Math 136 Fall 2003 Schedule

Prof Ward

Week 1
  • Complex Arithmetic, Chapter 1
Week 2
  • Analytic Functions, Sections 2.1 - 2.3
  • The Cauchy-Riemann Equations, Harmonic Functions, Sections 2.4, 2.5
Week 3
  • Elementary Functions: Exponential, Trigonometric, and Hyperbolic Functions, Sections 3.1, 3.2
  • The Logarithm, Elementary Harmonic Functions, Complex Powers, Inverse Trigonometric and Hyperbolic Functions, Sections 3.3 - 3.5
Week 4
  • Contours in the Complex Plane, Section 4.1
  • Contour Integrals, Independence of Path, Sections 4.2, 4.3
Week 5
  • Cauchy's Theorem, Cauchy's Integral Formula, Sections 4.4b, 4.5
  • Consequences of Cauchy's Integral Formula, Section 4.5
  • Takehome Midterm
Week 6
  • Bounds for Analytic Functions, Section 4.6
  • Sequences and Series, Taylor Series Sections 5.1, 5.2
Week 7
  • Taylor Series, Power Series, Sections 5.2, 5.3
  • Power Series, Laurent Series, Sections 5.3, 5.5
Week 8
  • Fall Break (Monday and Tuesday)
  • Laurent Series, Zeroes and Singularities, Sections 5.5, 5.6
Week 9
  • Zeroes and Singularities, The Residue Theorem, Sections 5.6, 6.1
  • Residues, Certain Real Improper Integrals, Sections 6.1, 6.3
Week 10
  • Real Improper Integrals, Trigonometic Integrals over [0, 2Pi], Sections 6.3, 6.1
  • Trigonometric Integrals over (-infinity, infinity), Indented Contours, Sections 6.4, 6.5
  • Takehome Midterm
Week 11
  • Integration of Multiple-Valued Functions, Conformal Mapping, Sections 6.6, 7.1
  • Conformal Mapping, Laplace's Equation, Sections 7.1, 7.2
Week 12
  • Moebius Transformations, Sections 7.3, 7.4
  • The Schwarz-Christoffel Transformation, Section 7.5
Week 13
  • 2-D Fluid Flow, Sections 7.6, 7.7
  • 2-D Fluid Flow, Electrostatics, Heat Flow, Sections 7.6, 7.7
  • Thanksgiving (Thursday and Friday)
Week 14
  • The Fourier Transform, Section 8.2
  • The Fourier Transform: Applications to PDEs, Section 8.2
Week 15
  • The Laplace Transform, Section 8.3
  • The Laplace Transform: Applications to ODEs, Section 8.3
  • Takehome Final


Last modified August 2003, by ward at hmc.edu