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  \huge{The Department of Mathematics}\\[0.1\baselineskip]
  \Large{2025--26--B term}\\[0.2\baselineskip]

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\begin{description}
  \item[Course Name]
    Integral Calculus and Ordinary Differential Equations for EE

  \item[Course Number]
    \LRE{212‭.1‭.9681}

  \item[Course web page]\mbox{}\\
    \url{https://math.bgu.ac.il//en/teaching/spring2026/courses/integral-calculus-and-ordinary-differential-equations-for-ee}


\item[Office Hours]
  \url{https://math.bgu.ac.il/en/teaching/hours}
\end{description}

\section*{Abstract}




\section*{Requirements and grading\footnote{Information may change during the first two weeks of the term. Please consult the webpage for updates}}






\section*{Course topics}

\begin{enumerate}
\item{} 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.
\end{enumerate}

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