Mathematics for Management -- Supplementary Electronic Materials

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Functions & Limits

Functions & Limits -- Structure

Functions & Graphs

Functions

The contents of this unit include: Definition of a function, its domain and range/ image Domain convention Composition of functions

The Graph of a Function

The contents of this unit include: Definition of the graph of a function Vertical line test Piece-wise defined functions x- and y-intercepts

Lines & Linear Functions

The contents of this unit include: Slope-intercept form of the equation of a line Point-slope form of the equation of a line Parallel and perpendicular lines

Functional Models

The contents of this unit include: Mathematical modeling Proportionality Demand and supply function - market equilibrium Law of demand and supply Break even analysis

Worked-Out Exercises

worked out exercises

Limits & Continuity

Note, the concepts "limits" and "continuity" are studied in an intuitive way. For a study beyond the scope of our Calculus courses often a more rigorous discussion is required.

Limits

The contents of this unit include: Definition of the limit of a function Jump discontinuity and infinite limits Properties of limits Limits of linear functions, polynomials, and rational functions

Limits at Infinity

The contents of this unit include: Definition of limits at infinity Horizontal asymptotes Reciprocal limits rules Procedure for evaluating a limit at infinity of a rational function

One-sided Limits

The contents of this unit include: Inutivie motivation of a continuous functions Definition of one-sided limits Existence of a limit Infinite limits (two-sided and one-sided)

Continuity

The contents of this unit include: Definition of continuous functions Reversing the order of limits and function evaluations Composition of continuous functions Continuity on an interval The Intermediate Value Property (IVP)

Worked-Out Exercises

worked out exercises

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