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3/2 programs allow students to earn two degrees in five years. A bachelor's degree from a liberal arts college (3 years) A bachelor of science degree from Caltech (2 years) Caltech partners with 13 liberal arts colleges for this program.
Ma 3/103 Introduction to Probability and Statistics. 9 units (4-0-5) | second term. Prerequisites: Ma 1 abc. Randomness is not anarchy-it follows mathematical laws that we can understand and use to clarify our knowledge of the universe.
This course is an introduction to the main ideas of probability and statistics. The first half is devoted to the fundamental concepts of probability theory, including basic combinatorics, random variables, independence, conditional probability, and the central limit theorem.
Prerequisites: Ma 2 or equivalent, and Ma 108 must be taken previously or concurrently. First term: aspects of point set topology, and an introduction to geometric and algebraic methods in topology. Second term: the differential geometry of curves and surfaces in two- and three-dimensional Euclidean space.
27 sie 2024 · The mathematics option is designed to give students an understanding of the broad outlines of modern mathematics, to introduce current research and to prepare them for advanced work in pure mathematics or related fields.
The second term discusses rings and modules and includes a proof that principal ideal domains have unique factorization and the classification of finitely generated modules over principal ideal domains. The third term covers field theory and Galois theory, plus some special topics if time permits.
Prerequisites: Ma 2, Ma 3 or instructor's permission. This is a research-oriented course meant for undergraduates and beginning graduate students who want to learn about current research topics in networks such as the Internet, power networks, social networks, etc.
