UNDERGRADUATE CATALOG - Mercy College

240 / Course Descriptions
MATH 360 Calculus III:
Functions of several variables; partial derivatives; multiple integrals; infinite series; vector
calculus. Graphing calculators and/or Maple will be used throughout the course. Prerequisite:
MATH 261. 4 sem. hrs. 4 crs. (Offered in fall semesters).
MATH 362 Differential Equations:
An introduction to the study of ordinary differential equations. Topics include: first order
linear equations; higher order equations, method of undetermined coefficients and variation
of parameters, Laplace transform, power series solutions, Fourier Series and solution of partial
differential equations by the method of separation of variables. Prerequisite: MATH 261. 3 sem.
hrs. 3 crs. (Offered in fall semesters).
MATH 365 Algebraic Structures:
This course introduces the student to the major topics of group theory and it also includes
an introduction to rings and integral domains. Some of the group theory topics that are
covered are permutations, cyclic groups, direct products, isomorphisms, normal subgroups
and homomorphisms. Prerequisite: MATH 315. 3 sem. hrs. 3 crs. (Offered in spring semesters).
MATH 380-381 Cooperative Education in Mathematics I, II:
This course is designed to link college with the world of work by assisting students to obtain
meaningful, academically relevant work experiences directly related to their career goals.
Possible placement sites for students in Math include corporations, small businesses, nonprofit
organizations and schools. Students' professional development is enhanced through
meetings with a faculty advisor and structured assignments based on the work experience.
Cooperative Education office approval required. 3 sem. hrs. 3 crs. per sem.
MATH 395 Special Topics in Mathematics:
A special area of mathematics depending on student interest. Topics include applied
mathematics; point set topology; history of mathematics; complex variables, differential
equations; number theory; geometry. Prerequisite: Variable depending on topic. 3 sem. hrs. 3
crs. (Offered in spring semesters).
MATH 397 Independent Study in Mathematics:
Individual projects or readings undertaken in a specific area of Mathematics. Registration
with the permission of the Instructor, the Department Chairperson, and the Associate Dean
for Academic Administration. Prerequisite: Variable depending on topic. 3 crs.
MATH417 Mathematical Modeling:
This is the capstone course for the math majors. It integrates all the mathematical concepts
learned in earlier courses to solve real-world problems. Aspects of model construction and
selection will be taught along with the analysis of existing models. Topics may include
discrete dynamical systems, model fitting, simulation models, continuous optimization
models, and probabilistic models. Prerequisites: CISC/MATH 231 and MATH 350 or
MATH 360. (Offered in spring semesters).
MATH 460-461 Advanced Calculus I, II:
A systematic, rigorous approach to calculus. Topics include: the real number system; limits;
continuity; differentiability; integration theory; point set theory. Prerequisite: MATH 360.
3 sem. hrs. 3 crs. per sem.