Mathematics Courses

Three years of high school mathematics, including two years of algebra and one year of geometry, or equivalent preparation, are necessary for all courses offered in the Department. Trigonometry/Precalculus is strongly recommended.

Calculus placement: A student who scores a 4 or higher on the Calculus AB exam or a 3 or higher on the Calculus BC exam will receive course credit for MATH 130 Calculus I. In addition, a student scoring 4 or higher on the Calculus BC exam will receive course credit for MATH 140 Calculus II.

A student who studied calculus before enrolling in Hendrix College may receive course credit for MATH 130 Calculus I if he or she takes MATH 140 Calculus II with consent of the instructor and passes it with a grade of “C” or better. Alternatively, a student may receive course credit for MATH 140 Calculus II if he or she takes MATH 230 Multivariable Calculus or MATH 260 Differential Equations with consent of the instructor and passes it with a grade of “C” or better.

Introductory mathematics
(Select a course title to view its description.)
MATH 110 Mathematics in a Global Context (HP, QS)
An historical survey of mathematical ideas (arithmetic, geometry, algebra) in various cultural contexts. The emphasis is on the mathematical content. Note: This course is not available for credit to students who have completed MATH 130 or equivalent. These students are referred, instead, to MATH 280. Prerequisite: LBST 100.
MATH 115 Mathematics in Contemporary Issues (CW, QS, SB)
A survey of mathematics used to solve current problems, including analysis of political and social structures, problem solving, and abstraction. Topics may include voting methods, power distributions, apportionment, fair division, graph theory, coding theory, scheduling, personal finance, geometry/fractals, and statistics.
MATH 120 Functions and Models (QS)
Study of algebraic, trigonometric, exponential and logarithmic functions within the context of mathematical modeling.
MATH 130 Calculus I (QS, NS)
Study of limits, differentiation, and integration of functions of one variable. Prerequisite: MATH 120 or its equivalent.
MATH 140 Calculus II (QS, NS)
Further aspects of integration of functions of one variable. Infinite series. Prerequisite: MATH 130 or advanced placement.
MATH 195 Mathematical Problem Solving [SP]
Practical sessions in solving challenging problems in mathematics (possible sources: periodicals, problem collection books, or Putnam exams). The class meets biweekly to discuss solutions and receive new assignments. Most problems are solved between sessions, individually or in groups. A student receives one course credit after four semesters of successful problem solving. Prerequisite: MATH 130 or MATH 140 or consent of instructor.
MATH 215 Statistical Analysis (QS)
An introduction to some of the mathematical and statistical methods used in the analysis of social and natural scientific phenomena with an emphasis on the interpretation of experimental and survey data. Topics include elementary and combinatorial designs, basic statistical methods, correlation and inference, and regression analysis. Applications to the students' major disciplines are included throughout the course as well as in a culminating project. (This course will not satisfy any requirements for a major or minor in mathematics. Students may not receive credit for both this course and another introductory statistics course such as PSYC 290 or BUSI 250.) Prerequisite: Sophomore standing or higher.
Intermediate mathematics
MATH 230 Multivariable Calculus
Vectors and coordinate systems in two and three dimensions, vector-valued functions, functions of several variables, extrema, multiple integrals, vector fields, including fundamental theorems of vector calculus. This course has an emphasis on developing geometric intuition. Offered in alternate years. Prerequisite: MATH 140 or consent of instructor.
MATH 240 Discrete Mathematics (NS)
An introduction to the discrete paradigm in mathematics and computer science. Topics include induction, recursion, logic, algorithmic problem-solving, graph theory, asymptotic analysis of algorithms, number theory, and counting techniques. Prerequisite: MATH 130 or consent of instructor.
MATH 260 Differential Equations (NS)
Study of ordinary differential equations and systems of equations, through the use of analytic, qualitative/geometric, and numerical techniques. Applications from physics, biology, chemistry, engineering, economics, and psychology are presented. Prerequisite: MATH 140.
MATH 270 Linear Algebra (NS)
Solving linear systems, matrix algebra, vector spaces and linear transformations, eigenvectors, orthogonality. Prerequisite: MATH 130.
MATH 280 History of Mathematics (HP, W2)
A survey of mathematical ideas and discoveries in their historical context. The course combines mathematics (proofs and problems) with readings on its development. Offered in alternate years. Prerequisite: MATH 130 or consent of instructor.
MATH 290 Introduction to Advanced Mathematics (W2)
Fundamentals of set theory, logic, and functions. Emphasis is on developing the students' theorem-proving skills, independent work, written and oral communication skills, and ability to critique others' work. Prerequisite: MATH 140 and completion of or concurrent enrollment in MATH 240 or MATH 270.
Advanced mathematics
MATH 310 Mathematical Probability and Statistics
Theory of probability and mathematical statistics including an introduction to basic concepts of probability theory, discrete and continuous random variables, distribution theory, moment-generating functions, and the Central Limit Theorem. Other topics may include the theory of statistical inference, point estimation, confidence intervals, regression, hypothesis testing, and analysis of variance. Offered in alternate years. Prerequisite: MATH 140.
MATH 320 Algebra
Introduction to classical algebraic systems and their morphisms. Topics include groups, rings, fields, substructures, ideals, homomorphisms, and quotients. Offered in alternate years. Prerequisite: MATH 290.
MATH 340 Combinatorics
Continues the ideas of counting, graph theory, and algorithms from Mathematics 240. Topics may include Ramsey Theory, designs, coding theory, generating functions, and optimization. Offered in alternate years. Prerequisite: MATH 240 or MATH 290.
MATH 350 Real Analysis
A rigorous study of the structure of the real line and the properties of real-valued functions. Topics include sequences, limits, continuity, differentiabililty, and integrability. Offered in alternate years. Prerequisite: MATH 290.
MATH 365 Mathematical Models
Methods used to model, gather, interpret, and evaluate data critically. Topics may incude model building, signal processing, numerical analysis, and stochastic processes. Prerequisite: MATH 140.
MATH 420 Seminar in Algebra
Algebraic topics that extend the fundamental ideas in MATH 320 will be presented. Offered in alternate years. Prerequisite: MATH 320.
MATH 450 Seminar in Analysis
Analytic topics that extend the fundamental ideas in Mathematics 350 will be presented. Offered in alternate years. Prerequisite: MATH 350.
MATH 490 Advanced Topics in Mathematics
Faculty-student seminar. Content varies according to the interests of the participants and instructor. Past offerings include Great Theorems in Mathematics and Their Proofs, Dynamical Systems, Number Theory, Topology, Wavelets and Wavelet Transforms, Complex Variables, and Introduction to Category Theory. Prerequisite: consent of instructor.
MATH 497 Senior Seminar [UR]
A required seminar for all senior mathematics majors which meets throughout the academic year. Each student will develop an individual research project under the direction of a faculty member and present the results both orally and in written form. Students also majoring in computer science should enroll in CSCI 497 in one semester and MATH 497 in the other.