### Mathematics

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**MATH 099 Elementary Algebra 3**

Review of fundamental algorithms of whole numbers, integers, rational numbers, and elementary algebra. Students who are required to take MATH 099 must pass this course with a C- or better before successful completion of 24 hours of regular coursework. Letter grade will affect GPA as if MATH 099 were a three credit course, but these credits may not be used to fulfill the number of credits required for graduation. This course may not be used to meet the General Education requirement nor requirements for a major, a minor, or certification in mathematics. Remedial. Fall, Spring, Summer.

100s

**MATH 101 Intermediate Algebra 3**

Prereq.: MATH 099 (C- or higher) or placement exam. Review and extension of elementary algebra. A study of functions including their algebraic properties and graphs. Quadratic equations and inequalities are solved and graphed. Graphing calculator required. No credit given to students with credit for MATH 115, 116, 119, 123, 124, 125, 135 or 152. This course may not be used to meet the General Education requirement nor requirements for a major, a minor, or certification in mathematics.

**MATH 105 Survey of Mathematics for Liberal Arts 3**

Prereq.: MATH 101 (C- or higher) or placement exam. This course is intended for those students who are not majoring in mathematics or the natural sciences. Provides students with an introduction to a broad range of topics in mathematics. No credit given to students with credit for MATH 218. May not be used to meet the requirements for a major, a minor, or certification in mathematics.CSUS Common Course. Skill Area II

**MATH 106 Mathematical Topics for Liberal Arts 3**

Prereq.: MATH 101 (C- or higher). Topics in mathematics suitable for students majoring in other disciplines and not covered in other courses. Topics may include: the mathematics of music, mathematics and the arts, game theory, cryptography, and mathematical modeling. May be repeated with different topics for a maximum of six credits. Skill Area II

**MATH 110 Finite Mathematics 3**

Prereq.: MATH 101 (C- or higher) or placement exam. Topics to include those chosen from logic, theory of sets, counting techniques, probability theory, linear equations, linear programming, matrix algebra, graph theory, and Markov chains. Emphasis placed on the construction of mathematical models and their applications. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Fall. Skill Area II

**MATH 113 Structure of Mathematics I: Number Systems 3**

Prereq.: MATH 101 (C- or higher) or placement exam; open only for students seeking elementary certification. Methods of teaching inductive reasoning, sets, numeration, number theory, integer properties and operations, rational number properties, and numeration, through a problem solving approach. Observations in elementary mathematics classrooms are required.No credit given to those with credit for MATH 313. Skill Area II

**MATH 115 Trigonometry 3**

Prereq.: MATH 101 (C- or higher) or placement exam. Study of relations, functions (special emphasis on the six trigonometric functions), inverses, and graphs. An analytic approach to trigonometry using circular functions, angular measures, identities, graphs and inverses. No credit given to students with credit for MATH 119, 124, 135, or 152. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Skill Area II

**MATH 116 Pre-Calculus Mathematics 3**

Prereq.: MATH 101 (C- or higher) or placement exam. Properties of the real numbers, relations and functions, exponential and logarithmic functions, mathematical induction, and conics. No credit given to students with credit for MATH 119, 124, 125, 135 or 152. Skill Area II

**MATH 119 Pre-Calculus with Trigonometry 4**

Prereq.: MATH 101 (B- or higher) or placement exam. Intensive preparation course for the calculus sequence. Properties of functions including polynomial, rational, periodic, exponential and logarithmic, and rate of change change. Also covers trigonometry, including the unit circle, right triangles, and analytic trigonometry. No credit given for students with credit for MATH 115, 116, 124, 135 or 152.CSUS Common Course. Skill Area II

**MATH 120 Problem Solving I 1**

Prereq.: MATH 115 (C- or higher) or MATH 119 (C- or higher) or placement exam. Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, and trigonometry. Strong emphasis placed on clarity, comprehensiveness, and correct use of mathematical terminology in student solutions. One two-hour lab per week.

**MATH 123 Applied Business Mathematics 3**

Prereq.: MATH 101 (C- or higher) or placement exam. Elements of calculus and finite mathematics with emphasis on applications to problems arising in business. Topics include polynomial and rational functions, modeling, limits, continuity, derivatives, maxima and minima of functions, matrices, systems of linear equations, linear inequalities, and linear programming. Exponential and logarithmic functions will be studied if time permits. No credit given for students with credit for MATH 124, 125, 135 or 152. Skill Area II

**MATH 124 Applied Calculus with Trigonometry 4**

Prereq.: MATH 101 (C- or higher). Polynomial, rational, exponential, logarithmic and trigonometric functions. and their application to the natural sciences. The concepts of rate of change, limit, and derivative are emphasized. Integration is introduced. No credit given to students with credit for MATH 115, 119, 125, 135, or 152. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood, or middle level, certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Skill Area II

**MATH 125 Applied Calculus 3**

Prereq.: MATH 101 (C- or higher) or placement exam. This course is for students majoring in the social, biological, behavioral, and managerial sciences. Topics include review of algebra, differentiation, and integration. Graphing calculator required. No credit given to students with credit for MATH 124, 135, or 152. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting certification requirements for secondary school mathematics. Skill Area II

**MATH 135 Applied Engineering Calculus I 3**

Prereq.: MATH 119 (C- or higher) or MATH 115 (C- or higher) and MATH 116 (C- or higher) or Math Placement Exam. This course is for students majoring in engineering technology. Topics include analytical geometry, limits, and differentiation. Exponential, logarithmic, and trigonometric functions are included. Applications to physics and engineering problems will be emphasized. No credit given to students with credit for MATH 124, 125, or 152. Skill Area II

**MATH 136 Applied Engineering Calculus II 3**

Prereq.: MATH 135 (C- or higher) or permission of instructor. Continuation of MATH 135. Topics include the integral, techniques of integration, application of integrals, and multivariate calculus. No credit given to students with credit for MATH 221. Engineering Technology students with credit for MATH 125 prior to Spring 2003 will be admitted. Skill Area II

**MATH 152 Calculus I 4**

Prereq.: MATH 115 (C- or higher) and MATH 116 (C- or higher), or MATH 119 (C- or higher). Limits and continuity, derivatives, applications of derivatives including transcendental functions. Antiderivatives, definite integrals with applications.CSUS Common Course. Skill Area II

200s

**MATH 211 Clinical Experience in Mathematics Education I 1**

Prereq.: MATH 152 and MATH 120 (C- or higher). Provides prospective teachers of mathematics with an opportunity to gain practical experience in a tutorial setting. Students are trained as tutors for level 1 CRLA (College Reading and Learning Association) certification and are assigned to work a minimum of 3 hours per week in the Learning Center primarily helping students taking MATH 099 and MATH 101.

**MATH 213 Structure of Mathematics II: Probability & Geometry 3**

Prereq.: MATH 113 (C- or higher); open only for students seeking elementary certification.Problem solving approach to deductive reasoning and logic, probability, descriptive statistics, point set, metric, analytic and transformational geometry; and properties of plane and solid figures. Observations in elementary mathematics classrooms are required. No credit given to those with credit for MATH 313. Skill Area II

**MATH 218 Discrete Mathematics 4**

Prereq.: MATH 152 with a grade of C- or higher. Topics include logic, induction, recursion, combinatorics, matrices, graph theory, set theory, and number theory.

**MATH 220 Problem Solving II 1**

Prereq.: MATH 120 and 152, both with grades of C- or higher. Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, trigonometry, and calculus. Strong emphasis placed on clarity, comprehensiveness, and correct use of mathematical terminology in student solutions. One two-hour lab per week.

**MATH 221 Calculus II 4**

Prereq.: MATH 152 (C- or higher). Further application of integration and techniques integration. Improper integrals and L'Hopital's. Infinite series including Taylor series and representation of functions. Skill Area II

**MATH 222 Calculus III 4**

Prereq.: MATH 221 (C- or higher). Continuation of MATH 221. Parametric equations, polar coordinates, two- and three-dimensional vectors, three-dimensional analytic geometry, functions of several variables, partial differentiation, double and triple integrals.

**MATH 226 Linear Algebra and Probability for Engineers 4**

Prereq.: MATH 221 (C- or higher). Introduction to the mathematics required for engineering, including basic linear algebra and topics in probability and statistics. Emphasis on applications. Fall.

**MATH 228 Introduction to Linear Algebra 4**

Prereq.: MATH 152 and MATH 218 both with grades of C- or higher. Vector spaces, systems of linear equations, determinants, linear transformations, and matrices are considered. CSUS Common Course.

300s

**MATH 300 Mathematics Internship 3**

Prereq.: Permission of the department and a 3.00 GPA in mathematics. Designed to provide students an opportunity to work in a business environment directly related to their major or specialization. Each student will apply his/her classroom knowledge in mathematics, actuarial science, operations research, and/or statistics in an appropriate business setting. Graded on pass-fail basis only.

**MATH 305 Structure of Mathematics III: Number Patterns 3**

Prereq.: MATH 213 and either MATH 115, MATH 116 (formerly MATH 121) or MATH 119 (all with C- or higher); only open for students seeking elementary certification. Exploratory approach to number patterns and functions. Topics include prime and composite numbers, perfect numbers, Fibonacci numbers, figurative numbers, Pythagorean triples, and sequences. Calculators will be used.

**MATH 306 Structure of Mathematics IV: Development of Geometric Ideas 3**

Prereq.: MATH 213 and either MATH 115, MATH 116 (formerly MATH 121) or MATH 119 (all with C- or higher); open onlyfor students seeking elementary certification. Exploration of geometric concepts via hands-on activities and computer software. Topics include congruence, similarity, transformations, tessellations, and fractals.

**MATH 307 Topics in Elementary Mathematics 1 TO 3**

Prereq.: Permission of instructor. Selected elementary topics in mathematics covering specialized areas not offered in the regular curriculum. May be repeated with different topics for a maximum of 3 credits. Can be used to meet requirements of a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification Not recommended for use in meeting certification requirements for secondary school mathematics. Irregular.

**MATH 311 Clinical Experience in Mathematics Education II 1**

Prereq.: MATH 211 (B- or higher). Tutors are trained at level 2 (CLRA certification) and assigned to tutor in a middle school or high school setting.

**MATH 313 Number Systems from an Advanced Viewpoint 3**

Prereq.: MATH 218 (C- or higher) and MATH 221 (C- or higher). Examination of the content of elementary school mathematics from the point of view of teachers of secondary mathematics. Taken concurrently with either MATH 327 or 328. Spring.

**MATH 320 Problem Solving III 1**

Prereq.: MATH 220 (C- or higher) and 228 (C- or higher). Polya's four-step approach to problem solving applied to non-routine problems in algebra, geometry, trigonometry, calculus, discrete mathematics, and linear algebra. Strong emphasis placed on clarity, comprehensiveness, and correct use of mathematical terminology in student solutions. One two-hour lab per week.

**MATH 327 Curriculum & Technology in Secondary Mathematics I 3**

Prereq.: MATH 218 (C- or higher) or MATH 221 (C- or higher). Intended for students seeking certification to teach mathematics at the secondary level. Examination of the content of the mathematics curriculum in grades 7-12, with emphasis on the development of algebraic thinking across grade levels, probability and statistics, and the use of explorations, Geometer's Sketchpad, andgraphing calculators. Graphing calculator required. Spring.

**MATH 328 Curriculum & Technology in Secondary Mathematics II 3**

Prereq.: MATH 218 (C- or higher) or MATH 221 (C- or higher). Intended for students seeking certification to teach mathematics at the secondary level. Examination of the content of the mathematics curriculum in grades 7-12, with emphasis on the teaching of geometry, and discrete mathematics, including the use of geometric drawing programs, and the internet. Geometer's Sketchpad and graphing calculator required. Fall.

**MATH 344 Mathematics in Diverse Cultures 3**

Prereq.: MATH 152 or MATH 125 or MATH 305 all with grades of C- or higher. Mathematical systems of different cultures around the world and their contributions to the development of mathematics. Recent trends in ethnomathematics research and ideas on multiculturing the mathematics classroom will also be discussed. Spring. (E) [I]

**MATH 355 Introduction to Differential Equations with Applications 4**

Prereq.: MATH 221 and either MATH 226 or MATH 228 (C- or higher). Introduction to analytical, geometric, and numerical methods for solving ordinary differential equations. Basic models of physical systems using ordinary differential equations. Introduction to software used for solving ordinary differential equations. Spring.

**MATH 366 Introduction to Abstract Algebra 4**

Prereq.: MATH 218 (C- or higher). Certain fundamental structures such as groups, rings, integral domains, and fields are considered.

**MATH 377 Introduction to Real Analysis 4**

Prereq.: MATH 221 (with grade of C- or higher). In-depth introduction to the theory of functions, including integration, differentiation, and series.

**MATH 383 College Geometry 3**

Prereq.: MATH 328 or 366 or 377 (all with C- or higher). Historical overview of the development of geometry since the time of Euclid. In-depth study of selected topics from Euclidean geometry and the role of axiomatics. Also covers material from at least one of the following non-Euclidean geometries; finite, projective, spherical, and hyperbolic. Spring.

**MATH 398 Independent Study in Mathematics 1 TO 3**

Prereq.: MATH 228 or 366, and a 3.00 G.P.A. in mathematics and permission of instructor. Special independent work to meet individual interest in areas not covered by the regular curriculum. Work will be under the supervision of a faculty member and in an area and for an amount of credit agreed upon prior to registration for the course. On demand.

400s

400-LEVEL CLASSES ARE FOR UNDERGRADUATE CREDIT ONLY, EXCEPT WHERE NOTED WITH "[GR]"

**MATH 400 Introduction to Mathematica 4**

Prereq.: MATH 221 and either MATH 228 or MATH 226 (C- or higher). Introduction to symbolic computation package Mathematica. Emphasis on applications and independent research. Fall.

**MATH 409 Mathematics through Computers 3**

Prereq.: MATH 305 or 306; MATH 116, or MATH 119 (all with C- or higher).Exploration of computer software, such as Geometer's Sketchpad, Logo, and Excel, and the use ofInternet sources to promote better understanding of mathematical concepts and algorithms. Restricted to students seeking certification.

**MATH 411 Clinical Experience in Mathematics Education III 1**

Prereq.: MATH 211 (B- or higher) and MATH 221 (C- or higher). Tutors are assigned to work in the Learning Center and may tutor students in courses up through MATH 152. Students who have not had Level 2 CLRA certification training receive the same training as students taking MATH 311.

**MATH 412 Elementary Mathematical Methods 3**

Prereq.: MATH 213 (C- or higher); open only for students seeking elementary certification. Concepts underlying contemporary mathematics curriculum for elementary grades. Appropriate methods for developing concepts, through problem solving, including the meaning of operations and procedures in arithmetic. This course is for teacher certification only and graduate credit will not be granted. CT law requires findgerprinting and a criminal background check for the filed experiences in this class. Fingerprinting must be completed prior to the beginning of class.

**MATH 413 Teaching Mathematics in the Secondary School 4**

Prereq.: MATH 327 and admission to the Professional Program in Secondary Teacher Education. Topics include planning for instruction, classroom management, promoting effective discourse, methods to address the needs of a diverse student population, and methods of assessment. Field experience required. Taken concurrently with EDSC 425. CT law requires findgerprinting and a criminal background check for the filed experiences in this class. Fingerprinting must be completed prior to the beginning of class.

**MATH 421 History of Mathematics 3**

Prereq.: MATH 221 or for graduate students, admission to M.A., Mathematics or the M.S., Mathematics (for certified secondary teachers). Development of mathematics is traced from arithmetic of commerce, astronomy, geometry, and trigonometry in Babylonia, Egypt, Greece, and Rome to the later accomplishments in algebra, geometry, and calculus. Spring. (O) [GR]

**MATH 426 Student Teaching Seminar 1**

Prereq.: MATH 413. Examination of problems which arise in secondary mathematics instruction. Taken concurrently with EDSC 435.

**MATH 440 Selected Topics in Mathematics 1 TO 3**

Prereq.: Permission of instructor. Selected topics in mathematics covering specialized areas not covered in regular offerings or that go beyond that provided for in the standard curriculum. May be repeated with different topics for a maximum of 6 credits. Irregular. [GR]

**MATH 449 Mathematics Laboratory for Elementary School 3**

Prereq.: MATH 412, 414 or 327 or equivalent and student teaching. Provides teachers in elementary school with the opportunity to make mathematical materials useful in teaching elementary mathematics. Each participant constructs mathematical models and manipulatives appropriate to his/her teaching level and interest. Mathematical projects and educational implications are discussed. Can be used to meet the requirements for a major or minor in mathematics only for students seeking elementary, early childhood or middle level certification. Not recommended for use in meeting requirements for secondary school mathematics. Summer. [GR]

**MATH 450 Seminar in Proof 4**

Prereq.: MATH 366 and 377 (both with grades of C- or higher), one of which may be taken concurrently. Students will study a number of important theorems in mathematics, examining the proofs of these theorems in depth. Each student will make a presentation to the class before the end of the semester. Topics will vary based on student and instructor interest. This is a capstone course for the BA major. Class is limited to 15 students. Spring.

**MATH 455 Introduction to Partial Differential Equations with Applications 4**

Prereq.: MATH 355 (C- or higher) or permission of department chair. Introduction to analytical, geometric, and numerical methods for solving partial differential equations. Basic models of physical systems using partial differential equations. Introduction to software used for solving partial differential equations. Fall. (O) [GR]

**MATH 465 Introduction to Fractal Geometry and Chaos 3**

Prereq.: MATH 218 or 221 (both with C- or higher), or master's degree program. Topics will include self similarity, fractal dimension, iterated function systems, Mandelbrot and Julia sets, complex iteration, cellular automata, and dynamical systems. Much of the work will involve using software to draw and investigate fractal images and chaos. Spring. (E)

**MATH 468 Symbolic Logic 3**

Prereq.: MATH 366 or equivalent. Introduction to truth, validity and argument. Methods of deduction, propositional functions and quantifiers, logic of relations, deductive systems, and propositional calculus. Spring. (E) [GR]

**MATH 469 Number Theory 3**

Prereq.: MATH 366 or equivalent. Elementary theory of numbers. Divisibility, prime numbers, Fundamental Theorem of Arithmetic, congruences, Diophantine equations, quadratic residues and continued fractions are among topics considered. Fall. (O) [GR]

**MATH 470 Mathematical Methods in Operations Research 3**

Prereq.: STAT 215 or 315, and MATH 110 or 228 or permission of instructor. Selected topics chosen from the areas of linear programming, decision analysis, and network analysis. Summer. (E) [GR]

**MATH 477 Numerical Analysis 3**

Prereq.: MATH 221 and CS 151 or permission of instructor. Selected topics including difference operators, iterative methods of finding zeros of functions, interpolation and polynomial approximation, numerical integration and differentiation, matrices, and systems of linear equations. No credit given to students with credit for CS 254. Summer. (O) [GR]

**MATH 491 Advanced Calculus 3**

Prereq.: MATH 222 or permission of instructor. Topics from continuity and differentiability of functions of several variables, exterior differential forms, multiple and iterated integration, line integrals, Gauss', Green's, and Stokes' theorems. Fall. (E) [GR]

500s

**MATH 500 Mathematics Practicum ****3**

Prereq.: Admission to the M.A. program in mathematics and permission of the department. Supervised application of academic knowledge to an employment environment related to their field of study. On demand.

**MATH 504 Topics in Mathematics 1 TO 3**

Prereq.: Permission of instructor. Topics in mathematics appropriate for in-service and pre-service graduate certification students who are not covered in regular course offerings. May be repeated under different topics for a maximum of 6 credits. Irregular.

**MATH 506 Teaching Number Concepts in the Elementary Grades 3**

Prereq.: Admission to M.S. in mathematics for certified elementary teachers. NCTM Standards-based instructional practices that promote the development of number sense; operations with whole numbers, decimal numbers and common fractions; problem solving; and graphical representations in the elementary grades. Fall. (O)

**MATH 507 Teaching Geometry & Measurement in the Elementary Grades 3**

Prereq.: Admission to M.S. in Mathematics for certified elementary teachers. NCTM Standards-based instructional practices that promote understanding of key concepts in geometry and measurement in the elementary grades. Fall. (E)

**MATH 508 Teaching Probability & Statistics in the Elementary Grades 3**

Prereq.: Admission to M.S. in Mathematics for certified elementary teachers. NCTM Standards-based instructional practices that promote understanding of key concepts in probability and statistics in the elementary grades. Spring. (O)

**MATH 509 Teaching Algebraic Thinking in the Elementary Grades 3**

Prereq.: Admission to M.S. in Mathematics for certified elementary teachers. NCTM Standards-based instructional practices that promote algebraic thinking in the elementary grades. Spring. (E)

**MATH 515 Abstract Algebra I 3**

Prereq.: MATH 366 or permission of instructor. Extension of basic group theory introduced in MATH 366, including normal subgroups, quotient groups, cyclic groups, permutation groups, classical isomorphism theorems, and Sylow theorems. Fall. (E)

**MATH 516 Abstract Algebra II 3**

Prereq.: MATH 515. Selected topics from advanced polynomial ring theory, Galois and extension field theory, homological algebra. Spring. (E)

**MATH 519 Principles of Real Analysis I 3**

Prereq.: MATH 377 or permission of instructor. Introduction to functions of a real variable and their properties. Rigorous study of the real number system, topological properties of real line, Cauchy sequences, limit and continuity properties of a real variable, metric spaces. Fall. (O)

**MATH 520 Principles of Real Analysis II 3**

Prereq.: MATH 519. Topics include Riemann-Stieltjes integrals, functions of bounded variation, sequences and series of real numbers, power series. Spring. (O)

**MATH 523 General Topology 3**

Prereq.: MATH 377 or permission of instructor. Rigorous study of point-set topology. Topics include set theory, definition and basic properties of topological spaces, continuous functions, and homeomorphisms. Spring. (O)

**MATH 525 Higher Geometry 3**

Prereq.: MATH 221 or permission of instructor. Topics from higher-dimensional geometry. Foundations of several geometries and relationship of Euclidean geometry to other geometries. Projective properties in a Euclidean (metric) setting. Selected topics from synthetic and analytic projective geometry. Fall.

**MATH 526 Complex Variables 3**

Prereq.: MATH 222 or permission of instructor. An introduction to the theory of functions of a complex variable. Topics include the field of complex numbers, complex analytic functions, elementary functions and their mapping properties, integration theory, and power series expansion of analytic functions. Spring. (E)

**MATH 531 Basic Concepts of Elementary School Mathematics 3**

Analysis of concepts underlying contemporary mathematics program in elementary school. Emphasis is placed on both structure of mathematical content and procedures used in developing pupil understanding of concepts and processes. Open only to post-baccalaureate certification students. Fall.

**MATH 534 Techniques in Diagnosis and Remediation for the Teaching of Mathematics - K-12 3**

Prereq.: Admission to M.S. in Mathematics for certified elementary or certified secondary teachers. This course will train early childhood, elementary, middle and secondary teachers in diagnosis and remediation. The course will use a clinical case study approach so that each student will get practical, as well as theoretical experience. Topics include identifying the factors related to learning difficulties in mathematics in the cognitive and affective domains, diagnostic tests, identification of the underachiever, and case studies. Spring.

**MATH 536 Teaching Number Concepts in the Middle Grades 3**

Prereq.: Admission to M.S. in Mathematics for Certified Elementary School Teachers. NCTM Standards-based instructional practices that promote the development of number sense; operations with whole numbers, rational numbers, integers; problem solving; and graphical representations in the middle grades. Fall. (O)

**MATH 537 Teaching Geometry & Measurement in the Middle Grades 3**

Prereq.: Admission to M.S. Mathematics for certified elementary teachers. NCTM Standards-based instructional practices that promote understanding of key concepts in geometry and measurement in the middle grades. Fall. (E)

**MATH 538 Teaching Probability & Statistics in the Middle Grades 3**

Prereq.: Admission to M.S. in mathematics for certified elementary teachers. NCTM Standards-based instructional practices that promote understanding of key concepts in probability and statistics in the middle grades. Spring. (O)

**MATH 539 Teaching Algebraic Thinking in the Middle Grades 3**

Prereq.: Admission to M.S. in mathematics for elementary teachers. NCTM Standards-based instructional practices that promote algebraic thinking in the middle grades. Spring. (E)

**MATH 540 Curriculum Problems in School Mathematics 3**

Prereq.: Admission to M.S. in Mathematics for certified elementary or certified secondary teachers. Current issues in mathematics education. Study of some current major curriculum projects. Content basic to these programs is studied with emphasis on mathematical structure. Opportunity is provided for special investigation into topics of student's interest. Spring. (O)

**MATH 543 Secondary School Algebra with Technology from Advanced Viewpoint 3**

Prereq.: Admission to graduate certification program in mathematics or M.S. in Mathematics for certified secondary teachers. Intended for in-service secondary school teachers and pre-service graduate certification students. Major objective is to broaden and deepen teacher's knowledge of the algebra topics encountered in secondary schools with particular emphasis on topics new to the curriculum and the uses of technology in teaching them. Opportunities will be provided to discuss the NCTM standards and their implications for teachers. Summer. (E)

**MATH 544 Secondary School Geometry with Technology from an Advanced Viewpoint 3**

Prereq.: Admission to graduate certification program in mathematics or M.S. in Mathematics for certified secondary teachers. For in-service mathematics teachers and graduate certification students in mathematics. Major objective is to expand teachers' knowledge of new topics and technology for teaching geometry. NCTM standards for geometry will be included. Summer. (O)

**MATH 547 Reflective Practice in Teaching Mathematics 3**

Designed to help in-service teachers develop as reflective practitioners through the use of lesson logs, narrative commentary, analysis of videotaped lessons, and examination of student work. Emphasis on relating instruction to the big ideas of mathematics, designing appropriate assessments, and determining meaningful feedback for students. Particularly helpful to beginning teachers who will be compiling their BEST portfolios. Open only to certified in-service teachers of mathematics, grades 7-12. Fall.

**MATH 580 Directed Study in Mathematics 1 TO 3**

Prereq.: Permission of the instructor. A study of selected topics in mathematics. The area of study will depend on the instructor and the interests and needs of the student(s). May be repeated with different topics to a maximum of 6 credits. Irregular.

**MATH 590 Special Project in Mathematics 3**

Prereq.: Completion of at least 21 credits in the student's planned program of graduate study and a 3.00 overall GPA. The study of an advanced topic in mathematics/mathematics education, approved by the student's graduate advisor and supervised by a faculty member. Requirements include preparation and oral presentation of a paper on the topic. Irregular.

**MATH 598 Research in Mathematics Education 3**

Prereq.: STAT 453 and permission of advisor. Course designed to familiarize graduate student with techniques and resources associated with research in mathematics and mathematics education. Opportunity for practical application will be provided. Fall.

**MATH 599 Thesis (Plan A) 3 OR 6**

Prereq.: Permission of the advisor, and a 3.00 overall GPA. Preparation of thesis under guidance of thesis advisor for students completing master's requirements under M.S. and M.A. Plan A.

600s

**MATH 611 Mathematics Curriculum K-8 Theory and Implementation 3**

Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership. Examination of key questions of what mathematics should be taught in grades K-8. Mathematical foundations of exemplary elementary and middle schools curricula will be studied along with strategies to insure the development of students' deep and connected mathematical understanding. Fall (O).

**MATH 612 Mathematics Curriculum 7-14 Theory and Implementation 3**

Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership. Examination of key questions of what mathematics high school graduates should know and be able to apply in light of foundations laid in the middle grades and needs of post-secondary education and the work force. Exemplary secondary school curricula will be studied. Spring (O)

**MATH 613 Research on the Learning of Mathematics 3**

Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership and STAT 453 or permission of department chair. Exploration of theorists' perspectives on learning. Analysis of researchers' conceptual frameworks and methodology. Issues include learning of algorithms, building conceptual understanding, the use of concrete materials, and the role of group work, reflection, writing, discovery, dialogue, and listening. Fall (E)

**MATH 614 Research on the Teaching of Mathematics 3**

Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership and STAT 453 or permission of department chair. Designed to acquaint educators with research on effective mathematics teaching practices. This course will focus on areas of research most useful in advancing classroom practices. All students will develop a research proposal. Spring (E)

**MATH 615 The Cultural Context of Mathematics Education 3**

Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership. Explores the many aspects of cultural connections with mathematics. Topics may include the history of mathematics, comparative international studies and an introduction to ethnomathematics. Summer (E)

**MATH 616 Assessment in Mathematics Education 3**

Prereq.: Admission to Sixth-Year Program in Mathematics Education Leadership. Use of varied assessments that probe students' mathematical understanding, provide effective feedback, improve questioning techniques, and use results to make instructional decisions will be explored. The entire range of assessments from those designed by the classroom teacher to state-mandated assessments will be considered. Summer (O)

**MATH 622 Internship in Mathematics Education Leadership 3**

Prereq.: Completion of 24 credits in Sixth-Year Program in Mathematics Education. Supervised internship concerning leadership in promoting effective teaching and learning in mathematics. Students initiate and complete an action plan and professional portfolio. On Demand.