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Syllabus CALCULUS B (EXTENDED) - 71745
עברית
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Last update 23-04-2018
HU Credits: 4

Degree/Cycle: 1st degree (Bachelor)

Responsible Department: environmental economics & management

Semester: 2nd Semester

Teaching Languages: Hebrew

Campus: Rehovot

Course/Module Coordinator: Dr. Anna Gourevitch

Coordinator Email: anna.gourevitch@mail.huji.ac.il

Coordinator Office Hours: Wednesday 11:00-12:00

Teaching Staff:
Dr.

Course/Module description:
The definite integral; Indefinite integral; The fundamental theorem of the
integral calculus; Integration methods; Multivariable functions; Contour Lines; Extremum of functions without and with constrains; Homogeneous functions and Euler theorem.

Course/Module aims:
To introduce the definite and indefinite integral; To present the multivariable function; To define contour lines, partial derivatives and differentials. To solve optimization problems with and without constrains; To define homogenous functions .

Learning outcomes - On successful completion of this module, students should be able to:
Calculate integrals of single variable functions; Calculate partial derivatives using the chain rule; Calculate differentials and the derivative of implicit functions; Find the optimal value of a multivariable function with and without constrains; Recognize a homogeneous function and it's properties.

Attendance requirements(%):
100

Teaching arrangement and method of instruction: Lecture and exercises

Course/Module Content:
Integration : Indefinite Integrals ;Integration by parts ;The method of substitution ; The method of partial fraction ; The definite integral; The fundamental theorem of
The integral Calculus ; Area between curves.
Functions of several variables : Domain , Level curves . Partial derivatives : The
chain rule . Extreme values :Classifying critical points ;Extreme values with
constraints ; The derivation of the implicit function; Homogeneous functions .


Required Reading:
חוברת סיכומים ותרגילים:
חדו"א מורחב א' + ב' - נ. קרביצקי וי. ריבלין- רחובות תשע"ו.

Additional Reading Material:
קון וזעפרני - חדו"א 1 + 2 ( 1993). הוצאת בק, חיפה .

סטופ יונתן -מתמטיקה לכלכלנים א'(1988). הוצאת אקדמון , ירושלים .
אנטון הוארד חדו"א א'-האוניברסיטה הפתוחה.

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
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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