Analysis and Probability

  • MTH 241: Real Analysis I. Description: Measures; Lebesgue integral; L<^>p spaces; Daniell integral, differentiation theory, product measures. Not open to students who have taken the former Mathematics 281. Prerequisites: Mathematics 204 or equivalent.
  • MTH 242: Real Analysis II. Description: Metric spaces, fixed point theorems, Baire category theorem, Banach spaces, fundamental theorems of functional analysis, Fourier transform. Not open to students who have taken the former Mathematics 282. Prerequisites: Mathematics 241 or equivalent.
  • MTH 245: Complex Analysis. Description: Complex calculus, conformal mapping, Riemann mapping theorem, Riemann surfaces. Not open to students who have taken Mathematics 285. Prerequisites: Mathematics 204 or equivalent.
  • MTH 287: Probability. Description: Random variables, independence, expectations, laws of large numbers, central limit theorem, Markoff chains. Not open to students who have taken Mathematics 290. Prerequisites: Mathematics 241 or equivalent.