MTH U242 - Calculus for Engineer/Sci II

Spring 2005

 

Course Information

Course:

MTH U242

Coordinator:

Professor Gilmore

Coordinator’s

course webpage

http://www.math.neu.edu/~gilmore/U242sp05files/mathindex.html

Time and Place:

MWTh 4:35-5:40pm ,  209 KA         

 

 

Textbook: Calculus, by Johnston and Mathews, Addison Wesley.

Calculator: We require the use of a graphing calculator in class.

 

Course Summary:

This course is a one-semester continuation of the subject of Calculus, following the material covered in the syllabus of MathU241 during the fall semester of 2004. We will use the Integral Calculus to describe growth and size in physical processes. This focus on mathematical modeling of reality will frequently lead us into word problems. The difficulties in word problems involve language and our intuition about reality as much as mathematics. We will work on this area of common concern to students of mathematics, physics and engineering. We will study separable differential equations in this process. We will also study infinite series, power series and the beginnings of Linear Algebra through the study of vectors in three dimensions and the algebra and geometry of linear functions.

 

Course Objectives:

            This course has two main goals: to have students understand the concept of the integral and to enable students to display that understanding through a variety of applications, and to gain rudiments of the algebra of linear spaces and functions. Specific, measurable manifestations of your understanding that will be tested during the semester include your ability to:

  1. Calculate antiderivatives of algebraic, trigonometric, and transcendental functions
  2. Calculate antiderivatives using substitution, integration by parts, and partial fractions
  3. Calculate antiderivatives using tables
  4. Solve differential equations which simply require antidifferentiation and insertion of initial data
  5. Approximate definite integrals using finite sums
  6. Calculate average values, areas, volumes, lengths and work using definite integrals
  7. Approximate definite integrals using the Trapezoidal Rule and Simpson’s Rule
  8. Determine whether improper integrals (integrals involving infinity) converge or diverge, and calculate their value if they converge
  9. Derive Taylor polynomials and series and estimate errors using them
  10. Recognize and calculate with geometric series, and be able to use the ratio test and the altenating series test with its error term
  11. Derive equations of lines in three dimensional space
  12. Understand dot and cross products

 

For syllabus and other course materials, go to http://www.coursecompass.com/ and log on with your MyMathlab password (purchased with the textbook).


 
 
  

Department of Mathematics

Office: 

538 Nightingale Hall 

Northeastern University

Phone: 

(617) 373-5231 

Boston, MA, 02115 

Email:

mailto:ding@neu.edu


 

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Created: Jan 6, 2005.   Last modified: Jan 6, 2005. 
URL:  http://www.math.neu.edu/~ding/U242/S05/home.html