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HU Credits:
7
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
environmental economics & management
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
Rehovot
Course/Module Coordinator:
Dr. Anna Gourevitch
Coordinator Office Hours:
Wednesday 13:00-14:00
Teaching Staff:
Dr.
Course/Module description:
The real numbers; Functions; Limits; Derivatives; Mean Value Theorem; Linear Approximation; Investigation of functions.
Course/Module aims:
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(%):
100
Teaching arrangement and method of instruction:
Lecture and exercises
Course/Module Content:
-Introduction-The real numbers :groups of numbers- Sup , Inf , Max ,Min.
The function-Domain ,Image ,One to one functions ,Bounded functions ,-
Monotonic functions ,Odd and Even functions , Inverse functions ,Periodic functions,
Elementary functions.-Limits.
-Continuity-The theorem of Cauchy .The Theorem of Weirtrass .
-Derivatives :Differentiation rules ,The chain rule ,Derivatives of inverse functions.
Higher order derivatives .The theorems of Fermat , Rolle ,Lagrange and L'Hopital.
Critical points and extreme values .Convexity ,Concavity .The tangent line
approximation .Taylor's formula.
Required Reading:
חוברת סיכומים ותרגילים:
חדו"א מורחב א' + ב' - קרביצקי וריבלין- רחובות תשע"ו
Additional Reading Material:
סטופ יונתן -מתמטיקה לכלכלנים א'(1988). הוצאת אקדמון , ירושלים .
אנטון הוארד חדו"א א'-האוניברסיטה הפתוחה.
קון וזעפרני - חדו"א 1 + 2 ( 1993). הוצאת בק,
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:
none
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