22M:36
Engineering Calculus II
Section 131
Fall 2000
 
 

Contact/class information

Instructor: Dr. David Stewart
Phone: 335-3832
Email: dstewart@math.uiowa.edu
WWW URL: http://www.math.uiowa.edu/~dstewart/
Office: MLH 325B
Office hours: MWF 12:30-1:30pm
Class times: MWThF 1:30-2:20pm
Class location: 213 McLean Hall

 

You can see me outside the office hours provided it is mutually convenient. You can use email to set up an appointment time.

Grades

Your grades can be found here.

Extra classes !!!!

There will be extra classes on at
  • Tuesday October 24th at McLean Hall room 105, 6:30pm-7:30pm.
  • Thursday November 2nd at 6:30pm-7:30pm in McLean Hall room 210.
  • Wednesday November 8th at 6:30pm-7:30pm in McLean Hall room 210.


    • Exercises

    Exams


    Description

    This course is about developing and using calculus to
    1.
    Find limits
    2.
    Evaluate integrals
    3.
    Compute volumes, areas, masses, etc.
    4.
    Solve differential equations (like, the equations for the motion of a pendulum)
    5.
    Investigate infinite sequences and series (infinite sums)
    6.
    Understand vectors, curves and surfaces in three dimensions
    Calculus is a basic tool for modeling the world, and making calculations. If you want to know what an electronic circuit will do, almost all of the time you will need to model it by differential equations. Computing masses and volumes requires understanding integration, and to do integration we need to understand differentiation.

    When we look at infinite sequences and series we will need to think about limits and convergence.

    Along the way, we will also meet old friends in new places, like the logarithm and exponential functions. \( \pi \) will also put in an appearance from time to time.
     
     

    Textbook

    Calculus and Analytic Geometry by R. Ellis and D. Gulick, 5th edition (1994). Published by Saunders College Publishing. This course covers chapters 6-9, sections 10.1-10.4, and most of chapter 11. This textbook is available through the University bookstore.
     
     

    Syllabus

    1.
    Chapter 6 -- Inverse functions : inverse functions, exponential and logarithmic functions, hyperbolic functions (sinh, cosh, tanh), inverse trigonometric functions (arcsin, arccos, arctan), l'Hôpital's rule, differential equations.
    2.
    Chapter 7 -- Techniques of integration : integration by parts, trig integrals, trig substitutions, partial fractions, tables and symbolic software, numerical approximations, improper integrals.
    3.
    Chapter 8 -- Applications of integrals : finding volumes (by slices, by shells), length of a curve, area of a surface, energy and work, moments and the center of gravity, hydrostatics (or why boats capsize).
    4.
    Chapter 9 -- Sequences and series : polynomial approximation, infinite sequences, convergence of sequences, infinite series (infinite sums), convergence tests (integral and comparison tests, ratio and root tests, alternating series test), power series, Taylor series, binomial series.
    5.
    Chapter 10 -- Curves in the plane : parametric curves, polar coordinates, lengths and areas of related surfaces.
    6.
    Chapter 11 -- Vectors, lines and planes in space : Cartesian coordinates, vectors, dot and cross products, lines, planes.
    Assessment
    There will be weekly homework assignments, two mid-semester exams, and a final comprehensive exam. The homework will count for 30% of the final assessment, the mid-semester exams will count 20% of the final assessment each, and the final exam will count for the remaining 30% of the assessment. There will also be ungraded exercises to help you exercise your skills.

    The homework is a vital part of the course. If you don't do it, you won't just miss out on 30% of the assessment, but you probably won't get the practice or learn what you need for doing the exams either.
     
     

    Notes

    The course plan may be modified during the semester. Such modifications will be announced in advance during class periods; the student has responsibility for keeping up with such changes.

    You should also make a habit of reviewing the class web page:

    http://www.math.uiowa.edu/~dstewart/classes/22m036/22m36.html

    This page will have homework details and other information posted to it as the class progresses.

    The Department of Mathematics offices are in 14 McLean Hall (MLH). You can contact the chair of the department through the Departmental Secretary at 14 MLH or by calling 335-0714.

    Please let you instructor know if you have a disability that requires special arrangements. I need to hear from anyone who has a disability which may require some modification of seating, testing or other class requirements so that appropriate arrangements can be made. Please see me after class or during my office hours.

    Be sure to read the section titled Student Complaints Concerning Faculty Actions on page 23 of the Schedule of Classes (Fall 1999).
     

    David Stewart

    8/21/2000