CRN |
94340 |
Distribution |
E /*(Math/Computing) |
Course
No. |
MATH / HPS 137 Q course |
||
Title |
Mathematics
of the Pre-Modern Era |
||
Professor |
Jeff Suzuki |
||
Schedule |
Mon Wed 1:30 pm - 2:50 pm HEG 106 |
This course will trace the history of mathematics
by learning and
applying methods of mathematics drawn from various
civilizations, such as those of ancient Egypt, Mesopotamia, China, India,
Islam, and the premodern west. Topics covered will include numeration,
computation (including root extraction), algebra (including multilinear systems
and third and fourth degree equations), and geometry. Weekly homework assignments will make use of algebra, geometry,
and precalculus. Prerequisites: Precalculus or permission of the
instructor.
CRN |
94337 |
Distribution |
E/G /*(Math/Computing) |
Course
No. |
MATH 141
A Q
course |
||
Title |
Calculus
I |
||
Professor |
Lauren Rose |
||
Schedule |
Mon Wed 1:00 pm - 2:50 pm ALBEE 106 |
An introduction to the basic ideas of
differentiation and integration in one variable. Topics include limits,
techniques of differentiation, definite integrals, the fundamental theorem of
calculus, and applications.
Prerequisite: Precalculus or the
equivalent.
CRN |
94338 |
Distribution |
E/G /*(Math/Computing) |
Course
No. |
MATH 141 B Q course |
||
Title |
Calculus
I |
||
Professor |
Sheila Sundaram |
||
Schedule |
Tu Th 1:00 pm – 2:50 pm ALBEE 106 |
See description above.
CRN |
94339 |
Distribution |
E/G /*(Math/Computing) |
Course
No. |
MATH 142 Q course |
||
Title |
Calculus
II |
||
Professor |
Ethan Bloch |
||
Schedule |
Mon Wed 1:30 pm - 3:20 pm HEG 102 |
This course, a
continuation of Calculus I, reinforces the fundamental ideas of the derivative
and the definite integral. Topics
covered include L'Hopital's rule, integration techniques, improper integrals,
volumes, arc length, sequences and series, power series, continuous random variables, and separable differential
equations.
Prerequisites: Mathematics 141 or the equivalent.
CRN |
94341 |
Distribution |
E /*(Math/Computing) |
Course
No. |
MATH 212 Q course |
||
Title |
Calculus
III |
||
Professor |
Sheila Sundaram |
||
Schedule |
Tu Th 8:30 am - 10:20 am HEG 102 |
This course investigates differentiation and
integration of multivariable functions. Topics covered include vectors,
coordinate systems, vector valued functions, partial derivatives, gradients,
Lagrange multipliers, multiple integrals, change of variables, line integrals,
Green’s theorem, and Stoke’s theorem.
Prerequisite: Mathematics 141
and 142 or the equivalent.
CRN |
94342 |
Distribution |
E /*(Math/Computing) |
Course
No. |
MATH 261 Q course |
||
Title |
Proofs
and Fundamentals |
||
Professor |
Lauren Rose |
||
Schedule |
Tu Th 1:30 pm - 2:50 pm HEG
106 |
This course introduces students to the methodology
of mathematical proof. The logic of compound and quantified statements,
mathematical induction, and basic set theory including functions and
cardinality are covered. Topics from foundational mathematics are developed to
provide students with an opportunity to apply proof techniques.
Prerequisite: Mathematics 141
and 142, or permission of instructor.
CRN |
94046 |
Distribution |
A/E
*(Math/Computing) |
Course
No. |
ECON / MATH 270 Q course |
||
Title |
Game
Theory: Understanding Strategic Interaction |
||
Professor |
Gautam Sethi |
||
Schedule |
Mon Wed 4:30 pm - 5:50 pm HEG 102 |
Cross-listed:
Environmental Studies, Political Studies
Game theory is about situations of strategic
interaction, where your best strategy is dependent on the strategies adopted
by other players. By the same logic, the best
strategy of another player depends on the strategy adopted by you. By
transitivity, your best strategy depends on the strategy adopted by you (and
others). This interdependence of action leads to circular chains of reasoning,
which can be “cut” by using game-theoretic concepts such as dominance, Nash
equilibria, backwards induction, subgame perfect equilibria, and perfect
Bayesian equilibria. Throughout the course these concepts will be conveyed using
examples from several fields including economics, politics, environmental
studies, business, biology, philosophy and from real-life. For example, we will
analyze strategic behavior using games such as tennis and poker, wars of
attrition such as the Palestinian-Israeli conflict and the Presidential
election campaign, bidding in auctions like eBay, fish schooling behavior and
job market signaling. Calculus will be used about 5 or 6 times during the
semester, but a good grasp of algebra and proficiency with (sometimes long)
chains of logic will suffice rest of the time. Prerequisites: This is a
Q-course. A good grasp of pre-calculus algebra, a basic familiarity with
calculus, and the instructor’s consent.
CRN |
94344 |
Distribution |
E /*(Math/Computing) |
Course
No. |
MATH 331 Q course |
||
Title |
Linear
Algebra |
||
Professor |
Ethan Bloch |
||
Schedule |
Tu Th 1:30 pm - 2:50 pm PRE
128 |
This course gives an introduction to the theory of abstract vector spaces. The concept of a vector space is often useful when studying physical phenomena. Topics covered will include linear independence and dependence, bases and dimension, linear transformations, eigenvalues, eigenvectors, diagonalization, inner product spaces, and orthogonality.
Prerequisite: Mathematics 261 or
permission of the instructor.
CRN |
94345 |
Distribution |
E /*(Math/Computing) |
Course
No. |
MATH 361 Q course |
||
Title |
Real
Analysis |
||
Professor |
Mark Halsey |
||
Schedule |
Wed Fr 10:00 am - 11:20 am HEG 201 |
An introduction to the rigorous study of functions
of real variables. Topics include the topology of Euclidean spaces, continuity,
convergence, and the Riemann integral. Proofs will be emphasized.
Prerequisite: Mathematics 261 or
permission of the instructor.