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HU Credits:
1
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Environmental Economics & Management
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
Rehovot
Course/Module Coordinator:
Dr. Evsey Kosman
Coordinator Office Hours:
by appointment
Teaching Staff:
Mr.
Course/Module description:
Real numbers. Functions. Limits. Continuity. Derivatives. The technique of differentiation. Investigation of functions. Maxima and minima.
Course/Module aims:
Exercises aimed at: Introduce the functions of a single variable; Define limits; Define the derivative; To know the fundamental theorems of the differential calculus; Investigate functions.
Learning outcomes - On successful completion of this module, students should be able to:
Calculate limits of single variable functions; Calculate derivatives; Investigate a function; Prove simple mathematical proofs using the fundamental theorems of the Calculus.
Attendance requirements(%):
80%
Teaching arrangement and method of instruction:
Exercises
Course/Module Content:
1.Introduction - The real numbers: groups of numbers, Sup, Inf, Max, Min.
2.The function - Domain, Image, One to one functions, Bounded functions, Monotonic functions, Odd and Even functions, Inverse functions, Periodic functions, Elementary functions.
3.Limits.
4.Continuity - The theorem of Cauchy. The Theorem of Weirtrass.
5.Derivatives: Differentiation rules, The tangent line, The chain rule, Derivatives of inverse functions. The theorems of Fermat, Rolle, Lagrange and L'Hospital.
Critical points and extreme values. Convexity, Concavity.
Required Reading:
no
Additional Reading Material:
Course/Module evaluation:
End of year written/oral examination 100 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
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