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Information about the
Mathematics
Major
Detailed information about the Mathematics major can be found in the
UCI catalog (see
http://www.editor.uci.edu/08-09/ps/ps.5.htm#gen0
).
Here we present an overview.
The Department of Mathematics offers the Bachelor of Science degree
in Mathematics. Within this degree program there are available five
different tracks:
-
The Mathematics (pure) major
-
The Concentration in Mathematics for Economics
-
The Specialization in Applied and Computational Mathematics
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The Specialization in Mathematics for Education
-
The Specialization in Statistics
A concentration involves interdisciplinary study; a specialization
designates
a focus within the departmental major. Both are noted on the student's
transcript, but not on the diploma.
Application forms for the Mathematics concentration or specializations are available from the Mathematics Department. An interview with a faculty advisor is required.
The lower-division requirements are essentially the same for all the tracks.
I. LOWER-DIVISION MATH REQUIREMENTS
-
Math 2A-B (Single-Variable Calculus)
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Math 2D-E or H2D-H2E (Multivariable Calculus)
-
Math 2J (Infinite Series; Basic Matrix Theory)
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Math 3D (Differential Equations)
-
Math 3A (Linear Algebra)
-
Strongly Recommended: Math 13 (Intro to Abstract Math)
EXCEPTION: Students in "Math for Education" specialization may take Math 13 in place of
Math 2E.
II. LOWER-DIVISION SCIENCE AND COMPUTER REQUIREMENT
-
One year of Physics 7 or Chem 1;
-
One quarter of computer science.
III. UPPER-DIVISION MATH REQUIREMENTS
Fifteen (15) Upper-division lecture courses in mathematics, including:
(a) The Theory of Mathematics: Seven
courses
in the two key areas of abstract algebra and analysis (4 in one area, 3
in the other). These courses focus on theory and doing proofs, and form
the heart of the math major.
(b) Breadth in Mathematics: 2 courses in a third
area, and one course in a fourth area of mathematics. (The other areas
offered are Numerical Analysis, Applied Algebra, Logic, Probability and
Statistics, and Geometry/Topology.)
(c) Mathematical Electives: 5 more upper-division
math lecture courses.
EXCEPTIONS:
-
Students in the various specialization and concentrations listed above
are required to choose their "elective" courses from restricted lists of
courses that are related to their special field of interest; and they may
need fewer of the "Theory" courses.
-
Students in the "Math for Economics" concentration take only 12
upper-division
math courses, not 15; but they must also take Econ 123A-B-C
(Econometrics),
a highly mathematics-oriented sequence of courses; this, in turn, requires
that they also take the prerequisiste courses Econ 20A-B-C and Econ
100A-B-C.
-
Students in the "Applied and Computational Math" concentration take only
13 upper-division math courses, not 15; but they must also take two
approved
upper-division courses in a field of application, and these courses will
probably have their own prerequisites.
-
Students in the "Math for Education" specialization take only
13 upper-division math lecture courses, not 15; but they must take Education 172B as well as two quarters of "Tutoring
in Mathematics".
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