MATHEMATICS CORE

Take the following courses:

MA-130 Calculus I

An introduction to calculus including differentiation and integration of elementary functions of a single variable, limits, tangents, rates of change, maxima and minima, area, volume, and other applications. Integrates the use of computer algebra systems, and graphical, algebraic and numerical thinking.

4 CreditsN, QM

MA-160 Linear Algebra

An introduction to systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, and applications.

3 CreditsN, QMPrerequisites: MA130.

MA-210 Foundations of Mathematics

An introduction to the logical and set-theoretic basis of modern mathematics. Topics covered include propositional and predicate logic; induction; naive and axiomatic set theory, binary relations, mappings, infinite sets and cardinality; finite sets and combinatorics; and an introduction to the theory of computability. Students will learn to read and to express mathematical ideas in the set-theoretic idiom.

3 CreditsCWPrerequisites: MA160 or MA116 or PL208 or MA208 or permission of the instructor.

MA-230 Calculus II

Expands the treatment of two-space using polar and parametric equations. Emphasizes multivariable calculus, including vectors in three dimensions, curves and surfaces in space, functions of several variables, partial differentiation, multiple integration, and applications.

4 CreditsN, QMPrerequisite: MA130

MA-235 Calculus III

A continuation of the calculus sequence. Topics include methods of integration by Simpson's Rule, applications, Taylor and Fourier series; introduction to ordinary differential equations; integration in polar, cylindrical, and spherical coordinates; differential and integral vector calculus.

4 CreditsN, QMPrerequisites: MA230.

MA-350 Topics in Geometry

Examines the history and development of geometry with an axiomatic development of Euclidean geometry leading to an investigation of hyperbolic and elliptical non-Euclidean geometries. The roles of these discoveries in the history of mathematics are emphasized.

3 CreditsNPrerequisites: MA210 or PL208 or MA208.

MA-355 Nature of Mathematics

An introduction to the history and philosophy of mathematics. Briefly traces the historical development of mathematics from its Oriental and Greek origins to modern times. Surveys the different philosophies of mathematics and provides some insight into the current crisis in the foundations of mathematics.

1 Credit Corequisite: MA350. Prerequisite: MA210 or PL208 or MA208.

MA-360 Abstract Algebra

Investigates the algebraic properties of the real numbers and their generalizations. Emphasis on group theory, with introductions to integral domains, rings, fields and vector spaces.

3 Credits Prerequisites: MA160 and MA210.


Take one of the following courses:

MA-205 Elementary Statistics

Introduction to traditional statistical concepts including descriptive statistics, binomial and normal probability models, confidence intervals, tests of hypotheses, linear correlation and regression, two-way contingency tables, and one-way analysis of variance.

4 CreditsN, QS, WK-SPPrerequisite: FYC-101 or EN-110 or EN-109

MA-220 Introduction to Probability & Statistics

An introduction to the basic ideas and techniques of probability theory and to selected topics in statistics, such as sampling theory, confidence intervals, and linear regression.

4 CreditsN, QS, CTGESPrerequisite: MA130


Take one of the following courses:

MA-303 Mathematical Modeling

How to use mathematics to model " real-world " problems. Modeling topics range from population dynamics to economics to the nuclear arms race. Mathematical tools range from calculus to curve fitting to computer simulation. How to make a little bit of mathematics go a long way. 

3 CreditsN, QM, CWNote: MA160 is recommended. Prerequisite: MA130 and experience with programming and Minitab.

MA-341 Scientific Computing

This course begins with an introduction to fundamental concepts in Scientific Computing and concludes with domain-specific projects in areas like Bioinformatics, Data Science, Physical Systems, and Numerical Analysis. The common content will include command-line interfaces (Linux), programming languages (Jupyter/Python), numerical and graphical libraries (NumPy and Matplotlib), version-control (Git/Github), and relational databases (SQL).

3 CreditsNPre-Req: CS-110


UPPER-LEVEL CORE

Take 8 credits at the 300 or 400 level from the Mathematics Department (excludes MA-303, MA-350, MA-355, MA-360 and MA-480).


MATH RELATED COURSES

Take one of the following courses:

MA-116 Discrete Structures

Introduces mathematical structures and concepts such as functions, relations, logic, induction, counting, and graph theory. Their application to Computer Science is emphasized.

4 CreditsN, QPre-requisite high school algebra.

CS-116  Discrete Structures

Discrete Structures (Fall; Yearly; 4.00 Credits; N, Q) Introduces mathematical structures and concepts such as functions, relations, logic, induction, counting, and graph theory. Their application to Computer Science is emphasized. 

4 CreditsQ,NPre-requisite: high school algebra. 


Take the following course:

CS-110  Computer Science I

An introductory study of computer science software development concepts. Python is used to introduce a disciplined approach to problem solving methods, algorithm development, software design, coding, debugging, testing, and documentation in the object oriented paradigm. This is the first course in the study of computer science. 

3 CreditsN,CTGES,CTGISRecommended programming experience or IT110 or IT100, IT111 or IM110 or MA103 but not necessary. 


ADDITIONAL COURSES

Take 2-5 additional credits from the DS - Data Science, CS - Computer Science or PC - Physics departments.  (Also includes MA-208, PL-208, IT-105 and PL-105)


EDUCATION CORE

Take the following courses:

ED-110 Foundations of Education

Discusses the historical and contemporary bases of major political, economic, legal, sociological, and psychological issues affecting public school systems. Students review current issues in education and write a personal philosophy statement.

3 CreditsSCorequisite: ED111.

ED-111 Foundations of Education Field Experience

Provides a classroom experience for freshmen and students who are interested in education to explore teaching as a career and observe the application of multiple philosophies, theories, and teaching strategies.

1 CreditSCorequisite: ED-110

ED-130 Adolescent Development

Examines human physical, cognitive, and social-emotional development from preadolescence through emerging adulthood. Topics include: identity, sexuality, and gender issues; emotional and behavioral challenges of adolescence, the impact of culture, language, and disability on adolescents, and the role of family, schools, and peers on development.

3 CreditsSEnrollment priority in this course is given to Education POEs.

ED-240 Introduction to Students With Exceptionalities

Introduces the culture of exceptionalities within the public special education system. Historical, philosophical, educational, and legal perspectives will be presented. Students will learn the categories of exceptionalities, general characteristics of individuals with exceptionalities eligibility criteria, and the referral process for special education services. Professional and community resources, inclusion and other current issues will be discussed.

3 CreditsSPrerequisites: ED-110 and ED-111 and either ED-120 or ED-130.

ED-314 English Language Learners

Focuses on the historical, legal, and cultural issues pertaining to meeting the educational needs of English language learners. Students are be introduced to research based best practices in instruction and assessment strategies for working with English language learners in the general education classroom setting.

1 CreditSPrerequisite: ED120 or ED130.

ED-341 Adaptations for Students With Exceptionalities

The purpose of this course is to learn how to develop and manage effective inclusive learning environments for students with disabilities at the secondary level. Content will focus on the knowledge and skills necessary to create an instructional environment that communicates challenging expectations to students while utilizing and modifying research based instructional strategies/resources/technologies. Students will learn the critical components of effective collaboration with parents and professionals. Successful completion of a field experience in an educational setting is also a requirement.

4 CreditsCW, SPrerequisites: ED110, ED111 and ED240.

ED-419 Pre-Student Teaching Field Experience

Secondary pre-student-teaching practicum is a required 80-hour minimum practicum in the linked placement where you will be going for student teaching. Students should plan to spend four consecutive hours in their placement each week.Reliable transportation is REQUIRED.

1 CreditSCo-Requisite: ED-420.

ED-420 General Secondary Methods

Requires the application and practice of evaluation and assessment of learning and classroom management. Students are required to complete a field experience in their upcoming student teaching placement.

3 CreditsSPrerequisites: ED341 and junior or senior standing. Corequisite: ED419. Note: Students must have reliable transportation. (3.0 overall GPA required).

ED-423 Secondary Education Field Trip

Secondary Education Field Trip (1 credit): Join in an interdisciplinary course that will design and execute a field trip for local secondary students. This is a practical application course that will highlight the importance of field trips and provide an opportunity for designing and executing a successful field trip.

1 CreditS 


CAPSTONE

Take the following courses:

ED-450 Student Teaching

Student teaching is the capstone experience for students preparing for certification to teach in their content area(s). Students synthesize and apply knowledge of developmental theory, content, and teaching methodology as they design, implement, and evaluate learning experiences in an intensive internship in the classroom. Corequisite: ED451 and completion of all clearances and requirements. Note: A special fee is assessed. Secondary level student teaching is in the fall semester; PreK-4th, and foreign language education student teaching is in the spring semester. Students must have access to reliable transportation.

14 CreditsS,SW-LE 

ED-451 Student Teaching Seminar

In conjunction with student teaching, students attend weekly seminars that are led by the college supervisors. These meetings focus on professional topics and allow students to reflect upon and share their student teaching experience. In addition, students develop interviewing techniques, become familiar with employment seeking strategies, and develop a portfolio that includes but is not limited to a resume, a philosophy of education statement, lesson plans, and documentation of professional experiences.

1 CreditSCorequisite: ED450.


**ED 450 & 451 (Student Teaching and Seminar) may be taken only in the FALL semester of the senior year. Secondary Foreign Language Education majors take ED 450 & ED 451 in the SPRING semester. ED 450 requires students’ full-time participation and no other courses may be taken during this semester without the education advisors' approval. Students must have reliable transportation.


NOTE: It is imperative that students work closely with their advisors to meet all current certification requirements. All students must meet a minimum GPA requirement and pass the PRAXIS I and II exams. All students are required to take six credits of English composition (or equivalent) and literature (or the equivalent) and two college level mathematics courses (or the equivalent) prior to being admitted to a certification program. See Section I of the Education Department Student Handbook for explanation of all certification requirements.


Students must have advisor who is a member of the Mathematics Department faculty and Dr. Kathleen Jones in the Education Department.


POE Credit Total = 84-87

Students must complete at least 18 credits at the 300/400-level.  Any course exception must be approved by the advisor and/or department chair.


Juniata students receive excellent preparation for becoming high school mathematics teachers. Students with a POE in Mathematics/Secondary Education take a full slate of mathematics courses, while receiving great training in Juniata’s Education Department. Mathematics teachers from Juniata are known and in demand throughout the region, as our graduates secure teaching jobs with ease.

 
This POE accurately reflects the requirements for a full Mathematics degree as well as required courses in Education. The POE represents the courses required to meet Pennsylvania Department of Education (PDE) secondary education certification guidelines.