Jun 19—Oct 16, 2021


Integral Calculus and Ordinary Differential Equations for EE
Pdf 201.1.9681 5.0 Credits

Dr. Dennis Gulko

  • יום ד 12:00 - 10:00 in צוקר, גולדשטיין-גורן [72] חדר 124
  • יום ד 15:00 - 13:00 in צוקר, גולדשטיין-גורן [72] חדר 124
  • יום ב 15:00 - 13:00 in צוקר, גולדשטיין-גורן [72] חדר 212
  • יום ב 12:00 - 10:00 in צוקר, גולדשטיין-גורן [72] חדר 212

  1. The Riemann integral: Riemann sums, the fundamental theorem of calculus and the indefinite integral. Methods for computing integrals: integration by parts, substitution, partial fractions. Improper integrals and application to series. 2. Uniform and pointwise convergence. Cauchy criterion and the Weierstrass M-test. Power series. Taylor series. 3. First order ODE’s: initial value problem, local uniqueness and existence theorem. Explicit solutions: linear, separable and homogeneous equations, Bernoulli equations. 4. Systems of ODE’s. Uniqueness and existence (without proof). Homogeneous systems of linear ODE’s with constant coefficients. 5. Higher order ODE’s: uniqueness and existence theorem (without proof), basic theory. The method of undetermined coefficients for inhomogeneous second order linear equations with constant coefficients. The harmonic oscillator and/or RLC circuits. If time permits: variation of parameters, Wronskian theory.


  • Courses marked with (*) are required for admission to the M.Sc. program in Mathematics.
  • The M.Sc. degree requires the successful completion of at least 2 courses marked (#). See the graduate program for details
  • The graduate courses are open to strong undergraduate students who have a grade average of 85 or above and who have obtained permission from the instructors and the head of the teaching committee.
  • Please see the detailed undergraduate and graduate programs for the for details on the requirments and possibilities for complete the degree.