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Mathematics 4-8 Mathematics Certification
Teacher Preparation Program Admission Requirements
Traditional Undergraduate Teacher Preparation Program
Applications for admission to the Teacher Preparation Program are accepted in September for the following spring semester and in February for the following fall semester.
- Application to program submitted through TK20, to include the following:
- Disposition Survey
- Code of Ethics Reflection Statement
- Completed FERPA form
- Payment of $35.00 application fee.
- Overall GPA of 2.80 or higher. The Overall GPA requirement changes to 2.70 or higher beginning with the Spring 2024 semester.
- Complete a writing sample and interview as a requirement for the application to the Teacher Preparation program.
- Completed hours in content area: For mathematics 4 - 8 certification , 15 semester hours from the content area with no grade below “C.
- Advising from assigned faculty advisors in the Teacher Education program.
Out-of-Country Applicants
Out-of-country applicants to the teacher preparation program must meet ONE of the following:
- Verification of satisfactory score on the Test of English as a Foreign Language- Internet Based Test (TOEFL-IBT). The acceptable passing scores are: Speaking 24, Listening 22, Reading 22, Writing 21.
- Completion of an undergraduate or graduate degree in the U.S.
- Completion of an undergraduate or graduate degree outside of the U.S. from the list of approved countries generated by the Texas Education Agency.
For Admission to Field-Based Co-Teaching Semester
- A Notice of Intent for Field-Based Co-Teaching semester submitted in TK20 in September for the following spring semester and in February for the following fall semester.
- Completion of appropriate coursework.
- Minimum of 2.80 GPA overall; no grade below "C" in upper-division courses. The Overall GPA requirement changes to 2.70 or higher beginning with the Spring 2024 semester.
For Admission to the Clinical Co-Teaching Semester
- Successfully complete all program requirements.
- Successful completion of Field-Based Co-Teaching semester as determined by Chair of Teacher Education.
- Continued placement in assigned K-12 classroom.
- Maintain 2.80 cumulative GPA ; no grade below "C" in upper-division courses. The Overall GPA requirement changes to 2.70 or higher beginning with the Spring 2024 semester.
Degree Requirements
Students should refer to their DegreeWorks degree audit in their Web for Students account for more information regarding their degree requirements.
| Code | Title | Hours |
|---|---|---|
| Major Requirements 6 | ||
| General Education Requirements | 42 | |
| MATH 2305 | Discrete Mathematics | 3 |
| MATH 2318 | Linear Algebra | 3 |
| MATH 2413 | Calculus I 7 | 4 |
| MATH 2414 | Calculus II | 4 |
| MATH 2415 | Calculus III | 4 |
| MATH 321 | College Geometry | 3 |
| MATH 330 | Math Foundations and Applications | 3 |
| MATH 334 | Introduction to Abstract Algebra | 3 |
| MATH 357 | Probability and Statistics using R | 3 |
| MATH 380 | Real Analysis | 3 |
| MATH 430 | Mathematical Modeling | 3 |
| MATH 437 | Number Theory | 3 |
| Other Requirements: | ||
| BIOL 1308 | Biology for Non-Science Majors I 7 | 3 |
| BIOL 1108 | Biology for Non-science Majors I Lab 7 | 1 |
| BIOL 1309 | Biology for Non-Science Majors II 7 | 3 |
| BIOL 1109 | Biology for Non-science Majors II Lab 7 | 1 |
| PHYS 1415 | Physical Science I 7 | 4 |
| RDG 343 | Content Area Literacy Instruction for Secondary Students | 3 |
| RDG 350 | Early Literacy Development and the Science of Teaching Reading (EL) | 3 |
| Upper Division Electives | 9 | |
| Prof. Development 3 | ||
| ED 311 | Teaching and Learning for Social Change (EL) | 3 |
| ED 321 | Secondary School Methods | 3 |
| Block 1 | ||
| ED 331 | Classroom and Behavior Management 9 | 3 |
| ED 495 | Field-Based Co-Teaching Semester 9 | 3 |
| Block 2 | ||
| ED 496 | Clinical Co-Teaching Semester (EL) 10 | 3 |
| SPED 418 | Inclusion of Students with High Support Needs in the Content Areas 10 | 3 |
| Electives | ||
| as needed to satisfy minimum degree requirements including 54 SCH in Upper Division coursework | ||
| Minimum Hours for Degree | 120 | |
- 6
Minimum grade of "C" required in all Major, Education and Professional Development Courses
- 7
Satisfies core curriculum
- 8
Requires Admission to Teacher Prep Program
- 9
Requires successful placement interview with a partnership public school district
- 10
Requires passing all TExES exams
Note: A minimum of 54 upper division hours (300 and 400 level courses) are required for this degree. Resident credit totaling 25% of the hours is required for the degree. A minimum GPA of 2.0 is required in three areas for graduation: Overall GPA, Institutional GPA, and Major GPA.
Mathematics 4-8 Mathematics Certification 4 Year Plan
First Year
| Code | Title | Hours |
|---|---|---|
| Fall | Semester Credit Hours | |
| HIST 1301 | United States History I Satisfies Core Curriculum | 3 |
| ENGL 1301 | Composition I requires minimum grade of 'C', Satisfies Core Curriculum | 3 |
| MATH 2413 | Calculus I Requires a minimum grade of 'C', Satisfies Core Curriculum, Calculus I pre-requisites (if any) will be determined by the College of CBET using established readiness indicators. | 4 |
| PHYS 1415 | Physical Science I | 4 |
| IS 1100 | University Foundations mandatory for FTIC students only | 1 |
| Fall Total Semester Credit Hours | 15 | |
| Spring | Semester Credit Hours | |
| HIST 1302 | United States History II Satisfies Core Curriculum | 3 |
| ENGL 1302 | Composition II Satisfies Core Curriculum | 3 |
| MATH 2414 | Calculus II requires minimum grade of 'C' | 4 |
| MATH 2305 | Discrete Mathematics | 3 |
| Social and Behavioral Science Core Curriculum Requirement | 3 | |
| Spring Total Semester Credit Hours | 16 | |
| Total First Year Semester Credit Hours | 31 | |
Second Year
| Code | Title | Hours |
|---|---|---|
| Fall | Semester Credit Hours | |
| MATH 2415 | Calculus III requires minimum grade of 'C' | 4 |
| MATH 2318 | Linear Algebra requires minimum grade of 'C' | 3 |
| PSCI 2301 | American Government I: Federal & Texas Constitutions Satisfies Core Curriculum | 3 |
| BIOL 1308 | Biology for Non-Science Majors I Satisfies Core Curriculum | 3 |
| BIOL 1108 | Biology for Non-science Majors I Lab Satisfies Core Curriculum | 1 |
| SPCH 1315 | Public Speaking Satisfies Core Curriculum | 3 |
| or COMM 1307 | Introduction to Mass Communication | |
| or COMM 1311 | Introduction to Communication Studies | |
| Fall Total Semester Credit Hours | 17 | |
| Spring | Semester Credit Hours | |
| BIOL 1309 | Biology for Non-Science Majors II Satisfies Core Curriculum | 3 |
| BIOL 1109 | Biology for Non-science Majors II Lab Satisfies Core Curriculum | 1 |
| MATH 334 | Introduction to Abstract Algebra | 3 |
| PSCI 2302 | American Government II: Federal & Texas Political Behavior Satisfies Core Curriculum | 3 |
| Creative Arts Core Curriculum Requirement | 3 | |
| Language, Philosophy and Culture Core Curriculum Requirement | 3 | |
| Spring Total Semester Credit Hours | 16 | |
| Summer | Semester Credit Hours | |
| RDG 343 | Content Area Literacy Instruction for Secondary Students requires minimum grade of 'C' | 3 |
| Summer Total Semester Credit Hours | 3 | |
| Total Second Year Semester Credit Hours | 36 | |
Third Year
| Code | Title | Hours |
|---|---|---|
| Fall | Semester Credit Hours | |
| ED 321 | Secondary School Methods requires minimum grade of 'C' | 3 |
| MATH 380 | Real Analysis | 3 |
| MATH 437 | Number Theory | 3 |
| RDG 350 | Early Literacy Development and the Science of Teaching Reading (EL) | 3 |
| Upper Division Elective | 3 | |
| Fall Total Semester Credit Hours | 15 | |
| Spring | Semester Credit Hours | |
| MATH 357 | Probability and Statistics using R requires minimum grade of 'C' | 3 |
| MATH 330 | Math Foundations and Applications | 3 |
| ED 311 | Teaching and Learning for Social Change (EL) requires minimum grade of 'C' | 3 |
| Upper Division Elective | 3 | |
| Spring Total Semester Credit Hours | 12 | |
| Total Third Year Semester Credit Hours | 27 | |
Fourth Year
| Code | Title | Hours |
|---|---|---|
| Fall | Semester Credit Hours | |
| ED 495 | Field-Based Co-Teaching Semester requires minimum grade of 'C' | 3 |
| ED 331 | Classroom and Behavior Management | 3 |
| MATH 321 | College Geometry | 3 |
| MATH 430 | Mathematical Modeling | 3 |
| Elective - Upper Division as needed to meet upper division and overall requirement | 3 | |
| Fall Total Semester Credit Hours | 15 | |
| Spring | Semester Credit Hours | |
| ED 496 | Clinical Co-Teaching Semester (EL) requires minimum grade of 'C' | 3 |
| SPED 418 | Inclusion of Students with High Support Needs in the Content Areas requires minimum grade of 'C' | 3 |
| Electives as needed to satisfy minimum degree requirements including 54 semester credit hours of upper division coursework or total semester credit hours | 5 | |
| Spring Total Semester Credit Hours | 11 | |
| Total Fourth Year Semester Credit Hours | 26 | |
| Total Semester Credit Hours required for Degree | 120 | |
Minimum Grade of "C" is required in all Major, ED, RDG, SPED, and Professional Development course
Note: A minimum of 54 upper division hours (300 and 400 level courses) are required for this degree. Resident credit totaling 25% of the hours is required for the degree. A minimum GPA of 2.0 is required in three areas for graduation: Overall GPA, Institutional GPA, and Major GPA.
Undergraduate courses in Mathematics 4-8 Mathematics Certification
ED 311. Teaching and Learning for Social Change (EL). 3 Hours.
This foundational education course explores the breadth of educational settings for students and the role the teacher plays in disrupting structural inequities and advancing justice in the classroom. Cultural, emotional, physical, intellectual, and learning differences are studied for their impact on learning abilities and educational opportunity. The course draws upon a framework of understanding that includes the 1) introduce and prepare sections of the teacher education learning cycle and 2) the four dimensions of equity. Students will apply educational theory to practical implementation of high leverage practices and consider how such practices enhance learning for all students. Students must be considered in their junior year and will be required to participate in 10 hours of field experiences and participate in practice-based learning opportunities to complete course requirements. This course integrates the principles of experiential learning and meets the criteria for field work.
ED 321. Secondary School Methods. 3 Hours.
This course provides students seeking certification in grades 4-8 and 7-12 skills for reading, critiquing, and adapting curriculum, planning effective instruction, creating assessments that provide a feedback loop, implementing differentiated methods for diverse populations, and delivering content effectively. Students will apply skills and knowledge in lesson plans, unit plans, and teaching simulations. This course integrates the principles of Experiential Learning and meets the criteria for fieldwork.
ED 331. Classroom and Behavior Management. 3 Hours.
This course presents current strategies for classroom and behavior management including classroom procedures and expectations, organization of materials, and classroom space for optimum learner benefit. An emphasis will be placed on the high-leverage instructional practice, developing meaningful relationships. University students will engage in strategies that support equity for diverse and marginalized students and large diverse classrooms. Basic federal and state laws for all teachers, including teachers of students with disabilities (dyslexia, emotional/behavior disorders, autism), English as a Second Language (ESL) and other at-risk students will also be presented. This course will require university students to learn and practice strategies and techniques through authentic and interactive field experiences. Prerequisite: Admitted to the Teacher Preparation Program.
ED 435. Secondary Content Pedagogy. 3 Hours.
This course provides students seeking certification in grades 4-8 and 7-12 with pedagogical best-practices. Students will learn lesson planning, assessment, and available resources for their specific content area. Methods for accessing and processing information through traditional as well as new technologies will be addressed. Prerequisite: Admission to the Teacher Preparation Program.
ED 495. Field-Based Co-Teaching Semester. 3 Hours.
This course provided clinical experience in the public school setting as part of the field experience requirements for the undergraduate Teacher Preparation Program. The Teacher Candidate is required to spend six hours per week for 12 weeks in an assigned classroom. A university field supervisor in conjunction with the cooperating teacher supervises the Clincial Teacher. Block 1 is the first semester of the co-teaching assignment (2 semesters) in which the Teacher Candidate and Cooperating Teacher are considered co-teachers for the class. Course is graded on a Satisfactory (S) or Unsatisfactory (U) basis for 3 SCH. This course integrates the principles of experiential learning and meets the criterion for internship. Prerequisite: Met admission requirements to undergraduate field based placement guidelines.
ED 496. Clinical Co-Teaching Semester (EL). 3 Hours.
This course provided clinical experience in a public school setting as part of field experience requirements for the undergraduate Teacher Preparation Program. The Teacher Candidate is required to spend 72 complete instructional days in an assigned classroom. A university field supervisor in conjunction with the cooperating teacher supervises the Clinical Teacher. Block 2 is the second semester of the co-teaching assignment (2 semesters) in which Teacher Candidate and Cooperating Teacher are co-teachers for the public school class. Course graded on Satisfactory (S) or Unsatisfactory (U) basis for 3 SCH. This course integrates the principals of experiential learning and meets the criterion for internship. Prerequisite: successful completion of ED 495, continued acceptance in the public school classroom, and completion of program requirements.
ITED 350. Technology and Digital Literacy. 3 Hours.
This course is designed to assist students with developing skills for using web applications and mobile computing. The activities in the course assist students with promoting critical thinking and problem-solving skills by engaging them with digital tools being used in daily life. Topics covered include: technology in society, computers and digital components, the internet- how it works and making the most of web resources , applications for work and play, and systems software- operating systems, utilities and file management, information technology ethics, understanding and assessing hardware, digital devices and media and protection, information technology careers, software programming, databases and information systems, networking and security. There is an emphasis on using the Microsoft Office Suite of Products in this course including Word, Excel, PowerPoint, and Access.
MATH 0201. Math Bridge 1. 2 Hours.
The Math Summer Bridge 1 is an option to accelerate students testing into developmental education and support success in college mathematics. This course provides a study of the concepts and applications of algebraic expressions, equations, inequalities, problem solving, polynomials and factoring, rational expressions and equations, systems of equations, graphing techniques, radical expressions and equations, and quadratic equations. Students must complete the course with a C or better to receive credit. Placement will be determined by TSI readiness indicators. This is only possible during the Bridge program.
MATH 0300. Pre-Algebra. 3 Hours.
This course provides a study of the concepts and applications of arithmetic operations on whole numbers, fractions, and decimals, ratios and proportions, percentages, measurements, interpretation of graphs and statistics, geometry, exponents, algebraic expression, and problem solving. Students must complete the course with a C or better to receive credit. Calculators will not be allowed for use in this course. Placement will be determined by TSI readiness indicators.
MATH 0301. Elementary Algebra. 3 Hours.
This course provides a study of the concepts and applications of algebraic expressions, equations, inequalities, problem solving, polynomials and factoring, rational expressions and equations, systems of equations, graphing techniques, radical expressions and equations, and quadratic equations. Students must complete the course with a C or better to receive credit. Appropriate computer software and hand held technologies will be utilized. Placement will be determined by TSI readiness indicators.
MATH 0302. Intermediate Algebra. 3 Hours.
This course provides a study of the concepts and applications of rational expressions and equations, linear equations and inequalities, radicals, quadratic equations, and graphs. This course is intended for students who place below the minimum score on an entrance assessment test in mathematics. Appropriate computer software and hand held technologies will be utilized. Students must complete the course with a C or better to receive credit. Placement will be determined by TSI readiness indicators.
MATH 1314. College Algebra. 3 Hours.
This course provides a rigorous study of the concepts and applications of linear, quadratic, higher-order polynomial, rational, radical, exponential and logarithmic functions, and solving systems of equations using various methods. Additional topics such as sequences, series, probability, and conics may be included. This course is designed to prepare STEM majors for success in calculus. Appropriate computer software and hand held technologies will be utilized. Prerequisite: Must have satisfied the math portion of TSI. Placement will also be determined by the Math Placement Exam score.
MATH 1316. Plane Trigonometry. 3 Hours.
This course provides a rigorous study of the concepts and applications of sets, ordered relations, number intervals, trigonometric functions, radian measure, variations and graphs of functions, solutions of right and general triangles, identities, graphing, inverse functions, circular functions, vectors, complex numbers, polar and parametric equations. This course is designed to further prepare STEM majors for success in calculus. Appropriate computer software and hand held technologies will be utilized. Prerequisite: Must have satisfied the math portion of TSI. Placement will also be determined by the Math Placement Exam score.
MATH 1324. Mathematics for Business and Social Sciences I. 3 Hours.
This course provides a rigorous study of the concepts from college algebra (linear equations, quadratic equations, functions and graphs, inequalities), sets, probability, mathematics of finance (simple and compound interest, annuities), linear programming, matrices, and systems of linear equations. This course is designed to prepare students majoring in business or social science. Applications will be taken from management, economics, business, and sociology. Appropriate computer software and hand held technologies will be utilized. Prerequisite: Must have satisfied the math portion of TSI.
MATH 1325. Business Calculus. 3 Hours.
This course provides a rigorous study of the concepts of limits and continuity, derivatives, graphing and optimization, exponential and logarithmic functions, antiderivatives, and integration. This course is designed to prepare students majoring in business. Applications will be taken from management, economics, and business. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 1324 or MATH 1314 with a C or better.
MATH 1332. Contemporary Mathematics I. 3 Hours.
This course provides a study of the concepts and applications of sets, logic, number systems, number theory, relations, functions, probability and statistics. Applications will be taken from meaningful real-world examples that allow students to see how mathematics can be used by everyone to solve problems, not just by mathematicians and scientists. This course is designed for non-STEM, non-business majors. Appropriate computer software and hand held technologies will be utilized. Prerequisite: Must have satisfied the math portion of TSI.
MATH 1342. Elementary Statistical Methods. 3 Hours.
This course provides a rigorous study of the concepts and applications of the collection, analysis, presentation, and interpretation of data and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Appropriate computer software and hand held technologies will be utilized. Prerequisite: Must have satisfied the math portion of the TSI.
MATH 1350. Fundamentals of Mathematics I. 3 Hours.
This course provides a rigorous study of the concepts and applications of sets, functions, numeration systems, number theory, and properties of the natural numbers, integers, rational, and real number systems with an emphasis on problem solving and critical thinking. This course is designed for students seeking EC-6 teacher certification. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 1314 with a C or better.
MATH 1351. Fundamentals of Math II. 3 Hours.
This course provides a rigorous study of the concepts and applications of geometry, probability, statistics, and measurement with an emphasis on problem solving and critical thinking. This course is designed for students seeking EC-6 teacher certification. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 1350 and MATH 1314 with a C or better.
MATH 2305. Discrete Mathematics. 3 Hours.
This course provides a rigorous study of the concepts and applications of topics designed to prepare math, computer science, and engineering majors for a background in abstraction, notation, and critical thinking for the mathematics most directly related to computer science. Topics include: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, combinatorics, discrete probability, recursion, sequence and recurrence, elementary number theory, graph theory, and mathematical proof techniques. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 2413 with a C or better or instructor permission.
MATH 2318. Linear Algebra. 3 Hours.
This course provides a rigorous study of the concepts and applications of systems of linear equations, matrices, vector spaces, determinants, eigenvectors, eigenvalues, and linear transformations. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 2414 with a C or better.
MATH 2320. Differential Equations. 3 Hours.
This course provides a rigorous study of the concepts and applications of first- and second-order ordinary differential equations and systems of ODEs, existence and uniqueness of solutions, initial value problems, the Laplace Transform, compartment models, first- and second-order rate laws, eigenvalues, eigenvectors, and eigenspaces of matrices. This course is taught with a modeling perspective and will utilize applications from areas such as physics, biology, pharmacology, chemistry, ecology, sociology, and electric engineering. Numerical, symbolic and graphing techniques will used to obtain solutions. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 2414 with a C or better.
MATH 2412. Pre-Calculus. 4 Hours.
This course provides a rigorous study of the concepts and applications of the fundamental topics of calculus including algebraic functions and their graphs, trigonometric functions and identities, polynomial, rational, exponential, and logarithmic functions, solutions to equations and inequalities, analytic geometry, and polar coordinates. This course is designed to prepare STEM majors for success in calculus. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 1314 with a C or better or the equivalent preparation by STEM department chair permission. Placement will also be determined by the Math Placement Exam score.
MATH 2413. Calculus I. 4 Hours.
This course provides a rigorous study of the concepts and applications of limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental function, with an application to calculation of areas. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 1314 and MATH 1316 with a C or better, or MATH 2412 with a C or better. Placement will also be determined by the Math Placement Exam score.
MATH 2414. Calculus II. 4 Hours.
This course provides a rigorous study of the concepts and applications of integration, trigonometric functions, sequences and series, indeterminate forms, improper integrals, and elementary differential equations. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 2413 with a C or better.
MATH 2415. Calculus III. 4 Hours.
This course provides a rigorous study of the concepts and applications of three dimensional analytic geometry and vectors, differentiation and integration of vector-valued functions and motion in space, arc length and curvature, functions of several variables, partial derivatives, multiple integrals, and integration in vector fields. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 2414 with a C or better.
MATH 289. Independent Study in Mathematics. 1-4 Hours.
This course provides an option for individualized instruction and research. It may be repeated when topics vary. Prerequisite: Instructor approval.
MATH 321. College Geometry. 3 Hours.
This course provides a rigorous study of the concepts and applications of the properties of finite geometrics and of points, lines, triangles, and circles in Euclidean geometry. Non-Euclidean geometries will also be studied and contrasted. This course will be taught with a discovery approach in which students scaffold their comprehension through careful axiomatic study. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 2413 with a C or better.
MATH 326. Problem Solving for Elementary Teachers. 3 Hours.
This course provides a study of the concepts taken from algebra, number theory, geometry, probability, statistics, measurement, and logic as they relate to the elementary school math curriculum. Prerequisite: MATH 1314 and MATH 1350 and MATH 1351 with grades of C or better.
MATH 330. Math Foundations and Applications. 3 Hours.
This course provides a rigorous study of the foundational concepts that are inherent in upper division mathematics. It is intended to provide a transition from the mechanical understanding of lower-level concepts to the abstract nature of upper-level ideas. Students are exposed to a wide range of introductory topics such as set theory, functions/relations, logic, groups, proof-writing, combinatorics, countable/uncountable sets, and elements of advanced calculus. Prerequisite: MATH 2414.
MATH 334. Introduction to Abstract Algebra. 3 Hours.
This course provides a rigorous study of the concepts and applications of the properties of the integers, permutations, groups, rings, integral domains, and fields. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 330 or MATH 2305 with a C or better.
MATH 357. Probability and Statistics using R. 3 Hours.
This course provides a rigorous study of the concepts and applications of probability, discrete and continuous distribution, estimation, and hypothesis testing using concepts from calculus. Appropriate computer software and hand held technologies will be utilized. Course is cross-listed with EE 307. Credit cannot be granted for both MATH 357 and EE 307. Prerequisite: MATH 2414 with a C or better.
MATH 358. Regression Analysis. 3 Hours.
This course provides a rigorous study of the concepts and applications of regression analysis. It introduces techniques of building models and fitting data, simple linear and multiple regression models, nonlinear regression models, and residual analysis. Appropriate computer simulation methods, software, and handheld technologies will be utilized. Prerequisite: MATH 357.
MATH 372. Cryptology I. 3 Hours.
This course provides a rigorous study of the introductory concepts and applications of crytography and various cryptosystems. A familiarity with concepts from discrete mathematics and linear algebra is assumed in the student. Topics include character ciphers, block and stream ciphers, exponentiation ciphers, public key cryptography, knapsack ciphers, and cryptographic protocols/applications. Computer software will be utilized where appropriate. Prerequisite: MATH 2305 or COSC 1321.
MATH 380. Real Analysis. 3 Hours.
Sets, relations and functions, sequences of real numbers and sequences in Rn, continuous and differentiable functions on Rn, Riemann Integral. Prerequisites: MATH 2415 or MATH 2305 with grades of C or better.
MATH 415. Applied Numerical Analysis. 3 Hours.
This course provides a rigorous study of the concepts and applications of numerical approximation methods for the solution of problems such as systems of linear equations, curve fitting, root finding, differentiation, and integration. This course will have a strong emphasis in the applications of these numerical methods and how to implement them in computer programs using algorithms. Prior experience in a programming language will be useful but not essential and as such appropriate computer software and hand-held technologies will be utilized. Prerequisite: MATH 2414 with a C or better.
MATH 430. Mathematical Modeling. 3 Hours.
This course provides a rigorous study of the concepts and applications of techniques used to model data related to real-world systems and scenarios from areas such as physics, biology, pharmacology, chemistry, ecology, sociology, astronomy, and archeology. Discrete and continuous models, theoretical and empirical models, deterministic and probability models and analytic and simulation models will be considered. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 2414 with a C or better.
MATH 431. Internship in Mathematics. 3 Hours.
The internship is a work experience that will allow the student to develop skills, gain hands-on business experience, and test career choices and options. The internship will complement and validate the student's academic training.
MATH 432. Discrete and Continuous Modeling. 3 Hours.
This course concentrates on the simulation of systems covering the basics in detail and exploring the diverse aspects, including continuous event simulation and optimization with simulation. It explores the connections between discrete and continuous modeling and applies a specific focus to fields including engineering, manufacturing, social science, environmental, transport and logistics, and healthcare. Prerequisite: MATH 430.
MATH 437. Number Theory. 3 Hours.
This course provides a rigorous study of the concepts and applications of the properties of integer representations and operations, analysis and complexity of algorithms, mathematical induction, divisibility, primes and composites, congruences and systems, the Fundamental Theorem of Arithmetic, Pythagorean triples, multiplicative functions, and cryptology. Appropriate computer software and hand held technologies will be utilized. Prerequisite: MATH 330 or MATH 2305 with a C or better.
MATH 445. Title Fourier Transform. 3 Hours.
This course provides a rigorous study of the concepts and applications of the Fourier Transform. The topics include: The Fourier transform as a tool for solving physical problems. Fourier series, the Fourier transform of continuous and discrete signals and its properties. The Dirac delta, distributions, and generalized transforms. Convolutions and correlations and applications; probability distributions, sampling theory, filters, and analysis of linear systems. The discrete Fourier transform and the Fast Fourier Transform (FFT) algorithm. Multidimensional Fourier transform and use in imaging. Further applications to optics, crystallography. Emphasis is on relating the theoretical principles to solving practical engineering and science problems. Prerequisites: MATH 2318 Linear Algebra and MATH 2320 Differential Equation.
MATH 450. Combinatorics and Graph Theory. 3 Hours.
This course provides a rigorous study in the topics of combinatorics and graph theory. Topics include principles of counting, graphs, digraphs, Eulerian and Hamiltonian graphs, connectivity, path algorithms, trees, planarity, coloring of graphs, tree searches and sortings, binomial coefficients, generating functions, recurrence relations, and networks flows, and associated algorithms. Appropriate computer software and hand-held technologies will be utilized. Prerequisite: MATH 330 or MATH 2305 with grade of C or better.
MATH 489. Individual Study. 1-3 Hours.
This course provides an option for individualized instruction and research. It may be repeated when topics vary. Prerequisite: Instructor approval.
MATH 493. Capstone in Mathematics (EL). 3 Hours.
This is the conclusion of preparation of a portfolio of mathematical experiences composed of artifacts from throughout a student‘s time in upper-level mathematics classes. Presentation of a selected portfolio artifact will be required. Students will be graded on Satisfactory (S) or Unsatisfactory (U) basis. Prerequisite: Senior standing and instructor permission.
MATH 497. Special Topics. 3 Hours.
Instructors will provide an organized class designed to cover areas of specific interest. Students may repeat the course when topics vary.
MATH 499. Independent Research. 1-6 Hours.
This is an independent research in Math conducted by a student under the guidance of a faculty member of his or her choice. The student is required to maintain a research journal and submit a project report by the end of the semester and potentially make an oral presentation on the project. SCH and hours are by arrangement and, with a change in content, this course may be repeated for credit. Prerequisite: Consent of instructor.
PHYS 1415. Physical Science I. 4 Hours.
Algebra-based physical science for students in pre-professional programs, biology, geology, or architecture who do not expect to do additional work in engineering or physics. Topics include elementary vector algebra, mechanics, heat, thermodynamics and sound.
RDG 343. Content Area Literacy Instruction for Secondary Students. 3 Hours.
This course equips content area teachers with research-based strategies and skill to incorporate reading into science, mathematics, and/or social studies. Students will utilize strategies for morphemic awareness, comprehension, vocabulary, and written expression to develop a unit of study based on the TEKS for a subject area of choice. Additionally, students will assess curriculum materials and learn about additional tools and accommodations that teachers use to bridge student reading deficits to allow learning in the content area how to help their students learn the material presented.
RDG 350. Early Literacy Development and the Science of Teaching Reading (EL). 3 Hours.
The purpose of this course is to provide EC-6 teacher candidates with the knowledge and skills necessary to provide early literacy instruction to students in Kindergarten through 2nd grade that is aligned to the Science of Teaching Reading. Students will develop competency in the components of early literacy including letter naming fluency, oral language development, spelling, and fluency. A variety of research-based strategies will be used to create lesson plans that reflect diverse and equitable practices and differentiate by student need. Prerequisite: Must be admitted to the Teacher Preparation Program.
SPED 410. Introduction to Individual with Exceptionalities. 3 Hours.
This course develops students’ foundational knowledge of historical perspectives, educational principles, laws, and professional ethics and roles in the fields of special education and English Language Learners (ELL). It focuses on the learning and behavioral characteristics of diverse learners, including students with exceptionalities (which includes disabilities, Attention Deficit Hyperactivity Disorders, Dyslexia, and Gifted/Talented) students who are ELL and students who are Culturally and Linguistically Diverse Exceptional (CLDE) learners. Additionally, this course introduces instructional strategies, appropriate curriculum, accommodations, modifications, and assistive technology to ensure the success of all learners.
SPED 418. Inclusion of Students with High Support Needs in the Content Areas. 3 Hours.
This course presents research, issues, and trends related to the inclusion of secondary students with high-level support needs into content area classes in a manner that is equity-minded and socially just. Prerequisite: Admission to the Teacher Preparation Program.
