This text addresses a number of technical skills in mathematics, physics, and specific areas of nuclear engineering that will prepare the student for optimum performance in any nuclear engineering or medical physics curriculum. The book opens with fundamentals in probability and statistics, ODEs, series solutions, general differential equations, numerical methods, up through PDEs, and incorporates modeling and simulation, radiation, heat transfer, neutron diffusion problems, advanced solution methods, and engineering problem solving. The book specifically focuses on examples in nuclear and radiological engineering, and is thus a unique text for nuclear engineering students. A course using the book may range from three to four credits. Several applications in Mathematica are written to illustrate technical concepts.