Undergraduate Programs in Mathematics & Statistics at Lehigh
University
Entry level math courses
There are three calculus sequences. Calculus 21, 22, 23 is the largest,
taken by most science and engineering students. Advanced placement can
be obtained either through the AP test of the College Board or through
a test administered by our department. Honors Calculus 31, 32, 33
parallels
21, 22, 23, but with more depth and rigor. It is geared toward students
with SAT Math score over 700, although it is open to all interested
students.
Survey of Calculus, 51, 52, are somewhat less in-depth. Most business
majors
will take 21. Most students in biological or earth sciences will take
51
and 52.
For students who need to take Calculus 21-23, but have a weak
background
in pre-calculus material, there is a 2-semester course, Math 75 and 76,
which can be substituted for the 1-semester course Math 21. Math 75 and
76 contain a good bit of review of pre-calculus material along with the
topics of Math 21. Students who complete 75 and 76 will be prepared to
take Math 22. Another option is Math 0, Preparation for Calculus,
offered
during the fall. It counts as 2 credits
on your current roster and your GPA, but the credits do not count
toward
graduation. Math 0 will be taken primarily by students who need to take
Math 51, but fail the Calculus Readiness Exam.
Students in the arts, humanities, and social sciences are required
to
take at least one semester of mathematics, but it need not be calculus.
Basic Statistics 12 is the math course recommended for social science
students.
It is a 4-credit course and is offered every semester. Another
non-calculus-based course is Math 5, Introduction to Mathematical
Thought,
offered in the spring. Topics in Math 5 vary from year to year.
The math department particpates in the College of Arts and Sciences
Freshman
Seminar Program and offers a freshman seminar each fall semester.
Topics for
the freshman seminar vary from year to year.
B.A. in Mathematics
This is a math major in a liberal arts tradition. It prepares students
for a variety of careers in government, industry, and education. The
required
major courses are
- Math 21,22,23 or 31,32,33........Calculus or Honors Calculus
- Math 163.......Introductory Seminar
- Math 12 or 231.......Statistics/Probability
- Math 242.......Linear Algebra
- Math 205 or 320........Differential Equations
- Math 301.......Analysis
- Math 208 or 316.......Complex Analysis
- Math 243.......Algebra
- 2 more math courses
B.S. General Mathematics Option
This is the recommended program for students who wish to go on for a
Ph.D.
in Mathematics. The required major courses
are
- Math 21,22,23 or 31,32,33........Calculus or Honors Calculus
- Math 163.......Introductory Seminar
- Math 231 or 309.......Statistics/Probability
- Math 242.......Linear Algebra
- Math 205 or 320........Differential Equations
- Math 301.......Analysis
- Math 208 or 316.......Complex Analysis
- Math 243.......Algebra
- 4 more math courses
- Two CSC courses or one CSC course and Engr 1
B.S. Applied Mathematics Option
This provides a broad background in the major areas of applicable
mathematics.
The required major courses are
- Math 21,22,23 or 31,32,33........Calculus or Honors Calculus
- Math 163.......Introductory Seminar
- Math 231 or 309.......Statistics/Probability
- Math 242.......Linear Algebra
- Math 320........Differential Equations
- Math 301.......Analysis
- Math 208 or 316.......Complex Analysis
- 5 more math courses
- Two CSC courses or one CSC course and Engr 1
B.S. in Statistics
Statistical analysis forms a fundamental tool in all experimental
sciences
and is important in understanding chance phenomena. Mathematical
principles,
especially probability theory, underlie all statistical analyses. This
program requires 30 hours of Professional Electives to be selected from
at least two fields of application of statistics, such as biology,
psychology,
social relations, computer science, engineering, economics, and
management.
Required major courses are
- Math 21,22,23 or 31,32,33.....Calculus or Honors Calculus
- Math 12 or 231.........Basic Statistics or Probability and
Statistics
- Math 43/205/242................Survey of Linear Algebra or Linear
Methods
or Linear Algebra
- Math 309 .......Theory of Probability
- Math .......Random Processes and Applications
- Math 312................Statistical Computing and Applications
- Math 334................Mathematical Statistics
- Math 338................Linear Models in Statistics
- Math 374................Statistical Project
- Two CSC courses or one CSC course and Engr 1
- Major electives (12 credit hours): At least three courses with
specific
mathematical and statistical content chosen with the approval of the
faculty
advisor.
Minor programs
The department offers the following minor programs.
- Pure Mathematics
- Applied Mathematics
- Probability and Statistics
- Actuarial Science
For each program, the requirement is Math 21, 22, and 23, or 31, 32,
and
33, plus four courses from a list of specified courses. See the
catalogue
for the lists of specified courses.
In recent years, we have had approximately 10-15 math majors
graduating each
year. This means that classes are small,
so that you get to know your professors and fellow students well. Some
of the things that our recent graduates have done after graduation
include
- Work as actuary
- Other financial work
- Graduate school in mathematics
- Graduate school in other disciplines
- High school teaching
- Work for computer companies