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Mathematics has long served as the fundamental language and conceptual foundation driving progress in modern theoretical science. Originally pivotal in the physical sciences, its influence has expanded to encompass life sciences, social sciences, and computer science. Penn's mathematics program combines classical mathematical disciplines with cutting-edge applications (the university stands as a global leader in applying logical principles to theoretical computer science). The major's objectives include helping students develop both mathematical comprehension and practical application skills. This program prepares students for advanced mathematics study while offering valuable preparation for fields like economics, biological sciences, physical sciences, engineering, and various non-conventional disciplines.