Stochastic Processes

The course introduces the basic probabilistic methods of stochastic processes. Topics include: conditional probability and conditional expectation, discrete/continuous-time Markov Chains, the exponential distribution, and the Poisson process. Prerequisite: MAT 325. The department of Mathematics and Statistics offers a program leading to the degree of Bachelor of Science in Mathematics. Mission The NDU mission for a Bachelor of Science in Mathematics is to provide high-quality instruction to students, to expose them to a significant range of mathematical disciplines, and to build up their reasoning and analytical skills to enable them to: • Pursue teaching at the high school level; • Secure employment in positions requiring analytical ability; and • Pursue graduate study in Mathematics or related fields. Program Educational Objectives MATHEMATICS The main objectives of the program of the Bachelor of Science in Mathematics are to: • Prepare students for successful professional careers in mathematics or other related areas; • Equip students with skills relevant to the practice of mathematics, among which are independent and critical-thinking and problem-solving techniques; • Build up the students’ oral and written mathematical communication skills, which enable them to present their ideas efficiently; • Equip students with academic and analytical skills needed to pursue higher education in mathematics or other related disciplines; and • Promote collaborative work among students to help them function effectively in a professional workplace or in a graduate program. THE DEGREE OF BACHELOR OF SCIENCE IN MATHEMATICS Program Learning Outcomes Upon graduation, students will be able to: • Demonstrate proficiency in basic knowledge in a broad range of mathematical areas; • Apply acquired mathematical concepts and techniques to analyze and solve problems; • Read, understand and write mathematical proofs; • Function as team players; • Identify the interdependency of different areas of mathematics, as well as connections between mathematics and other disciplines; • Explain and communicate mathematical principles and ideas with clarity and logic, both written and verbally, demonstrating communication skills to be used in any future career; and • Use mathematical tools to solve larger real-world problems. Admission Requirements For admission requirements to the degree of BS