Southwestern

Engaging Minds, Transforming Lives

Mathematics & Computer Science Department

Curriculum: Mathematics

The Mathematics curriculum is traditional, although many of the best reform ideas (technology, group projects, writing mathematics, etc.) are being incorporated where appropriate to enhance the traditional topics.

The following list of courses represents current or recent course offerings. See the course catalog for updated information.

  • 52-001 SELECTED TOPICS
    May be repeated with change in topic.
  • 52-002 SELECTED TOPICS
    May be repeated with change in topic.
  • 52-003 SELECTED TOPICS
    May be repeated with change in topic.
  • 52-004 SELECTED TOPICS
    May be repeated with change in topic.
  • 52-103 MATHEMATICAL CONCEPTS
    An introduction to some of the important ideas in mathematics illustrating the scope and spirit of mathematics and emphasizing the role that mathematics plays in society from a historical point of view. Topics include number systems, algebra, geometry and measurement. This course is designed for tho...
  • 52-113 INTRODUCTION TO STATISTICS
    Designed to provide students in the social and biological sciences with the skills necessary to perform elementary statistical analysis. Descriptive measures, probability, sampling theory, random variables, binomial and normal distributions, estimation and hypothesis testing, analysis of variance, r...
  • 52-123 ELEMENTARY FUNCTION THEORY
    Relations, functions and general properties of functions. Some of the elementary functions considered are polynomials, rational functions, exponentials, logarithms, and trigonometric functions. An objective of this course is to prepare students for Calculus I. May not be used for mathematics major o...
  • 52-154 CALCULUS I
    Functions and graphs; derivatives, applications of differentiation. Exponential, logarithmic and trigonometric functions, integration, applications of integration. The course includes a laboratory component designed to explore applications and to enhance conceptualization. Prerequisite: Mastery of h...
  • 52-254 CALCULUS II
    Numerical integration, methods of integration, applications of the definite integral, improper integrals, sequences and series, Taylor's Formula and approximation, polar coordinates. The course includes a laboratory component designed to explore applications and to enhance conceptualization. Prerequ...
  • 52-301 SELECTED TOPICS
    May be repeated with change in topic. Prerequisite: Permission of instructor.
  • 52-302 SELECTED TOPICS
    May be repeated with change in topic. Prerequisite: Permission of instructor.
  • 52-303 SELECTED TOPICS
    May be repeated with change in topic. Prerequisite: Permission of instructor.
  • 52-304 SELECTED TOPICS
    May be repeated with change in topic. Prerequisite: Permission of instructor.
  • 52-353 CALCULUS III
    A course in multivariable calculus. Vectors, vector functions, and curves. Functions of several variables, partial differentiation, multiple integration, applications of partial differentiation and of multiple integrals. Vector calculus, line integrals, Green's Theorem, surface integrals. Prerequisi...
  • 52-383 DISCRETE MATHEMATICS
    See Computer Science 54-383. (Fall)
  • 52-403 GEOMETRY
    Topics to be selected from synthetic geometry, analytic geometry, projective geometry, Euclidean and non-Euclidean geometry. Prerequisite: Permission of instructor. (Spring, even years) (NS)
  • 52-523 INTRODUCTION TO NUMERICAL ANALYSIS
    Emphasizes the derivations and applications of numerical techniques most frequently used by scientists: interpolation, approximation, numerical differentiation and integration, zeroes of functions and solution of linear systems. Prerequisites: Mathematics 52-254, 673, and Computer Science 54-183. Al...
  • 52-573 PROBABILITY
    Random variables and distributions, sequences of random variables and stochastic processes. Prerequisite: Mathematics 52-254. (Spring, odd years) (NS)
  • 52-673 LINEAR ALGEBRA
    Linear equations and matrices, vector spaces, linear mappings, determinants, quadratic forms, vector products, groups of symmetries. Prerequisite: Mathematics 52-254 or permission of instructor. (Each semester) (NS)
  • 52-683 ALGEBRAIC STRUCTURES I
    Sets, relations, functions, group theory, ring theory. Prerequisite: Computer Science 54-183 and Mathematics 52-673 or permission of instructor. (Fall) (NS)
  • 52-693 ALGEBRAIC STRUCTURES II
    Vector spaces, algebraic field theory. Prerequisite: Mathematics 52-683. (Spring, odd years) (NS)
  • 52-753 ELEMENTARY DIFFERENTIAL EQUATIONS
    Topics include first order differential equations, separable equations, exact equations, linear differential equations of order n>1, homogeneous equations with constant coefficients, nonhomogeneous equations, the method of undetermined coefficients, variation of parameters, power series solutions, a...
  • 52-763 INTERMEDIATE DIFFERENTIAL EQUATIONS
    Topics include the Laplace transform, linear systems, numerical solutions, nonlinear systems and an introduction to partial differential equations. Prerequisites: Mathematics 52-673 and 52-753 or permission of instructor. (Spring, even years) (NS)
  • 52-843 SEMINAR IN SPECIAL TOPICS
    A limited enrollment seminar in a major area of mathematics not generally covered in other courses. Topics may include but are not limited to advanced analysis, combinatorics, logic, history of mathematics. May be repeated for credit as topics vary. Prerequisite: nine hours at the 200 level or above...
  • 52-853 INTRODUCTORY ANALYSIS
    Topics may include completeness, topology of the reals, sequences, limits and continuity, differentiation, integration, infinite series, and sequences and series of functions. A rigorous approach to learning and writing proofs is emphasized. Prerequisite: Mathematics 52-353 or permission of instruct...
  • 52-863 COMPLEX ANALYSIS
    Algebra and geometry of complex numbers. Analytic and harmonic functions, series, contour integration, conformal maps and transformations. Prerequisite: Mathematics 52-353 or permission of instructor. (Fall, even years) (NS)
  • 52-883 TOPOLOGY
    Topology of the line and plane, limit points, open sets, closed sets, connectedness, compactness. Continuous functions, homeomorphisms. Prerequisite: Mathematics 52-254. (Fall, odd years) (NS)
  • 52-894 SENIOR SEMINAR IN MATHEMATICAL MODELING
    This course will fulfill the capstone requirement in mathematics. Since it serves as a culmination of the student's undergraduate mathematical experience, a balance is sought between application and theory. Topics may include linear and non-linear differential and difference equations and stochastic...
  • 52-901 TUTORIAL
  • 52-902 TUTORIAL
  • 52-903 TUTORIAL
  • 52-904 TUTORIAL
  • 52-951 INDEPENDENT STUDY
  • 52-952 INDEPENDENT STUDY
  • 52-953 INDEPENDENT STUDY
  • 52-954 INDEPENDENT STUDY
  • 52-983 HONORS
    By invitation only.