Welcome to the Course Page of

SC/MATH 1014 3.0 M

Applied Calculus II

Summer 2009


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

Course Organization:

Course Information
Course Schedule
Exams  Information
Links & Other Resources


This area will contain announcements and solutions to exams. Announcements made in class will be posted here in reverse chronological order and will not be repeated in class. Please take a minute to read the announcements carefully, as they often get updated. You may need to Reload/Refresh this page.
September 10: Please click  here  to see  your final exam grade and unofficial letter grade
  for the course. Also, please note that your official grade will be sent to you
  by the Registrar's Office upon the approval by the Senate.
August 27: As it was announced in the class yesterday, Final Examination will take
   place on Monday, August 31, 2009 from 8:30 to 11:30 A.M. in ACW 206.
  On the exam you will be responsible for all the material covered in this course
  according to Course Schedule  You are permitted to bring one letter size sheet
  of notes, with anything written on both sides. No other aids are allowed. There
  will be several questions on the exam, some with a few parts. Marks for each
  question will be indicated. You have to show all your work, and you should
  explain your solutions where appropriate. Unofficial final grades for the course
  will (hopefully) be posted here by September 15.
August 24: I am making available a scanned copy of  solutions  to Test #2 questions in PDF
  format. Please note that the test papers will be returned in class on Wednesday
  August 26.
  Practice Exercises for Sections 9.6-9.9.
  9.6:  # 3, 7, 13, 15, 19, 21, 25, 29, 31, 34, 35, 37
  9.7:  # 1, 3, 5, 7, 9, 15, 19, 25(a,b), 29(a), 31, 33, 35, 36
  9.8:  # 1, 7, 11, 17, 27, 29, 34, 35, 38, 40
  9.9:  # 1, 5, 9, 11, 17, 31, 33, 37, 39, 44, 45, 49, 61.
August 18: Please click the following two links for additional information on the Harmonic
  Series and Sequences: Overhanging Stacks  and
  Harmonic numbers and the book-stacking problem by Robert M. Dickau
August 17: As it was announced in the class today, we will write Test #2 during the lecture
  period on Wednesday, August 19, 2009 in two class rooms, as follows
  - surname starting with A - K: VH C,
  - surname starting with L - Z: VH D.
  On the test you will be responsible for all the material covered in class from
  Sections 7.3-7.6, 8.1-8.4 and 9.1-9.3 of the textbook.
August 14: Please note that I will bring the course evaluation forms to the class on
  Monday, August 17. It is the time for you to be the judge. Please come
  and fill out the evaluation forms.
August 12: Practice Exercises for Sections 9.1-9.5.
  9.1:  # 3, 7, 9, 11, 13, 21, 25, 31, 33, 35, 37, 38, 39, 43, 45, 52
  9.2:  # 1, 3, 5, 7, 9, 11, 13, 17, 23, 27, 29, 33, 34, 43, 45, 46, 47, 51
  9.3:  # 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 33, 35, 36, 37, 40
  9.4:  # 1, 3, 5, 7, 13, 15, 17, 21, 27, 31, 35, 36, 39, 41, 42, 46
  9.5:  # 1, 3, 5, 11, 13, 15, 23, 25, 29, 32, 35, 37, 39, 45.
August 11: As it was announced in the class today, Test #1 papers will be returned in
  the class tomorrow.
August 10: Practice Exercises for Chapter 8.
  8.1:  # 1, 5, 7, 11, 13, 14, 15, 17, 21, 29, 31
  8.2:  # 1, 3, 6, 7, 9, 15, 17, 23, 29, 35, 43, 46
  8.3:  # 5, 7, 9, 11, 13, 17, 19, 25, 27, 35, 38
  8.4:  # 1, 5, 7, 11, 15, 29, 39, 41, 45, 47, 51, 53, 56, 57.
August 07: Practice Exercises for Sections 7.3-7.5.
  7.3:  # 1, 3, 5, 9, 10, 11, 13, 14, 19, 25, 33, 34, 35
  7.4:  # 3, 5, 9, 13, 15, 17, 18, 19, 23, 29, 33
  7.5:  # 1, 2, 5, 15,  17, 21, 27, 29, 31.
August 05: I am making available solutions to Test #1 questions in PDF format. Please
  note that the test papers will be returned in class sometime the next week.
July 29: As it was announced in the class today, we will write Test #1 during the lecture
  period on Tuesday, August 4, 2009 in two class rooms, as follows:
  - surname starting with A - K: VH C,
  - surname starting with L - Z: VH D.
  On the test you will be responsible for all the material covered in class from
  Sections 4.1-4.5, 5.1-5.4 and 7.1-7.2 of the textbook.
  Practice Exercises for Sections 7.1-7.2.
  7.1:  # 1, 4, 5, 7, 16, 19, 23, 25, 26, 29, 31, 39, 43, 45, 50, 56, 57
  7.2:  # 1, 2, 13, 14, 17, 35, 39, 41, 43, 59, 60, 66, 79, 80, 82.
July 28: Please note that this week only my Wednesday, July 29th office hour will be
  held on Thursday, July 30th from 2:30 to 3:30 P.M. Sorry for inconvenience.
July 27: Practice Exercises for Chapter 5.
  5.1:  # 1, 2 , 4, 6, 7, 9, 12, 19-21, 26, 30, 35, 38
  5.2:  # 1-16 (as many as you need), 21, 23, 24, 27, 28, 37
  5.3:  # 1-6, 19, 21, 23
  5.4:  # 2, 3, 5, 6, 13, 14, 18, 25, 30.
July 21: Practice Exercises for Chapter 4.
  4.1:  # 2 ,3, 8, 12, 13, 15, 17, 21, 24, 26-28, 35, 36, 42, 43, 45
  4.2:  # 7, 8, 11, 18, 19, 21, 32
  4.3:  # 2-36 (as many as you need), 39, 43, 45-47, 54
  4.4:  # 1-14, 15-34 and 35-58 (as many as you need)
  4.5:  # 3, 10, 15, 19, 35-44 (as many as you need), 56.
July 20: Welcome back!
  To view and/or print PDF files you can download the Acrobat Reader
  Please note that the official course textbook is "Calculus" (9th Edition) by Varberg,
  Purcell and Rigdon. Please click  here  to see Varberg 8e-9e-ET Version Table
  of Contents Comparisons.

Course Information

MATH 1014 Session: S2 2009
  Section: M
  Lectures: MTW 1:00 - 3:00 P.M., VH D
Instructor: Name: Dr. Iulduz Raguimov
  Office: S512 Ross Building
  Phone: 416-736-5250 Ext.66092
  Mailbox: N520 Ross Building
  Office Hours: WR 3:30-4:30 P.M.
  Email: raguimov@mathstat.yorku.ca
Grading: Two Tests:  30% each
  Final Examination: 40%

Course Description: This course is a sequel to MATH 1013. Topics include techniques of integration, indeterminate  forms, improper integrals, infinite sequences and series, Taylor series, numerical integration, approximations and calculus in polar coordinates. For a more detailed list of topics with references to the textbook, please see Course Schedule.


Calculus, 9th Edition

by D. Varberg,  E. J. Purcell,  S. E. Rigdon  
Prentice Hall, Inc. ISBN 0-13-146968-1
Optional Aids: Student Solutions Manual.
Course Prerequisite: SC/MATH 1013.03 Applied Calculus I. This is essential.
If you failed MATH 1013, then you should retake it Fall Term and
  take MATH 1014 in the Winter.
Course Credit AS/SC/MATH 1010 3.0, or AS/SC/AK/MATH 1310 3.0,
Exclusions: or AS/SC/MATH 1505 6.0.
Important Dates: July 20: Classes commence
July 28: Last date to enrol in the course without my permission
August 05: Last date to enrol in the course with my permission
August 16: Last date to withdraw from the course without receiving a final grade
August 26: Last day of classes
August 29-31: Examination period.

Course Schedule

(subject to any changes announced in class)



July 20-24 Introduction, 4.1-4.5 Lectures begin Monday, July 20.
July 27-31 5.1-5.4, 7.1-7.2  
August 3-7 7.3-7.6, Test #1 No classes will be on Monday, August 3.
Test #1 will take place on Tuesday, August 4. 
August 10-14 8.1-8.4, 9.1-9.2  
August 17-21 9.3-9.5, Test #2 Test #2 will take place on Wednesday, August 19.
August 24-28  9.6-9.9, Review Lectures end on Wednesday, August 26.
August 29-31 Final Examination Monday, August 31 at 8:30 A.M.

Note: The course will not cover all the sections of each chapter from the textbook.


Throughout the term, practice exercises will be posted to the Announcements section. These will not be collected for grading and hence will not directly affect your grade. However, it is extremely important that you complete as many problems as possible. Do not memorize them. Rather, learn how to solve problems like them. Use the Solutions Manual only after you have tried the problem. There is nothing like a bit of computation to strengthen understanding in mathematics! Successful students must keep up with homework and seek help for points they do not understand as soon as possible. Do not fall behind! It is recommended to read the relevant sections of the textbook before every class. Next to the classes, working out the answers to the problems is the most important preparation for the tests and exam that will contain for the most part but not exclusively, questions very similar to those from the textbook. It is quite practical to work on your own or together in small groups. There is some useful information on study groups at studygroups. Each student should do at least two hours of independent study for every lecture hour. The amount you learn in this course and the grade you receive will be proportional to the amount of time you spend working on problems.

Exams Information

Lecture/Exam Rules:

Please turn off all cell phones and pagers before entering the lecture hall. For tests and exam calculators, cell phones, digital dictionaries, palms, pagers or other electronic devices are NOT allowed. All such devices as well as all books, papers, knapsacks, and briefcases must be left at the front of the lecture hall. Anyone caught with electronic devices will be charged with Academic Dishonesty (see the next page). The only items you may have at your seat are pens, pencils, student ID, purses and coats. You are responsible for all material covered in lectures.
Note: You may NOT use a calculator on the tests and final exam. Photo identification and signing-in are required at all tests and exam.

Final Grade:

The official grades at York University are LETTER grades. Qualitative descriptions of these grades can be found in the York Calendar at this link. Your test marks will be on a numerical scale because these have to be weighted and averaged in various ways, but THERE IS NO AUTOMATIC PREDETERMINED CORRELATION BETWEEN NUMERICAL GRADES AND LETTER GRADES in this course. In particular, the "numerical" grades you receive are NOT to be interpreted as percentages; they are merely 'raw scores'. When the tests are returned in class, the distribution of 'raw scores' will be announced along with an approximate conversion to letter grades. The median letter grade for the course will likely fall between C and C+.
The composition of the final grade is as follows:
Two Tests (110 minutes each written tests held in the lecture period), 30% each (Tentative dates for the tests: Tuesday, August 4 and Wednesday August 19, 2009).
Final Examination
(3-hour exam), 40% of the overall grade, will take place during the examination period between 29 and 31 of August 2009.
Students have five days from the date of the return of test papers to appeal their marks. Once you have written both tests and your final exam grade is higher than your average test grade, your final exam will be counted as 60% and each test as 20% of your overall grade for the course.

Make-up Policy:

No permission will be given to a student to write tests in advance of their scheduled dates. No make-ups will be done for the tests. Missed tests will be counted as zero, except under extreme circumstances in which case the corresponding percentage of the overall grade will be "forwarded" to the final exam. If you miss a term-test  for medical reasons you must turn in  within one week following the test date the Attending Physician's Statement form provided  here after getting it filled in by your doctor. No other type of medical note will be accepted.  However, missing tests is extremely dangerous and not recommended. As experience has shown, students who miss class tests because of some 'mysterious illnesses' will usually average 30% on the final exam. A student who misses the final examination will be allowed to write a make-up exam only if both of the following conditions are met:
1) the student notifies me (raguimov@mathstat.yorku.ca) or the Department of Mathematics and Statistics (Undergraduate Office, N502/503 Ross Building, 416-736-2100, Ext. 55902 or 33969) in advance that the exam will be missed,
2) the student submits within one week following the exam date the Attending Physician's Statement form provided  here after getting it filled in by his/her doctor .
Students who miss the
final examination and do not meet both conditions will receive a grade of F. It is student's responsibility to fill out and submit the Deferred Standing Agreement Form.
Note: Do not make vacation/job plan until the final exam date is known: having a plane ticket for Hawaii or Las Vegas on
August 27  is NOT a legitimate excuse for absence from a final exam on August 31.

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 test dates specified in the course schedule pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) within the first week of classes. Please note that if the final exam date poses a conflict, students must complete the Final Exam Accommodation Form, which can be obtained from the Registrarís Office 

Academic Honesty

Students are responsible for familiarizing themselves with University Policies and Regulations. Conduct that violates the ethical or legal standards of the university community or of oneís programme or specialization may result in serious consequences. Refer to the Senate Policy on  Academic Honesty.  Photo identification and signing-in are required at all tests and exam. Also, some test papers (randomly selected) will be photocopied before they are returned so that subsequent alterations can be detected.


Individual questions can be discussed by e-mail, or in person after class, or during office hours. Please send all e-mail notes as plain text within the body of the message. Do not send attachments nor HTML-formatted mail. Also, if the name of your account is an alias, I will not know who the mail is from unless you sign it; it also risks being accidentally discarded as junk mail. 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 be answered the last.

Links and Other Resources

1-   Links to Calculus sites

2-  York Undergraduate Math Program

3-  Study Groups

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

© 2009, All Rights Reserved, York University & Iouldouz S. Raguimov

Last modified September 10, 2009