C**ourse description:** This class will cover the
mathematics you need to succeed in

Intermediate Macroeconomics, Intermediate Microeconomics, and upper level
electives in

Economics. We start with the basics: algebra , solving equations, and graphing.
Other

topics include differentiation , functions and financial mathematics. We will
make extensive

use of examples in Economics to solidify the concepts. These include equilibrium
in various

markets, elasticities, comparative statics, and optimization.

**Course prerequisites:** There are no prerequisites
for this class

**Class meetings:** This class will meet Mondays and
Wednesdays from 10:35-11:50 am.

**Office Hours:** TBA.

**Textbook:** The required text for this class is:
Essential Mathematics for Economics and

Business, third edition, by Teresa Bradley. It is available at the Columbia
University Book Store.

**Evaluation:** Your grade in this class will depend on
your performance on: 2 midterm

exams (each 25%), a cumulative final (40%), and weekly problem sets (10%). Late
problem

sets will not be accepted. The lowest problem set grade will be dropped. There
will be no

make-up exams given. The dates of the midterms are below. The final exam will be
on the

date determined by the official schedule. Please note that after I submit final
grades, I will

not respond to emails regarding them.

**Teaching assistant:** TBA.

**Honor code:** I value Barnard’s Honor Code for the
integrity it fosters. All exams and

assignments in this class are to be completed in accordance with the Barnard
Honor Code.

Columbia students commit themselves to the Honor Code upon registering for a
Barnard

course. The codes says, in part:

“We consider it dishonest to ask for, give, or receive
help in examinations or

quizzes, to use any papers or books not authorized by the instructor in
examinations,

or to present oral work or written work that is not entirely our own,

unless otherwise approved by the instructor. We consider it dishonest to remove

without authorization, alter, or deface library and other academic materials.”

**(Rough) Schedule of Topics to be Covered**

(Chapter numbers in (.) )

(Check courseworks intro page regularly for updates)

**WEEK 1: Sept 3:**

• Preliminaries (1)

— Arithmetic operations and fractions

— Solving equations and inequalities

— Working with percentages

**WEEK 2: Sept 8, 10:**

• Graphing Linear Equations (2)

— The equation of the line

— Graphs

— Applications: supply and demand, elasticity

**WEEK 3: Sept 15, 17:**

• Simultaneous equations (3)

— Two equations in two unknowns

— Three equations in three unknowns

— Applications: equilibrium and its implications

**WEEK 4: Sept 22, 24:**

• Non- linear equations (4)

— Polynomial , exponential and logarithmic functions

— Applications: demand and supply, growth

— Hyperbolic functions

**WEEK 5: Sept 29, Oct 1**

**• October 1: Rosh Hashanah, no class**

• Differentiation (6)

— Definition and rules

— Higher derivatives

**WEEK 6: Oct 6, 8:**

• Applications of Derivatives (6)

— Marginal and average functions

— Optimization

**WEEK 7: Oct 13, 15:**

• October 13: Midterm exam 1

• Applications of Derivatives cont’d (6)

— Maximums and minimums: profits

— Curvature and second derivatives: costs

**WEEK 8: Oct 20, 22:**

• Applications of Derivatives cont’d (6)

— Derivatives of functions

— More rules

**WEEK 9: Oct 27, 29:**

• Applications of Derivatives cont’d (6)

— Elasticity and functions

**WEEK 10: Nov 3, 5:**

**• November 3: Election Day Holiday**

• Functions of several variables (7)

— Partial derivatives

— Applications: marginal values, returns to scale, elasticities

**WEEK 11: Nov 10, 12:**

• Functions of several variables cont ’d (7)

— Unconstrained optimization

— Applications: profit and revenue

**WEEK 12: Nov 17, 19:**

• November 17: Midterm exam 2

• Functions of several variables cont’d (7)

— Constrained optimization

— Applications: utility, cost, budget constraints

**WEEK 13: Nov 24, 26:**

• November 26: Thanksgiving Holiday

• Financial Mathematics (5)

— Arithmetic and geometric series

— Simple and compound interest

— Net present value and internal rate of return

**WEEK 14: Dec 1, 3**

• Financial Mathematics cont ’d (5)

— Annuities, repayments

— Bond prices

**WEEK 15: Dec 8:**

• Catch-up and Review