Department: Mathematics

Code Name Description
MATH1101 Fundamentals of College Mathematics An introductory course in the study of linear and elementary quadratic equations, designed to help students develop critical thinking skills in the area of mathematics. The course emphasizes the importance of algebraic principles, applications and pr...
MATH1102 Fundamentals of Mathematics Laboratory A mathematics lab to be taken concurrently with MATH 1101, the course provides supplementary individual and small group instruction and supervised practice with fundamental algebra skills to help students succeed in MATH 1101. Students enrolled in MA...
MATH1105 Intermediate Algebra An intermediate algebra course connecting the real world to mathematics. Topics include: factoring polynomials and solving equations by factoring, rational expressions and equations; graphing functions; systems of equations; absolute value equations;...
MATH1106 Intermediate Algebra Laboratory A mathematics lab to be taken concurrently with MATH 1105, the course provides supplementary individual and small group instruction and supervised practice with intermediate algebra skills to help students succeed in MATH 1105.
MATH1110 Introduction to Mathematical Logic An introduction to mathematical logic covering Sentential and First Order Logic including the methodology of writing mathematical proofs; the course will look at logic from both the syntactic and semantic perspective. Topics include the deductive cal...
MATH1115 Survey of Mathematics A general survey course that emphasizes reasoning skills, real-life math applications and non-routine problem solving through individual and team assignments. Topics may include: inductive and deductive reasoning, logic, sequences, systems of numerat...
MATH1116 Problem Solving This course is designed to improve students' problem solving skills by investigating both traditional and non-traditional mathematics problems. Reasoning, reflection upon the problem solving process and the elements of effective thinking will be emph...
MATH1120 How Numbers Shape Our Lives This course takes a numerical approach to understanding contemporary issues and explores ways to apply mathematics in everyday life. Students will evaluate and interpret quantitative data, and use the results to form opinions and make decisions. Topi...
MATH1123 Statistics This course provides an introduction to descriptive and inferential statistics. Topics include describing, summarizing and displaying data, using sample statistics to estimate population parameters, evaluating hypothesis using confidence levels with...
MATH1130 Pre-Calculus I This course covers mathematical topics that prepare students for higher-level mathematics courses. Topics include: functions and their properties, polynomial and rational functions and their graphs, transformation method of graphing functions, expone...
MATH1140 Pre-Calculus II A second pre-calculus for students who have successfully completed MATH 1130 at HPU. Topics include: a brief review of functions introduced in MATH 1130 followed by in-depth development of the trigonometric and transcendental functions and their appl...
MATH1150 Pre-Calculus I and II Accelerated A course for well-qualified students who are prepared to complete the pre-calculus sequence in one term. The course includes all the topics covered in Pre-Calculus I, MATH 1130, and Pre-Calculus II, MATH 1140, but is presented in one term.
MATH1234 Introduction to Cryptology This course gives an historical introduction to Cryptology, the science of making and breaking secret codes. It begins with the oldest recorded codes, taken from hieroglyphic engravings, and ends with the encryption schemes used to maintain privacy d...
MATH2007 Mathematics Across the Ages A survey of the historical development of mathematical thought from ancient times to the present. Possible topics include: Babylonian, Egyptian, Greek, Chinese, Hindu, and Arabian mathematics; European mathematics in the middle ages and the Renaissan...
MATH2115 Survey of Mathematics No Description Set
MATH2130 Pre-Calculus I No Description Set
MATH2140 Pre-Calculus II No Description Set
MATH2150 Pre-Calculus I and II Accelerated No Description Set
MATH2214 Calculus I A course in single variable calculus which emphasizes limit, continuity, derivative, and integral. Primary focus is on the derivative with an introduction to the integral and elementary applications of the integral. Differentiation topics include: ch...
MATH2215 Calculus II A continuation of Calculus I, completing the development of the integral. Integration topics include: integration by parts, trigonometric substitution, method of partial fractions, length of curves, surfaces and volumes of revolutions. Other topics i...
MATH2216 Calculus III A course in calculus of several variables. The course begins with vector algebra, scalar and vector product, and elementary applications of vectors. Emphasis is placed on differentiation and integration of functions of several variables with peripher...
MATH2220 Proof Writing An introduction to proof writing and mathematical logic covering Sentential and First Order Logic, Introduction to Sets, Introduction to Formal Proofs and Practical proof writing for a working mathematician.
MATH2326 Mathematics for Decision-Making A course developing the quantitative skills necessary for the effective formulation and solution of problems in business, management, economics, and the social and life sciences. Topics include: probability and probability distributions, functions an...
MATH3110 Foundations of Mathematical Logic and Applications A course in mathematical logic covers Proof Theory, Model Theory, and the theory of Decidability. Topics include Sentential Logic, First order Logic, Deductive Calculus, Completeness and Soundness Theorems, Model theory, Isomorphisms, Compactness The...
MATH3214 Calculus I No Description Set
MATH3215 Calculus II No Description Set
MATH3220 College Geometry This course provides geometry content and process for those planning to become secondary math teachers. The course is also appropriate for other mathematics majors. Included are activities and discussions in inductive and deductive reasoning in Eucli...
MATH3234 Mathematical Cryptology This course gives a mathematical introduction to Cryptology, the art and science of making and breaking secret codes. It begins with the oldest recorded codes, and ends with the encryption schemes used to maintain privacy during Internet credit card...
MATH3240 Math Concepts for Elementary Teachers A review of the central concepts, tools of inquiry, and structures of the discipline of mathematics so that elementary teachers can create learning experiences that make aspects of the subject matter meaningful for students.
MATH3301 Discrete Mathematics This course focuses on the theory and application of mathematical principles critical to the computing sciences. Students study and apply key concepts in topics such as set theory, combinatorics, language and grammars, propositional and quantifier lo...
MATH3302 Elementary Number Theory Topics covered include prime and composite integers, factorization, divisibility, number theoretic functions, Diophantine equations, congruence of integers, quadratic reciprocity, mathematical inductions, cryptography, Pythagorean triples, real, comp...
MATH3305 Linear Algebra Elementary linear algebra with applications in the sciences, to computers and economics. Topics include: systems of linear equations; matrix theory, determinants and eigenvalues, geometry of Euclidean n-space; abstract vector spaces, bases, linear in...
MATH3306 Calculus III A course in calculus of several variables. The course begins with vector algebra, scalar and vector product, and elementary applications of vectors. Emphasis is placed on differentiation and integration of functions of several variables with peripher...
MATH3307 Differential Equations A course in ordinary differential equations utilizing concepts and techniques from Calculus I, II, and Linear Algebra. Emphasis is on solution to higher order linear equations. First order topics include: separation of variables, exact equations, int...
MATH3316 Problem Solving for Mathematics Teaching This course is designed to improve students' problem solving skills for solving both traditional and non-traditional mathematics problems. Reasoning, communicating mathematics, mathematical representations, and connections between various mathematica...
MATH3320 Set Theory To provide students with a solid background in set theory and to develop mathematical sophistication in general, this is a course in which covers ZF (Zermelo Frankel Axioms) and ZFC (ZF + the Axiom of Choice), DeMorgan's laws, Power Set, Set Algebra,...
MATH3330 Abstract Algebra An introduction to algebra as a deductive system. Topics include: complex numbers; well ordering; groups; cyclic groups; permutation groups; rings; equivalence relations; polynomial rings; division algorithm; unique factorization; zeros of polynomial...
MATH3450 Real Analysis An introduction to the theory of real analysis. Topics include: completeness of the real numbers; basic topology of the real numbers; continuous functions and compactness; sequences and series; limits; derivatives; mean value theorems; the Riemann in...
MATH3460 Probability Discrete and continuous probability with applications. Topics include: finite sample spaces; combinations and permutations; conditional probability; independent events; discrete random variables; continuous random variables; functions of random varia...
MATH3470 Applied Statistics Introduction to probability and probability distributions including techniques for finding expected values and variance of discrete and continuous variables. Certain distributions and their properties are examined to establish their application to ap...
MATH3500 Numerical Methods The purpose of numerical analysis is two-fold: (1) to find acceptable approximate solutions when exact solutions are either impossible or impractical, and (2) to devise alternate methods of solutions better suited to the capabilities of computers. To...
MATH3600 Mathematics for Data Science This course covers the mathematics behind a variety of data science concepts and techniques, including (deep) neural networks and Google's page rank algorithm. Its goal is to foster an understanding that promotes effective and efficient use of Data S...
MATH4210 Topology An introduction to the basic concepts of topology in the setting of metric spaces and more general topological spaces. Topics include completeness, compactness, connectedness, continuous functions and continuity in terms of nets, Hausdorf spaces, Pro...
MATH4301 Combinatorics and Graph Theory This course explains how to reason and model using enumerative combinatorics and applied graph theory. It also stresses the systematic analysis of different possibilities, exploration of the logical structure of a problem, and ingenuity. Combinatoria...
MATH4330 Abstract Algebra An introduction to algebra as a deductive system. Topics include: complex numbers; well ordering; groups; cyclic groups; permutation groups; rings; equivalence relations; polynomial rings; division algorithm; unique factorization; zeros of polynomial...
MATH4440 Real Analysis An introduction to the theory of real analysis. Topics include: completeness of the real numbers; basic topology of the real numbers; continuous functions and compactness; sequences and series; limits; derivatives; mean value theorems; the Riemann in...
MATH4450 Complex Analysis Complex Analysis is the theory and applications of analytic functions of a single complex variable. Topics include: Taylor and Laurent series representation, Cauchy's integral theorem and formula, residue calculus, harmonic functions, zeros and poles...
MATH4470 Partial Differential Equations This course explores applications of differential equations. Topics for this course include application of second order linear equations, series solutions of second order linear equations including Euler equations and Bessel’s equation, partial diffe...
MATH4471 Applications of Differential Equations Topics for this course include systems of first order linear equations, qualitative theory (existence, uniqueness, stability, and periodicity), boundary value problems, and Sturm-Liouville theory.
MATH4475 Modeling and Simulation Material includes the advanced study of mathematical techniques, algorithms, and applications applicable to assist and improve decision-making in the management and behavioral sciences. The course focuses on both the techniques and the use of the com...
MATH4920 Math Education Practicum This course combines the study of mathematics problem-solving with practical classroom experience. Students will investigate the issues of teaching mathematics while gaining practical experience as tutors. Students will follow the progress of their o...
MATH4940 Research in Logic or Pure Math Text will vary depending on subject of concentration of each student. Forty percent of the grade will be determined by a final project, 40% by final presentation, and 20% by oral exams so that the instructor can evaluate students on their preparation...
MATH4950 Research in Applied Mathematics MATH 4950 Research in Applied Mathematics is an upper division course for senior students from any major in CNCS. Students work closely with a faculty memeber in the Department of Mathematics who will guide them in learning advanced topics and doing...
MATH4960 Observation/Participation No Description Set
MATH4980 Secondary Math Student Teaching Practicum in Math student teaching.