Undergraduate Programs in Mathematics & Statistics

Lehigh University Math - Students in an entry-level math class lecture

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. Calculus with Business Applications is a first semester course for business students. Most business majors will take either 21 or 81. 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 or 81 but need some review to prepare for the faster pace of college level calculus courses.

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 (at least 6 credits) at or above the 200 level

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 (at least 14 credits) at or above the 200 level
  • 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 courses with mathematical content (at least 17 credits) at or above the 200 level at most two of which can be outside the department.
  • 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