Science
Mathematics (201)
Mathematics is both a subject of study in its own right and an indispensable tool in the study of all other branches of Science. Reasonable proficiency in the theory and application of Mathematics is required for entry to all university undergraduate programs in the Health Sciences, Pure and Applied Sciences, Commerce and Computer Science.
Course Descriptions
Topics in Mathematics (MAT-LCX)
201-LCX-05 (3 -2-3) 2.66 credits
Prerequisite: Sec. V Math-536
A Marianopolis requirement in the Science program
Students with an enriched math background may seek an exemption from MAT-LCX. Exemptions are granted individually at registration.
This course covers material which prepares for and complements all Mathematics courses in the Science program, including MAT-NYA, MAT-NYB, MAT-NYC, MAT-LCU, MAT-LCV, MAT-LCW, MAT-LCY, and MAT-LCZ.
Content: Topics in analytic geometry; topics in trigonometry; algebra of complex numbers; polynomials over the real and complex number systems; arithmetic and geometric progressions; binomial theorem; mathematical induction; as time permits, additional topics from combinatorics, probability. This course is also offered in enriched format.
Calculus I (MAT-NYA)
201-NYA-05 (3-2-3) 2.66 credits
Prerequisites: MAT-LCX previously or concurrently for students not exempted from MAT-LCX
A required course in the Science program
Content: limits, continuity, derivatives by definition; techniques of differentiation; graphing; max-min problems; other applications. This course is also offered in enriched format.
Calculus II (MAT-NYB)
201-NYB-05 (3-2 -3) 2.66 credits
Prerequisite: MAT-NYA
A required course in the Science program
Content: Definite and indefinite integrals, Fundamental Theorem of Calculus; techniques of integration; indeterminate forms and improper integrals; applications to area, volume, arc length. Introduction to sequences and series of positive terms. Additional topics: parametric, polar curves, approximate integration as time permits.
This course is also offered in enriched format.
Calculus III (MAT-LCU)
201-LCU-05 (3 -2-3) 2.66 credits
Prerequisites: 75% in MAT-NYB; MAT-NYC previously or concurrently
An elective course in the Science program
Content: Infinite sequences and series; power series; vector functions and curves in parametric form; functions of several variables; partial derivatives, chain rule; extrema, Lagrange multipliers; multiple integration.
Linear Algebra I (MAT-NYC)
201-NYC-05 (3-2-3) 2.66 credits
Prerequisites: MAT-LCX previously or concurrently for Science students not exempted from MAT-LCX.
A required course in the Science program
Content: Systems of linear equations; matrix algebra; determinants; vectors in Rn, geometry of lines and planes in R3; Rn as a vector space; subspaces, basis and dimension; as time permits, linear transformations of the plane. This course is also offered in enriched format.
Linear Algebra II (MAT-LCV)
201-LCV-05 (3 -2-3) 2.66 credits
(Winter term only)
Prerequisites: MAT-NYC previously; MAT-NYB at least concurrently with grades of 75% or better in previous math courses.
An elective course in the Science program
Content: Vector spaces, basis and dimension; inner product spaces; linear transformations and their matrix representations; eigenvalues and eigenvectors; application to diagonalization of quadratic forms and solution of linear differential equations.
Probability and Statistics (MAT-LCW)
201-LCW-05 (3 -2-3) 2.66 credits
Prerequisite: MAT-NYB
An elective course in the Science program
Content: Descriptive statistics; measure of central tendency; probability; discrete and continuous distribution functions; mathematical expectation and variance; estimation and hypothesis testing; correlation and regression analysis; Chi-square Test.
Finite Mathematics (MAT-LCY)
201-LCY-05 (3 -2-3) 2.66 credits
(Winter term only)
Prerequisite: MAT-NYC previously or concurrently
An elective course in the Science program
This course will introduce the student to the mathematics of finance, probability, statistics, linear programming and Markov chains with an emphasis on real world applications.
Differential Equations (MAT-LCZ)
201-LCZ-MS (3 -2-3) 2.66 credits
(Winter term only)
Prerequisites: MAT-LCU previously or concurrently.
An elective course in the Science program
An introduction to differential equations with emphasis on applications to physics and engineering. First order linear and nonlinear differential equations, second order linear differential equations, vector spaces and the general theory of nth order linear equations; diagonalization of matrices and systems of linear differential equations. Laplace transform; nonlinear equations and stability. As time permits: numerical methods, partial differential equations and Fourier series.
