Mth 102. Thinking Mathematically
(Perspectives I course)
A problem- solving course for non-majors designed to improve students' application of mathematical concepts in their everyday experience. These concepts will be developed through inductive/deductive reasoning, and topics such as patterns, sequences, geometry, topology, and fractals. Must also enroll in Mth 102L if Mathematics SAT is less than 400 and ACT score is below 18. Prerequisite: Mathematics SAT of at least 400 or ACT score of at least 18.
3 credits, 3 hours
Mth 102L. Thinking Mathematically Lab
Intensive mathematics laboratory to complement Mth 102, it is designed to focus on the mathematical strengths and weaknesses of students while its content parallels that of Mth 102. Students will study in small groups and receive individual assistance from the instructor.
This course is open to all students who are concerned about their mathematical preparation for Mth 102. Students with neither an SAT score above 400 nor an ACT score above 18 must register for this lab and a section of Mth 102 in the Fall of their Freshman year.
0 credits, 1.5 hours
Mth 109. The Mathematical Experience
(Perspectives I course, Writing intensive)
What is mathematics, what do mathematicians do, and why do people do mathematics?
These fundamental questions are addressed in this course to reveal the history, nature, goals and accomplishments of mathematics. The course is especially suited to those with inquiring minds, regardless of their previous mathematical experience. Prerequisite: Mathematics SAT of at least 400 or ACT of at least 18.
3 credits, 3 hours
Mth 111. Applied Calculus
(Perspectives I course)
This course will address many of the basic concepts from single variable calculus. An intuitive approach will be used that will allow the student to explore and investigate these concepts. The emphasis in this course will be on the applications of the calculus, particularly the applications of differential calculus with some time spent on the integral calculus. (Not preparation for Mth 114.) Prerequisite: 3 years of high school preparation for Precalculus with a C grade or better and Mathematics SAT of at least 400 or ACT of at least 18. TI-83 calculator required, rental available.
3 credits, 3 hours
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Mth 112. Precalculus
(Perspectives I course)
Topics include analytic geometry, trigonometric, exponential, logarithmic, polynomial and rational functions and relations. Prerequisite: 3 years of high school math including intermediate algebra. TI-83 calculator required, rental available.
3 credits, 3 hours
Mth 113. Calculus I
(Perspectives I course)
Topics include functions, limits, the derivative and applications, the integral and applications, and fundamental theorems. Prerequisite: Precalculus with a C grade or better, or equivalent preparation. TI-83 calculator required.
4 credits, 4 hours
Mth 114. Calculus II
(Perspectives II course)
Techniques of integration, applications of integration, introduction to differential equations, infinite sequences and series. Prerequisite: Mth 113 with a C grade or better. TI-83 calculator required. (Other calculators may be used with permission of instructor.)
4 credits, 4 hours
Mth 201. Introduction to Mathematical Structures
(Writing Intensive)
An introduction to advanced mathematical language, literature, logic, composition, theorem proving, and problem-solving. Prerequisite for many upper-division math courses. Prerequisite: Mth 114 with C grade or better or permission of instructor.
3 credits, 3 hours
Mth 205. Mathematical Connections
(Perspectives II course)
This course emphasizes the connections between contemporary mathematics and modern society. It will attempt to develop the student's capacity to engage in logical thinking, and to convey the power of mathematics as illustrated by the variety of problems that can be modeled and solved by quantitative means. Problems from areas such as operations research, election theory, and fair division are studied. Prerequisite: any Perspectives I Mathematics course.
3 credits, 3 hours
Mth 207. Elementary Statistics
(Perspectives II course)
A course for non-majors. Emphasizes descriptive statistics, probability, correlation, estimation and several types of hypothesis tests. Prerequisite: any Perspectives I Math course.
3 credits, 3 hours
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Mth 213. Calculus III
(Perspectives II course)
Functions of several variables, partial differentiation, multiple integrals and vector calculus. Prerequisite: Mth 114 with C grade or better. Graphing calculator required.
4 credits, 4 hours
Mth 215. Exploring Mathematics
(Perspectives II Course)
In this course, students reflect on human mathematical development and link that knowledge to the developmental level of a learner. The student will investigate such human factors as memory, knowing, language, logic and aptitude as they relate to learning mathematics. Specifically the mathematical topics covered include logical classification, numeration systems, Euclidean geometry, topology and measurement. Prerequisite: Perspectives I Mathematics course: Prerequisite: Edu 204 or taken concurrently, and any PI mathematics course. Not open to freshmen.
3 credits, 3 hours
Mth 302. Differential Equations
A study of techniques for solving a variety of differential equations including separable variables, homogeneous, exact, and linear equations. Other methods and applications as time permits including the method of undetermined coefficients, the Laplace transform, and power series. Prerequisite: Mth 213 with C grade or better.
3 credits, 3 hours
Mth 304. Probability and Statistics
A calculus based course covering standard topics in probability and statistics. The topics in probability include: discrete and continuous probability density functions, independence and dependence, combinatorics, random variables, distribution and density functions, and expectation. The topics in statistics include: analysis, distributions, Central Limit Theorem, estimation, inference, regression, correlation, and analysis of variance. Prerequisite: Mth 201 with C grade or better or permission of instructor.
3 credits, 3 hours
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Mth 309. History of Mathematics
(Writing Intensive, Global Studies)
The development of elementary and advanced mathematics from ancient to modern times. Prerequisite: Mth 201 with C grade or better.
3 credits, 3 hours
Real vector spaces, systems of linear equations, real inner product spaces, linear transformations and matrices, determinants, eigenvalues and eigenvectors. Prerequisite: Mth 201 with C grade or better or permission of the instructor.
3 credits, 3 hours
Mth 314. Introduction to Probability
Discrete and continuous probability functions; conditional probability; independence and dependence; combinatorics; random variables; distribution functions and density functions; expectation; moment-generating functions; special distributions including binomial, normal and Poisson. Prerequisite: Mth 201 with C grade or better.
3 credits, 3 hours
Topics include error analysis, Taylor polynomials, rootfinding, interpolation, approximation of functions, numerical integration and differentiation, solutions of systems of linear equations, numerical solutions of differential equations, and other topics as time permits. Prerequisite: Mth 201 with C grade or better.
3 credits, 3 hours
Mth 390. Special Topics in Mathematics
Choice of topics reflects the special interest of students and instructors. Examples are chaos and fractals, topology, complex variables, game theory. Prerequisite: Mathematics 201 with C grade or better.
3 credits, 3 hours
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Mth 399. Seminar in Problem Solving
Students will be actively involved in investigating collections of non-routine problems from a variety of sources. Prerequisite: Linear Algebra and Junior status, or permission of the instructor.
1 credit, 2 hours
An in-depth study of the real numbers and functions on the real numbers. Topics include the axioms for the real number system, the elementary topology of Euclidean space and a study of sequences, limits, continuity, differentiation, integration, and infinite series. Prerequisites: Mth 201 with C grade or better and Mth 213.
3 credits, 3 hours
Algebraic structures, groups, rings, integral domains, fields, polynomial rings. Prerequisite: Mth 201 with "C" grade or better.
3 credits, 3 hours
A study of the properties of the integers. Topics include divisibility, factorization, numerical functions, algebra of congruence classes, modular arithmetic, Diophantine equations, and quadratic reciprocity. Applications in cryptography and primality testing as time allows. Prerequisite: Mth 201 with C grade or better.
3 credits, 3 hours
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Mth 417. Foundations of Geometry
A study of Euclidean and non - Euclidean geometries. Focus is on the axiomatic method and the significance of the discovery of non - Euclidean geometry. Students investigate various aspects and applications of geometry and related mathematical topics through projects. Prerequisite: Mth 201 with C grade or better.
3 credits, 3 hours
Mth 425. Mathematical Modeling
A study of the relationship between mathematics and other disciplines. Mathematical models for interesting and significant problems in these disciplines are constructed, analyzed and interpreted. Prerequisite: Mth 201 with C grade or better.
3 credits, 3 hours
Mth 457. Curriculum Methodology in Middle School and Senior High
Special methods and techniques for teaching middle school and senior high mathematics, with emphasis on new methods and materials. 35 hours of field participation required. Prerequisite: Mth 201 with C grade or better.
3 credits, 3 hours
Mth 479. Student Teaching, Middle School and Senior High
The field-based practicum in Mathematics in middle school and senior high.
6 credits
Mth 485, 486. Independent Study
Advanced study in mathematics through readings and tutorials in an area of mutual interest arranged by individual student with a faculty member.
3 credits, 3 hours
0 credits, 0 hours
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Nazareth College
4245 East Avenue, Rochester, NY 14618
