Stony Brook University 4 credits MAT
A careful study of the theory underlying calculus. The real number system. Basic properties of functions of one real variable. Differentiation, integration, and the inverse theorem. Infinite sequences of functions and uniform convergence. Infinite series. Metric spaces and compactness. This course is a more demanding alternative of MAT 319 , suitable for students who are comfortable with rigorous proofs. Students wishing to enroll in MAT 320 should instead enroll in MAT 319 . In approximately the 6th week, an assessment will be held and qualified students will be offered the option of moving to MAT 320. 4 credits Prerequisite: B or higher in MAT 200 or MAT 250 or permission of instructor; C or higher in one of the following: MAT 203 , MAT 211 , 220, MAT 307 , AMS 261 , or A- or higher in MAT 127 , MAT 132 , 142, or AMS 161
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