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\begin{center}

  \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]
    Calculus 1 for engineering

  \item[Course Number]
    \LRE{214‭.1‭.9711}

  \item[Course web page]\mbox{}\\
    \url{https://math.bgu.ac.il//en/teaching/spring2026/courses/diffrential-and-integral-calculus-me1}


\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}

In this course the basic concepts of one-dimensional analysis (a limit, a derivative, an integral) are introduced and explored in different applications: graphing functions, approximations, calculating areas etc.

\begin{enumerate}
\item{} Limit of a function, continuity.
\item{} Derivative, basic derivative formulas.
\item{} Derivative of an inverse function; derivative of a composite function, the chain rule; derivative of an implicit function.
\item{} Derivatives of high order.
\item{} The mean value problem theorem. Indeterminate forms and l'Hopital's rule.
\item{} Rise and fall of a function; local minimal and maximal values of a function.
\item{} Concavity and points of inflection. Asymptotes. Graphing functions.
\item{} Linear approximations and differentials. Teylor's theorem and approximations of an arbitrary order.
\item{} Indefinite integrals: definition and properties.
\item{} Integration methods: the substitution method, integration by parts.
\item{} Definite integrals. The fundamental theorem of integral calculus (Newton-Leibniz's theorem).
\item{} Calculating areas.
\end{enumerate}

\subparagraph*{Bibliography}

\textbf{Thomas \& Finney}, \emph{Calculus and Analytic Geometry}, 8th Edition, Addison-Wesley (World Student Series).

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