Math 21-259 : Calculus in Three Dimensions
Spring 2011


"The essence of mathematics is not to make simple things complicated, but to make complicated things simple."     -- S. Gudder


Instructor: Dr. Meghna Mittal

Office Location: Wean Hall 8204
Office hours: 10.:45 - 12:15 MW and by appointment
Lec 1 Location: GHC 4401
Lec 1 Timings: 12:30 - 1:20 pm MWF
Lec 2 Location: BH A51
Lec 2 Timings: 9:30 - 10:20 am MWF
Email: mittal@math.cmu.edu

Remember: Feel free to come to my office hours or schedule an appointment for individual meeting. I would be more than willing to help you with any questions you may have. The best part about these hours is that I will be able to devote individual attention to all your questions and concerns.

Help : In addition to the help from the class, recitation sessions, TA, and my office hours, the University operates a walk-in tutoring in the residence halls. This walk-in tutoring will start on Monday, January 17 in in the Donner Reading Room and Mudge Library on Monday and Wednesday nights from 8:30-11:00 p.m.

NEWS:

  • Practice problems from Chpter 13c have been posted below.
  • Exam III review sheet has been posted.
  • Homework 13 has been posted on the homework page.
  • Homework 12 has been posted on the homework page.
  • Homework 11 has been posted on the homework page.
  • Homework 7 solutions have been posted.
  • Homework 8 and 9 solutions have been posted on the homework page. Check them out!
  • For your future reference, I have posted a better quality of scanned solutions of Exam II review sheet.
  • Exam II solutions have been posted below.
  • Summary and some extra practice problems from Chapter 12 have been posted on lecture page.
  • Homework 10 has been posted on the homework page.
  • Exam III date has been scheduled for April 22, Friday.
  • Office hours have been changed.
  • Exam II review solutions have been posted. Look below.
  • Video of the proof of the Second Derivative test has been posted on the lecture page.
  • Notes from the above video has been posted on lecture page.
  • Extended office hours have been posted below.
  • Solution to the absolute max-min problem has been posted on the lecture page. You can also click here to access it.
  • Your grades have been posted on Blackboard website.
  • My regular office hours on Wednesday(March 02) have been moved to 10:30 - 12:20.
  • Exam II date has been CHANGED. It has been postponed to March 21st.
  • There will be a Recitation on March 03.
  • Homework 6 has been modified. Sections 11.5 and 11.6 have been deleted from it and two problems have added from Section 11.4.
  • Exam II review sheet has been updated. Some new questions have been added and some have been deleted. It will get updated soon again.
  • No Quiz for the Exam week, i.e., Feb 28 - March 04.
  • Exam II review sheet has been posted. It might get updated with more questions later.
  • Video on Conic Sections has been posted on the lecture page.
  • Notes from the above video has been posted on lecture page.
  • Video on Quadric Surfaces on Section 10.9 has been posted on the lecture page.
  • Notes from the above video has been posted on lecture page.
  • Video of Extra help on Section 10.9 has been posted on the lecture page.
  • Extra help on Section 10.9 has been posted on lecture page.
  • Exam I solutions have been posted below.
  • Homework 4 has been modified. Problems from Section 10.6 have been moved to the next homework.
  • Click here to access the list of surfaces shown in class to identify level curves.
  • Click here to access the information about Quadric Surfaces. It is also given in the book, in fact, with beautiful pictures.




    Exam Related Stuff:

  • Final Exam is a comprehensive exam, you wil tested upon all of the chapters.
  • Final's week Office hours

    Tuesday, May 03: 1 - 4
    Wednesday, May 04: 10 - 12
    Friday, May 06: 1 - 4

  • Review Session: Saturday, May 7 starting at 2:00 pm in DH 2210.

  • Summary of Chapter 13
  • Practice problems from chapter 13
  • Worksheet of Practice problems from chapter 13
  • Worksheet Solutions
  • Practice Final Exam
  • Practice Exam Solutions
  • Final Preparation Guide



  • In Exam III, you will be tested upon the material covered in Sections 11.8 and the whole of Chapter 12 except Section 12.4.
  • Extended Office hours:

    Thursday, April 21 -- 2 - 4 pm and 6 - 8 pm.

  • Summary of Chapter 12
  • Exam III review problem set
  • Exam III review solution set
  • Exam III solutions



  • In Exam II, you will be tested upon the material covered in Sections 10.6 - 11.7.
  • Extended Office hours:

    Thursday, March 17 -- 10 - 12 am , 2- 4 pm.
    Friday, March 18 -- 3 - 7 pm
  • Exam II review problem set
  • Exam II review solution set
  • Exam II solutions



  • In Exam I, you will be tested upon the material covered in Sections 10.1-10.5, 10.7 - 10.8 with the exception of few topics such as the concept of integrals(10.7), arc length and curvature(10.8).
  • Exam I review problem set
  • Exam I review solution set
  • Exam I solutions




  • Some Daily Useful Links:


    Textbook: Essential Calculus -- Early Transcendental, by James Stewart.

    Course Description: In this course, we shall cover chapters 10 -13 from the textbook with the exceptions of few sections. This course is typically considered as the last course in the sequence of Calculus semester courses. The knowledge acquired in the earlier Calculus courses can be efficiently summarized as ``Calculus of functions of one variables" which includes the concept of differentiation, integration and the Fundamental Theorem of Calculus.

    In the similar vein, this course can renamed as ``Calculus of functions of several variables" which means that we will spend the semester in developing the concept of differentiation and integration for functions of several variables. And then finally, we end the course with the most natural version of the Fundamental Theorem of Calculus for functions of several variables.


    Lecture : There will be no attendance in class but tardiness and absence from class is strongly discouraged. You are encouraged to ask questions and participate in class. You are responsible for all of the announcements made and the material covered in the class. You are not permitted to use laptops or any other electronic device such as cell phones, mp3 players and so on during lecture.

    Recitation : There are multiple lab sections for this class. They are scheduled on Tuesdays and Thursdays at different times and places. These recitations focus primarily on answering your questions and doing sample problems from the sections discussed in lecture. To take the full advantage of this session, be prepared to ask questions and participate. You must turn in your homework and take quiz only in your assigned session. Click here to get the contact information, office hours and everything else that you need to know about your teaching assistant.


    Homework: Homework will normally be posted each Tuesday and will be collected the following week at the start of your Thursday recitation. Your first homework assignment will be posted on this Tuesday (Jan 11). Click here to be able to access the list of the homework problems. Homework is the most important part of this course. You should do ALL the assigned homework problems as they represent a significant class of prototypical exam problems. Each homework should be turned in a specific format, the link to which will be provided on the homework page. You should print it and follow all the instructions written on it's cover page to recieve full credit in your homework assignment. Absolutely no late homework assignments will be accepted. If you are unable to attend your recitation, you must coordinate with your TA to turn in your homework prior to the deadline.

    Caution: It is University policy that the work submitted by each student should be that student's own work, and not the work of some other individual. In the case of homework assignments, students are allowed to consult outside sources such as books, tutors, websites, and friends, but it is important that the submitted homework is written in the student's own words and reflects that student's understanding of the homework exercises. In particular, students who copy another individual's work may be subject to significant penalty.

    Quizzes: There will be a 10 minutes quiz in your recitation every Thursday except the first week and the midterm exam weeks. In these weekly quizzes, you will normally be tested upon the sections that were due in that day's homework. There will NO make-up quiz except when a student documents an illness or emergency at the earliest possible time.

    Poppers: To encourage participation and attendance in recitation, you can expect a short popper quiz which will typically contain multiple choice questions(MCQ). These MCQs are typically a simple check of your understanding of the material. Your TA will have the authority to give that popper quiz at any time during the session either on Tuesday or on Thursday. The points recieved in these will be counted as a bonus grade to your final score. You can earn upto maximum of 5 points which can straight away be added to your final score out of 100. Great advantage...Enjoy collecting points by going to recitation!

    Note: It is your TA's responsibility to turn in your graded assignments and quizzes in a timely manner. If you have any questions or concerns regarding the homework or quiz grading, you should first consider to contact your TA. In case, it does not get resolved there then feel free to schedule an appointment with me.


    Exams: There will be three, 50 minute in-class midterms during the semester and a comprehensive final exam at the end of the semester, scheduled as follows:

  • Midterm I : Feb 04 (Friday)
  • Midterm II : March 21 (Monday)
  • Midterm III : April 22 (Friday)
  • Final Exam : May 09 (Monday). It is scheduled by the registrar.

  • Exam Policies: All the exams will be closed book and calculators will not be allowed. There will be no make-up exam except in the case of documented illness or family emergency or documented University sponsored trips. If you wish to get your exam regraded, you should staple a brief explanation (no more than 3 lines for each question) and turn in to your TA within one week of the day the graded exam was returned to your section. Student elligible for special accomodation must contact me at least two weeks prior to the exam to the make arrangements.


    Caution : Do not make any travel plans before the end date of the semester since no arrangements can be made for scheduling the exam earlier than the official scheduled date.

    Course Grade:
  • Homework(drop lowest) :12%
  • Quizzes(drop lowest) :12%
  • Lowest Midterm Score : 6%
  • Middle Midterm Score : 15%
  • Highest Midterm Score : 25%
  • Final Exam Score: 30%


  • Course Grading Scale:
  • A : 89.5 - 100
  • B : 79.5 - 89.4
  • C: 69.5 - 79.4
  • D : 59.5 - 69.4

  • The above grading scale is subject to change (these cut offs might be lowered slightly but will not be increased).


    Mid Semester Grade:
  • Homework(H1 - H4) :10%
  • Quizzes(Q1 - Q4) :10%
  • Exam I Score :80%


  • Mid Semester Grading Scale:
  • A : 92.5 - 100
  • A- : 89.5 - 92.4
  • B+ : 85.5 - 89.4
  • B : 82.5 - 85.4
  • B- : 79.5 - 82.4
  • C+ : 75.5 - 79.4
  • C : 72.5 - 75.4
  • C- : 69.5 - 72.4
  • D+ : 65.5 - 69.4
  • D : 59.5 - 65.4


  • Academic Dishonesty: A student's answers on a test or final exam are expected to reflect that student's problem-solving ability. Students will not be allowed to use calculators, books, or other materials unless otherwise indicated. Communication with other individuals is also forbidden during tests and the final exam. Students who violate this policy could recieve an "R" for that particular test, fail the course, or even be brought up for university disciplinary action (see http://www.cmu.edu/policies/documents/AcadRegs.html), possibly resulting in expulsion.

    Email: Students are responsible for information about the course that is emailed to them using the email address that the students provide to the CourseWare site or the PeopleSoft site. It is the student's responsibility to keep the email address on file current and to make arrangements for email from the instructor, PeopleSoft, and CourseWare to reach the student.
    Expectation: You can expect to recieve a reply to your email within 24 hours during weekdays and within 48 hours during weekend.


    Tentaive Week by Week Schedule: This schedule is subject to change. It will get more accurate as the semester progresses. You may click here to access it.
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