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Peer reviewedFay, Temple H.; O'Neal, Elizabeth A. – Mathematics and Computer Education, 1985
The authors draw together a variety of facts concerning a nonlinear differential equation and compare the exact solution with approximate solutions. Then they provide an expository introduction to the elliptic sine function suitable for presentation in undergraduate courses on differential equations. (MNS)
Descriptors: College Mathematics, Functions (Mathematics), Higher Education, Mathematics Instruction
Direct linkDana-Picard, Thierry – Mathematics and Computer Education, 2005
An integral, either definite or improper, cannot always be computed by elementary methods, such as reversed usage of differentiation formulae. Graphical properties, in particular symmetries, can be useful to compute the integral, via an auxiliary computation. We present graded examples, then prove a general result. (Contains 4 figures.)
Descriptors: Mathematics, Problem Solving, Graphs, Geometry
