Mathematics Courses [006-168]

[006-168] [169-199]

MATH 006. College Algebra I. 3 crs. An intensive college algebra course that emphasizes manipulative algebra, solutions of equations and inequalities, and certain elementary functions. Prerequisite: Satisfactory score on mathematics placement examination or completion of ACAD015 (Basic Math II). 

MATH 007. Precalculus. 4 crs. Exponential and logarithmic functions; trigonometry, and systems of equations. Students planning to take 156 should take this course. It is not intended for those students planning to take 026; they should take 010 instead. Prerequisite: 006, or satisfactory score on the Mathematics Placement Examination. 

MATH 009. Introduction to Statistics. 4 crs. A first course in statistics that may be followed by more specialized statistics courses offered by other departments of the University. Not intended for students who have taken calculus; students with a calculus background should take 189. Prerequisite: MATH 006, or satisfactory score on the Mathematics Placement Examination.

MATH 010. College Algebra II. 4 crs. Exponential and logarithmic functions; matrix theory, combinatorics, and probability. Students planning to take 026 should take this course. It is not intended for students planning to take 156, who should, instead, follow 006 with 007. Prerequisite: MATH 006, or satisfactory score on the Mathematics Placement Examination. 

MATH 012. Patterns in Mathematics. 3 crs. Introduction to the art, nature and applications of mathematics. Emphasis is placed on mathematical patterns occurring in real life situations. The course is not intended for students planning to take any Calculus course Prerequisite: MATH 006, or satisfactory score on the Mathematics Placement Examination. 

MATH 020. Fundamental Concepts of Mathematics for Education I. 3 crs. Fundamental concepts of mathematics needed by elementary school teachers. Prerequisite: MATH 006, or satisfactory score on the Mathematics Placement Examination. 

MATH 026. Applied Calculus. 4 crs. Limits; differentiation; integration; introduction to differential equations; and functions of several variables. . Prerequisite MATH 007 or 010 or outstanding score on Mathematics Placement Examination.

MATH 084, 085. Directed Readings in Honors for Sophomores. 1 cr. ea. This set of courses (084, 085, 088, 089, 092, 093) is designed for students in the honor's program, and is designed to help students writing an honor's thesis. Others may take the courses with consent of the instructor. 

MATH 088, 089. Directed Readings in Honors for Juniors. 1 cr. ea. 

MATH 092, 093. Senior Departmental Honors. 3 crs. ea. 

MATH 101. Proof and Problem Seminar I. 1 cr. This course and 102 are designed to help mathematics majors make the transition from the Calculus sequence to more advanced and abstract courses, and is to be taken early when a student declares a major. The topics are sets, relations, functions, proofs by induction and contradiction, complex numbers, and binomial coefficients. Corequisite: MATH 156. 

MATH 102. Proof and Problem Seminar II. 1 cr. A continuation of 101. The topics of 101 are reinforced by going more deeply into one of number theory, dynamics, probability, graph theory, or modeling. Prerequisite: 101. Coreq: 157. 

MATH 150. Modern Geometry. 3 crs. Deductive reasoning through the study of selected topics from Euclidean and non-Euclidean geometrics. Prerequisite: 157. 

MATH 156. Calculus I. 4 crs. Limits, continuity, and the derivative and integral of functions of one variable, with applications. Prerequisite: 007 or outstanding score on Mathematics Placement Examination. 

MATH 157. Calculus II. 4 crs. Continuation of 156, including more integration, sequences, series, Taylor's theorem, improper integrals, and L'Hospital's rule. Prerequisite: 156. 

MATH 158. Calculus III. 4 crs. Continuation of 157, including calculus of functions of several variables, with applications. Prerequisite: 157. 

MATH 159. Differential Equations. 4 crs. Elementary techniques of ordinary differential equations, including slope fields, equilibria, separation of variables, linear differential equations, homogeneous differential equations, undetermined coefficients, bifurcations, power series, Laplace transforms, systems, and numerical methods. Prerequisite: 157. 

MATH 160. Advanced Calculus for Science and Engineering. 3 crs. Vector calculus in several dimensions. Generalizations of the fundamental theorem of calculus. Stokes theorem divergence theorem. Inverse and implicit functions theorems. Prerequisite: 158. 

MATH 161, 162. Seminar 1-3 crs. each. Offered on demand; seminars in various topics in mathematics. 

MATH 164. Introduction to Numerical Analysis. 3 crs. Treats numerical integration and numerical solution of differential equations; numerical linear algebra, matrix inversion, characteristic values; error propagation; and stability. Prerequisite: 159 and SYCS 135. 

MATH 165, 166. Directed Readings. 1-3 crs. each. Readings under a faculty member whose approval is required for admission to course. 

MATH 168. Actuarial Science Laboratory I. 1 cr. Systematic methods and approaches for rapid and accurate solutions of problems arising in elementary algebra, calculus, and analysis. Prerequisite: Consent of instructor or 158.