Download B.A. Honours in Economics with Specialization in Quantitative and

Carleton University
Department
of
Economics
B.A. Honours
in
Economics
with
Specialization in
Quantitative and
Mathematical
Economics
OVERVIEW
Recommended Second Year
The B.A. Honours program in Economics with
Specialization in Quantitative and Mathematical
Economics is normally completed in four years of
full-time study and provides a rigorous and intensive
grounding in the mathematical and statistical tools of
modern economics. This program is recommended to
individuals who desire the best possible preparation
for graduate studies in economics.
MATH 2007 – Elementary Calculus II
MATH 2107 – Linear Algebra II
ECON 2020 – Intermediate Microeconomics I
ECON 2102 – Intermediate Macroeconomics I
To remain in good standing and ultimately graduate,
students must maintain a minimum major CGPA
determined by 15.0 required credits in Economics
and a minimum overall CGPA. See Section 7.4
(Tables 1 and 2 in particular) of the “Academic
Regulations of the University” part of the
Undergraduate Calendar for details.
Two one-term electives (students are strongly
encouraged to take PHIL 3306 – Symbolic Logic
for 0.5 credit) or one two-term elective (1.0 credit)
Recommended First Year
FYSM 1003 or ECON 1000 * – Introduction to
Economics
MATH 1007 – Elementary Calculus I †
MATH 1107 – Linear Algebra I †
3.0 credits in electives among which the following
courses are recommended but not required:
PHIL 2001 – Introduction to Logic
COMP 1005 – Introduction to Computer Science I
COMP 1006 – Introduction to Computer Science II
* Students opting for ECON 1000 should consider
taking FYSM 1608 or FYSM 1908 [0.5] –
Selected Topics in [Applied] Economics (one of a
number of different sections described at
www.carleton.ca/first-year-seminars)
†
2013–2014
Students registered in ArtsOne may delay taking
MATH 1007 and MATH 1107 until the Fall term
of their second year. Students who have earned a
grade of 85% or higher in pre-university calculus
are encouraged but not required to take
MATH 1002 – Calculus
MATH 1102 – Algebra
instead of MATH 1007 and MATH 1107 (and
MATH 2007 and MATH 2107).
ECON 2030 – Intermediate Microeconomics II
ECON 2103 – Intermediate Macroeconomics II
ECON 2400 – Mathematical Methods of Economics
MATH 3107 – Linear Algebra III
Recommended Third Year
MATH 2000 – Calculus and Introductory Analysis II
STAT 2655 – Introduction to Probability with
Applications
MATH 2454 – Ordinary Differential Equations
ECON 4001 – Mathematical Analysis in Economics
0.5-credit elective
STAT 2559 – Basics of Statistical Modeling
MATH 3001 – Real Analysis
ECON 4020 – Advanced Microeconomic Theory
ECON 4021 – Advanced Macroeconomic Theory
Recommended Fourth Year
ECON 4706 – Econometrics I
ECON 4707 – Econometrics II
ECON 4901 – Honours Seminar: Microeconomics ‡
ECON 4902 – Honours Seminar: Macroeconomics ‡
ECON 4002 – Statistical Analysis in Economics
STAT 3506 – Stochastic Processes and Applications
1.5 credits in 4000-level Economics electives
including at least one of:
ECON 4004 – Operations Research I
ECON 4005 – Operations Research II
ECON 4700 – Measurement Economics
ECON 4713 – Time-Series Econometrics
ECON 4714 – Adv. Topics in Applied Econometrics
0.5-credit elective [students are encouraged to take
ECON 4025 – Game Theory and Economics or
MATH 4807 – Game Theory (Honours)]
‡
Students may replace the ECON 4901 and
ECON 4902 requirement with ECON 4908 –
Honours Essay. To qualify for this option, students
must have overall and major CGPAs of 9.50 or
higher, good research and writing skills, and be
able to select the topic, conduct the research, and
write the essay with a minimum of supervision. A
grade of B- or higher is required to satisfy the
relevant program requirement.
COURSE DESCRIPTIONS
MATH 1007 – Elementary Calculus I
Limits. Differentiation of the elementary functions.
Rules of differentiation. Applications of
differentiation: max-min problems, curve sketching,
approximations. Definite and indefinite integrals,
integration by substitution.
STAT 2655 – Introduction to Probability with
Applications
Axioms of probability, basic combinatorial analysis,
conditional probability and independence, discrete
and continuous random variables, joint and
conditional distributions, expectation, central limit
theorem, sampling distributions, simulation and
applications to descriptive statistics. A statistical
software package will be used.
Prerequisites: MATH 1002 or MATH 2007 with a
grade of C+ or higher, and MATH 1102 or
MATH 2107 with a grade of C+ or higher.
STAT 2559 – Basics of Statistical Modeling
Prerequisite: Ontario Grade 12 Mathematics:
Advanced Functions, or MATH 0005 and
MATH 0006, or equivalent.
Estimation and hypothesis testing for one and two
samples, analysis of categorical data, basics of
experimental design, analysis of variance, simple
linear regression and correlation. Nonparametric
procedures. A statistical software package will be
used.
MATH 1107 – Linear Algebra I
Prerequisite: STAT 2655 or permission of the School
of Mathematics and Statistics.
Systems of linear equations; vector space of n-tuples,
subspaces and bases; matrix transformations, kernel,
range; matrix algebra and determinants. Dot product.
Complex numbers (including de Moivre’s Theorem,
and n-th roots). Eigenvalues, diagonalization and
applications.
Prerequisite: Ontario Grade 12 Mathematics:
Advanced Functions, or MATH 0005 and
MATH 0006, or equivalent, or permission of the
School of Mathematics and Statistics.
MATH 3001 – Real Analysis
Metric spaces and their topologies, continuous maps,
completeness, compactness, connectedness,
introduction to Banach spaces.
Prerequisite: MATH 2000 or permission of the
School of Mathematics and Statistics.
STAT 3506 – Stochastic Processes and
Applications
Conditional probability and conditional expectation;
Stochastic modeling; discrete time Markov chains
including classification of states, stationary and
limiting distributions; exponential distribution and
the Poisson processes; queueing models; applications
to computer systems, operations research and social
sciences.
Prerequisite: STAT 2655; or a CGPA of 6.00 or
higher over the three courses MATH 2007,
MATH 2107 or MATH 1102, and STAT 2605; or
permission of the School of Mathematics and
Statistics.
ECON 4004 – Operations Research I
Linear programming, duality, sensitivity analysis,
transportation and network problems. Both theory
and a wide range of applications are studied.
Prerequisite: ECON 1402 with a grade of C- or
higher.
ECON 4700 – Measurement Economics
National accounting and index numbers. Topics may
include: the measurement of output and income,
capital and depreciation, productivity, employment
and unemployment, poverty and inequality,
household production, pollution and resource
depletion, and the balance of payments; price
indexes; standard-of-living indexes; and international
comparisons.
Prerequisites: ECON 2030 with a grade of C- or
higher, ECON 2103 with a grade of C- or higher, and
ECON 2202 (or equivalent) with a grade of C- or
higher.
ECON 4713 – Time-Series Econometrics
An introduction to the basic concepts and tools of
time-series econometrics. Topics include stationary
and non-stationary time series, identification,
estimation and forecasting, unit root testing,
cointegration analysis, error-correction models and
ARCH models, together with relevant economic
applications.
Prerequisite: ECON 4706 with a grade of C- or
higher, or STAT 3503 with a grade of C- or higher.
FOR MORE INFORMATION
… about economics at Carleton, please visit
www.carleton.ca/economics
or write to the Economics Undergraduate Supervisor,
Professor Simon Power, at
[email protected] .
Recommended Course Pattern: B.A. Honours in Economics
with Specialization in Quantitative and Mathematical Economics
Strict prerequisite
1st Year
Prerequisite may be taken concurrently
2nd Year
C-
3rd Year
C-
4th Year
C+
ECON 2020
CECON 4901
ECON 4020
ECON 1000 or FYSM 1003
ECON 2030
ECON 4021
ECON 2102
ECON 4902
C-
ECON 2103
ECON 4001
ECON 2400
C+
C+
MATH 1107*
ECON 4002
STAT 2655
C+
MATH 2107*
ECON 4706
STAT 2559
C-
MATH 1007*
C-
MATH 3107
STAT 3506
C+
ECON 4707
MATH 2454
MATH 2007*
MATH 2000 [1.0]
MATH 3001
B+
Core of B.A. Honours in Economics with Specialization in Quantitative and Mathematical Economics (13.5 credits);
1.5 additional credits in Economics at the 4000-level—including at least 0.5 credit from
ECON 4004, ECON 4005, ECON 4700, ECON 4713, ECON 4714—are also required.
* Students who have earned a grade of 85% or higher in pre-university calculus (e.g., Ontario Grade 12 U Calculus and Vectors) are encouraged to
substitute MATH 1002 and MATH 1102 for MATH 1007 & 2007 and MATH 1107 & 2107, respectively.