Last update: 12/3/2003

Math 111 - Calculus I


Important announcements are to be placed here. Check often!
Final Exam will take place on January 16, Friday between 9:00-11:00.
Check this page for the room assignment. Using a wrong room will result in a penalty!
Do not forget your Bilkent University ID cards!

For a while, homeworks will be assigned weekly. Check this page or, better yet, this!
Papers are to be deposited to a box at SA-140 before midnight on the due day.

Homework V (due December 15) has been assigned!!! Here it is (see this page for details):
  • page 255, exercise 31
  • page 255, exercise 32
  • page 257, exercise 61
  • page 310, exercise 14
  • page 310, exercise 16
    Pay special attention to page 255 and page 310 problems! Try to solve (yourself!) as many graphing and optimization problems as you can! There's no other way to learn this stuff!

    Please address all quiz related questions to the assistant: Inan Utku Turkmen no spam
    Math 111 Help Sessions will start on September 30
    Place: SAZ-20 and SAZ-21;    Time: Every Tuesday and Thursday 16:30-18:30
    Currently this is a voluntary activity designed to help you to learn calculus. You can ask questions, discuss topics you have difficulties with, get problem solving help, etc. BTW, about the same you can get from me during my office hours.
    [Top]     [Home]             Instructor: Alex Degtyarev     Office: SA 130     Phone: x2135     Mail: degt-nospam-fen.bilkent.edu.tr no spam
     Syllabus*   Spring 2001   Spring 2003   Fall 2003 
     [PDF]  Midterm I   MT I **  MT I **  MT I 
     [PDF]  Midterm II   MT II **  MT II **  MT II 
     [PDF]  Final   Final **  Final **  Final 
     More stuff:    -Course contents (Math 101)
    -Integrals **
    -Integration techniques **
    -Transcendental functions **
       
  • Assistant: Inan Utku Turkmen no spam [new]
  • Homework assignments and guidelines
  • Quiz, homework & midterm results
  • Suggested problems for self-study [new]
  • Textbook's web page
  • Okan Tekman's Calculus 111 page
  • Exam rules and terms - Quizzes - Make-ups
  • * The files are in .pdf format. Download Acrobat Reader here. Postscript or .dvi files are available upon request no spam
    ** The course used to be much more advanced. (Well, even nostalgia isn't what it used to be...) Thus, should you decide to work with the 101 samples, stick to the topics listed below.
    *** Homeworks are graded by two persons. Thus, do not complain that "my friend got a credit and I haven't". Just wait: your paper may be processed by the other grader!

    Please disregard any crossed-out text. These subjects have not been decided upon yet.
    Especially this concerns the exam contents!

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    Midterm I     (25%)   October 18, 2003, Saturday @10:00am       See   important remarks and room assignment

    Topics covered (tentative):          PDF Files: [MT I]  
  • Lines and their equations (various forms); geometric properties; intersection
  • Functions, graphs, natural domain; inverse functions
  • Exponential and logarithmic functions; simple equations
  • Trigonometric functions and their inverse; trigonometric identities
  • Parametric equations of curves
  • Limits: definition, simple properties
  • Finding simple limits (mainly via algebraic cancellation, Ch 1.2)

    Chapters:     P(1--6), 1(1--2).
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    Midterm II     (25%)   December 6, 2002 Saturday, @ 10:00 am       See   important remarks and room assignment

    Topics covered (tentative):        PDF Files:  [CONTENTS]  [INTEGRALS]  [INTEGRATION  (updated 12/3/2003)
  • Limits (trigonometry and those involving infinity) [problems]
  • Continuity. Properties of continuous functions. The intermediate value theorem
  • Derivatives: definition, properties, differentiation techniques [problems]
  • Higher order derivatives (including parametric and implicit differentiation)
  • Tangent lines (including curves given parametrically or implicitly) [problems]
  • Derivative as rate of change. Related rates [problems]
  • Local and global extrema. Min/max problems for continuous functions on closed segments [problems]
  • The mean value theorem for derivatives and its applications [problems]

    Remark:     Previous years Midterm I samples (posted here or here) may give you a pretty good idea of what you may expect
    Chapters:     1(2--5), 2(1--7), 3(1--2)
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    Final     (40%)   January 16, 2004, 9:00 am     See   important remarks and room assignment

    Topics covered* (tentative):        PDF Files:  [CONTENTS]  [INTEGRATION]  [TRANSCENDENTAL FUNCTIONS  (updated 12/30/2003)
  • Graphing functions using derivatives; asymptotes and dominant terms [problems]
  • Optimization problems [problems]
  • Linearization, differential
  • Anti-derivatives; uniqueness; indefinite integrals; simple integration (using the basic rules/formulas and substitution) [problems]
  • Riemann sums; definite integrals; the fundamental theorems of integral calculus and their applications (evaluating definite integrals; differentiating an integral with respect to its limits) [problems]
  • Applications of definite integrals: the basic idea**; areas between curves [problems]; arc length [problems]; volumes; volumes of solids of revolution [problems]; areas of surfaces of revolution (if covered in class); work; fluid forces; mass, moments, centers of gravity-->

    * The material of previous midterms is fully included. The main emphasis of the course and, hence, the final is still differentiation, integration, and their applications!
    ** You are supposed to be able to set up the integral provided that the corresponding `na´ve' laws are given

    Remark:     Previous years Midterm II samples (posted
    here or here) may give you a pretty good idea of what you may expect
    Chapters:     3 (3, 5, 6), 4 (1--6), 5 (1--3).
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    Quizzes and Homeworks     (10%)   Quizzes are to be held weekly on Tuesday in class (10-15 mins at the end) except midterm weeks. Hopefully, 6 to 7 quizzes and 6 to 7 homeworks will be given, with disregarding one worst of each.
    Homeworks may be assigned via web; details are to be clarified later.

    All questions regarding the quizzes are to be directed to the assistant. The assistant is instructed to  give no credit  to identical papers. The same applies to the exams.


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    Make-ups    

    One common make-up (for all exams) will be given at the end of semester. If you have a good reason to request a make-up, just let me know. All supporting documents are to be taken to the math department secretary.

    No make-ups for quizzes!   If you have missed a lot of quizzes, it does affect your grade badly, and you have a  really good  reason for your absence, this can be settled personally at the end of the semester.
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    Remarks    

    Most exam problems will be taken from the textbook or its
    web page. Solve them in advance, and you will do well!

    During the exams please keep in mind the following:
  • Calculators are  not  allowed 
  • Identical solutions (especially identically wrong ones) will  not  get credit. I reserve the right to decide what "identical" means. You still have the right to complain 
  • Do not argue about the distribution of the credits among different parts of a problem. I only accept complaints concerning my misunderstanding/misreadung your solution 
  • Show all your work. Correct answers without sufficient explanation might  not  get full credit 
  • Indicate clearly and unambiguously your final result. In proofs, state explicitly each claim 
  • Do not misread the questions or skip parts thereof. If you did, do not complain 
  • If you believe that a problem is misstated, do not try to solve it; explain your point of view instead. However, do not take advantage of this option: usually problems are stated correctly! 
  • Each problem has a reasonably short solution. If your calculation goes completely out of hands, something must be wrong (e.g., you might have chosen a wrong coordinate system/substitution/approach etc.) 

    Grading policy
    *
    I will take off a few (2-3) points for arithmetical mistakes. However,  a lot  of points will be taken off for `obvious' mistakes, i.e., either those that you can easily avoid or those showing a deep misunderstanding of the subject. This includes, but is not limited to, the following:
  • Wrong dimension in a physical problem
  • Things that don't make sense
  • Mismatch of the data obtained in a graph (say, the only minimum of a continuous function lies above the only maximum, or function is concave up at a point of maximum, etc.)
  • Negative values for integrals of positive functions or for things like area, volume, mass, etc.
    Furthermore, solving a different problem (other than stated), even if perfect, will give you  no credit 
    * Of course, this only applies to problems that I am grading personally
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