TMTH 2335

ADVANCED TECHNICAL MATHEMATICS
Applied Calculus I

Fall 2000

 

 

This course introduces the basic concepts of calculus and its application in the industrial and technical environment. Lectures are from 11:30 - 1 pm on Tuesdays and Thursdays.

Questions regarding the course should be addressed to:

Dr. C. E. Goodson Room 304 T2
713-743-4046 (Office)
713-743-4064 (FAX)

cgoodson@uh.edu


Course Links

Assignments   Grades Important Dates Prerequisites 
Selected Solutions Syllabus Web Resources Web Calculus Resources

Date of last update August 16, 2000

 


Textbook
Technical Calculus with Analytic Geometry, 3rd edition, by Allyn J. Washington, Benjamin Cummings

 


Prerequisites
Enrollment in TMTH requires satisfactory completion of TMTH 1335 and TMTH 1336 or equivalents.

 


Grades
The test average will count as 80% of your final grade. The homework will count for 20% of your final grade.

Exams
There will be 3 tests and a final examination which is counted as 2 tests. You may drop the lowest of the 4 grades, and your test grade average will be based on the average of the 3 remaining grades. There are no individual makeup examinations (if you are absent for a test, that test is the grade that will be dropped).

Homework
You should keep a notebook of homework. Label the problems with section number, page number, and problem number. Homework will be graded using homework quizzes. Some homework quizzes are scheduled. Others may be given with no announcement. All of these quizzes will be based on homework assignments. They will be open notes and closed book. At least one quiz grade will be dropped in computing your homework average.

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Important Dates

9.02 HW Quiz
9.16 HW Quiz
9.23 Last day to drop without receiving a grade
9.30 Test 1
10.14 HW Quiz
10.21 HW Quiz
10.26 Test 2
11.05 Last day to withdraw
11.16 HW Quiz
11.23 Test 3
11.25 Thanksgiving holiday
11.30 HW Quiz
12.02 Last class day
12. Final examination (11:00 a.m. - 2:00 p.m. ?)

 

 

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Schedule of Topics

Note: The schedule could vary. Variations will be announced in class.

WK Topic Section Homework Problems  
1 Analytic Geometry 1-1 - 1-4 1.1 13,17,21,27  
  of the Straight Line   1.2 9,29,43,45  
      1.3 1,9,21,25,29,33,37,41  
      1.4 1,2,5,8,9,13,17,21,22,25,28,29,  
        33,37,41,45,49,53,57  
2 Circle and Ellipse 1-5 & 1-7 1.5 1,5,9,13,17,20,21,25,29,33,37, 41  
      1.7 1,4,5,17,20,21,25,29,33  
  Parabola & Hyperbola 1-6 & 1-8 1.6 1,5,9,13,17,21,25,29,33  
        1.8 1,2,5,13,17,21,25,29  
3 Computer Activity         
  Translation of

Axes & General

2nd Degree Equation

1-9 & 1-10 1.9 9,13,17,21-25   
    1.10 1-17,21,22,25,29,33-36   
          
4 Algebraic

Functions & Limits

2-1 & 2-2 2.1 1-5,9,13-17,21,22,41-45,49-53   
    2.2 1-5,9,13,17,21-25,29,33,37  
         41,45,49   
  Introduction to 2-3 & 2-4 2.3 5,9,13,21  
  the Derivative   2.4 1-4,13,25,29  
5/6 Differentiation 2-6. 2.6 1-18, 21,22,25,26,33,37,38,39,41,42  
    2-7 2.7 1-5,13-17,32-37  
  Power of a Function 2.8 2.8 1-13,17-20,29,31-33,37,39,40,41  
7 Application/

Motion & Electricity

2-5. 2.5 1,5,9,13,17,21,25  
        Use the derivative formulas   
  Implicit Differentiation 2-9. 2.9 1-10,15-18,25,26  
8 Higher Order Derivatives 2.10 2.10 1-17,25-27,33,34,36,37  
  Tangent's & Normals 3-1 3.1 1,5-9,13,16,17,20  
  Newton's Method 3-2 3.2 1,4,5,9,13,17,18   
9 Curvilinear Motion 3-3 3.3 1,4,5,8,9-13   
  Curve Sketching

using the Derivative

3-5 3.5 1,3-6,9,13,17-21,25,28,29   
   3-6 3.6 1,3-5,9,13   
10 Applied Maximum

& Minimum

3-7. 3.7 1,3-9,13,16,17,18,26  
         
  Related Rates 3-4. 3.4 1,5,9,13,17,21  
11 The Differential &

Antiderivatives

4-1 - 4-3 4.1 1-13,17,21,22,25  
    4.2 1-9,13-17,21,25,29  
12 Indefinite Integral   4.3 1-21,23-29,33,37,38  
  Definite Integral 4-4. 4.4 1,5,9-15  
13 Area Under the Curve 4-5 & 5-2 4.5 1-28  
      5.2 1-13,17,25,29,32-34   
  Applications/Integration 5-1 5.1 1,3-5,9,15,16   
14 Numerical

Integration

4-6 & 4-7 4.6 5,6,9,13  
    4.7 5,9,13  
15 Review for final        

 

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Web Resources

  • Calculus graphics -- Douglas N. Arnold:
    A collection of graphical demonstrations developed for first year calculus.
  • Calculus&Mathematica
  • Calculus Modules OnLine - PWS Publishing
    Interactive Case Studies, exercises, problems, laboratory projects and applications of Calculus.
  • CQ Main Directory
    Calculus Quest, Oregon State Unversity, anintroductory course with lots of resoures
  • Dave's Math Tables by David Manura and hosted by Scientific Instrument Services, Inc.
    Lots of tables from basic multiplication table through integrals to fourier series
  • The Home Page for Users of TI Calculators and Educational Solutions
  • JPCalculus by Bob Flagg & Geeta Ramani
  • Karl's Calculus Tutor by K. Hahn
    Notes and on-line tutoring
  • Key Sketches: Derivative and Integral by Bill Finzer
  • Mathematics Archives Calculus Resources On-Line
    information and links to Internet resources for teaching and learning of calculus
  • Single Variable Calculus by J. Friedlander and H.S. Rosenthal
    Extensive notes on various topics in calculus
  • Tutorial Index by Stefan Waner and Steven R. Costenoble
    Calculus tutorials on most topics
  • The University of Minnesota Calculus Initiative
    Geometric concepts of calculus with applications to the physical and life sciences
  • University of Michigan Department of Mathematics: Calculus
  • Catalog of Problems
  •  

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