**MATHEMATICS**

Each CAS student must complete at least 3 credits of mathematics coursework selected from designated courses as "MA". Please note that Math 000 does not count toward the graduation credit count nor does it satisfy part of the math requirement. Students are not required to take calculus to satisfy the Mathematics requirement. **The only majors in our college that require calculus are the those in the Biological Sciences, Architecture, Chemistry, Cognitive Science, Computer Science, Economics, Joint International Relations and Economics, Mathematics, Physics, and the B.S. programs in both Earth and Environmental Science and Psychology.** The Phi Beta Kappa profile also includes calculus.

In general, students leaning toward Social Science majors or those in the Arts and Humanities can pursue a non-calculus course to satisfy their Math requirement. In all cases, students should consult the current catalog (catalog.lehigh.edu) to determine the mathematics course(s) that are required and recommended by different degree programs.

**NON–CALCULUS MATH COURSES**

**MATH 005: Introduction to Mathematical Thought (3 credits) spring**

This course introduces students to the meaning, content, and methods of mathematical thought. The course considers mathematical topics of interest for their own sake, rather than for specific applications. Topics used for illustration will vary. Students do not need a strong high school math background. Math 005 is well suited to students majoring in the humanities. The math content is ‘real,’ and students should expect to perform math.

**MATH 012: Basic Statistics (4 credits) fall & spring**

This course provides a foundation for the statistical description and analysis of data, which are fundamental issues in the social sciences. Students in the natural sciences also benefit from studying statistics, although calculus might be a higher priority early.

**MATH 043: Survey of Linear Algebra (3 credits) fall**

Other ways to earn the "MA" requirement outside of the Math Department:

**CSE 017: Programming and Data Structures (3 credits) fall and spring**

**PHIL 114: Symbolic Logic (4 credits ) spring**

*Please review the Calculus Placement page for specific placement guidelines. *

**INTRODUCTORY CALCULUS COURSES**

There is a big difference between calculus study at Lehigh and calculus at most high schools. A solid high school pre-calculus course is necessary background for calculus at Lehigh. Students need a strong foundation in functions and trigonometry to really thrive in calculus. Most students who take calculus in high school are accustomed to using a graphing calculator. **Calculators are not permitted in exams or quizzes in Lehigh calculus classes.** With three different calculus sequences, the Mathematics Department is able to tailor its offerings to students with different preparations and needs for studying calculus.

**Math 20s sequence **

- MATH 021, Calculus I (4 credits) fall & spring
- MATH 022, Calculus II (4 credits) fall & spring
- MATH 023, Calculus III (4 credits) fall & spring
- MATH 075, Calculus I part A (2 credits) fall only
- MATH 076, Calculus I part B (2 credits) spring only (Parts A+B substitute for Math 21)

All or part of the 20s sequence (12 credits) is required of all engineering students as well as majors in** ****Mathematics, Computer Science, and many Natural Science programs**. The three semesters cover single– and multiple–variable calculus and introduce differential equations. MATH 075 and 076 (2 credits each) divide the material of MATH 021 into two parts for those who want to take Math 21 but who are not prepared to go directly into MATH 021. Successful completion of MATH 021 or MATH 076 is a prerequisite for MATH 022.

*Math 50s sequence*

- MATH 051, Survey of Calculus I (4 credits) fall
- MATH 052, Survey of Calculus II (3 credits) spring

The 50s sequence covers much of the material covered in 021 and 022 but not in as much depth, allowing the material to be completed with fewer credits (totaling 7 credits). This sequence is suited for **Architecture, Biological Sciences, the Pre-Health Track, and some Natural Science programs**. MATH 021 is usually an acceptable substitute for MATH 051 but not the reverse, and MATH 021 is an acceptable prerequisite for 052 but 051 is not a prerequisite for 022; students with strong mathematics backgrounds might consider starting with the 20s sequence if they have any question about which sequence best suits their curriculum.

**MATH 000: Preparation for Calculus (2 credits) fall**

**This 2 credit course does not count toward the total number of credits required for graduation or the CAS math distribution requirement, but the grade does count in the student’s GPA, and the 2 credits will count toward full time status in the semester taken**.

**MATH 081: Calculus I with Business Applications (4 credits) fall and spring**

**Advanced Placement for Calculus **

Advanced placement credit in mathematics is usually awarded for either Math 012 (Basic Statistics) or Math 021 (Calculus I) or Math 021 and 022 (Calculus I and II), as appropriate depending on the exam and the score. Such advanced placement satisfies the mathematics distribution requirement.

**A score of 4 or 5 in the AB advanced placement exam may = MATH 021 (4 credits)**

**OR a 4 or 5 on the AB subscore of the BC exam may = MATH 021 (4 credits)**

**A score of 4 or 5 on the BC advanced placement exam may = MATH 021 & 022 (8 credits)**

We often recommend that students consider beginning Lehigh calculus a semester below their advanced placement. For instance, if you have credit for Math 021 and will also need Math 022, consider taking Math 021 (giving up the AP credit). You will relinquish AP credit, but experience has shown that many AP courses do not provide adequate preparation for calculus at Lehigh.