1970-2000 TOPIC INDEX
for
The College Mathematics Journal
(including the Two Year College Mathematics Journal)

prepared by

Donald E. Hooley
Department of Mathematics and Computer Science
Bluffton College


Note: All main articles from the College Mathematics Journal are listed in the
ERIC database, with short abstracts.  They may be searched by author, title, or
key words.  Classroom capsules, notes, software reviews, book reviews, and FFF
items are not in ERIC at Columbus.

Each paper in this index is listed under the topics for which it might be used
in the classroom or for enrichment after the topic has been presented.  Within
each topic entries are listed in chronological order of publication.  Each
entry is given in the form:

Title, author, volume:issue, year, page range, [C or F],[other topic
cross-listings]

where C indicates a classroom capsule or short note and F indicates a
Fallacies, Flaws and Flimflam note.  If there is nothing in this position the
entry refers to an article unless it is a book review.

The topic headings in this index are numbered and grouped as follows:

0 	Precalculus Mathematics (also see 9)
    	0.1 	Arithmetic (also see 9.3)
    	0.2 	Algebra
    	0.3 	Synthetic geometry
	0.4	Analytic geometry
	0.5	Conic sections
    	0.6 	Trigonometry (also see 5.3)
    	0.7 	Elementary theory of equations
    	0.8 	Business mathematics 
    	0.9	Techniques of proof (including mathematical induction)
	0.10	Software for precalculus mathematics

1	Mathematics Education
	1.1	Teaching techniques and research reports
	1.2	Courses and programs

2	History of Mathematics
	2.1	History of mathematics before 1400
	2.2	History of mathematics after 1400
	2.3	Interviews

3 	Discrete Mathematics 
    	3.1 	Graph theory
    	3.2 	Combinatorics
	3.3	Other topics in discrete mathematics (also see 6.3)
	3.4	Software for discrete mathematics

4 	Linear Algebra 
    	4.1 	Matrices, systems of linear equations, and matrix algebra
    	4.2 	Determinants (also see 5.5)
    	4.3 	Vector spaces and inner product spaces (also see 5.5)
	4.4	Linear transformations
    	4.5 	Eigenvalues and eigenvectors
    	4.6 	Numerical methods of linear algebra
	4.7	Other topics in linear algebra
	4.8	Software for linear algebra
 
5	Calculus 
    	5.1 	Limits and differentiation
        	5.1.1	Limits (including l'Hopital's rule)
        	5.1.2 	The derivative and mean value theorems
        	5.1.3 	Tangents, differentials, and differentiation
         	5.1.4	Maxima and minima 
        	5.1.5	Graphs of functions

  	5.2 	Integration 
		5.2.1	Definition of integrals and the fundamental theorem
		5.2.2	Numerical integration
		5.2.3	Change of varible (substitution)
		5.2.4	Partial fraction decomposition
		5.2.5	Integration by parts
		5.2.6	Area
		5.2.7	Volume
		5.2.8	Arc length
		5.2.9	Other theory and applications of integration
		5.2.10	Improper integrals

	5.3	Elementary and special functions 
        	5.3.1	Inverse trigonometric functions
        	5.3.2 	Exponential and logarithmic functions
        	5.3.3	Hyperbolic functions and their inverses
		5.3.4	Special functions
 
   	5.4	Sequences and series 
        	5.4.1	Sequences
		5.4.2	Numerical series (convergence tests and summation)
		5.4.3	Taylor polynomials and power series

	5.5	Vector algebra and geometry (including 2x2 and 3x3
                determinants)	

	5.6	Curves and surfaces
		5.6.1	Parametric and polar curves
		5.6.2	Surfaces and coordinate systems in space

	5.7	Multivariable calculus
		5.7.1	Multivariable differential calculus
		5.7.2	Multiple integrals
		5.7.3	Line and surface integrals and vector analysis

	5.8	Software for calculus

6 	Differential Equations and Dynamical Systems 
    	6.1	First order equations
   	6.2	Higher order linear equations and linear systems
  	6.3	Difference equations, discrete dynamical systems, and fractals
	6.4	Nonlinear differential equations
	6.5	Numerical methods for differential equations
	6.6	Other topics in differential equations
	6.7	Software for differential equations and dynamical systems



7 	Probability and Statistics 
 	7.1	Games of chance (also see 9.2)
	7.2	Probability
	7.3	Statistics (also see 9.10)
	7.4	Software for probability and statistics

8 	Computer Science
   	8.1 	Programming and algorithms
    	8.2 	Data structures
 	8.3	Computer graphics
 	8.4	Other topics in computer science

9 	Other Topics 
 	9.1	Set theory and logic (also see 0.9)
	9.2	Recreational mathematics (also see 7.1)
	9.3	Number theory (also see 0.1)
	9.4	Abstract algebra
	9.5	Analysis
	9.6	Numerical analysis
	9.7	Modern and non-Euclidean geometry
	9.8	Topology and differential geometry
	9.9	Operations research, including linear programming
	9.10	Mathematical modeling and simulation
	9.11	Software for advanced topics

10	Book Reviews