AS/SC/AK/MATH  1300 3.0 B

Differential Calculus with Applications

Fall 2002

 

 

 

Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario  M3J 1P3


Course Organization:

Announcements

Course Information

Course Schedule

Homework Problems

Math Lab

Exams  Information 

Links & Other Resources

 


Announcements

This area will contain announcements. Please take a minute to read the announcements carefully, as they often get updated. You may need to Reload/Refresh this page.
 

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 Information

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.

Course Schedule

(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.


Homework Problems 

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.


Math Lab

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

Exam Information

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


Religious Observance

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. 

Communication 

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.


Links and Other Resources

1-   Links to Calculus sites

2-   York Undergraduate Math Program


Questions and comments regarding this Web site please send to raguimov@mathstat.yorku.ca