Professor Alexandru I. Suciu

MTH 1108 - Fundamentals of Integral Calculus

Spring 1999

* Course Information

Course: MTH 1108, Fundamentals of Integral Calculus
Instructors: Tony Iarrobino (Coordinator), Alex Suciu, Miao Wu
Time and Place: Mon., Wed. & Th. 10:30 - 11:35 AM, in 2 SL
Office Hours: Mon 12:30 - 1:30 PM and Th 1:00 - 2:00 PM, in 441 LA
Textbook: Fundamentals of Integral Calculus (2nd edition), by Eugene H. Gover, Nishan Krikorian, Harold L. Stubbs, Northeastern University Custom Book Program, Boston, MA, 1980
Grade: 60% in-class tests, 40% final exam

* Course Description


This course introduces the basic ideas and methods of Integral Calculus. It applies these methods to problems of averaging, computations of volumes, amd relations between rate of flow and amount. Also introduced are the calculus of trigonometric and exponential functions, and methods of solving simple differential equations. These methods are applied to problems of exponential growth and decay, diffusion through membranes, and buildup of drugs in the body. Topics covered include:
1. Review of Derivative:  Functions, derivative as operator, meaning of the derivative, the antiderative.
2. The Integral:  Integrals as areas and sums, the Fundamental Theorem of Calculus, properties of the integral, applications (average value, volume).
3. Trigonometric Functions:  What they are, calculus of trig functions, inverse trig functions.
4. Techniques of Integration:  Substitution, use of tables of integrals.
5. Differential Equations:  Basic concepts, separation of variables, applications (mathematical models for growth, diffusion of chemicals through membranes, drug absoption, spread of infectious disease).

* Homework Assignments

* Exams

area Quiz 1 Quiz 2   
Sample Quiz 3 Quiz 3 Answers to Quiz 3
Quiz 4 Answers to Quiz 4 Make-Up Quiz 4
Quiz5 Answers to Quiz 5

* Grades

Department of Mathematics  Office:  441 Lake Hall  Messages:  (617) 373-2450 
Northeastern University Phone:  (617) 373-4456  Fax:  (617) 373-5658
Boston, MA, 02115  Email:  alexsuciu@neu.edu  Directions
Home  Created:  March 30, 1999.   Last modified:  June 8, 1999  
 
URL:  http://www.math.neu.edu/~suciu/mth1108/intcalc.sp99.html