We present a search for electroweak production of single top quarks in the s-channel and t-channel modes. We have analyzed 230 pbÐ1 of data collected with the D0 detector at the Fermilab Tevatron collider at a center-of-mass energy of 1.96 TeV. Three separate analysis methods are used: neural networks, decision trees, and a cut-based analysis. No evidence for a single top signal is found. We set 95% confidence level Bayesian upper limits on the production cross sections using binned likelihood fits to the neural network and decision tree output distributions and using the total numbers ofevents in the cut-based analysis. The limits from the neural networks (decision trees, cut-based) analysis are 6.4 pb (8.3 pb, 10.6 pb) in the s-channel and 5.0 pb (8.1 pb, 11.3 pb) in the t-channel.