Calculus II

Math 1502, Spring 2008
Instructor: Adrian Tudorascu
Office: Skiles 261
e-mail: adriant@math.gatech.edu

                                                                                         Practice Test 1
                                                                                             Solutions
                                                                                        Test 1 Solutions (version 1)
                                                                                       
Test 1 Solutions (version 2)
                                                                                         Practice Test 2
                                                                                             Solutions
                                                                                        Test 2 Solutions
                                                                                         Practice Test 3
                                                                                            Solutions
                                                                                        Test 3 Solutions (version 1)
                                                                                       
Test 3 Solutions (version 2)
                                                                                         Practice Test 4
                                                                                            Solutions
                                                                                        Test 4 Solutions
                                                                              

                                                                                          Practice Final      
                                                                                            Solutions
                                                                                          Quizzes 1--12 (or similar)                                                                         

               Numerical Integration; Demo                                                                                                 
  • Lecture Schedule
  •    The class will meet twice a week, on Tuesday and Thursday in Howey Physics L2 (D1, D2, D3 sections) from 9:35 a.m. to 10:55 a.m., and in D.M. Smith 105 (T1, T2, T3, T4 sections) from 4:35 p.m. to 5:55 p.m. We will not meet on official holidays and on dates I need to travel for scientific purposes. On those dates, someone else may substitute; you will be notified in advance.
    Here is an outline of the schedule (note that 3 lectures in the table are the equivalent of 2 lectures in our class; also, the sections displayed may not coincide numerically with those from the book--we are using newer editions).

  • Recitation
  •   Section D1 meets in Skiles 243 on Monday and Wednesday from 9:05 to 9:55 am.
      TA: Mitch Keller

      Section D2 meets in Skiles 169 on Monday and Wednesday from 9:05 to 9:55 am.
      TA: Lin Luan
        
     Section D3 meets in Skiles 249 on Monday and Wednesday from 9:05 to 9:55 am.
      TA: Spencer Nettleton

     Section T1 meets in Skiles 202 on Monday and Wednesday from 5:05 to 5:55 pm.
      TA: Jake Boggan

    Section T2 meets in Skiles 243 on Monday and Wednesday from 5:05 to 5:55 pm.
      TA: Yan Shu

    Section T3 meets in Skiles 254 on Monday and Wednesday from 5:05 to 5:55 pm.
      TA: Amey Kaloti

    Section T4 meets in Skiles 246 on Monday and Wednesday from 5:05 to 5:55 pm.
      TA: Wade Baxter

     Should the time or location change, it is your responsibility to become aware of that by regularly checking the appropriate online resources.

  • Course Description and Goals
  •    Most of the material will be presented in a manner consistent with the presentations in the text. Students are expected to read and study the examples and related material in the text and to work on the assigned problems sets. Similar problems will be used as examples during the lectures and recitations as preparation for the exams.
     
    Prerequisite: Math 1501-Calculus I.

    The topics covered include:
    Taylor Polynomials, Improper Integrals, Series, Vectors and Matrices, Systems of Linear Equations, Vector Spaces,  Orthogonal Projections, Determinants, Cross Product, Eigenvalues and Eigenvectors, Diagonalization.

    Upon completion of this course, the student should be able to apply these notions and techniques to problem solving. For this, the student is expected to have thoroughly understood the theory linking the concepts.

  • Textbook
  •   The text to be used for the first part of the course is the book by Salas, Hille and Etgen entitled "Calculus: One & Several Variables", (10th edition--current bookstore edition) John Wiley and Sons, Inc., 2003.  For the second part we will use "Linear Algebra From the Beginning" (1st edition--current bookstore edition) by Carlen and Carvalho, W. H. Freeman & Sons.
     
  • Grading Policy and Evaluation
  •   There will be weekly announced quizzes (if there is no test scheduled for the week) and, possibly, a number of unannounced quizzes (all taken in recitation), four tests and one final examination.  The lowest scored test will be dropped. The worst of the remaining three tests will contribute 15%, the other two 20% each, while the final exam counts 30% towards the final grade. The best scored seven quizzes contribute 15%. The cutoffs will be 90% for an A, 80% for a B, 70% for a C and 60% for a D.  The tests will be taken during recitations and are scheduled for January 30 (Wednesday), February 27 (Wednesday), March 26 (Wednesday), April 16 (Wednesday). The final exam for the D sections is (tentatively) scheduled for April 28 (Monday) from 8:00 a.m. to 10:50 a.m. in Howey Physics L2. The final exam for the T sections is (tentatively) scheduled for April 30 (Wednesday) from 8:00 a.m. to 10:50 a.m. in D.M. Smith 105.
                                                             
  • Homework
  •    Will be assigned here and reviewed in recitations. It will not be collected as it will not be used in setting grades. Students are strongly encouraged to work on all the assigned problems and collaborate (see Course Policy below). Be aware that the problems and exercises tested on quizzes may be similar or even identical to some homework assignments. 
     
  • Office Hours
  •  When:  Tuesday from 11:30 to 12:25
               Wednesday from 4:00 from 4:55
     Where: My Office.

    Please check up with your TA's for their Office Hours.
     
  • Course Policy
  •    Class attendance is encouraged. The Office Hours are to be used only after you will have thoroughly read the material and tried to understand it.
    Since one of the four tests and approximately three quizzes  (the lowest scored) will not count towards your final grade, no make-up tests or quizzes will be given for any reason. Failure to take a test or a quiz will result in a score of zero.

    Most likely, no calculators will be allowed on any test.

    It is important that you not discard returned quizzes and tests! Not only do they constitute good material for review but they are also the only acceptable proof in case of misrecorded grades.
     
    You may discuss your assignments with each other; however, solutions should be written down individually. You should not read anyone else's completed work or show yours to anyone else.

    Exams and quizzes are to be worked on and written down strictly individually.

    More on Academic Integrity

    How to succeed in this class:

    • Attendance will not be taken in this class, however, it is expected that you will attend class regularly. If you do miss a class it is your responsibility to find out what was covered and whether any important announcements were made.
    • The single most important thing that you should do is work out at least the assigned homework. You should do the assigned problems, along with an assortment of unassigned problems, as a study aid.
    • Collaboration on homework is a good thing. You are encouraged to discuss the homework and to work together on the problems.
    • Like all mathematics, the material in the course cannot be learned passively. However reasonable, simple, or rational you may find what you read or hear, you do not understand it if you cannot apply it yourself. Thus it is imperative that you test yourself by doing problems. If you have difficulty with a problem, ask your instructor, your TA or your fellow students about it; do not assume that the difficulty will cure itself without treatment.
    • Take advantage of the free tutoring services in the Math Lab, located in Skiles 257 (Monday through Thursday from 11:00 to 5:00). Such services are also available through OMED and the Learning Success Program.


    Have you questions or concern about the course, please see me during the office hours!

    Good luck!