Undergraduate
Program
Preconcentration: The First Two Years
The ideal highschool
background for a student who intends to concentrate in mathematics
(or science or engineering) includes one and onehalf years of algebra,
one year of geometry, onehalf year of trigonometry, and one year
of precalculus and/or calculus. Inclusion of a highschool calculus
course is not essential; courses 115 and 185
do not assume previous calculus experience. A student whose background
is less thorough may need to begin college mathematics with Math 105 (Data, Functions and Graphs) and should expect to spend
at least one extra semester to complete a mathematics concentration.
Prospective
mathematics concentrators may choose from a variety of entrylevel
courses:
Math 115 is
the standard course taken by the majority of students intending
to concentrate in mathematics, science, or engineering. Together with
Math 116 and 215, it provides a complete introduction to the concepts
and methods of calculus. This sequence stresses problemsolving
and applications rather than theory and proof, and features cooperative
learning and graphing calculators. Following Math 215 all students
intending to concentrate in mathematics should elect Math 217 (Linear
Algebra) rather than Math 216 (Introduction to Differential Equations).
Math 216 is not intended for mathematics concentrators, who generally take Math
316 (Differential Equations) after completing Math 217.
Math 174 (Proofs in Geometry) and Math 175 (Intro. to Cryptology) require permission from the honors mathematics placement advisor, but are also open to students
not enrolled in the LS&A Honors Program.
The sequence Math 185186285286 is an introduction to calculus at the honors level. Math 185 (Honors Calculus I) presupposes a higher level of accomplishment in high school math courses and covers somewhat more of the theory behind the calculus. Math 186 is usually followed by Math 285; after completion of Math 285, a prospective honors concentrator should take Math 286 followed by Math 451; other concentrators should follow the sequence 217316. Admission to Math 185 requires permission of the honors placement advisor.
Math 295 (Honors Mathematics I) together
with the succeeding courses Math 296395396 provide an intensive
introduction to theoretical mathematics. From the beginning, students
are exposed to abstract concepts.
These courses require a higher level of interest and commitment
than either of the other introductory sequences. The student who completes Math
396 is prepared to explore the world of mathematics at the advanced
undergraduate and graduate level. Admission to Math 295 requires
permission from the honors mathematics placement advisor, but is also open to students
not enrolled in the LS&A Honors Program.
Students who
enter the University with a score of 4 or 5 on either the AB or BC Advanced Placement exam in Mathematics have
several additional options. You may elect any of the
courses described above or Math 116, the standard secondsemester
calculus course. Math 156 is a secondsemester calculus course designed
for students interested in science or engineering with AP scores
of 4 or 5 on the AB exam and uses MAPLE. A student with a score
of 4 or 5 on the BC exam may also choose to enroll in Math 215 or
Math 285. Advanced Placement credit is granted in varying amounts
as explained by a memo available online.
