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Linguistics Courses are designated as LING in the class schedule.
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LING 106 - Language and Linguistics (3)
Nature of language, its origin and development; language in culture, the structure of language and its systems of writing and transcription, and its application to other areas of humanistic and scientific knowledge.
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LING 108 - Linguistics and Minority Dialects (3)
Sounds, meanings and vocabulary of African-American, Chicano and other English dialects and their historical origin. (AFAM 108 , CHIC 108 and LING108 are the same course.)
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LING 206 - Introduction to Language Structure and Language Use (3)
Introduction to the nature, structure, development and use of English. How sounds are articulated and patterned in meaningful units (phonology); symbolic correspondence (phonics); rules of work formation (morphology); word history (etymology); and language use (pragmatics). One or more sections may be offered in any online format. (ENGL 206 and LING 206 are the same course.)
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LING 301 - Sanskrit (3)
Introduction to the Devanagari script, as well as the phonology, morphology and syntax of the Sanskrit language. A reading knowledge of Sanskrit will be the main goal of the course. (RLST 301 and LING 301 are the same course.)
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LING 305 - The English Language in America (3)
American English, its origins, regional and social dialects and role in American history and in such institutions as schools, corporations, government and media. Requirement for application to English Teaching Credential. (ENGL 305 and LING 305 are the same course.)
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LING 307 - Speech/Language Development (3)
Normal acquisition of phonology, morphology, semantics, syntax and pragmatics in children. Biological, cognitive and social bases of language acquisition. Meets the requirements for specialized preparation to serve as a teacher of exceptional children. (HCOM 307 and LING 307 are the same course.)
Prerequisite: ENGL 101 .
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LING 351 - Introduction to Linguistic Phonetics and Phonology (3)
Nature and structure of sound systems in language. Thorough investigation of the International Phonetic Alphabet as applied to many different languages including English. Language Acquisition (L1) and Language Learning (L2); analytic methods and techniques.
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LING 360 - Nonverbal Communication (3)
Physical actions, gestures and changes in the physiognomy that occur together with language and paralanguage in human communication; substitutions for language and modifications of it in varying cultures. (HCOM 360 and LING 360 are the same course.)
Prerequisite: LING 106 or HCOM 100 .
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LING 375 - Meaning and Mind (3)
Philosophical issues about language and mind, including topics such as meaning, reference, truth, speech act and belief. (LING 375 and PHIL 375 are the same course).
Prerequisite: six units of philosophy or six units of linguistics or three units of each.
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LING 406 - Descriptive Linguistics (3)
Sounds (phonology), forms and meanings (morphology), and syntax of languages. Examples and problem-solving in various languages. (ANTH 406 and LING 406 are the same course.)
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LING 408 - Syntax (3)
Sentence structure in human language. Practice in syntactic analysis in a variety of languages.
Prerequisite: LING 106 , LING 406 or ENGL 303 .
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LING 412 - Sociolinguistics (3)
Social dialects in relation to the surrounding communities. Social stratification, acculturation, language maintenance, standardization, language planning and language change.
Prerequisite: LING 406 or equivalent.
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LING 413 - Child Language (3)
Child language acquisition from birth to adult proficiency; stages and variation in child language; comparison of first- and second-language acquisition; current theories of language acquisition.
Prerequisite: LING 406 or ENGL 303 .
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LING 416 - Anthropological Linguistics (3)
Nature and functions of language; language structure and change; classification of languages; use of linguistic evidence in anthropology. (ANTH 416 and LING 416 are the same course.)
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LING 417 - Psycholinguistics (3)
Theory and research on the psychological processes that make possible language acquisition and written language; speech production; and language acquisition.(LING 417 and PSYC 417 are the same course.)
Prerequisite: six hours of upper-division work in psychology or linguistics.
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LING 430 - Historical Linguistics (3)
Comparative method in diachronic linguistic methodology and theory, graphemics, glottochronology, language families, dialect geography and internal reconstruction. Fulfills the upper-division baccalaureate writing requirement for linguistics majors. One or more sections may be offered in any online format.
Prerequisite: LING 406 .
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LING 442 - Changing Words: History, Semantics, and Translation (3)
Etymology, related problems of lexicography and translation. Recent developments in theory of semantic change as related to cultural shifts. Emphasizes words, collocations, idioms. (ENGL 442 and LING 442 are the same course.)
Prerequisite: LING 351 or LING 430 .
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LING 469 - Language, Sex Roles, and the Brain (3)
How gender socialization is reflected in the structure and use of language and whether gender differences in language are biologically based or a consequence of sex roles.
Prerequisites: LING 106 , LING 206 or LING 406 .
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LING 492 - Linguistic Fieldwork (3)
Methodology and practice of linguistic analysis and language description as practiced in the field. Data collection and processing of a non-Indo-European linguistic structure using native informants. May be repeated for a maximum of 6 units.
Prerequisite: LING 351 or LING 406 .
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LING 499 - Independent Study (1-3)
Supervised projects with consent of program coordinator. Topic varies with the student. May be repeated for a maximum of 6 units.
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LING 501 - Research Methods and Bibliography (3)
Principal books, periodicals and collections in general linguistics, specific languages and related fields; techniques of preparing research papers and field reports in linguistics. Must be taken prior to LING 597.
Prerequisites: graduate standing, LING 406 .
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LING 505 - Phonological Analysis (3)
Prerequisites: LING 351 and 406. Phonological systems that occur in languages; emphasizes terminology used to describe changes in the system and processes affecting it; problem solving of selected language date. (ANTH 505 and LING 505 are the same course.)
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LING 507 - Grammatical Analysis (3)
Word formation in a variety of languages with emphasis on the terminology used to describe morphological representation on various levels; problem solving of selected language data. (ANTH 507 and LING 507 are the same course.)
Prerequisite: LING 406 .
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LING 508 - Theories of Syntax (3)
Contemporary theories of grammar, such as transformational-generative, with emphasis on theoretical problems in the analysis of language structure.
Prerequisite: LING 408 .
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LING 530 - Graduate Seminar: Historical Linguistics (3)
History of language, including principles and techniques for the historical study and classification of individual languages and language families, writing systems, lexicostatistical methods and linguistic geography.
Prerequisite: LING 430 .
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LING 597 - Project (3)
Preparation and completion of an approved project
Prerequisite: LING 501 .
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LING 599 - Independent Graduate Research (1-3)
May be taken for credit for a maximum of six units.
Prerequisites: graduate standing and consent of program coordinator.
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Literacy and Reading Courses are designated as READ in the class schedule.
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READ 201 - New Literacies for Academic Success (3)
Analyze reading and learning processes, reading interpretation and critical thinking strategies as applied to all types of academic reading; integration and synthesis of academic information.
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READ 201A - New Literacies for Academic Success (1)
Applying literacy and learning strategies to discipline-specific coursework. Co-curricular opportunities.
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READ 202 - Vocabulary for Academic and Professional Success (3)
General and academic vocabularies and their influence on reading comprehension and communication. Language knowledge and the development of contextual analysis and word association processes in reading comprehension.
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READ 290 - Critical Reading, Thinking and Literacy (3)
Relationship of critical reading to critical thinking. Develop critical thinking skills with application in interpretation, analysis, criticism and advocacy of ideas encountered in academic readings. One or more sections may be offered in any online format.
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READ 340 - Promoting Early Language and Literacy Development in Diverse Children (3)
Theories of language development. Function of receptive and expressive language development related to developing literacy. Relevance of family literacy as young children begin to read. Choosing appropriate books to foster language and literacy development. Theories of early childhood classroom instruction. One or more sections may be offered in any online format.
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READ 360 - Literacy Education for Social Change (3)
Guides students through theories of critical and de-colonial literacies, alongside exploration and practice in qualitative inquiry, in order to deeply reflect on meaningful educational and social change in schools and societies. Fieldwork component.
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READ 390 - Critical Literacies, Advocacy and Community Involvement (3)
Exploring and applying intellectual habits and dispositions across dimensions of literacy. Evaluate and create information to facilitate collaborative solutions for fostering change in the community. Culminating project advocating for local change and action with global implication. One or more sections may be offered in any online format.
Prerequisite: completion of G.E. Category A.3.
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READ 505 - Foundations of Postsecondary Reading and Learning (3)
Theoretical framework and background of field, including historical perspective, student/adult development, reading and learning theory/academic literacy, programmatic structures and components, curriculum design and contemporary issues. One or more sections may be offered in any online format.
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READ 507 - Literacy in the Academic Disciplines (3)
Teaching reading and thinking in the subject area disciplines, including instructional methodology, assessment, materials and program design. One or more sections may be offered in any online format.
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READ 508 - Foundations of Literacy: Teaching and Learning (3)
Current trends in teaching elementary reading/language arts. Role of the teacher as a decision-maker in the elementary reading/language arts program. One or more sections may be offered in any online format.
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READ 511 - Research in Reading and Literacy Education (3)
Introduction to historical and current trends in research in reading, including principles of educational research methods, in order to read and evaluate research in Reading Education, and to develop research questions, apply principles of data collection and write research reports. One or more sections may be offered in any online format.
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READ 514 - Linguistics and Literacy Education (3)
Linguistics and its influence on reading materials and instruction. Trends in linguistics as they relate to teaching reading. One or more sections may be offered in any online format.
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READ 516 - Literacy Assessment and Analysis for Instruction (3)
Various assessment devices and trial teaching practices essential for precise intervention in reading/language arts. Analyze a reader, with attention to influences of linguistic, social, cultural, physical, psychological, intellectual and educational factors on learning to read and reading to learn. One or more sections may be offered in any online format.
Prerequisites: READ 507 or READ 508 .
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READ 536 - Literacy Curriculum: Design, Implementation and Evaluation (3)
Develop, organize, implement and evaluate appropriate reading/language arts curriculum using instructional goals for students in pre-K through post-secondary classrooms. Curriculum foundations, research, current issues, design and practice in the area of reading/language arts. One or more sections may be offered in any online format.
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READ 560 - The Sociocultural Context of Language and Literacy for English Learners (3)
Theory and research in teaching reading/language arts to students with diverse cultural, racial, linguistic and socio-economic backgrounds. Methods and approaches for teaching literacy skills. Emphasize second language learners. Requires case study. One or more sections may be offered in any online format.
Prerequisite: READ 511 .
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READ 581 - Strategic Interventions for Literacy Specialists: Practicum (5)
Analyze and diagnose reading/language arts difficulties. Techniques and methods of prevention and treatment. Individual remediation of student. Primary through secondary. One or more sections may be offered in any online format.
Prerequisites: READ 507 , READ 508 , READ 514 , READ 516 .
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READ 585 - Roles of the Literacy Leader/Specialist (3)
Developing and evaluating reading/language arts programs. Training in staff development and interpersonal relations with teachers, parents, consultants and administrators. Writing for publication, grant proposals and other professional responsibilities. One or more sections may be offered in any online format.
Prerequisite: READ 507 , READ 508 , READ 514 , READ 516 .
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READ 587 - Program Management in Postsecondary Reading and Learning (3)
Multifaceted components related to administering, managing and supervising a post-secondary reading and learning program; current issues and trends in program management. One or more sections may be offered in any online format.
Prerequisites: READ 505 , READ 507 , READ 516 .
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READ 595 - Advanced Studies (1)
Synthesize and evaluate knowledge in such areas as behavior, teaching strategies, educational technology, program development, communication theory and interpersonal relations related to reading/language arts, and apply these understandings to authentic professional challenges. May be repeated once for credit. One or more sections may be offered in any online format.
Prerequisite: READ 516 .
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READ 597 - Project (1-3)
Individual research on an empirical project, with conferences with the instructor, culminating in a project. May be repeated for a maximum of 3 units. One or more sections may be offered in any online format.
Prerequisite: consent of instructor or graduate adviser.
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READ 598 - Thesis (1-3)
Individual research with conferences with the instructor, culminating in a thesis. May be repeated for a maximum of 3 units.
Prerequisite: consent of instructor or graduate adviser.
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READ 599 - Independent Graduate Research (1-3)
Independent inquiry for qualified graduate students. May be repeated for a maximum of 3 units.
Prerequisite: consent of instructor or graduate adviser.
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Mathematics Courses are designated as MATH in the class schedule.
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MATH 30A - Intermediate Algebra-ILE (3)
For students who have taken but not passed the ELM exam. Equations and inequalities, algebraic expressions, functions, including polynomial functions. Degree credit is not awarded for these courses. Successful completion of MATH 30A and MATH 30B satisfied the ELM requirement. (MATH 30A and ESM 30A are the same course.)
Prerequisite: A score of 30 or below on the ELM exam.
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MATH 30B - Intermediate Algebra-ILE (3)
For students who have taken but not passed the ELM exam. A continuation of MATH 30A. Factoring, rational expressions and equations, exponents, radicals, quadratic functions and their graphs, logarithmic functions.
Prerequisite: MATH 30A .
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MATH 40 - Intermediate Algebra (3)
An intermediate algebra course designed specifically for students who have taken but not passed the ELM exam. Linear equations and inequalities, polynomial, rational and radical expressions, quadratic functions, exponential and logarithmic functions and sequences and series. Degree credit is not awarded for this course. Successful completion satisfies the ELM requirement. One or more sections may be offered in any online format. (MATH 40 and ESM 40 are the same course.)
Prerequisite: a score of 32-48 on the ELM exam.
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MATH 45 - Intermediate Algebra Minicourse (1)
An intermediate algebra course designed specifically for students who have taken but not passed the ELM exam. Linear equations, polynomials, rational expressions, radical expressions, quadratic formulas, exponential functions and logarithmic functions. Degree credit is not awarded for this course. Successful completion satisfies the ELM requirement. One or more sections may be offered in any online format. (MATH 45 and ESM 45 are the same course.)
Prerequisite: a score between 36 and 48 on the ELM exam.
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MATH 110 - Mathematics for Liberal Arts Students (3)
Survey of traditional and contemporary topics in mathematics, such as elementary logic, counting techniques, probability, statistics, and the mathematics of the social sciences. For non-science majors.
Prerequisites: passing score on the ELM or exemption and three years of high school mathematics, including two years of algebra and one year of geometry.
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MATH 115 - College Algebra (4)
For students planning to take MATH 130 or MATH 135 . Equations, inequalities, and systems of equations. Properties of functions and their graphs, including polynomial functions, rational functions, exponential and logarithmic functions, with applications. Sequences and series. If both MATH 115 and MATH 125 are taken and the student receives a C or better in both courses, then the second course is the course that receives credit. If the student only succeeds in one of the two courses, then credit is given for the course successfully completed. One or more sections may be offered in any online format.
Prerequisites: passing score on the ELM or exemption and three years of high school mathematics, including two years of algebra and one year of geometry.
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MATH 115W - College Algebra Workshop (1)
Supplementary problem-solving workshop in a collegial setting. May be repeated once for credit.
Corequisite: MATH 115 and consent of instructor.
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MATH 116 - Trigonometry (2)
Properties of the trigonometric functions and their use in mathematical models. Use of identities in solving trigonometric equations.
Prerequisite: MATH 115 .
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MATH 120 - Introduction to Probability and Statistics (3)
Set algebra, finite probability models, sampling, binomial trials, conditional probability and expectation. Recommended for students of economics, business, and biological, geological and social sciences.
Prerequisites: passing score on the ELM or exemption, and three years of high school mathematics, including two years of algebra and one year of geometry.
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MATH 125 - Precalculus (5)
For students planning to take MATH 150A . Functions and their use in mathematical models, including linear functions, polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. If a student takes MATH 115 and MATH 125 and earns a C or better in both courses, the second course receives credit. If the student earns a C or better in one of the two courses, credit is given for the course successfully completed. One or more sections may be offered in any online format.
Prerequisites: passing score on the ELM or exemption, and three years of high school mathematics, including two years of algebra and one year of geometry.
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MATH 125W - Precalculus Workshop (1)
Supplementary problem-solving workshop in a collegial setting. One or more sections may be offered in any online format.
Corequisites: MATH 125 and consent of instructor.
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MATH 130 - A Short Course in Calculus (4)
MATH 115 or MATH 125 with a grade of C (2.0) or better is an MQE exemption. Survey of differential and integral calculus and applications. For students of biological and social sciences, business and economics. If a student takes MATH 130 and MATH 135 and earns a C or better in both courses, the second course receives credit. If the student only succeeds in one of the two courses, credit is given for the course successfully completed. Six units of credit are given if both MATH 130 and MATH 150A are taken.
Prerequisites: three years of high school mathematics, including two years of algebra and one year of geometry; a passing score on the ELM or exemption; and a passing score on the MQE or exemption.
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MATH 130W - A Short Course in Calculus Workshop (1)
Supplementary instruction student-centered workshop focusing on problem-solving in calculus.
Corequisite: MATH 130 or MATH 135 .
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MATH 135 - Business Calculus (3)
MATH 115 or MATH 125 with a grade of C (2.0) or better is an MQE exemption. Survey of differential and integral calculus with applications, including derivatives, integrals and max-min problems. For students of business and economics. If a student takes MATH 130 and MATH 135 and earns a C or better in both courses, the second course receives credit. If the student only succeeds in one of the two courses, then credit is given for the course successfully completed. Six units of credit are given if both MATH 135 and MATH 150A are taken.
Prerequisites: three years of high school mathematics, including two years of algebra and one year of geometry; a passing score on the ELM or exemption; and a passing score on the MQE or exemption.
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MATH 135W - Business Calculus Workshop (1)
Supplementary instruction student-centered workshop focusing on problem-solving in business calculus.
Prerequisite: concurrent enrollment in MATH 135 .
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MATH 150A - Calculus I (4)
MATH 125, with a grade of C (2.0) or better, is an MQE exemption. Properties of functions. The limit, derivative and definite integral concepts; applications of the derivative, techniques and applications of integration. Six units of credit are given for both MATH 130 and MATH 150A, or for both MATH 135 and MATH 150A.
Prerequisites: four years of high school mathematics, including geometry, two years of algebra and trigonometry; a passing score on the ELM or exemption; and a passing score on the MQE or exemption.
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MATH 150B - Calculus II (4)
Techniques of integration, improper integrals and applications of integration. Introduction to differential equations. Parametric equations, sequences and series.
Prerequisite: MATH 150A .
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MATH 151A - Calculus I Workshop (1)
Supplementary problem-solving in a collegial setting.
Corequisites: MATH 150A and consent of instructor.
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MATH 151B - Calculus II Workshop (1)
Supplementary problem-solving in a collegial setting.
Corequisites: MATH 150B and consent of instructor.
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MATH 196 - Student-to-Student Tutorials (1-3)
Consult “Student-to-Student Tutorials” in this catalog for more complete course description. May be taken Credit/No Credit only.
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MATH 250A - Calculus III (4)
Calculus of functions of several variables. Partial derivatives and multiple integrals with applications. Parametric curves, vector-valued functions, vector fields, line integrals, Green’s Theorem, Stokes’ theorem, the Divergence Theorem, vectors and the geometry of 3-space.
Prerequisites: MATH 150A , MATH 150B .
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MATH 250B - Introduction to Linear Algebra and Differential Equations (4)
Introduction to the solutions of ordinary differential equations and their relationship to linear algebra. Topics include matrix algebra, systems of linear equations, vector spaces, linear independence, linear transformations and eigenvalues.
Prerequisite: MATH 250A .
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MATH 251A - Calculus III Workshop (1)
Supplementary problem-solving workshop in a collegial setting.
Corequisite: MATH 250A and consent of instructor.
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MATH 270A - Mathematical Structures I (3)
First of two semesters of fundamental discrete mathematical concepts and techniques needed in computer-related disciplines. Logic, truth tables, elementary set theory, proof techniques, combinatorics and Boolean algebra.
Prerequisite: four years of high school mathematics.
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MATH 270B - Mathematical Structures II (3)
Second of two semesters of fundamental discrete mathematical concepts and techniques needed in computer-related disciplines. Graph theory, algebraic structures and linear algebra.
Prerequisite: MATH 270A .
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MATH 280 - Strategies of Proof (3)
Logic, set theory and methods for constructing proofs of mathematical statements. A bridge to the rigors of upper-division mathematics courses containing significant abstract content.
Prerequisite: MATH 150B .
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MATH 302 - Modern Algebra (3)
Integers, rational numbers, real and complex numbers, polynomial domains, introduction to groups, rings, integral domains and fields.
Prerequisites: MATH 250B , MATH 280 .
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MATH 303A - Fundamental Concepts of Elementary Mathematics (3)
Structure and form of the mathematics that constitutes the core of the K-8 mathematics curriculum, including number sense, number theory and problem solving.
Prerequisite: completion G.E. Category B.4.
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MATH 303B - Fundamental Concepts of Elementary Mathematics (3)
Structure and form of the mathematics that constitutes the core of the K-8 mathematics curriculum, including the real number system, geometry, probability and statistics and problem solving.
Prerequisites: MATH 303A with a “C” (2.0) or better and completion G.E. Category B.4.
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MATH 306 - Vector and Tensor Analysis (3)
Vector analysis, including coordinate bases, gradient, divergence and curl, Green’s, Gauss’ and Stokes’ theorems. Tensor analysis, including the metric tensor, Christoffel symbols and Riemann curvature tensor. Applications will be drawn from differential geometry, continuum mechanics, electromagnetism, general relativity theory.
Prerequisite: MATH 250B .
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MATH 307 - Linear Algebra (3)
Theoretical aspects of abstract vector spaces. Linear transformations: isomorphisms, matrix representations, change of coordinates, eigenvalues and eigenvectors, diagonalizability, Jordan canonical form. Theoretical aspects of inner product spaces.
Prerequisites: MATH 250B and MATH 280 .
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MATH 310 - Ordinary Differential Equations (3)
Theory and methods of solutions for ordinary differential equations, including Laplace transform methods and power series methods. Oscillation theory for second order linear differential equations and/or theory for systems of linear and nonlinear differential equations.
Prerequisite: MATH 250B .
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MATH 320 - Introduction to Mathematical Computation (3)
Introduction to problem-solving on the computer using modern interactive software. Numerical and symbolic computation. Variety of problems arising in mathematics, science and engineering. Also serves as preparation for subsequent computer-based courses in mathematical modeling.
Corequisite: MATH 250B .
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MATH 335 - Mathematical Probability (3)
Probability theory; discrete, continuous and multivariate probability distributions, independence, conditional probability distribution, expectation, moment generating functions, functions of random variables and the central limit theorem. One or more sections may be offered in any online format.
Prerequisite: MATH 250A .
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MATH 338 - Statistics Applied to Natural Sciences (4)
Introduction to the theory and application of statistics. Elementary probability, estimation, hypothesis testing, regression, variance analysis, non-parametric tests. Computer-aided analysis of real data. Graphical techniques, generating and interpreting statistical output, presentation of analysis. One or more sections may be offered in any online format.
Prerequisite: MATH 130 or MATH 150B .
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MATH 340 - Numerical Analysis (3)
Approximate numerical solutions of systems of linear and nonlinear equations, interpolation theory, numerical differentiation and integration, numerical solution of ordinary differential equations. Computer coding of numerical methods.
Prerequisites: MATH 250B ; MATH 320 , CPSC 120 or CPSC 121
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MATH 350 - Advanced Calculus I (3)
Development of the theoretical foundations of calculus with an emphasis on mathematical rigor and formal proof. Algebraic and topological properties of the real numbers; limits of sequences and functions; continuity, differentiation and integration of functions of one variable; infinite series.
Prerequisites: MATH 250B and MATH 280 .
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MATH 368 - First Course in Symbolic Logic (3)
Recognition and construction of correct deductions in the sentential logic and the first-order predicate calculus. (MATH 368 AND PHIL 368 are the same course.)
Prerequisite: entry level mathematics examination.
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MATH 370 - Mathematical Model Building (3)
Introduction to mathematical models in science and engineering: dimensional analysis, discrete and continuous dynamical systems, flow and diffusion models.
Prerequisite: MATH 250B ; MATH 320 , CPSC 120 or CPSC 121 .
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MATH 380 - History of Mathematics (3)
History of mathematics through its methods and concepts. Designed to help the student become proficient in writing and reading mathematical literature. Satisfies the upper-division writing requirement for mathematics majors.
Prerequisite: MATH 150B .
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MATH 390 - Introduction to Actuarial Science (3)
Fundamentals of actuarial science, including risk theory, interest theory, rate making, loss reserve, and actuarial modeling. Selective corporate finance, investment and insurance topics, such as amortization, bonds, sinking funds, securities, annuities and pensions.
Prerequisite: MATH 150B . Corequisites: MATH 335 , MATH 338 or ISDS 361A .
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MATH 401 - Algebra and Probability for the Secondary Teacher (3)
Mathematical topics relevant to the teacher of secondary mathematics. Problem-solving approach to different areas including algebra, number theory, combinatorics and probability, while maintaining a historical perspective.
Prerequisites: 12 units of upper-division mathematics exclusive of MATH 303A , MATH 303B , MATH 403A or MATH 403B .
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MATH 402 - Logic and Geometry for the Secondary Teacher (3)
Parallel to MATH 401 , but emphasizing Euclidean geometry, logic and problem-solving from an historical perspective.
Prerequisites: 12 units of upper-division mathematics exclusive of MATH 303A , MATH 303B , MATH 403A or MATH 403B .
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MATH 403A - Fundamental Concepts of Middle School Mathematics I (3)
Content background in mathematics to help satisfy credentialing requirements for teaching mathematics at the middle school level. Focuses on gaining a thorough understanding of algebra, including patterns, functions and the use of technology.
Prerequisite: MATH 303B .
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MATH 403B - Fundamental Concepts of Middle School Mathematics II (3)
Content background in mathematics to help satisfy credentialing requirements for teaching mathematics at the middle school level. Focuses on gaining a thorough understanding of advanced algebra, geometry, probability and statistics and the use of technology.
Prerequisite: MATH 403A .
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MATH 406 - Introduction to Partial Differential Equations (3)
First order linear and quasi-linear partial differential equations. Classification of second order linear partial differential equations. Fourier analysis, Sturm-Liouville theory, integral transforms and their application to boundary-value problems for the potential, wave, and diffusion equations.
Prerequisite: MATH 306 .
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MATH 407 - Abstract Algebra (3)
Sets, mappings, groups, rings, modules, fields, homomorphisms, advanced topics in vector spaces and theory of linear transformations, matrices, algebras, ideals, field theory, Galois theory.
Prerequisite: MATH 302 .
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MATH 412 - Complex Analysis (3)
Complex differentiation and integration, Cauchy’s theorem and integral formulas, maximum modulus theorem, harmonic functions, Laurent series, analytic continuation, entire and meromorphic functions, conformal transformations and special functions.
Prerequisite: MATH 350 .
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MATH 414 - Topology (3)
Topological spaces and continuous functions, connectedness and compactness, metric spaces and function spaces.
Prerequisite: MATH 350 .
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MATH 417 - Foundations of Geometry (3)
Foundations of Euclidean and non-Euclidean geometries through transformations and formal axiomatics.
Prerequisite: MATH 307 .
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MATH 425 - Differential Geometry (3)
Differential geometry of curves and surfaces. Frenet-Seret formulas, Gauss-Weingarten equations, Gauss-Bonnet theorem.
Prerequisite: MATH 307 .
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