Last update: 12/31/2008

Math 112 - Calculus II

Your total scores and preliminary letter grades: [
One worst quiz and one worst homework are dropped. The total is MTI*.25 + MTII*.25 + Final*.35 + Quiz*(1/8) + Hw*.01
Final exam (topics covered)
Date/time: January 17, 2009 Saturday, 12:15--14:15
Rooms (according to your last name in its English transliteration):
    EB 101 (A--Bolat), EB 102 (Bülbül--G), EB 103 (I--P), EB 104 (S--Z) [
Using a wrong room will result in a penalty! Do not forget your Bilkent University ID cards!

Objections (last chance to see your papers): January 20, 2009 Tuesday @ 14:00-16:00 at my office
Letter grades will be submitted on Tuesday after 5:30pm. ABSOLUTELY no changes afterwards!!!.

Make-up (common for all exams): January 20, 2009 Tuesday @ 14:00-16:00
Those willing and eligible to take it should send an e-mail to me ASAP.

Important announcements are to be placed here. Check often!
Tutorial sections (including the quizzes)
Section Students (by last name) Assistant Room / Time
Math 112-01 A--Emirali Zafer Selcuk Aygin G134 / Mo 17:40-19:30
Ersan--Z Cihan Okay G136 / Mo 17:40-19:30
Math 112-02 A--İnan Necip Ozfidan G206 / Mo 17:40-19:30
İriş--Z Faruk Temur G207 / Mo 17:40-19:30
Please address all quiz related questions to the assistants
[Top]     [Home]             Instructor: Alex Degtyarev     Office: SA 130     Phone: x2135     Mail: no spam
  • Syllabus 
  • Former exams (Aydan Pamir's page)
  • More stuff for self-study:   
  • -Course contents (Math 101)
    -Integrals *
    -Integration techniques *
    -Transcendental functions *
  • Assistant: TBA no spam [new]
  • Homework and quizzes [new]
  • Quiz, homework & midterm results
  • Suggested problems for self-study [new]
  • Exam rules and terms - Quizzes - Make-ups
  • * 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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    Exam contents: Normally, an exam covers all material considered in the class from the beginning of the course and up to (but not including) the exam week. The detailed contents is to be updated later.
    Midterm I     (25%)   October 25, 2008, Saturday @10:00am       See   important remarks and room assignment

    Topics covered (tentative):        Samples:  [2008        PDF Files for self study:  [INTEGRATION]  [TRANSCENDENTAL FUNCTIONS
  • Transcendental functions (exponential and logarithmic functions, inverse trigonometric functions, hyperbolic functions; you are supposed to know: definitions, algebraic identities, related limits, derivatives and integrals, logarithmic differentiation, applications to differentiation and integration)
  • Integration techniques (the new stuff being integration by parts and integrals of rational functions)

    Chapters:     7 (1--8), 8 (1--3)
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    Midterm II     (25%)   November 29, 2008 Saturday, @ 10:00 am       See   important remarks and room assignment

    Topics covered (tentative):        Samples:  [2008        PDF Files for self study:  [INTEGRATION]  [TRANSCENDENTAL FUNCTIONS
  • Integration techniques (the new stuff being trigonometric integrals and trigonometric substitutions in integrals involving square roots)
  • Improper integrals (computation, detecting the improperness, convergence tests)
  • Limits of sequences
  • Series: basic concepts and definitions, simplest properties (the sum rule etc.), sums of (very) simple series, simplest divergence test (the n-th term test)
  • Series with non-negative terms, testing for convergence: the integral test, the two comparison tests (remember the geometric series and the p-series for the tests), the ratio test, and the root test.

    Chapters:     8 (4, 5, 8), 11 (1--5)
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    Final     (35%)   January 17, 2009 Saturday @ 12:15     See   important remarks and room assignment

    Topics covered (tentative):        Samples:  [2008
  • Alternating series, Leibnitz theorem and error estimate.
  • Power series: general properties, radius/interval of convergence, integration/differentiation/multiplication.
  • Taylor and Maclaurin series; convergence.
  • `Known' power series: ex, sin x, cos x, sinh x, cosh x, ln(1+x), tan-1x, tanh-1x, (1+x)m; their convergence.
  • Applications: the sum of a numeric series (by guessing an appropriate known power series), non-elementary integrals via power series, power series solution to a differential equation (e.g., finding a few first terms), using power series to evaluate limits.
  • Coordinates and vectors, dot and cross products (including applications), lines and planes (including distance/angle/etc problems), spheres and cylinders.
    The material of both midterms is fully included!

    Chapters:     11 (6--10), 12 (1--6).
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    Quizzes and Homeworks     (10%)   Quizzes are to be held weekly in the tutorial sections (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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    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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    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.
  • Logarithms of negative quantities, negative exponentials, things like arcsin(1.5), 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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