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Combining logic and precision with intuition and imagination

Overview   |   Outcomes   |   Meet An Earlhamite   |   Our Faculty   |   Plan of Study   |   Courses  


At Earlham, our students develop mathematical fundamentals and problem-solving skills that they can apply in a variety of disciplines or in further study of mathematics.

It's easy for our Mathematics students to design and participate in projects that explore connections between math and other interests as a class project, independent study or as a double major.

We have close and continued faculty-student collaboration, both in class and in settings like working together in the Math Studio or conducting research on such topics as global warming, pattern formation in animal coats and the spread of ideas during the “Arab Spring.”

Summer internships are available at the Centers for Disease Control, the National Laboratories, the National Institute for Standards and Technology, NASA and the NSA.


Our students participate in weekly "mathophiles" seminars and informal lunches, and attend regional meetings of professional mathematicians.

You may study in the Budapest Semesters in Mathematics, one of the world’s great centers of mathematical research.

Recent alumni are in graduate school studying applied mathematics, actuarial science, computer science, education, engineering, environmental science, law, mathematics, medicine, musicology or theology.

You can find Earlham Mathematics alumni becoming high school teachers, business managers, computer programmers, systems analysts, environmental statisticians, actuaries or mathematics professors.


Earlham math majors have gone on to graduate school in mathematics, physics, economics, finance, music, geosciences, and psychology.

Alumni have pursued a wide variety of careers, including finance, agents both for the NSA and for the FBI, actuaries, aspects of computing and secondary teaching.

A student recently presented her work at a national joint meeting of the Mathematical Association of America and American Mathematical Society.

Meet An Earlhamite
Eden Shroyer
She always loved math

An Earlham class helped Eden Shroyer rediscover her love for math, puzzles and proofs.

Topher Weiss-Lehman
An NSF Grant to Study Invasive Microbes

Topher Weiss-Lehman ’10 is studying invasive species through a theoretical lens.

Natalie Schelling
Notes from Natalie

Natalie Schelling '12 has taken her self-designed major in Integrated Math Education from Earlham to an Educational Psychology doctoral degree program at Ball State.

Our Faculty

Kwadwo Antwi-Fordjour
Visiting Assistant Professor of Mathematics

Julie Beier
Associate Professor of Mathematics

Timothy McLarnan
Professor of Mathematics

Anand Pardhanani
Associate Professor of Mathematics

Roberta Cayard-Roberts
Administrative Assistant
Plan of Study

General Education Requirements

The Mathematics Department offers 15 courses that fulfill the Abstract Reasoning component of the Analytical Reasoning Requirement for General Education: MATH 130, 180, 190, 280, 288, 300, 310, 320, 350, 360, 420, 425, 430, 435 and 482; and seven that fulfill the Quantitative Reasoning component of this requirement: MATH 120, 180, 280, 300, 320, 350 and 360. The Department also offers Earlham Seminars.

The Major

Students considering a major in Mathematics are encouraged to enroll in Calculus A or Discrete Math during the Fall Semester of their first year, and to discuss their plans with one of the Math faculty if they've taken calculus in high school.

Students majoring in Mathematics are required to complete:

  • MATH 180 Calculus A*
  • MATH 190 Discrete Mathematics
  • MATH 280 Calculus B*
  • MATH 288 Sophomore Seminar
  • MATH 310 Linear Algebra
  • MATH 420 Abstract Algebra A
  • MATH 430 Analysis A
  • Either MATH 425 Abstract Algebra B OR
    MATH 435 Analysis B
  • MATH 486 Comprehensive Independent Study
  • MATH 488 Senior Capstone Experience
  • Two other Mathematics courses numbered 300 or above

Students intending to go on in mathematics are strongly encouraged to take MATH 320, MATH 350, both MATH 425 and 435, and at least one course in Computer Science.

The Minor

  • MATH 180 Calculus A*
  • MATH 190 Discrete Mathematics
  • MATH 280 Calculus B*
  • MATH 288 Sophomore Seminar
  • Two other courses (totaling 6+ credits), at least one of which must be at 300+ level. These courses should be chosen from this list:
    • Any 200-level or above MATH course
    • MATH 140 Diversity of the World’s Mathematics
    • MATH/CS/PHIL 130 Symbolic Logic
    • CS 380 Theory of Computation

* Satisfied by credit or placement


* Key

Courses that fulfill
General Education Requirements:

  • (A-AP) = Arts - Applied
  • (A-TH) = Arts - Theoretical/Historical
  • (A-AR) = Analytical - Abstract Reasoning
  • (A-QR) = Analytical - Quantitative
  • (D-D) = Diversity - Domestic
  • (D-I) = Diversity - International
  • (D-L) = Diversity - Language
  • (ES) = Earlham Seminar
  • (IE) = Immersive Experience
  • (RCH) = Research
  • (SI) = Scientific Inquiry
  • (W) = Wellness
  • (WI) = Writing Intensive
  • (AY) = Offered in Alternative Year

Topics include exploratory data analysis; measures of central tendency, dispersion and correlation; nonparametric methods; confidence intervals; hypothesis tests; and the design of statistical studies. Also listed as MGMT 120. (A-QR)

*MATH 130 SYMBOLIC LOGIC (3 credits)
The study of formal, deductive logic emphasizing the methods for demonstrating the validity of arguments. Includes truth functional propositional logic and quantification theory through the logic of relations. Also listed as CS 130 and PHIL 130. (A-AR)

(3 credits)
The purpose of this course is to explore some of the wealth of human arithmetics and geometries among Africans, Native Americans, Australians and Pacific Islanders as well as Eurasians. Topics covered might include: number systems and names in different languages, geometric design in Africa and in Islamic art, Vedic mathematics, geometries Greek and Japanese, Chinese word problems and more. Appropriate for first-year students. (A-AR, D-I)

*MATH 150 EARLHAM SEMINAR (4 credits)
Offered for first-year students. Topics vary. (ES)

*MATH 180 CALCULUS A (5 credits)
Calculus is the mathematical study of quantities that change with time and of areas and volumes. The development of calculus is one of the great discoveries of humanity, and the resulting discipline is of fundamental importance not only for students of the natural sciences, but also graduate work in the social sciences. Introduces major issues in calculus: functions, limits, derivatives and integrals. Concludes with the fundamental theorem of calculus, which relates areas to rates of change. (A-AR, A-QR)

A course in mathematical invention and discovery. Starting with simple but unfamiliar mathematical systems, students do calculations, look for patterns, and work to convince themselves and one another of the truth of their insights as they collectively explore and develop new mathematical worlds. An early glimpse of what mathematical research is like. Strongly recommended as an introduction to college mathematics. Topics include number theory, combinatorics, set theory, logic and induction. (A-AR)

MATH 195 MATH TOOLKIT (2 credits)
An introduction to the principal topics in mathematics needed by a Computer Science major, and intended for students of computer science. Topics include writing numbers in various bases, set theory, proof by induction, relations and functions, logic, matrices, complex numbers, recursion and recurrences, and rates of growth of various functions. Also listed as CS 195.

*MATH 280 CALCULUS B (5 credits)
A continuation of MATH 180, including techniques of integration, applications of the definite integral, infinite sequences and series and elementary differential equations. Prerequisite: MATH 180. (A-AR, A-QR)

A transition into the upper-level study of mathematics. Strong emphasis on how to read mathematics at a variety of levels, and on how to write proofs and present mathematics clearly and correctly. Specific topics vary; set theory is a regular part of the seminar. Prerequisite: MATH 190. (A-AR)

*MATH 300 STATISTICS (3 credits)
Topics include exploratory data analysis; measures of central tendency, dispersion and correlation; nonparametric methods; confidence intervals; inference testing; probability distributions; and the design of statistical studies. Prerequisite: Math 180. (A-AR, A-QR)

This course explores Euclid’s world of planar geometry and compares his work both to that of modern geometers and other mathematicians who did Euclidean geometry in a manner very far from Euclid’s. This course also will look at non-Euclidean geometries, where parallel lines behave in unexpected ways, and finite geometries where restrictive worlds stretch the imagination. (A-AR)

*MATH 310 LINEAR ALGEBRA (3 credits)
Topics include matrices, vector spaces, linear transformations and their applications. Prerequisite: MATH 280. (A-AR)

Topics include the standard exact and approximate methods for solving ordinary differential equations. Prerequisite: MATH 280. (A-AR, A-QR)

An extension of the methods of calculus to functions of more than one variable, or functions returning vectors. Issues addressed include the theory and application of partial derivatives and multiple integrals, as well as the theorems of Green, Gauss and Stokes which represent multivariate analogues of the Fundamental Theorem of Calculus. Prerequisite: MATH 280. (A-AR, A-QR)

Applies mathematical techniques to the study of physical systems. Examines topics such as vector analysis, complex variables, Fourier series and boundary value problems. These topics are studied in the context of modeling and understanding physical systems. Students will see how individual techniques, once developed, can be applied to very broad classes of problems. This course develops skills in communicating scientific results in written form as well as in an oral presentation. Prerequisite: MATH 320. Corequisite: MATH 350. Also listed as PHYS 360. (A-AR, A-QR, RCH)

*MATH 420 ABSTRACT ALGEBRA A (3 credits)
An introduction to modern algebra. Focuses on groups and homomorphisms; also covers rings and fields. Prerequisites: MATH 190, 288 and 310. (A-AR)

*MATH 425 ABSTRACT ALGEBRA B (3 credits)
A continuation of MATH 420 and treatment of a more advanced algebraic topic. Typical themes include ring theory, finite fields, Galois theory and group representations. Prerequisite: MATH 420. (A-AR) (AY)

*MATH 430 ANALYSIS A (3 credits)
A careful and theoretical study of the real numbers and their functions including all the details you might have asked for in Calculus A, but probably did not. Topics include the construction and topology of the real numbers, sequences of reals, limits of sequences and of functions, and (uniform) convergence and continuity. Prerequisites: MATH 280 and 288. (A-AR)

*MATH 435 ANALYSIS B (3 credits)
A continuation of MATH 430 and treatment of a more advanced analytic topic. Commonly this has been a careful treatment of differentiation and Riemann integration, including results like the Fundamental Theorem of Calculus, the termwise integrability and differentiability of power series, and perhaps the theorem that a function on a closed, bounded interval is Riemann integrable if and only if it is bounded and almost everywhere continuous. Prerequisite: MATH 430. (A-AR) (AY)

*MATH 482 TOPICS (3 credits)
Topics vary and may include combinatorics, number theory, history and philosophy of mathematics, linear and dynamic programming, fractals and chaos, numerical analysis, probability, topology, symbolic and algebraic computation, non-Euclidean geometry and statistics. (A-AR)

A student-led seminar in which students prepare to take their comprehensive examination. Meets several times with the supervising faculty member, but students are responsible for directing the preparation's focus. The grade for the course is the grade on the comprehensive exam. Prerequisites: MATH 420 and 430. Offered Spring Semester.

Individual and collective investigations into topics of common mathematical interest not covered in the department's regular course offerings. A significant part of this course is students' reading new mathematics and presenting it to one another. Co-requisites: MATH 420 and 430. Offered Fall Semester.