Calculus 1 for engineering
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.
- Limit of a function, continuity.
- Derivative, basic derivative formulas.
- Derivative of an inverse function; derivative of a composite function, the chain rule; derivative of an implicit function.
- Derivatives of high order.
- The mean value problem theorem. Indeterminate forms and l’Hopital’s rule.
- Rise and fall of a function; local minimal and maximal values of a function.
- Concavity and points of inflection. Asymptotes. Graphing functions.
- Linear approximations and differentials. Teylor’s theorem and approximations of an arbitrary order.
- Indefinite integrals: definition and properties.
- Integration methods: the substitution method, integration by parts.
- Definite integrals. The fundamental theorem of integral calculus (Newton-Leibniz’s theorem).
- Calculating areas.
Thomas & Finney, Calculus and Analytic Geometry, 8th Edition, Addison-Wesley (World Student Series).
- University course catalogue:
- 2021–22–A (Prof. Tom Meyerovitch)
- 2020–21–B (Dr. Irena Lerman)
- 2020–21–A (Prof. Yair Glasner)
- 2018–19–B (Dr. Dennis Gulko)
- 2018–19–A (Prof. Amnon Besser)
- 2017–18–B (Dr. Irena Lerman)
- Mechanical engineering
- Chemical engineering
- Industrial engineering
- Material engineering
- Biotechnology engineering
- Structural engineering
- Faculty - Engineering
- Faculty - Natural sciences
- Brain and Cognitive Sciences
- Software and information systems engineering