Differential Calculus with Applications
Fall 2002
Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario M3J 1P3
| AS/SC/AK/MATH 1300
3.0 B
Differential Calculus with Applications Fall 2002 |
|
|
Department of Mathematics and Statistics |
|
| Preliminary Final Grades for the course are now available. | |
| Click to view Solutions to the Final Exam in PDF format. | |
HAVE A NICE HOLIDAY! |
|
| September 9: | Welcome back! |
| September 14: | Quiz 1 will be held in class on Thursday, Sep 19 at 11am. |
| Coverage for the quiz is Sections 1.2 and 1.3 form the text. | |
| Math Lab will be open from Tuesday, Sep 17. Hours of operations are: | |
| 10:30am -- 3:30pm, Monday trough Friday. | |
To view and/or print PDF files you need to
download the free Acrobat Reader  |
|
| September 24: | I am making available answers to Quiz 1. |
| Click to view answers to version A and version B in PDF format. | |
| Click to view answers to version A and version B in the postscript format. | |
| Quiz 1 will be returned on Thursday, Sep 26 at the end of the class. | |
| September 28: | Midterm Test 1 will be held in class on Thursday, Oct 03. |
| Coverage for the test is Sections 1.2, 1.3, 1.4 and 1.5 from the text. | |
| October 08: | Quiz 2 will be held in class on Tuesday, Oct 15 at 11am. |
| Coverage for the quiz is Sections 1.6 and 2.2 form the text. | |
| I am making available Solutions to Midterm Test 1. | |
| Click to view solutions to White Test and Green Test in PDF format. | |
| October 09: | Midterm Test 1 will be returned on Thursday, Oct 10 at the end of the class. |
| October 19: | I am making available Solutions to Quiz 2. |
| Click to view solutions to White Quiz and Blue Quiz. | |
| Quiz 2 will be returned on Thursday, Oct 24 at the end of the class. | |
| Quiz 3 will be held in class on Thursday, Oct 24 at 11am. | |
| Coverage for the quiz is Sections 2.3 and 2.4 form the text. | |
| October 26: | Midterm Test 2 will be held in class on Thursday, Oct 31. |
| Coverage for the test is Sections 1.6, 2.2, 2.3, 2.4, 2.5 and 2.6 from the text. | |
| October 28: | Quiz 3 will be returned on Tuesday, Oct 29 at the end of the class. |
| I am making available answers to Quiz 3. | |
| Click to view answers to White Quiz and Pink Quiz in PDF format. | |
| November 02: | I am making available Solutions to Midterm Test 2. |
| Click to view solutions to White Test and Pink Test in PDF format. | |
| November 09: | Midterm Test 2 will be returned in class on Tuesday, Nov 12. |
| Quiz 4 will be held in class on Tuesday, Nov 12 at 11am. | |
| Coverage for the quiz is the material on curve sketching from | |
| Section 2.6 (page 171-177) and Section 2.7 of the text. | |
| November 15: | I am making available Solutions to Quiz 4. |
| Click to view solutions to White Quiz and Yellow Quiz. | |
| The quiz sheets will be returned on Tuesday, Nov 19 at the end of the class. | |
| November 16: | Midterm Test 3 will be held in class on Thursday, Nov 21. |
| Coverage for the test is Sections 2.7, 2.8, 2.9, 2.10 and 2.12 from the text. | |
| November 26: | Final Examination for the course will be held on Friday, December 13 from 12:00 |
| to15:00 in SFH. Click to view Information Sheet about the final exam. | |
| Quiz 5 will be held in class on Thursday, Nov 28 at 11am. | |
| Coverage for the quiz is Section 3.2 from the text. | |
| November 27: | Midterm Test 3 will be returned in class on Thursday, Nov 28. |
| I am making available Solutions to the test. | |
| Click to view solutions to White Test and Green Test in PDF format. | |
| Click to view solutions to White Test and Green Test in postscript format. | |
| Click to view solutions to White Test and Green Test in HTML format. | |
| November 28: | Review class for the course will be on Tuesday, Dec 3rd from 10:30 to 11:20am |
| in SSB 038. | |
| December 02: | I am making available Solutions to Quiz 5. |
| Click to view solutions to the quiz in HTML format. The quiz sheets will be returned | |
| at the end of the review class on Tuesday, December 03. | |
| December 03: | The Math Lab will be open until December 9. Click the Math Lab for the details. |
| I will keep office hours from 2 to 4pm on Friday, December 6th and | |
| from 2 to 3:30pm on Tuesday, December 10. | |
| Course: | Session: | Fall 2002 |
| Section: | B | |
| Lectures: | T/R 10-11:20am, CLH B | |
| Instructor: | Name: | Iulduz Raguimov |
| Office | S512 Ross | |
| Office Hours: | T 2-3:30pm, F 3-5pm or by appointment | |
| Email: | raguimov@mathstat.yorku.ca | |
| Grading | Five Quizzes | 20% |
| Three Midterms | 15% for each test | |
| Final Exam | 35% |
Course Description: Calculus is the study of functions. Differential calculus studies the tangent lines to their graphs while integral calculus studies the areas under their graphs. Limits are used to define the derivative and integral. We will develop formulas for computing derivatives. Consequences of the Mean Value Theorem will be used to find local extrema and to sketch curves. Applications of the derivative will be made by interpreting it as a rate of change. The Fundamental Theorem of Calculus will be used to evaluate integrals, and integrals will be applied to compute areas. Other applications of integrals will be studied in Math 1310. A more detailed list of topics is contained in Course Schedule.
| Textbook: | Single Variable Calculus: Concepts, Applications and Theory |
| by Stanley O. Kochman | |
| Prentice Hall, 2002. ISBN 0-13-039909-4 | |
| Optional Aid: | Student Manual for Math 1300 |
| by V. Mishkin | |
| contains solutions to all the Basic Exercises of the sections covered in Math 1300. | |
| Course Prerequisites: | AS/SC/MATH1515 3.0 or AK/MATH 1710 6.0 or OAC Calculus or equivalent |
| Degree Credit Exclusion: | AS/SC/MATH 1000 3.0, AS/SC/MATH 1013 3.0, AS/SC/MATH 1505 6.0, AS/MATH 1530 3.0, |
| AS/AK/MATH 1550 6.0, AS/ECON 1530 3.0, AK/MATH 1410 6.0. | |
| Important Dates: | September 20: Last date to enroll in the course without permission of the course instructor. |
| October 04: Last date to enroll in the course with permission of the course instructor. | |
| November 08: Last date to drop the course without receiving a final grade. | |
| December 03: Last day of classes. | |
| December 05: Examinations Start. | |
| December 20: Examinations End. | |
(subject to change)
| WEEK | SECTIONS | COMMENTS |
| Sep 9-13 | 1.2, 1.3 | Lectures begin Tuesday, September 10 |
| Sep 16-20 | 1.4, 1.5, Quiz 1 | |
| Sep 23-27 | 1.5, 1.6 | |
| Sep 30-Oct 4 | 1.6, 2.2, Midterm 1 | Midterm 1: Thursday, October 3, in class. |
| Oct 7-11 | 2.2, 2.3 | |
| Oct 14-18 | 2.4, 2.5, Quiz 2 | |
| Oct 21-25 | 2.5, 2.6, Quiz 3 | |
| Oct 28-Nov 1 | 2.7, Midterm 2 | Midterm 2: Thursday, October 31, in class. |
| Nov 4-8 | 2.7, 2.8 | |
| Nov 11-15 | 2.9, 2.10, Quiz 4 | |
| Nov 18-22 | 2.12, 3.2, Midterm 3 | Midterm 3: Thursday, November 21, in class. |
| Nov 23-29 | 3.2, 3.3, Quiz 5 | |
| Dec 3 | Review | Lectures end Tuesday, December 3. |
| Dec 5-20 | Final Examination: Friday, Dec 13, 12:00-15:00, SFH. |
Note that we will not cover all the sections of each chapter.
STATUTORY HOLIDAYS: Monday, September 16 and Monday, October 14.
| Chapter 1: | Section 1.2 | Exercises: 2, 3, 4, 5, 7, 8, 10, 11. |
| Section 1.3 | Exercises: 1, 2b,c, 4b,e, 5, 6a,e, 7a,c,e. | |
| Section 1.3 | Exercises: 1, 2b,c, 4b,e, 5, 6a,e,7a,c,e. | |
| Section 1.4 | Exercises: 1, 2, 3a,b, 4a,f,h, 5c, 7a,e,f, 12, 13, 14b. | |
| Section 1.5 | Exercises: 1, 2a,b,d,e,f,h,i,j, 3b,c,d,g,i,k, 5a,b,d,e, 6b,c,f, h, k. | |
| Section 1.6 | Exercises: 1, 2a,b,e, 3a,d, 4a,c, 5, 6a,c, 7a, 8, 9. | |
| Chapter 2: | Section 2.2 | Exercises: 1a,d, 2a,d, 3b,d, 4b,e, 5b,d, 7, 8a,c,f, 9a,c,g, 10a,c,e,f,h,i. |
| Section 2.3 | Exercises: 1a,h,i, 2b,e, 3a,e, 4b,d,e. | |
| Section 2.4 | Exercises: 1a,d,h, 2a,d,f, 3b, 4a,d, 5a,b,e, 6a,b,d, 7a,b, 8a,b. | |
| Section 2.5 | Exercises: 1a,c,e,j, 2a,b,c, 3a,b,d,e 4a,c, 5. | |
| Section 2.61 | Exercises: 1c,d, 2a,b, 3a,c, 4, 5a,e, 6a,c,f,j, 7a,b,e,h,i,k. | |
| Section 2.7 | Exercises: 1a,d, 2, 3a,d, 4a,c, 5b,g,h, 6, 7a,f,h,i, 8a,g,h,v,x,y, aa. | |
| Section 2.8 | Exercises: 1a,e, 2, 6, 7, 12, 13, 18, 19, 22, 23. | |
| Section 2.9 | Exercises: 1, 8,11a,b,d,h, 12a,d, 13, 16, 18. | |
| Section 2.10 | Exercises: 1a, 4, 12, 15, 16, 17, 20. | |
| Section 2.12 | Exercises: 1a,b,e, 2a,e,h, 4a, 6, 11, 12, 14. | |
| Chapter 3: | Section 3.2 | Exercises: 1a,e, 2a,g, 3a,g, 4a,c,g,k,n,p, 5a,d, 6a,c,d, 7a,b. |
| Section 3.3 | Exercises: 1a, 2a,e,i, 3b,e,f,j, 4b,g,i, 5d,f, 6b,f,i, 7a,d,e, 8e. |
It is extremely important that students
complete all these Homework Problems. Since mathematics is a subject where mastery
of previous material is essential in order to understand current topics,
successful students must keep up to date in the course and seek help for points
they do not understand as soon as possible.
The homework problems are given but solutions will not be collected for grading.
Problems on the quizzes, tests and examination will be
typical to the homework problems and solving them is an important part of
preparing for these exams.
To see hints to solve homework problems, click
here.
Help with problem solving is available in the Math Lab, Room S525 Ross. This
service will begin the second week of classes.
For hours of operation click Math
Tutorial Lab
QUIZZES: There will be five quizzes. Four best quizzes out of five will count
as 20% of your final grade. The format of the quizzes will be announced in
class.
MIDTERMS: These are three 50 minute written midterm tests, each worth 15% of the
final grade, held in the lecture period on Thursday, October 3, on Thursday
October 31 and on Thursday, November 21.
FINAL EXAMINATION: This will be a 3-hour exam worth 35% of the final grade
scheduled by the Registrar's Office.
Note: All
tests and exam will be strictly closed book. Any
form of academic misconduct will be handled in accordance with the Senate
Policy on Academic Honesty. Photo identification, and signing-in is required at
all tests and
examination.
There are no make up tests. Missed
tests will be counted as zero,
except under extreme circumstances. If
an acceptable reason, with appropriate documentation, is given for having missed a
test, the final exam will be used for the missing grade. Students who are
absent by virtue of illness for a final examination must apply formally for a
deferred exam through the Registrar's Office.
To see sample final exam, midterm tests and quizzes from the previous year, click
here
York University is committed to respecting the religious beliefs and practices of all members of the community and making accommodations for observances of special significance to adherents. If any of the dates specified in the course schedule for in-class tests pose such a conflict, students should contact me within the first two weeks of lectures. Please note if the final examination date poses a conflict, students must complete an Examination Accommodation Form, which can be obtained from the Registrar's Office.
The course web page will be up-dated regularly to include important
announcements made in class, such as the material to be covered on the tests. E-mail
notes requesting such information contained on the web page will not be answered.
Individual questions can be discussed by e-mail or in person after class or
during office hours.
2- York
Undergraduate Math Program
Questions and comments regarding this Web site please send to raguimov@mathstat.yorku.ca