Sec 3.8: #3,5,7,9,11,13,17; Sec 3.9: #5,9,13,15,23,27,33,39,44(answer: decreasing at 18.6 mm/hour)
| Quiz 4, Fri Oct 26
| Sec 3.10: #3,11,17,21,23,27,33,39,43; Course notes 1: #1,2,3,4,5; Course notes 2: #1,2,3,4; Course notes 3: #1,2,3,4,5,6; Sec 11.11: #37; Ch 11 Problems Plus: #1, [#22 - optional, for enthusiasts!]
| MIDTERM 2, Fri Nov 9
| Sec 4.1: #9,11,21,23,27,33,34(critical numbers means points where the derivative is either zero or does not exist),39,51,53,57,59,61,75; Sec 4.2: #5,7,11,15,17,23,29,30,35
| Sec 4.3: #5,7,11,15,17,21,25,35,41,51,67,81; Sec 4.5: #7,17,19,27,37,41,49,59,65,67
| Quiz 5, Fri Nov 23
| Sec 4.7: #11,13,19,25,31,37,46(answer theta=pi/6),49,67,70(answer x=sqrt[d(h+d)])
| Sec 4.8: #1,5,11,19,31,37; Sec 4.9: #3,5,9,19,27,31,37,43,57,67(assume the acceleration due to gravity is 32 ft/s^2),73,77
| THE END!
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