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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
Mt. Scopus
Course/Module Coordinator:
Avi Levi
Coordinator Office Hours:
Monday
Teaching Staff:
Avraham Levi
Course/Module description:
Introduction to Mathematics, including reviewing the following topics: abridged multiplication formulas, handling algebraic fractions, solving equations, solving inequaities, one-dimensional functions, functions in several variables.
Course/Module aims:
Imparting mathematical tools for graduate studies in public policy
Learning outcomes - On successful completion of this module, students should be able to:
Solve first and second order equations with one or two unknowns
Solve inequalities of the first and second order.
Calculate the derivative of elementary functions, derivatives of product of functions, complex functions.
Finding local and global exterme points of functions and makin a full investigation of functions, including inflection points, convexity, asymptotes.
Apply this research to draw a sketch of the graph.
Solve Minimum-Maximum problems in a single variable.
Define a function in several variables. Find local and global extreme points of such functions.
Find extreme points of a function in several variables under the constraint by using direct method and by using the Lagrange multiplier method.
Apply learned material to solve the economic problems
Attendance requirements(%):
100%
Teaching arrangement and method of instruction:
Lecture
Course/Module Content:
Part I - Algebra
• abbreviated multiplication formulas, algebraic fractions.
• Solving equations - equations with one unknown (the first degree, quadratic equations, equations with two unknowns.
• inequalities -solution - first and second order inequalities.
Section II - Analysis
• one-dimensional function - function concept. Domain and range of the function. Graphs of elementary functions.
• derivations - derivatives of elementary functions, applications to functions exploration and maximum and minimum problems.
• functions in several variables - a field setting, partial derivatives, extreme extreme points, points of stress under the constraints (Lagrange multipliers).
Required Reading:
•Beni Goren, Mathematics (4 and 5 points), Questionnaire E.
•Howard Anton, Calculus with Analytic Geometry, John Wiley & Sons, 5th ed 1995
Additional Reading Material:
No additional 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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