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 Mathematics 251 but credit will not be given for both Mathematics 251T and Mathematics 251. Format: tutorial. Evaluation will be based primarily on performance on written work, oral presentations, and examinations. Prerequisites: Mathematics 104 or Mathematics 103 with Computer Science 134 or one year of high school calculus with permission of instructor. Enrollment limit: 10 (expected: 10).