The following documents list required courses for each program and a suggested course schedule.

Note: Students may not be required to take all the courses listed below. See catalog for details.

Students earning a Bachelor of Science in Mathematics must complete the mathematics core of courses and one of the concentrations.

CSCI 105 | Introduction to Computer Science |

Introduction to computer hardware and software. Problem solving methods. Elementary concepts of algorithm development. C++ programming. | |

MATH 105 | Calculus I |

Limits, differentiation and integration of rational and trigonometric functions, with applications. | |

MATH 106 | Calculus II |

Differentiation and integration of logarithmic, exponential and inverse trigonometric functions; various methods of integration; infinite sequences and series; parametric equations, polar coordinates. | |

MATH 204 | Introduction to Abstract Math |

Set theory, Cartesian products, equivalence relations, images and inverse images, induction, recursions, inequalities, and field axioms. Emphasis on how to discover, write and present proofs. | |

MATH 205 | Calculus III |

Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space. | |

MATH 291 | Linear Algebra |

Topics from matrices, determinants, linear transformations and vector spaces. | |

MATH 305 | Introduction to Real Analysis I |

The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. | |

MATH 315 | Abstract Algebra I |

Introduction to abstract algebra with topics from elementary ring, field and group theories. Emphasis on ring of integers, congruences, polynomial domains, permutation groups. | |

MATH 370 | Readings in Mathematics |

Reading of material in a special topic. Colloquium participation. Writing and oral presentation of a research paper. |

Choose six courses (18 credits) at the 300 or 400 level in Math.

In addition to the core requirements above, this concentration must complete the following.

MATH 321 | Numerical Analysis |

Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. | |

MATH 331 | Probability |

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions. | |

MATH 332 | Statistics |

Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. | |

MATH 333 | Operations Research |

Mathematical foundations of model building, optimization, linear programming models, game theoretic models. | |

MATH 335 | Ordinary Differential Equations |

First order differential equations, second order linear differential equations, power series solutions, Laplace transforms, systems of first order linear equations. | |

MATH 440 | Complex Variables |

Complex variables, analytic functions, complex integral theorems, power series, conformal mappings. |

Choose one course (3 credits) at the 300 or 400 level in Math.

In addition to the core requirements above, this concentration must complete the following.

CSCI 106 | Data Structures |

Linear lists, strings, arrays and orthogonal lists; graphs, trees, binary trees, multi-linked structures, searching and sorting techniques, dynamic storage allocation; applications. | |

CSCI 220 | Computer Organization and Assembly Language Programming |

Fundamentals of digital logic and the architecture of modern computer systems, machine level representation of data, memory system organization, structure of machine languages, assembly language programming. | |

CSCI 400 | Theory of Algorithms |

Various types of algorithms, analytic techniques for the determination of algorithmic efficiency, NP-complete problems, complexity hierarchies, and intractable problems. | |

MATH 321 | Numerical Analysis |

Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. | |

MATH 331 | Probability |

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions. | |

MATH 332 | Statistics |

Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. | |

MATH 333 | Operations Research |

Mathematical foundations of model building, optimization, linear programming models, game theoretic models. |

Choose three courses (9 credits) at the 300 or 400 level in Math or Computer Science.

In addition to the core requirements above, this concentration must complete the following.

LEDU 301 | Introduction to Teaching |

This course examines the structure and function of the school, foundations of education, qualities required for teacher effectiveness, and contemporary issues in education. A 25-hour fieldwork practicum component is required. Successful completion of this course constitutes one of the requirements for admission to the Teacher Preparation Program. CBEST must be taken during this course. | |

LEDU 330 | Psychological Foundations of Education |

Application of psychological principles to the education process, role of the teacher and learner, human growth and development, learning styles, motivation, memory, transfer of learning, measurement and evaluation, research and experimentation in learning theory. | |

LEDU 341 | Methods of Teaching Linguistically Diverse Students |

Survey of the theories, programs, and instructional practices for English language development, including first and second language acquisition and individual factors affecting language acquisition. Strategies for the application of theory to classroom practice and instruction in content area literacy are emphasized. Principles of educational equity, diversity, and cultural and linguistic responsiveness are examined. | |

LEDU 425 | Secondary Content Area Reading |

Methods and materials for teaching reading through content areas in secondary schools; attention to reading techniques, testing, and individualization. | |

LEDU 433 | Single Subject Pedagogy |

During interrelated activities in program coursework and fieldwork, Single Subject candidates relate the Common Core and the state-adopted K-12 academic content standards for candidates in their specific subject area to major concepts and principles in their discipline, including planning, organizing, and implementing effective instruction (Grades 7-12). Single Subject Pedagogy - Art: â¨During interrelated activities in program coursework and fieldwork, Single Subject Art candidates learn, understand and use content-specific teaching strategies for achieving the fundamental goals of the state-adopted K-12 academic content standards for students in Art (Grades 7-12). Single Subject Pedagogy - English: During interrelated activities in program coursework and fieldwork, Single Subject English candidates learn, understand and use content-specific teaching strategies for achieving the fundamental goals of the state-adopted K-12 academic content standards for students in English (Grades 7-12). Single Subject Pedagogy - Methods of Teaching Spanish as a Foreign Language: During interrelated activities in program coursework and fieldwork, Single Subject Modern Language candidates learn, understand, and use specific teaching strategies and activities for achieving the fundamental goals of the state-adopted K-12 Foreign Language Framework and Student Academic Content Standards for students learning Spanish (Grades 7-12). Single Subject Pedagogy - Health Science: â¨During interrelated activities in program coursework and fieldwork, Single Subject Health Science candidates learn, understand and use content-specific teaching strategies for achieving the fundamental goals of the state-adopted K-12 academic content standards for students in Health Science (Grades 7-12). Single Subject Pedagogy - History/Social Science: During interrelated activities in program coursework and fieldwork, Single Subject History/Social Science candidates learn, understand and use content-specific teaching strategies for achieving the fundamental goals of the K-12 state-adopted academic content standards for History/Social Science (Grades 7-12). Single Subject Pedagogy - Mathematics: During interrelated activities in program coursework and fieldwork, Single Subject Mathematics candidates acquire a deep understanding of the interrelated components of a balanced program of mathematics instruction: computational and procedural skills; conceptual understanding of mathematics; and problem solving skills in mathematics, and acquire pedagogical skills that assist students in learning K-12 state-adopted academic content standards for Mathematics (Grades 7-12). Single Subject Pedagogy - Physical Education: During interrelated activities in program coursework and fieldwork, Single Subject Physical Education candidates learn, understand and use content-specific teaching strategies for helping students in learning K-12 state-adopted academic content standards for Physical Education (Grades 7-12). Single Subject Pedagogy - Science: During interrelated activities in program coursework and fieldwork, Single Subject Science candidates relate the state-adopted K-12 academic content standards for students in Science (Grades 7-12) to major concepts, principles and investigations in the science disciplines, including planning, organizing, and implementing effective instruction.
| |

LEDU 436 | Secondary Curriculum |

Secondary school curriculum, assessment, classroom management and teaching methods as they apply to the content areas in secondary school settings. | |

LEDU 437 | Secondary Curriculum Fieldwork |

A 60-hour fieldwork requirement to support the practical application of LEDU 436 Secondary Curriculum content. Candidates will design and teach several classroom lessons in local secondary schools. | |

MATH 318 | Biostatistics |

Prepares the student for biostatistical application essential to practice in evidence-based professions. Content includes: descriptive statistics; probability theory and rules; discrete and continuous probability distributions; sampling distributions; confidence intervals; hypothesis testing; experimental design; ANOVA; linear and multiple regression; contingency table analysis; non-parametrics; survival analysis; discussion of the use of statistics in journal articles. | |

MATH 331 | Probability |

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions. | |

MATH 332 | Statistics |

Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. | |

MATH 341 | Classical Geometry |

Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fermat center. Compass constructions. Solid geometry. Spherical geometry of arcs. Coordinate geometry. | |

MATH 415 | Number Theory and the History of Mathematics |

The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity and the distribution of prime numbers. |

Choose two courses (6 credits) at the 300 or 400 level in Math.