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2003-2005 Catalog


MATHEMATICS

 


Science Building I, Room 114A

(661) 664-3151

(661) 664-2039 (fax)

email:  klsmith@csub.edu

 

Chair:        K. Haddad

 

Faculty:     J. Cater, C. Cummings, J. Dirkse,M. El‑Ansary, M. Feghali, T. Felter,

                  J. Fiedler, D. Gove, K. Haddad, R. Larson, M. Lutz, J. Malouf,

                  N. McCaffery, D. Murphy, M. Noel, R. Peck, S. Raczkowski, K. Rush,

                  M. Rush, N. Shaw, V. Sheridan, A. Singh, K. Stark, L. Taylor,

                  M. Thomas, J. Trigos‑Arrieta, L. Webb, D. White

 

Program Description

 

Mathematics is a unique and valuable science that can be exciting, enjoyable, and rewarding. The Department of Mathematics provides a collection of mathematics courses designed to challenge and stimulate all open‑minded and thoughtful students regardless of individual backgrounds or major interest areas.  This is done by combining flexibility, applicability, and historical perspective in the design of the mathematics curriculum.  Furthermore, depth of understanding and appreciation are not sacrificed to quantity; the major emphasis is upon inquiry, creativity, methods, techniques, and thought processes rather than bulk of material.

 

The classroom goal is to discover both the importance and beauty of mathematics by combining lectures with discussions, problem solving laboratories, student presentations, writing assignments, and any other workable approaches to learning.  A student is encouraged to interpret and communicate mathematically with others, to follow self‑direction and in‑depth study, and to investigate interrelatedness of mathematical concepts.  A teacher acts as a resource person, stresses the spirit and point of view of mathematics, and provides for feedback of the relative value of classroom activities.

 

Upon completion of any mathematics course, students are better equipped to be participants in a highly technological, scientifically complex environment.  From a subjective point of view, they should have an improved grasp of the art and beauty of rational reasoning and discourse both as an observer and a participant.  From an objective point of view, they should have acquired new skills which, alone or in combination with others, will enhance both an understanding of and performance in the scientific world.

 

With the completion of a mathematics major, a student, depending upon the choice of upper division courses, either will be prepared to pursue:  (1) a career in the mathematical sciences (Applied Track); (2) a career in teaching (Teaching Track); or (3) a course of graduate study leading to an advanced degree (Theoretical Track).  The Applied Track includes courses in differential equations, numerical analysis, complex analysis, statistics, and partial differential equations.  The Teaching Track includes courses in geometry, algebra, probability and statistics; contacts with the teaching faculty; and experiences gained through student presentations in discussion and laboratory periods.  The Theoretical Track for graduate school preparation includes advanced algebra, real analysis, probability, and statistics.

 

Requirements for the Major in Mathematics

 

Students seeking a Bachelor of Science degree in Mathematics must complete the following:

1.   MATH 201, 202, 203, 204, 222, 300, 330, 331, 340, 363

2.   CMPS 221

3.   One of the following tracks:

      a.   Applied Mathematics Track

            (1)  MATH 490

            (2)  Four courses from MATH 302, 305, 312, 338, 339, 350, 402, 420, 430, 431, 440, 450, and 463.  One of the four courses must be MATH 302 or 350, and a second must be one of MATH 338, 339, or 440.

            (3)  One course from the following list:  PHYS 221, PHYS 222; BIOL 201, BIOL 202, BIOL 203; CHEM 211, CHEM 212; ECON 201, ECON 202, ECON 301, ECON 302; CMPS 222, CMPS 223; MGMT 301.  This course cannot also satisfy the General Education requirement B1, B2, B3, D2, or Theme 1.

      b.   Teaching Mathematics Track

            (1)  MATH 420, 425, 440, 450, 491

            (2)  One of 302, 305, 312, 350 or 430

            (3)  EDSE 241 (2 units)

            (4)  At least two five unit courses in the Natural Sciences.

      c.   Theoretical Mathematics Track

            (1)  MATH 490

            (2)  Five courses from MATH 302, 305, 312, 338, 339, 350, 402, 420, 430, 431, 440, 450, and 463.  Two of these courses must be selected from MATH 402, 431, 440, and 463.  Of these, at least one must be selected from 431 and 463.

 

Teaching Credential - Mathematics Teacher Preparation Program

 

The California Commission on Teacher Credentialing (CCTC) has authorized CSUB to offer a single subject matter preparation program in Mathematics leading to a Bachelor of Science degree.  Additional information may be obtained from the Mathematics Program Coordinator.

 

All of the following courses are required (20 courses, 95 units):

1.   Lower Division

      a.   MATH 201, 202, 203, 204, 222

      b.   CMPS 221

      c.   EDSE 241 (2 units)

2.   Upper Division

      a.   MATH 300, 330, 331, 340, 363, 420, 425, 450 and 491

      b.   One of MATH 338, 339, or 440

      c.   One of MATH 302, 305, 312, 350, or 430

3.   Cognates

      a.   At least two five-unit courses in the Natural Sciences.

 

Honors Option

 

A student may, with the approval of the Chair of the Department of Mathematics, undertake the Honors Program in Mathematics by completing the following:

1.   One of the tracks A, B, or C.

2.   An additional ten hours of upper division courses to be chosen from the required and elective courses in A, B, and C.

3.   Included in 1 and 2 above, at least one upper division sequence in Mathematics.  (Currently the Upper Division sequences are MATH 331‑431 Algebraic Structures I and II, MATH 363‑463 Real Analysis I and II, and MATH 340 Probability Theory and MATH 440 Mathematical Statistics.)

4.   MATH 492 Senior Honors Thesis and presentation of an Honors thesis to the Department of Mathematics.

 

Requirements for the Minor in Applied Statistics

 

Although no minor is required for the BS degree, a minor in Applied Statistics is available, consisting of 20 quarter units chosen from MATH 140 or equivalent, MATH 210, MATH 338, MATH 339, MATH 340, and MATH 440.

 

Requirements for Minor in Mathematics

 

Although no minor is required for the BS degree, a minor in Mathematics is available.  The requirements are 20 units, to include MATH 203, 204, and 10 upper division units.  These courses are to be chosen subject to the approval of a Department of Mathematics advisor.  Note:  MATH 320 and 321 together may count as 5 of the upper division units.

 

COURSE DESCRIPTIONS

 

Developmental Mathematics

 

MATH 70 Introduction to Algebra and Functions (5)

Introductory course in algebra and functions.  Introduction to basic properties of real numbers, variables, equations, and algebraic expressions.  Interpretation of information from tables and graphs.  Evaluation of expressions and formulas.  Translation from words to symbols.  Introduction to Cartesian plane and graphing linear functions.  Solving linear equations and inequalities.  Course uses graphing calculators.  Course does not count toward graduation.  Prerequisite: An appropriate score on the ELM (see Class Schedule for details).  [F,W,S]

 

Note:  Math 70 may be taken as a course using an interactive online educational system (IOES).  The IOES course requires students to spend a minimum of 12 hours per week using the system, half of which will be in class.

 

MATH 80 Elementary Algebra and Functions (5)

Elementary course in algebra and functions.  Solving systems of linear equations and inequalities algebraically and graphically.  Rules of exponents.  Algebra of polynomials, including factoring.  Rational expressions.  Solving quadratic and rational equations and applications using problem solving techniques.  Introduction to the domain and range of functions.  Course uses graphing calculators.  Course does not count toward graduation.  Prerequisite:  Satisfactory completion of MATH 70 or  an appropriate score on the ELM (see Class Schedule for details).  [F,W,S]

 

Note:  Math 80 may be taken as a course using an interactive online educational system (IOES).  The IOES course requires students to spend a minimum of 12 hours per week using the system, half of which will be in class.  The student must secure the permission of the previous Math 70 IOES instructor or the Developmental Coordinator to enroll in an IOES course.

 

MATH 90 Intermediate Algebra and Functions (5)

Intermediate course in algebra and functions.  Review of functions including domain, range, graphs and the algebra of functions.  In-depth graphical and algebraic analysis of linear, quadratic, exponential, and logarithmic functions, including inequalities and problem-solving.  Introduction to higher degree polynomials and rational functions.  Inverse functions.  Course uses graphing calculators.  Course does not count toward graduation.  Prerequisite:  Satisfactory completion of MATH 80 or an appropriate score on the ELM (see Class Schedule for details).  [F,W,S]

 

Note:  Math 90 may be taken as a course using an interactive online educational system (IOES).  The IOES course requires students to spend a minimum of 12 hours per week using the system, half of which will be in class.  The student must secure the permission of the previous Math 80 IOES instructor or the Developmental Coordinator to enroll in an IOES course.

 

Lower Division

 

To enroll in any course numbered 100 or above, a student must have satisfied the ELM requirement.

 

MATH 101 Finite Mathematics (5)

Mathematical topics for business, social, and life sciences selected from logic, set theory, combinatorics, statistics, matrix algebra, linear programming, Markov chains, analytic geometry, graph theory, and mathematics of finance.  Prerequisite:  (1) MATH 90; or (2) Satisfaction of the Entry Level Mathematics requirement. (CAN MATH 12)  [F,W,S]

 

MATH 120 Introduction to Quantitative Methods in Business (5)

Matrix algebra and systems of equations, analytic geometry, basic concepts of differential calculus and introduction to integral calculus.  Applications from the areas of business and economics.  Students in this course are assumed to have retained mastery of their previous experiences in problem solving in the areas of algebra, geometry and probability.  Course makes use of appropriate computing technology and graphing utilities.  Prerequisite:  (1) MATH 90; or (2) Satisfaction of the Entry Level Mathematics requirement.  [F]

 

MATH 140 Elementary Statistics (5)

Descriptions of sample data; exploratory data analysis; elementary probability; binomial, normal, “t”, chi‑square, F and other distributions; estimation and hypothesis testing techniques; non‑parametric methods; linear regression and correlation; introduction to multiple regression and analysis of variance.  Applications to fields including business, natural sciences, social sciences, and humanities.  Course makes use of computer statistical packages.  Prerequisite:  (1) MATH 90; or (2) Satisfaction of the Entry Level Mathematics requirement.  (Credit toward graduation cannot be earned for both MATH 140 and PSYC 200.) (CAN STAT 2)  [F,W,S,SS]

 

MATH 191 Pre-calculus Mathematics I: 

Elementary Functions (5)

The algebraic and graphical analysis of polynomial, rational, logarithmic and exponential functions and their applications.  The concept of function is used as the unifying theme.  This course makes use of graphing utilities.  Prerequisite:  (1) MATH 90; or (2) Satisfaction of the Entry Level Mathematics requirement.  [F,W,S,SS]

 

MATH 192 Pre-calculus Mathematics II: 

Trigonometric Functions (5)

The algebraic, geometric and graphical analysis of trigonometric functions and their applications.  Unit circle trigonometry.  Trigonometric functions of real numbers.  Introduction to polar coordinates.  This course makes use of graphing utilities.  Prerequisite:  MATH 191.  [F,W,S,SS]

 

MATH 201 Calculus I (5)

Introduction to the differential calculus of elementary functions (including logarithmic, exponential, and trigonometric functions).  Emphasis on limits, continuity, and differentiation.  Applications of differentiation (including curve sketching, optimization, and related rates).  This course makes use of graphing calculators, but not of computer algebra systems.  Prerequisite:  (1) A grade of C- or better in MATH 192; or (2) Satisfaction of the ELM requirement and an appropriate score on the UC/CSU MDTP Calculus Readiness Test.  [F,W,S]

 

Note:  Students without recent credit in MATH 192 are advised to consult the Department of Mathematics and to take the UC/CSU Precalculus Diagnostic Test before enrolling in MATH 201.

 

MATH 202 Calculus II (5)

Introduction to the integral calculus of elementary functions.  The Fundamental Theorem of Calculus; techniques of integration; applications of integration; improper integrals; introduction to differential equations.  This course makes use of graphing calculators, and could make use of computer algebra systems.  Corequisite:  MATH 222.  Prerequisite:  A grade of C- or better in MATH 201.  [F,W,S]

 

MATH 203 Calculus III (5)

Three dimensional analytic geometry; parametric curves; functions of several variables; partial and directional derivatives; the chain rule; gradients; optimization; double integrals.  This course may make use of computer algebra systems.  Prerequisite:  Grades of C- or better in MATH 202 and MATH 222.  [F,W,S]

 

MATH 204 Calculus IV (5)

Cylindrical and spherical coordinates; triple integrals; vector calculus (including line and surface integrals and the theorems of Gauss, Stokes and Green and the Fundamental Theorem of Line Integrals); sequences and series.  This course may make use of computer algebra systems.  Prerequisite:  A grade of C- or better in MATH 203.  [F,W,S]

 

MATH 210 Sampling and Surveys (5)

Expected values and variances, properties of estimators, basic concepts of sampling theory; simple random sampling; stratified random sampling; systematic sampling; cluster sampling.  Sources of errors in surveys.  Ratio estimators. Prerequisite:  MATH 140.  [S]

 

MATH 221 Introduction to Data Analysis, Statistics, and Algebraic Models (5)

The collection, organization, and tabular display of data.  Descriptive measures, random sampling, and introduction to inference.  The identification of patterns and of functional relationships as tables, graphs, verbal descriptions, and symbolic rules.  The use of mathematical relationships as models of physical phenomena.  Linear and quadratic functions;  their representations, graphs, and interpretations.  Use of graphing calculators.  Required for entry into the CSUB Multiple Subject Credential Program.  Prerequisites:  Satisfaction of the CSU Entry Level Mathematics Requirement.  [F,W,S,SS]

 

MATH 222 Laboratory Experience (3)

Introduction to the use of a computer algebra system (CAS) in exploring applications in differential and integral calculus.  Corequisite:  MATH 202.  Prerequisite:  A grade of C- or better in MATH 201.  [F,W,S]

 

MATH 251 Focus on Algebra for Middle School Teachers (5)

Patterns and Formulas.  Verbal, Tabular, Graphical, and Symbolic Representations of Numerical Relations.  Multiple Approaches to Word Problems. Geometric Models in Elementary Algebra.  Activities and use of technology and manipulative materials as they relate to the middle grades curriculum, the NCTM Standards, the California Mathematics Content Standards and the California Mathematics Framework.  This course is designed for in-service middle grades teachers of mathematics and is not ordinarily available to pre-service teachers.  Prerequisites: Permission of the Instructor.  [S]

 

MATH 252 Geometry, Measurement, and Fractions for Middle School Teachers (5)

Similarity, Equivalent Fractions, Factors and Multiples, Spatial Visualization, Perspective and other Two Dimensional Representations of Solids.  Activities and use of technology and manipulative materials as they relate to the middle grades curriculum, the NCTM Standards, the California Mathematics Content Standards and the California Mathematics Framework.  This course is designed for in-service middle grades teachers of mathematics and is not ordinarily available to pre-service teachers.  Prerequisites: Permission of the Instructor.  [SS]

 

MATH 253 Probability, Statistics, and Number Sense for Middle School Teachers (5)

Elementary Probability, Area Models, Surveys, Bar Graphs, Fair and Unfair Games, Expected Value, Measures of Central Tendency and Dispersion. Number Sense and Problem Solving activities using patterns, formulas, tables, estimation and mental arithmetic, and other strategies.  Activities and use of technology and manipulative materials as they relate to the middle grades curriculum, the NCTM Standards, the California Mathematics Content Standards and the California Mathematics Framework.  This course is designed for in-service middle grades teachers of mathematics and is not ordinarily available to pre-service teachers.  Prerequisites:  Permission of the Instructor.  [F]

 

MATH 254 Data Analysis and Modeling for Middle School Teachers (5)

Data Collection: Surveys, Experiments and Public Databases. Randomness and Probabilistic Simulations of Natural Processes.  Discrete, Linear and Exponential Models for Physical and Social Phenomena.  Residual Analysis, and Measures of Goodness of Fit Activities and use of technology and manipulative materials as they relate to the middle grades curriculum, the NCTM Standards, the California Mathematics Content Standards and the California Mathematics Framework.  This course is designed for in-service middle grades teachers of mathematics and is not ordinarily available to pre-service teachers. Prerequisites: Permission of the Instructor.  [W]

 

MATH 277 Special Topics in Mathematics (1-5)

Analysis of contemporary and interdisciplinary problems.  Topics and prerequisites to be announced.

 

MATH 289 Experiential Prior Learning (5)

Evaluation and assessment of learning which has occurred as a result of prior off-campus experience relevant to the curriculum of the department.  Requires complementary academic study and/or documentation.  Available by petition only, on a credit, no‑credit basis.  Not open to post-graduate students.  Interested students should contact the Department of Mathematics.

 

Upper Division

 

MATH 300 Sets and Logic (5)

An investigation of the fundamental tools used in writing mathematical proofs, including sentential and predicate calculus, topics from naive set theory, Cartesian products, partitions, equivalence relations, functions, countability, and mathematical induction.  This course relies heavily on problem solving and writing complete, logically consistent arguments in the context of an axiomatic system to illustrate the correct use of the logical tools and methods discussed.  Prerequisite:  MATH 203.  [F,S]

 

MATH 302 Ordinary Differential Equations (5)

First‑order differential equations; linear differential equations; linear systems; Laplace transforms and their application to solutions of linear differential equations and systems; series solutions of second‑order linear equations and/or numerical solutions of differential equations; topics in nonlinear differential equations and systems; applications.  Prerequisite:  MATH 203.  [S]

 

MATH 305 Numerical Analysis (5)

Number representation and basic concepts of error; numerical solutions of nonlinear equations and systems of equations; interpolation and extrapolation; numerical differentiation and integration; numerical solutions of ordinary differential equations; approximation by spline functions.  Cross-listed as CMPS 305.  Prerequisites:  (1) MATH 203; and (2) CMPS 140 or CMPS 221.  [F-odd yrs.]

 

MATH 312 Complex Variables (5)

Complex numbers; analytic functions; conformal mapping; integrals; Cauchy’s Theorem and the calculus of residues; power series.  Prerequisite:  MATH 204.  [Weven yrs.]

 

MATH 320 Introduction to Number Systems (5)

The development of the real numbers beginning with whole numbers. An introduction to set theory, numeration systems, computational algorithms, number theory, estimation, and uses of calculators in problem solving.  The use of proportional reasoning in numerical and algebraic problems.  This course involves substantial use of 2- and 3- dimensional concrete materials in a cooperative learning laboratory setting.  Required for entry into the Multiple Subjects Credential Program.  Prerequisite:  A grade of C- or better in Math 221.  [F,W,S,SS]

 

MATH 321 Introduction to Modern Geometry and Probability (5)

Introduction to principles of measurement, the metric system, the geometry of plane and solid shapes, constructions, networks, and applications.  An introduction to the basic notions of chance and probability.  The use of proportional reasoning to solve geometry problems.  The use of calculators and/or dynamical geometry software in discovery and problem solving.  This course involves substantial use of 2- and 3- dimensional concrete materials in a cooperative learning laboratory setting.  Required for entry into the Multiple Subjects Credential Program.  Prerequisite:  A grade of C- or better in MATH 320.  [F,W,S,SS]

 

MATH 330 Linear Algebra (5)

Matrices; systems of linear equations; vector spaces, dimensions, linear independence; spaces associated with matrices; bases, change of basis, orthogonal bases; linear transformations, matrix representation; eigenvalues and eigenvectors, diagonalization; quadratic forms.  Prerequisite:  MATH 203.  Recommended: MATH 300 or CMPS 300.  [W,S]

 

MATH 331 Algebraic Structures I (5)

Mappings, relations, binary operations; groups; rings; integral domains and fields.  Prerequisite:  MATH 300.  [W]

 

MATH 338 Analysis of Variance and Experimental Design (5)

One‑way ANOVA: completely randomized design, multiple comparisons and contrasts; Two‑way ANOVA: randomized complete block design, fixed and random effects; Multi‑way factorial models, analysis of nonorthogonal factorial designs; Analysis of covariance.  Use of statistical packages.  Prerequisite:  MATH 140.  [F]

 

MATH 339 Regression Analysis (5)

Least squares and simple linear regression; correlation analysis; multiple regression; residual analysis.  Model selection techniques.  Log‑linear and Logit models.  Time series analysis.  Use of statistical packages.  Prerequisite:  MATH 140.  [W]

 

MATH 340 Probability Theory (5)

Mathematical models; sample spaces and events; combinatorial and occupancy problems; axiomatic probability; conditional probability and Bayes’ Theorem; random variables, expected value, and functions of random variables; probability mass and density functions and distribution functions for both discrete and continuous variables; waiting times and queues; joint distribution for discrete variables.  Prerequisite:  MATH 203.  Recommended:  MATH 300 or CMPS 300.  [S]

 

MATH 350 Introduction to Mathematical Modeling (5)

Course to meet in two lectures and two laboratory sessions.  The course is designed to give the student an early introduction to the construction and use of empirical and analytic mathematical models.  Course evaluation will involve at least one extended project.  Prerequisites:  (1) MATH 203; and (2) MATH 302 or MATH 330.  [S - even years]

 

MATH 363 Real Analysis I (5)

Development of a rigorous foundation for analysis; open and closed sets; sequences and series; continuity; differentiability and an introduction to integration.  Prerequisites:  MATH 204;  and MATH 300.  [F]

 

MATH 402 Partial Differential Equations (5)

Classical partial differential equations; orthogonal sets of functions; Fourier series and integrals; Bessell functions and applications, Legendre polynomials and applications.  Prerequisites:  (1) MATH 204; and (2) MATH 302.  [F-even yrs.]

 

MATH 420 Foundations of Geometry (5)

Axiomatic approach to Euclidean geometry and topics selected from distance, congruence, similarity, separation, betweenness, inequalities, parallel postulate coordinate systems, constructions, area, length, and volume; introduction to non‑Euclidean geometries.  Prerequisite:  MATH 300.  [F]

 

MATH 425 Modern Mathematics for Teachers (5)

This course is designed for both preservice and inservice middle and high school mathematics teachers.  It will involve investigations, problem solving, and laboratory activities in number theory, algebra, geometry, probability, and statistics.  Prerequisite:  Successful completion of 30 quarter units of college mathematics.  Credit cannot be earned for both MATH 425 and MATH 320/321.  [W]

 

MATH 426 Mathematics Curriculum and

Instruction for Secondary Teachers (3)

Instructional strategies, resources, and methods for prospective junior high and high school mathematics teachers.  This course does not count toward a major or a minor in mathematics. Cross-listed as EDSE 421  [F]

 

MATH 430 Number Theory (5)

Elementary theory of the natural numbers, including prime numbers and divisibility; congruences; number‑theoretic functions, Diophantine equations, and selected topics.  Prerequisite:  MATH 300.  [S-odd yrs.]

 

MATH 431 Algebraic Structures II (5)

A continuation of MATH 331.  Group structure theorems, structure of finite fields, Galois Theory, and selected topics and applications.  Prerequisite:  MATH 331.  [S-even yrs.]

 

MATH 440 Mathematical Statistics (5)

Derivation of sampling distributions and their properties: estimation of parameters; theory of confidence intervals and hypothesis testing; properties of estimators and tests; likelihood ratio tests; power and most powerful tests.  Prerequisites:  MATH 340 and MATH 204.  [F-odd yrs.]

 

MATH 450 Introduction to the History of

Mathematics (5)

Development of mathematics from its empirical origins to its present form.  Emphasis may vary with the instructor.  Evaluation will include at least one substantial student paper.  Students taking this course for graduate credit are required to submit a more substantial paper.  Prerequisites:  (1) MATH 300; AND (2) At least two mathematics courses numbered above 300; AND (3) Completion of CSUB’s Graduation Writing Assessment Requirement Exam (GWAR).  [W]

 

MATH 463 Real Analysis II (5)

A continuation of MATH 363, Riemann integration; the fundamental theorem of calculus; Taylor’s theorem with remainder; uniform convergence and Taylor series; spaces of functions and applications; e.g. Fourier series and existence theorems for differential equations.  Prerequisite:  MATH 363.  [W-odd yrs.]

 

MATH 477 Special Topics in Mathematics (1-5)

Topics and prerequisites to be announced.

 

MATH 480 Research Participation (1-5)

Supervised mathematical investigation.  May be repeated.  Offered on a credit, no credit basis only.  Prerequisite:  Permission of instructor.

 

MATH 489 Experiential Prior Learning (1-5)

Evaluation and assessment of learning which has occurred as a result of prior off-campus experience relevant to the curriculum of the department.  Requires complementary academic study and/or documentation.  Available by petition only, on a credit, no-credit basis.  Not open to post-graduate students.  Interested students should contact the Department of Mathematics.

 

MATH 490 Senior Seminar (5)

Preparation of papers and discussion by faculty and students.  Prerequisites: (1) At least four upper-division courses from either the Applied or Theoretical Tracks; and (2) Completion of CSUB’s Graduation Writing Assessment Requirement Exam (GWAR).  [S]

 

MATH 491 Senior Seminar in Mathematics for

Prospective Teachers (5)

Preparation of papers and discussion by faculty and students.  Mathematics relevant to secondary education.  Prerequisites:  (1) At least four upper division courses from the Teaching Track; and (2) Completion of CSUB’s Graduation Writing Assessment Requirement Exam (GWAR).  [S]

 

MATH 492 Senior Honors Thesis (5)

Individual study with a faculty sponsor leading to a formal written report on a specific topic or problem. Prerequisites:  (1) Senior standing; and (2) consent of faculty sponsor; and (3) approval of the Chair of the Department of Mathematics.

 

MATH 494 Senior Seminar for Elementary/Middle School Mathematics Teachers (6)

Preparation of papers and discussion by faculty and students.  Mathematics relevant to elementary and middle school education.  Prerequisites:  (1) MATH 321 (or the equivalent), (2) MATH 192* or a course which has MATH 192 as a prerequisite (*may be taken concurrently), and (3) Completion of CSUB’s Graduation Writing Assessment Requirement Exam (GWAR).  [S]

 

MATH 496 Internship in Mathematics (1-5)

Internships may be arranged by the department with various agencies, businesses, or industries.  The assignments and coordination of work projects with conferences and readings, as well as course credits, evaluation, and grading, are the responsibility of the faculty liaison (or course instructor) working with the field supervisor.  Offered on a credit, no‑credit basis only.

 

MATH 497 Cooperative Education (1-5)

The Cooperative Education program offers a sponsored learning experience in a work setting, integrated with a field analysis seminar.  The field experience is contracted by the Cooperative Education office on an individual basis, subject to approval by the department.  The field experience, including the seminar and reading assignments, is supervised by the cooperative education coordinator and the faculty liaison (or course instructor), working with the field supervisor.  Students are expected to enroll in the course for at least two quarters.  The determination of course credits evaluation, and grading are the responsibility of the departmental faculty.  Offered on a credit, no‑credit basis only.

 

Graduate Courses

 

Graduate courses are listed in the “Graduate Studies” section of the catalog.