Mathematics at Wheaton College

Mathematics Courses

As a mathematics major Wheaton College, your curriculum will include core and elective courses as well as the option to pursue a Master of Arts in Teaching Mathematics (MAT).

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Course organization and flowchart

Math flowchartWe've created a flowchart which shows the progression of math courses and their prerequisites. You can download the flowchart to view in a browser or to printout for future reference.

 

Requirements for the Math and Applied Math majors

The following table is a comparison of the requirements for the Math Major and the Applied Math Major. You can download the table as a PDF if you prefer.

Math Major

Common Courses MATH 232 Calculus II
MATH 245 Linear Algebra
MATH 331 Vector Calculus
MATH 301 Intro to Math Major
4
4
2
2
Pure Math Courses MATH 341 Modern Algebra I
MATH 351 Real Analysis I
4
4
Applied Courses MATH 333 Differential Equations
MATH 364 Math Modeling
MATH 385 Applied Topics*
MATH 463 Prob & Stat II
CSCI 345 Data Structures


(Choose one)
4
Electives MATH 243 Discrete Math
MATH 352 Complex Analysis
MATH 362 Geometry
MATH 363 Prob & Stat I
MATH 441 Modern Algebra II
MATH 451 Real Analysis II
MATH 485 Advanced Topics*
MATH 493 Mentoring Seminar*
Or any other applied course




(Choose two)
8
CS Course CSCI 235 Programming I
CSCI 243 Discrete Math
CSCI 245 Programming II
(Choose one)
4
Supporting Course PHYS 231 Physics
CSCI 243 Discrete Math
(Choose one)
4
Capstone MATH 494-1 Senior Capstone 4
  Total 44

Applied Math Major

Common Courses MATH 232 Calculus II
MATH 245 Linear Algebra
MATH 331 Vector Calculus
MATH 301 Intro to Math Major
4
4
2
2
Pure Math Courses MATH 341 Modern Algebra I
MATH 351 Real Analysis I
(Choose one)
4
Applied Courses MATH 333 Differential Equations
MATH 363 Prob & Stat I
MATH 463 Prob & Stat II
4
4
4
MATH 364 Math Modeling
MATH 385 Applied Topics
(Choose one)
4
Electives MATH 385 Applied Topics*
MATH 485 Advanced Topics*
MATH 493 Mentoring Seminar*
(Choose one)
2 or 4
CS Course CSCI 235 Programming I 4
Supporting Course PHYS 231 Physics
CHEM 231 Chemistry
GEOL 221 Physical Geology
ENVR 241 Quantitative Methods
BIOL 241 Genetics and Cell Bio
BEC 376 Game Theory


(Choose one)
4
Project/Capstone MATH 302 Applied Project
MATH 494-2 Senior Capstone
2
2
  Total 46 or 48
Note: Courses indicated with * are Topics courses. Topics vary and are announced one or two semesters ahead of time. These course may be repeated multiple times with different topics.

 

Math & Education double majors and MAT (Master of Arts in Teaching)

Students double-majoring in math and education or students enrolled in the MAT (Master of Arts in Teaching) program must comply with the course requirements of those programs, in addition to the requirements of the math major listed above. Please consult the Department of Education for these requirements.

 

Course descriptions

Math 232 - Calculus II

The major begins with Calculus II with topics such as infinite series, polar coordinates, three-dimensional geometry and vector algebra, functions of two and three variables, partial differentiation and multiple integration.

Math 245 - Linear Algebra

Linear algebra is central to both pure and applied mathematics.  It studies the algebraic properties of linear equations in multiple variables.  Applications are found in nearly every branch of science, especially in engineering, physics, the natural sciences computer science and the social sciences (particularly in economics).  Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations.  This course studies the structure of vector spaces, operations with vectors and matrices, linear transformations, and the concepts of eigenvalues, eigenvectors and orthogonality.

Math 301 - Intro to Upper Level Math

This course serves an an introduction to the math major and must be taken before Math 341 and 351 (the upper-level theory courses).  Topics discussed include the current status and latest advances in various areas of pure and applied mathematics, and the place and role of mathematicians in the broader scientific, professional, academic, and research communities. The course aims at helping students develop mathematics as a vocation at Wheaton College and beyond, exploring pathways leading to career or academic opportunities after graduation. Students learn skills that are valuable in all upper-level math courses, such as reading and learning from primary literature, writing scientific reports and research papers with mathematical formalism and syntax, writing in LaTeX, preparing and delivering oral presentations using slides and posters.

Math 331 - Vector Calculus

Vector Calculus introduces the integration of scalar and vector fields and explores the various links between differential operators and multivariable integrals and the four fundamental integral theorems of vector calculus: the Gradient Theorem, Green’s Theorem, Stokes’s Theorem, and the Divergence Theorem.  Vector calculus plays an important role in differential geometry, topology, and in the study of partial differential equations, which are used extensively in physics and engineering.

Math 341 - Modern Algebra I

An introduction to the theory of groups, rings, and fields. Topics in group theory include Lagrange’s theorem, quotient groups, applications to geometry, public key cryptography, and finitely generated abelian groups. Topics in ring theory include ideals, quotient rings, and polynomial rings. Topics in field theory include field extensions, Euclidean construction problems, cubic and quartic equations.

Math 351 - Real Analysis I

Topics include derivation of the properties of continuity, differentiability, integrability, and convergence by use of the limit concept and basic axioms of the real number field.

Math 494 - Senior Capstone: History and Foundations of Mathematics

The capstone course for the major, Math 494 is taken in the senior year.

 

Applied Math Courses

Please consult the Applied Math Courses webpage for applied math course descriptions.

 

Learn More and Apply

If you have questions or would like to schedule a visit, contact us. And if you're ready, learn more about how to apply today!

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