MATH 103B Intermediate Algebra (Part II) (2) This course covers the second half of the content of MATH 103. Completion of this course with a grade of "C" or better together with the completion of MATH 103A with a grade of "C" or better will satisfy any requirement for MATH 103. Credit for this course cannot be counted if credit is counted for MATH 103. NOT APPLICABLE TO GENERAL EDUCATION REQUIREMENTS AND/OR MINOR REQUIREMENTS. Prerequisite: grade of "C" or better in MATH 103A.

MATH 104 Geometry (4) Angles, measurement, proofs, and congruent triangles, parallel and polygon theorems, right triangles, circles, areas, coordinate geometry, space geometry and non-Euclidean geometry. Not applicable to General Education Requirements. Not applicable to minor except for elementary education majors or mathematics minor for teacher certification. Prerequisite: MATH 103 or equivalent and/or satisfactory score on pretest.

MATH 105 Statistics (4) Introductory statistical methodology. Graphical representation of data, probability distributions, hypothesis testing, parametric and non-parametric techniques, regression and correlation, analysis of variance. Prerequisite: MATH 103 or equivalent and/or satisfactory score on pretest.

MATH 110 Mathematics for Elementary Teachers (4) This course covers the modern concepts of mathematics to be taught in K-8. Included are the fundamentals of sets, number bases, properties of and operations on rational numbers, percentage, measurement, geometric concepts, probability and statistics and related work. Exercises are coordinated with class work to related mathematical concepts with the physical world. Not applicable to General Education Requirements. Not applicable to minor except for elementary education majors. Prerequisite: MATH 082 or equivalent. Required for students preparing for an elementary teacher's certificate.

MATH 121 College Algebra (4) Sets of real numbers, exponents, absolute value, inequalities, equations, functions and graphs, theory of equations, exponentials and logarithms and complex numbers. Prerequisite: MATH 103 and/or satisfactory score on placement test.

MATH 122 College Algebra and Trigonometry (4) Trigonometric functions and formulas, right triangle trigonometry, inverse functions, systems of equations, binomial theorem, matrices, determinants, combinations and permutations. Prerequisite: MATH 121 and/or satisfactory score on placement test.

MATH 125 Contemporary Mathematics (4) A liberal arts course providing an introduction to logical inference, statistics, probability, management science, social choice, concepts of size and shape, algorithmic processes and consumer mathematics. Emphasis on understanding rather than computational expertise. Includes a library and writing component. Prerequisite: MATH 103 and/or satisfactory score on placement test.

MATH 130 Biostatistics (4) Introductory statistical methodology with applications in biological and health sciences. Graphical presentation of data; probability distributions; hypothesis testing; parametric and non-parametric technique; regression and correlation; analysis of variance. Intended for students in nursing and biological sciences. Prerequisite: MATH 103 and/or satisfactory score on placement test.

MATH 141 Finite Mathematics (4) Mathematical techniques in economic and business analysis: topics in algebra, introduction to linear programming and to calculus. Prerequisite: MATH 103 or satisfactory score on pretest.

MATH 150 Precalculus Mathematics (4) A concentrated review of topics from algebra, trigonometry and other areas. Includes study of graphs, equations and inequalities; and exponential, logarithmic, trigonometric, absolute value and inverse functions. Prerequisite: Satisfactory score on placement test.

MATH 161 Calculus with Analytic Geometry I (4) Introduction to limits, continuity, derivatives, and integrals. Applications of derivatives and integrals. Prerequisite: MATH 121-122 or 150 or equivalent and/or satisfactory score on placement test.

MATH 162 Calculus with Analytic Geometry II (4) Derivatives and integrals of non-algebraic functions. Techniques of integration. Improper integrals. Further applications of derivatives and integrals. Parametric equations and polar coordinates. Analytic geometry and conic sections. Infinite sequences and series. Prerequisite: MATH 161.

MATH 190 Special Topics (1-3) Topics of special or current interest are offered periodically. The credit allowed for the particular course will be set by the department. Appropriate prerequisites and contents will vary with the nature of the course offering and will be determined by the department.

MATH 241 Elementary Numerical Analysis (3) Numerical solution of a single non-linear equation and of a system of simultaneous linear equations; curve fitting and function approximation; interpolation; numerical differentiation and integration; calculation of eigenvectors and eigenvalues. This course assumes only one year of calculus. Prerequisite: MATH 162 and a structured programming language suitable for mathematics.

MATH 261 Calculus with Analytic Geometry III (4) Three dimensional analytic geometry and vectors. Limits and continuity of functions of several variables. Partial derivatives, multiple integrals, vector calculus, and applications. Prerequisite: MATH 162.

MATH 262 Introduction to Differential Equations (4) Exact solutions of common types of first-order ordinary differential equations, linear equations of higher order, power series solutions, Laplace transforms, linear systems including matrix methods, graphical and numerical techniques and applications of differential equations. Prerequisite: MATH 261.

MATH 263 Elementary Linear Algebra (3) Emphasis is on applicable linear algebra: matric arithmetic, Gaussian elimination, determinants, similarity, eigenvalues and quadratic forms. Applications include: Markov chains, geometry, game theory, linear programming and networks. Prerequisite: MATH 162.

MATH 290 Special Topics (1-3) Topics of special or current interest are offered periodically. The credit allowed for the particular course will be set by the department. Appropriate prerequisites and contents will vary with the nature of the course offering and will be determined by the department.

MATH 293 Readings in Mathematics (1-4) The course content must be submitted by the student to the department for approval before the student may enroll. Cooperative work experience may qualify for credit under this number with approval of the department. Not applicable to minor. Prerequisite: Permission of the instructor.

MATH 300 Discrete Mathematical Structures (3) Sets, logic and induction, combinations and permutations, graph theory, functions and relations, Boolean algebras and other structures, isomorphisms, homomorphisms, finite state machines. Prerequisite: MATH 161 and a structured programming language suitable for mathematics.

MATH 302 Introduction to Modern Mathematics (3) Historical development of the major concepts in geometry, algebra and logic. The nature of geometric and algebraic systems. Prerequisite: MATH 261.

MATH 304 Applied Probability and Statistics (3) Intended for students who have had one year of calculus. Basic probability theory, applications using combinations, continuous and discrete random variables, estimation, test of hypotheses, correlation and regression, and confidence intervals. Prerequisite: MATH 162.

MATH 313 Elementary Number Theory (3) An elementary introduction to the theory of numbers. Topics may include prime factorization, Euclidean algorithm, congruences, diophantine equations, distribution of primes, quadratic residues and continued fractions. Prerequisite: MATH 261.

MATH 323 Linear Algebra (3) Matrices over a field. Vector spaces and linear transformations. Derivation of the standard canonical forms. Includes probability and statistical applications and other related topics. Prerequisite: MATH 262.

MATH 370 Set Theory (3) An axiomatic exposition of set theory as the foundation of mathematics. Topics include mathematical logic, relations, functions, orderings, cardinality, the axiom of choice and applications. Prerequisite: MATH 262.

MATH 390 Special Topics (1-3) Topics of special or current interest are offered periodically. The credit allowed for the particular course will be set by the department. Appropriate prerequisites and contents will vary with the nature of the course offering and will be determined by the department.

MATH 393 Readings in Mathematics (1-4) The course content must be submitted by student to department for approval before the student may enroll. Prerequisite: A 3.00 average and approval of the instructor.

MATH 401 Advanced Calculus (3) Properties of the real numbers, continuity and uniform continuity, differentiation and integration, line and surface integrals, infinite series. Includes probability and statistical applications and other related topics. Other topics as time permits. Prerequisite: MATH 262.

MATH 403 Introduction to Complex Variables (3) Properties of complex functions. Cauchy-Riemann equations, analytic functions, mappings, Cauchy-Goursat Theorem, Taylor and Laurent series, residues and poles, conformal mapping. Prerequisite: MATH 262.

MATH 405 Introduction to Real Analysis (3) A detailed study of the real number system; functions, limits, continuity, uniform continuity; point sets: open, closed, compact and connected; differentiation and integration. Prerequisite: MATH 262 and one 300-level mathematics course.

MATH 420 Abstract Algebra (3) Group theory, ring theory and field theory, isomorphism theorems. Polynomial rings. Prerequisite: MATH 262 and a 300-level mathematics course.

MATH 441 Numerical Analysis I (3) Theory of matrices. Numerical solution of linear and non-linear algebraic equations and eigenvalue problems; curve fitting; interpolation theory; numerical integration; differentiation and solution of differential equations; algorithms and computer programming. Prerequisite: MATH 262 and a structured programming language suitable for mathematics.

MATH 442 Numerical Analysis II (3) Continuation of MATH 441. Prerequisite: MATH 441.

MATH 454 Probability and Statistics I (3) Mathematical probability as a basic of statistics. Discrete and continuous probability models, conditional probability and independence, random variables, central limit theorem, sampling distributions, estimation, confidence intervals, test of hypothesis. Prerequisite: MATH 262.

MATH 455 Probability and Statistics II (3) Multiple linear regression, analysis of variance, goodness of fit test, certain non-parametric tests. Prerequisite: MATH 454.

MATH 471 Abstract Geometry (3) An axiomatic approach to geometry. Selected geometries studied in depth. Prerequisite: MATH 262 and a 300-level mathematics course.

MATH 476 Content and Concepts: Secondary School Mathematics (2) Connections between content of college mathematics courses and secondary school mathematics, exploration of various approaches, view of mathematics as a dynamic body of knowledge. Restricted to majors in Mathematics Teacher Certification. Prerequisite: a 400-level mathematics course or permission of instructor.

MATH 480 Senior Seminar in Math (1) Problem solving using selected topics from the common courses required in the majors offered by the Department of Mathematical Sciences. Prerequisite: senior standing or permission of instructor.

MATH 490 Special Topics (1-3) Topics of special or current interest are offered periodically. The credit allowed for the particular course will be set by the department. Appropriate prerequisites and contents will vary with the nature of the course offering and will be determined by the department.

MATH 493 Readings in Math (1-4) The course content must be submitted by student to department for approval before the student may enroll. Prerequisite: A 3.00 average and approval of the instructor.


Return to SVSU Home Page