**MATHEMATICS**

Each CAS student must complete at least 3 credits of mathematics coursework selected from designated courses in Mathematics or Philosophy (Logic). 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 natural sciences, Mathematics, Economics, Architecture, and Cognitive Science.** The Phi Beta Kappa profile also includes calculus. Students leaning toward Social Science majors should plan to take MATH 012 (Statistics), and students leaning toward Arts and Humanities majors (other than Architecture) can consider MATH 005, PHIL 114, or MATH 012 as alternatives to a calculus course.

Students should consult the Course Catalog to determine the mathematics courses that are required and recommended by different degree programs.

If your curriculum will require calculus, you should begin right away. Experience has shown that it is unwise to let too much time elapse between your last high school mathematics course and your first mathematics course at Lehigh.

**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.

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

**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.

There is a big difference between calculus study at Lehigh and calculus at most high schools. A solid high school precalculus course is necessary background for calculus at Lehigh. Students need a strong foundation in functions (forms, graphs, roots) 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 Lehigh calculus classes. Many students find a summer course in calculus at a local community college to be helpful in bridging from high school mathematics to Lehigh calculus.

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

This course is for students who need more preparation before moving on to calculus.** 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**. Students taking MATH 000 must pass with a grade of C– or better before taking MATH 051, 021, or 075.

**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)**

**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.