INTRODUCTION TO ANALYSIS

The topological structure of the real line, compactness, connectedness, functions, continuity, uniform continuity, sequences and series of functions, uniform convergence, introduction to Lebesgue measure and integration. Prerequisites: MTH 211 and MTH 212, or permission of the instructor. MTH 153 is strongly encouraged.

PROBABILITY

Same as MTH 246. An introduction to probability, including combinatorial probability, random variables, discrete and continuous distributions. Prerequisites: MTH 153 and MTH 212 (may be taken concurrently), or permission of the instructor.

PROBABILITY

Same as SDS 246. An introduction to probability, including combinatorial probability, random variables, discrete and continuous distributions. Prerequisites: MTH 153 and MTH 212 (may be taken concurrently), or permission of the instructor.

CALCULUS III

Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two and three dimensional space, vector functions, double and triple integrals, polar, cylindrical, spherical coordinates. Path integration and Green’s Theorem. Prerequisites: MTH 112. It is suggested that MTH 211 be taken before or concurrently with MTH 212.

CALCULUS III

Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two and three dimensional space, vector functions, double and triple integrals, polar, cylindrical, spherical coordinates. Path integration and Green’s Theorem. Prerequisites: MTH 112. It is suggested that MTH 211 be taken before or concurrently with MTH 212.

LINEAR ALGEBRA

Vector spaces, matrices, linear transformations, systems of linear equations. Applications to be selected from differential equations, foundations of physics, geometry and other topics. Students may not receive credit for both MTH 211 and MTH 210. Prerequisite: MTH 112 or the equivalent, or MTH 111 and MTH 153; MTH 153 is suggested. Enrollment limit of 25 students.

LINEAR ALGEBRA

Vector spaces, matrices, linear transformations, systems of linear equations. Applications to be selected from differential equations, foundations of physics, geometry and other topics. Students may not receive credit for both MTH 211 and MTH 210. Prerequisite: MTH 112 or the equivalent, or MTH 111 and MTH 153; MTH 153 is suggested. Enrollment limit of 25 students.
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