ECON 1530 Lecture Notes - Lecture 1: Rational Number, Natural Number, Real Number

Other examples of rational numbers are: the rational numbers can also be represented on the number line. Imagine that we first mark 1/2 and all the mul

ECON 1530 Lecture Notes - Lecture 2: Elementary Algebra, Multiplication Sign, Natural Number

ECON 1530 Lecture Notes - Lecture 3: Growth Factor, Applied Mathematics

ECON 1530 Lecture Notes - Lecture 4: Algebraic Expression

ECON 1530 Lecture 5: ECON 1530 Lecture 5 Notes – Fractions

ECON 1530 Lecture Notes - Lecture 6: Nth Root, Rational Number, Cube Root

ECON 1530 Lecture Notes - Lecture 7: Negative Number, Solution Set

Econ 1530 lecture 7 notes inequalities and sign diagrams. Introduction: the real numbers consist of the positive numbers, 0, and the negative numbers. 

ECON 1530 Lecture 9: ECON 1530 Lecture 9 Notes – Double Inequalities, Intervals and Absolute Values and Absolute Value

Econ 1530 lecture 9 notes double inequalities, intervals and absolute values and absolute. Introduction: two inequalities that are valid simultaneously

ECON 1530 Lecture Notes - Lecture 10: Algebraic Equation

ECON 1530 Lecture Notes - Lecture 13: Macroeconomic Model, Exogeny, Equation

ECON 1530 Lecture 14: ECON 1530 Lecture 14 Notes – Quadratic Equations, Harder Cases and The General Case

Econ 1530 lecture 14 notes quadratic equations, harder cases and the general case. Introduction: this lecture reviews the method for solving quadratic 

ECON 1530 Lecture Notes - Lecture 15: Quadratic Function

ECON 1530 Lecture Notes - Lecture 17: Quadratic Equation, Summation

ECON 1530 Lecture Notes - Lecture 18: 0 (Year), 3I, Summation

ECON 1530 Lecture Notes - Lecture 19: Natural Number, Blaise Pascal

ECON 1530 Lecture Notes - Lecture 20: Semicolon

Econ 1530 lecture 20 notes double sums, a few aspects of logic and propositions. If instead we add the numbers in each of the n columns first and then 

ECON 1530 Lecture Notes - Lecture 21: Logical Consequence, Logical Equivalence, If And Only If

ECON 1530 Lecture Notes - Lecture 22: Logical Truth, Validity

Econ 1530 lecture 22 notes mathematical proofs. Introduction: example, find all x such that, solution, squaring both sides of the given equation yields

ECON 1530 Lecture Notes - Lecture 23: Mathematical Proof, Inductive Reasoning, Deductive Reasoning

Econ 1530 lecture 23 notes deductive vs. inductive reasoning, specifying a property, set. Introduction: the two methods of proof just outlined are both

ECON 1530 Lecture Notes - Lecture 25: Venn Diagram, Georg Cantor, Richard Dedekind

Econ 1530 lecture 25 notes venn diagrams and cantor. It will be easier to verify this equality after you have read the following discussion of mathemat

ECON 1530 Lecture Notes - Lecture 26: Mathematical Induction, Natural Number

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Economics

This course presents and analyzes a sequence of basic ideas, topics and problems arising in Economics. For each idea/topic/problem relevant mathematical ideas and techniques are recalled and/or derived so as to provide a deeper understanding of the Economic issue and how it can be resolved, if necessary. The notion of Quantity Demanded is first addressed by expressing quantity demanded as a linear function of price where both the slope and intercept embed important Economics ideas. This sequence leads naturally to the notion of Revenue (the product of quantity demanded and price) where nonlinear functions are analyzed using mathematical techniques that include derivatives. This sequence culminates with notions of prices that maximize revenue subject to a given demand function. A large number of such topic sequences involving univariate functions are examined.

Introductory Mathematical Economics I

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