Mathematics Courses Your academic background should include at least three semesters of mathematics at the level of sophistication of calculus or above. Examples of such courses such are calculus, differential equations, linear algebra, probability, statistics and abstract algebra. The courses should indicate that you have achieved the mathematical maturity expected of an upper-level mathematics undergraduate. Computer Science Courses At least five one-semester courses in computer science that are beyond the introductory level are required. These are intended to demonstrate your breadth of basic computer science knowledge in the areas of computer hardware, software and theory. The courses should include the equivalent of the following University of Colorado offerings: Hardware Requirement: CSCI 2400 (Computer Systems) Software Requirement: Any one of CSCI 3155 (Principles of Programming Languages) or CSCI 3753 (Operating Systems) Theory Requirement: CSCI 2270 (Computer Science 2: Data Structures) and either CSCI 3104 (Algorithms) or CSCI 3434 (Theory of Computation) Other Area Requirement: One upper division course (i.e., one at the junior/senior, 3000/4002 level) in another area of computer science. These areas include artificial intelligence, human centered computing, programming languages, databases, systems and networking, theory of computing, numerical computation, parallel processing and software engineering. More advanced versions of all courses are acceptable. Courses classified in the Other Area Requirement may occasionally be substituted for courses classified in the Hardware, Software or Theory Requirement. The courses in the Hardware, Software and Theory Requirements are prerequisites to many of the graduate-level offerings, so it’s important to complete these to be considered for graduate admissions. Admission without these prerequisites or their equivalents may be considered under extraordinary circumstances only.

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