1 The Mathematics of Economics

1.1 Types of economic analysis

Practice Problems

No practice problems for this section.

External Resources

No external resources for this section.

1.2 Mathematical terminology

Practice Problems

No practice problems for this section.

External Resources

No external resources for this section.

1.3 An Algebra review: Functions

Practice Problems

No practice problems for this section.

External Resources

Khan Academy: What is a Function?

Khan Academy: Equations versus Functions

Khan Academy: What is the Domain of a Function?

Khan Academy: What is the Range of a Function?

Khan Academy: Intro the End Behavior of Polynomials

1.4 An Algebra review: exponents

Practice Problems

Problem 1.4.1: For each of the following, simplify the exponent into the smallest number of terms possible. Additionally, there should be no negative exponents.

a) $(x^2y^5)^3$
b) $(3x^3y^2z^5)^2$
c) $(\frac{12x^2y^3z}{6xy^3z^2})^2$
d) $(x^{1/2}yz^{1/3})^{2}$
e) $(x^{5/2}y^{7/3}z^{2/5})^0$
f) $x^{-3}(x^2)^{-2}$
g) $\frac{x^2y^{-4}z^{-2}}{x^3y^2z^{-4}}$
h) $x^{2/3}\sqrt{x^5}$

Solutions

a) $x^{6}y^{15}$
b) $9x^{6}y^{4}z^{10}$
c) $\frac{4x^{2}}{z^{2}}$
d) $xy^{2}z^{2/3}$
e) $1$
f) $\frac{1}{x^{7}}$
g) $\frac{z^{2}}{xy^{6}}$
h) $x^{19/6}$

External Resources

Khan Academy: Multiplying and Dividing Powers

Khan Academy: Powers of Products and Quotients

1.5 Multivariate functions

Practice Problems

There are no practice problems for this section.

External Resources

There are no external resources for this section.

License

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Student Companion for Mathematical Economics Copyright © by J. Zachary Klingensmith is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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