The fundamental focus of this tutorial is for students to acquire the ability to create and clearly express mathematical arguments through an exploration of topics from discrete mathematics. Students will learn various mathematical proof techniques while discovering such areas as logic, number theory, infinity, geometry, graph theory, and probability. Our goal is not only to gain an understanding and appreciation of interesting and important areas of mathematics but also to develop and critically analyze original mathematical ideas and argumentation. Note: this course fulfills the same requirements as does Math 251 but credit will not be given for both Math 251T and Math 251. Format: tutorial. Evaluation will be based primarily on performance on written work, oral presentations, and examinations. Prerequisite: Mathematics 104 or Mathematics 103 with Computer Science 134 or one year of high school calculus with consultation of instructor; permission of instructor is required for all students. Enrollment limit: 10 (expected: 10).