# 10142 Calculus for Students of Economics and Management 1

**Credits**: 3 introductory credits in Economics or in Management

**Prerequisites**: none

Required: Basic knowledge of mathematics (algebra) on **at least** a 3-point matriculation level.2

**Authors**: Uzi Segal, Yehezkel Noiman

The course provides students of economics and management with the background in calculus necessary for their undergraduate studies.

**Topics**: **Functions** – introduction, graphs, linear and quadratic functions, exponents and logarithms, composite functions, inverse functions; **Derivatives** – introduction, differentiation rules, monotone functions, concave and convex functions, extrema, inflexion points, elasticity; **Two-variable functions** – introduction, constant value curves, partial derivatives, the implicit function theorem, extrema of two-variable functions, Lagrange multipliers, homogeneous functions; **Integration** – antiderivatives, the indefinite integral, methods of integration, the definite integral and its applications; First order differential equations.

1There is some overlap in the content of this and other courses. For details, see Overlapping Courses.

2Students who studied high school Mathematics at the 3-point level, and at the 4- or 5-point level but who have not reviewed the material for a long time or whose matriculation grades were low, are advised to take the **Mathematics Refresher Workshop for Social Science Students** (95001) before taking this course.