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First-Year Math Courses


Each program has different requirements regarding what Math courses are needed. Students should consult the Course Catalog to determine the mathematics courses that are required and recommended by different degree programs.


MATH 005: Introduction to Mathematical Thought (3 credits)     

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) 

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)

Matrices, vectors, vector spaces and mathematical systems, special kinds of matrices, elementary matrix transformations, systems of linear equations, convex sets, introduction to linear programming.


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)

  • MATH 022: Calculus II (4 credits) 

  • MATH 023: Calculus III (4 credits)

  • MATH 075: Calculus I part A (2 credits) 

  • MATH 076: Calculus I part B (2 credits)

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 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 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 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.

MATH 081 Calculus with Business Applications (4 Credits)

Calculus for students in the College of Business and Economics. Topics include: limits and continuity; exponential, logarithmic and trigonometric functions; derivatives; extrema; approximations; indefinite and definite integrals. Applications with emphasis on business and economics.