Mat 156 --Schneider-- Fall 15-Gi 217

e-mail:robert.schneider@lehman.cuny.edu

office hours :  

Books: You just need your calculus book. You may obtain Maple software at the Math/CS Lab in Gi 222

Grading: 7-10 Homework quizzess----40%
                Final -- 60%

Final - in class last day of class

General Syllabus

Department Labs-- this is a zipped version and should download automatically. You will have to uncompress. These files are also on the lab website.

My Labs-- right mouse click (control click mac) and download  (may see save or save link or something). Then open in Maple

  1. Lab 1 Thur
  2. Lab 1 Tue
  3. Lab 2 Tue
  4. Lab 2 Thur
  5. Lab 3 Thur
  6. Lab 3 Tue

Lesson Plans with Homeworks

  1. Lesson 1
  2. Lesson 2
  3. Lesson 3
  4. Lesson 4
  5. Lesson 5
    1. Cheat Sheet for Trig Identities from web
    2. Cheat Sheet for Trig derivatives from web
  6. Week of 10.11.15 using maple for anti- differentiation but guiding it with methods of integration.
    1. Homework:  Keep working on last week's problems and in addition work on the following practice exam from the web. There will be a HW quiz.
  7. Lesson 6--beginning of sequences and Riemann Sums
    1.  this is a commented maple file you can download--right click to download
    2.  Homework due the week of November 2. We will have a quiz on this at the end of the period during this week.
  8. Lesson week November 10,12
    1. Maple files for Tue-- indefinite limits 0/0 inf/inf, 0*inf
      1. first file
      2. second file
    2. Maple file for Thur
    3. Make sure you can do Last weeks HW.
    4. HOMEWORK QUESTIONS ABOUT SERIES
  9. Taylor Series
    1. Tuesday Maple
    2. HW due December 1,3
  10. More Taylor Series
    1. Maple file for Tue class
    2. Note we had trouble using maple to figure out the Taylor Series of exp(-1/x^2) about x=0. It cant handle it. To handle it one must look at my Maple Derivation of the Taylor Series that shows what the series is in terms of derivatives at 0 and finds out that they are all 0.

Final Prep for last week in class final.

        The test will be similar to the in class HW quizzes but a combination of problems taken from the topics below. They will not necessarily be taken directly from HW problems. You will have to use Maple and explain what is going on. Topics we have covered include:
    1. Integrate and Differentiate using Maple. Use of Digits. Plotting in one dimension. See Homework lesson 1.
    2. Use the Riemann Sum Tutor to find upper and  lower limits for the integral. Show how they approach definite integral. See Homework Lesson 3
    3. Be able to create sequences approaching values monotonically and non monotonically. See Homework Lesson 4
    4. Several problems where you use the Maple calculus tutor to find definite and indefinite integrals where you explain Maples steps.
      1. See HW 10.4. 
      2. Another set of problems
    5. Limits of sequences.
    6. Partial Sums
    7.  Taylor Series
    8. Review session 1

Review Sessions