46 courses with the subject MATH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MATH 110M* Mathematical Reasoning and Logic 3SH
Significance of mathematics in human culture; conceptual aspects of mathematical thought. Topics selected from: logic, real numbers, elementary algebra and geometry, probability and statistics, matrices, and computers. Designed for the mathematics requirement in general education for the non-science, non- business major. Does not count toward the Mathematics major.
Geometric patterns; measurement; planar and solid figures and their properties; geometric construction; informal topology; geometric transformations; congruence and grid motion; symmetry and similarity.
Basic concepts of algebra; sets; algebraic operations; linear equations and systems of equations; radicals and quadratic equations; equations of degree higher than two; matrix algebra. This is the basic course for all subsequent courses in Mathematics.
Trigonometric functions, identities, and inverse functions; triangles, vectors and applications, exponential and logarithmic functions. Prerequisite: MATH 161M.
F; S (3 SH) Significance of mathematics in human culture; conceptual aspects of mathematical thought. Topics selected from: logic, real numbers, elementary algebra and geometry, probability and statistics, matrices, and computers. Designed for the mathematics requirement in general education for the non-science, non- business major. Does not count toward the Mathematics major.
II S (3 SH) Geometric patterns; measurement; planar and solid figures and their properties; geometric construction; informal topology; geometric transformations; congruence and grid motion; symmetry and similarity. Pre-
S (3 SH) Geometric patterns; measurement; planar and solid figures and their properties; geometric construction; informal topology; geometric transformations; congruence and grid motion; symmetry and similarity.
Differential calculus, including first and second derivatives, partial derivatives, maximizing and minimizing functions, logarithms, exponential functions and integration. MATH 215 may not be taken if MATH 300 level or above has been passed. Prerequisite: MATH 161M.
3 SH Basic concepts of algebra; sets; algebraic operations; linear equations and systems of equations; radicals and quadratic equations; equations of degree higher than two; matrix algebra. This is the basic course for all subsequent courses in Mathematics.
MATH 251M* Calculus with Analytical Geometry I 4SH
An integrated study of analytic geometry and the calculus; fundamental concepts of variables and functions; limits and continuity; differentiation and applications of differentiation; integration.
An integrated study of analytic geometry and the calculus; integration and applications of integration; logarithmic and exponential functions; trigonometric functions; further techniques of integration. Prerequisite: MATH 251M.
Matrices; systems of linear equations; determinants; vectors and vector spaces; linear transformations; Eigen values, associated Eigen vectors; solving differential equations by using Eigen values. Prerequisite or corequisite: MATH 251M.
An introduction to the basic techniques and modes of reasoning or combinatorial problem solving. Topics selected from graph theory and combinatorics, including basic properties of graphs and digraphs; graph coloring; trees; Eulerian and Hamiltonian circuits; elementary counting principles; permutations and combinations; inclusion/ exclusion principle; and recurrence relations. Prerequisite: MATH 252.
Probability; discrete variables and their probability distributions; continuous random variables and their probability distributions. Calculus-based. Prerequisite: MATH 252.
Functions of random variables; multivariate probability distributions; sampling distributions and the central limit theorem; estimation and hypothesis testing. Prerequisite: MATH 320.
A re-examination and in-depth extension of the concepts of limits, continuity, derivative, and integral to one and several variables. Prerequisite: MATH 254.
Functions of several variables; partial differentiation; implicit and inverse function theorems; point-set theory; continuous functions; integration theory. Prerequisite: MATH 351.
Geometry of two and three dimensions from an advanced viewpoint. Topics selected from: the incidence geometry of planes and space; similarities and congruencies; geometric inequalities; absolute geometry; the parallel postulate and parallel projection; polygonal regions; circles and spheres. Prerequisite: MATH 252.
PHYS 201N General Physics I 4SH OR PHYS 213 Calculus-Based General Physics I 4SH PHYS 202 General Physics II 4SH OR PHYS 214 Calculus-Based General Physics II 4SH
F even (3 SH) (WI) Geometry of two and three dimensions from an advanced viewpoint. Topics selected from: the incidence geometry of planes and space; similarities and congruencies; geometric inequalities; absolute geometry; the parallel postulate and parallel projection; polygonal regions; circles and spheres. This is a writing intensive course. Prerequisite: MATH 303.
S (3 SH) An introduction to the basic techniques and modes of reasoning or combinatorial problem solving. Topics selected from graph theory and combinatorics, including: basic properties of graphs and digraphs; graph coloring; trees; Eulerian and Hamiltonian circuits; elementary counting principles; permutations and combinations; inclusion/ exclusion principle; and recurrence relations. Prerequisite: MATH 303.
F odd (3 SH) Probability; discrete variables and their probability distributions; continuous random variables and their probability distributions. Calculus-based. Prerequisite: MATH 303.
S even (3 SH) Functions of random variables; multivariate probability distributions; sampling distributions and the central limit theorem; estimation and hypothesis testing. Prerequisite: MATH 440.
Computer arithmetic, systems of equations; interpolating polynomials; numerical methods applied to integration and differential equations; root solving. Prerequisites: MATH 285, MATH 280 and COMP 271 or above.
Properties of numbers, divisibility, primes, congruence of numbers, Diophantine equations, arithmetic functions and Fermat’s Theorem. Prerequisite: MATH 254.
S (3 SH) This course will provide students with an opportunity to participate in work experiences within mathematically related subjects. Students will be involved in a local high school and in Math 101 at Pfeiffer assuming designated servant leadership with specific tasks to be completed during the term. This hands-on experience integrates practical experience with classroom knowledge. Under the supervision of Pfeiffer mathematics faculty and a local schoolteacher, the student will develop a course contract to be agreed upon by the student, mathematics faculty member, and the Chair of the Mathematics Department. The student will be required to keep log time of activities and written reports. The local schoolteacher will also submit a written evaluation at the completion of the internship. Students are expected to complete 90 hours total for the semester credit received. Forty-five hours will be spent teaching Math 101, one class per week, grading and preparing for the lesson plan. Teaching at Pfeiffer will be under the supervision of math faculty. Math faculty must approve all lesson plans. Another forty-five hours will be through Gray Stone Day School. Prerequisite: Math 412. This course does not count toward the math major.
Junior status in mathematics and completion of MATH 254.
MATH 502Abstract Algebra
S (3 SH) (WI) Structure of the number system; basic algebraic properties groups, rings, integral domains, and fields. This is a writing intensive course. Prerequisite: MATH 400.
F even (3 SH) (WI) A re-examination and in-depth extension of the concepts of limits, continuity, derivative, and integral to one and several variables. This is a writing intensive course. Prerequisite: MATH 412.
II S odd (3 SH) (WI) Functions of several variables; partial differentiation; implicit and inverse function theorems; point-set theory; continuous functions; integration theory. This is a writing intensive course. Prerequisite: MATH 503.
S odd (3 SH) Computer arithmetic, systems of equations; interpolating polynomials; numerical methods applied to integration and differential equations; root solving. Prerequisites: MATH 400, MATH 420 and COMP 271 or above.
S even (3 SH) Properties of numbers, divisibility, primes, congruence of numbers, Diophantine equations, arithmetic functions and Fermat’s Theorem. Prerequisite: MATH 412.