|
Department Chair:
K. Haddad
Department
Office:
Science Building I, 114A
Telephone:
(661)
654-3151
email:
mathdep@csub.edu
Website:
www.csub.edu/Math/
Faculty:
S. Behseta, J. Cater, J. Dirkse, M. El‑Ansary, M. Feghali,
T. Felter, J. Fiedler, D. Gove, K. Haddad, Y. Ko, C. Lam, R.
Larson, M. Lutz, J. Malouf, D. Murphy, R. Peck, S.
Raczkowski, 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 or advanced studies in the
mathematical sciences (Applied Track or Statistics Track);
(2) a career in teaching (Teaching Track); or (3) a course
of graduate study leading to an advanced degree in pure
mathematics (Theoretical Track). The Applied Track includes
courses in differential equations, numerical analysis,
complex analysis, and partial differential equations. The
Statistics Track includes courses in nonparametric
statistics, design of experiments, analysis of variance and
regression analysis. The Teaching Track includes courses in
geometry, number theory, and probability and statistics. The
Theoretical Track includes abstract algebra, real and
complex analysis, probability, and number theory. In all
tracks, students gain experiences through student
presentations and discussion in laboratory periods.
Requirements
for the Major in Mathematics
Students seeking
a Bachelor of Science degree in Mathematics must complete
the following:
MATH 201, 202,
203, 222, 300, 330, 340, 363, CMPS 221
One of the
following tracks:
a. Applied
Mathematics Track
(1) MATH
204, 205, 305, 490
(2) One of
MATH 312, 350, or 402
(3) One
course from the following list: PHYS 221, PHYS 222; BIOL
201, BIOL 310 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
(4) Two
additional upper division MATH electives1
b. Teaching
Mathematics Track
(1) MATH
3012 ,
360, 440, 450, 491
(2) One of
MATH 204 or 205
(3) EDSE
400
(4) Two
additional upper division MATH electives1 ,
which may include MATH 204 or 205
c.
Theoretical Mathematics Track
(1) MATH
204, 312, 331, 430, 490
(2) One of
MATH 431 or 463
(3) Two
additional upper division MATH electives1 ,
which may include MATH 205
d.
Statistics Track
(1) MATH
204, 215, 440, 490
(2) MATH
338 or 339
(3) An
upper division cognate to be approved by the mathematics
department
(4) Two
additional upper division MATH electives1 ,
which may include MATH 205
1 Note: At
most two of MATH 301, 331 and 430 can count towards the
major; and MATH 320 AND MATH 321 do not count toward the
major.
2 MATH
331 and MATH 430 may substitute for MATH 301 and an upper
division MATH elective.
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, C or D.
2. An
additional ten hours of upper division courses in
mathematics (not to include MATH 320 or 321).
3. Included in
1 and 2 above, at least one upper division sequence in
Mathematics. (The Upper Division sequences are MATH 331‑431
Algebraic Structures I and II, MATH 363‑463 Real Analysis I
and II, MATH 205-402 Ordinary and Partial
Differential Equations, MATH 360-420 Geometry, and
MATH 340-440 Probability and 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 215, 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, and 15 units taken from MATH 204, 205, or any upper
division MATH class. 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.
Back to the top
COURSE
DESCRIPTIONS
Developmental Mathematics
Math 75
Developmental Mathematics I (5)
First of two
courses reviewing fundamental concepts, geometry, basic data
analysis, and introductory algebra. Topics include the
following - Operations and ordering of numbers; plotting on
the number line; algebraic expressions, equations, and
inequalities; graphical representations of data; mean and
median; estimation and prediction; perimeter, area, and
volume; angles in the plane; special triangles; congruence;
Pythagorean Theorem; parallel and perpendicular lines.
Emphasis is on applications of concepts. Course does not
count toward graduation. Prerequisite: An appropriate
score on the ELM (see Class Schedule for details). [F, W, S]
Note: Math 75
may be taken as a course using the interactive online
educational system ALEKS. This course requires students to
work online using ALEKS a minimum of 12 hours per week, half
of which will be in class.
Math 85
Developmental Mathematics II (5)
Second of two
courses reviewing fundamental concepts, geometry, basic data
analysis, and introductory algebra. Topics include the
following - Equations of lines; functions; algebra of
polynomial and rational expressions; factoring; solutions of
linear, quadratic, and rational equations; solutions of
linear inequalities and systems of linear equations; graphs
of linear and quadratic functions; midpoint and distance
formulas; ratio, proportion and similar triangles; square
and higher-order roots. Emphasis is on applications of
concepts. Course does not count toward graduation, but
passing this course satisfies the Entry Level Mathematics
requirement. Prerequisite: (1) An appropriate score on the
ELM (see Class Schedule for details); or (2) a passing grade
in Math 75. [F, W, S]
Note: Math 85
may be taken as a course using the interactive online
educational system ALEKS. This course requires students to
work online using ALEKS a minimum of 12 hours per week, half
of which will be in class.
Back to the top
Lower Division
To enroll in any
course numbered 100 or above, a student must have satisfied
the Entry Level Mathematics 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 85; or (2) other 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 85; or (2)
other 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”, F and other
distributions; estimation and hypothesis testing techniques;
non‑parametric methods; linear regression and correlation;
introduction to multiple regression; analysis of variance
and chi-square tests. Applications to fields including
business, natural sciences, social sciences, and
humanities. Course makes use of computer statistical
packages. Prerequisite: (1) MATH 85; or (2) other
satisfaction of the Entry Level Mathematics requirement.
(Credit toward graduation cannot be earned for both MATH 140
and PSYC 200.) [F,W,S,SS]
MATH 190
Pre-calculus I: Intermediate and College Algebra (7)
Review of
intermediate algebra including operations with polynomials
and radicals, and absolute value. The algebraic and
graphical analysis of polynomial, rational, exponential, and
logarithmic functions and their applications. The concept of
function is used as a unifying theme. This course makes use
of graphing utilities. Prerequisite: Satisfaction of the
Entry Level Mathematics requirement. [F,W,S]
Note:
Students whose previous intermediate algebra coursework is
not recent are strongly encouraged to enroll in Math 190.
Students may receive credit for either Math 190 or Math 191,
but not both.
Math 191
Pre-calculus I: College Algebra (5)
The algebraic and
graphical analysis of polynomial, rational, logarithmic and
exponential functions and their applications. The concept of
function is used as a unifying theme. This course makes use
of graphing utilities. Prerequisite: (1) Passing score on
the ELM Exam (See Class schedule for details) or (2)
Satisfaction of the Entry Level Mathematics requirement and
a passing score on the Pre-calculus Readiness Test (See
Class Schedule for details). [F,W,S,]
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 and conics. This course makes use of
graphing utilities. Prerequisite: A grade of C- or better
in MATH 190 or 191. [F,W,S]
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. Prerequisite: (1) A grade
of C- or better in MATH 192; or (2) Satisfaction of the
Entry Level Mathematics 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
Pre-calculus 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; sequences
and series. This course may make use of computer algebra
systems. Co-requisite: MATH 222. Prerequisite: A grade of
C- or better in MATH 201. [F,W,S]
MATH 203
Calculus III (5)
Three dimensional
analytic geometry; polar coordinates; parametric curves;
functions of several variables; partial and directional
derivatives; the chain rule; gradients; optimization. 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)
Separable
differential equations; cylindrical and spherical
coordinates; double integrals; triple integrals; vector
calculus (including line and surface integrals, the
Fundamental Theorem of Line Integrals, and the theorems of
Green, Stokes and Gauss.) This course may make use of
computer algebra systems. Prerequisite: A grade of C- or
better in MATH 203. [F,S]
MATH 205
Ordinary Differential Equations (5)
First-order
differential equations; linear differential equations;
linear systems. Laplace transforms; series solutions of
second-order linear equations; geometric approach to
nonlinear differential equations and to questions of
stability. Prerequisite: A grade of C- or better in MATH
203. [W,S]
MATH 206 Advanced
Engineering Mathematics (5)
Introduction to
ordinary differential equations, Fourier Series and
Integral, other transforms, and partial differential
equations; applications to computer hardware such as the
resonance, wave equation, transmission line equation, and
filtering. Cross-listed as CMPS 206. Prerequisite: MATH 203.
[S]
MATH 215
Applied Nonparametric Statistics (5)
Nonparametric
tests including one-sample methods, two-sample methods, k-sample
methods, paired comparisons and blocked designs, tests for
trends and association, multivariate-test, analysis of
censored data, nonparametric bootstrap methods, multi-factor
experiments, smoothing methods and robust model fitting.
Prerequisite: MATH 140 [W]
MATH 221
Introduction to Number Systems and Reasoning (5)
An Introduction
to set theory, inductive and deductive reasoning including
patterns and sequences. The development and structure of
the real number system beginning with whole numbers,
numeration systems, computational algorithms, number theory,
estimation and uses of calculators in problem solving.
Introduction to principles of measurement. 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 CSUB
Multiple Subjects Credential Program. Prerequisites:
Satisfaction of the CSU Entry Level Mathematics Requirement.
[F, W, S]
MATH 222
Laboratory Experience (3)
Introduction to
the use of a computer algebra system 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.
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.
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.
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.
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.
Back to the top
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, mathematical
induction, recursion, the binomial theorem 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 202. [F,S]
MATH 301
Classical Algebra (5)
A study of the
basic algebraic systems of mathematics. Topics include
integers, Euclidean Algorithm, modular arithmetic, rational
numbers, real numbers, complex numbers, polynomial rings,
and basic group theory. Prerequisite: MATH 300. [W]
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 221 or equivalent. [W - even years, S - 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. [S]
MATH 320
Number Systems, Statistics and
Probability
(5)
A continuation of
the development of the real numbers beginning with rational
numbers. Investigation of a variety of problem situation
that display quadratic patterns. The collection,
organization, and tabular display of data. Descriptive
measures, random sampling, and introduction to inference. An
introduction to the basic notions of chance and
probability. This course involves substantial use of 2- and
3- dimensional concrete materials in a cooperative learning
laboratory setting. Required for entry into the CSUB
Multiple Subjects Credential Program. Prerequisites: A grade
of C- or better in Math 221. [F,W,S,SS]
MATH 321
Introduction To Modern Geometry (5)
Introduction to
principles of measurement, the metric system, the geometry
of plane and solid shapes. Constructions, networks, and
applications. 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 CSUB Multiple Subjects
Credential Program. Prerequisites: 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; selected applications. 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 and Math 330
(Math 330 may be taken concurrently). [W]
MATH 338
Analysis of Variance and Experimental Design (5)
Single-factor
ANOVA; orthogonal contrasts; multiple comparisons;
completely randomized design; fixed and random effects;
two-factor ANOVA; randomized complete block design;
factorial models; fixed, random, and mixed models; nested
models. Use of statistical packages. Prerequisite; Math
140 [F]
MATH 339
Regression Analysis (5)
Least squares;
simple linear regression; correlation analysis; residual
analysis; multiple regression; model selection techniques.
Use of statistical packages.
Prerequisite:
MATH 140. [S]
MATH 340
Probability Theory (5)
Sample spaces and
events; counting problems, permutations and combinations;
conditional probability; independence; Bayes theorem;
discrete and continuous random variables; bivariate,
multivariate, marginal, and conditional distributions;
functions of random variables; expected value, moments,
variance, covariance, and correlation; distribution theory
including Bernoulli, binomial, hypergeometric, Poisson,
uniform, normal, exponential, gamma, and beta distributions;
central limit theorem. Prerequisite: MATH 203.
Recommended: MATH 300 or CMPS 300. [F,S]
MATH 350
Introduction to Mathematical Modeling (5)
The course is
designed to give the student an early introduction to the
construction and use of empirical and analytic mathematical
models from areas such as economics, game theory, integer
programming, mathematical biology and mathematical physics
(topics depend on instructor). Course evaluation will
involve at least one extended project. Pre-requisite: Math
205 [F - odd years]
Math 360
Euclidean Geometry (5)
Introduction to
the origin and foundations of two- and three-dimensional
geometry. Topics include synthetic versus analytic proofs,
the classification and representation of motions and
similarities, projections, homogeneous coordinates; the
historical role of logical equivalents to Euclid’s fifth
postulate. Dynamical Geometry software is used for
exploration and discovery. This course provides a survey of
material needed to prepare students to teach high school
geometry courses. Prerequisites: Math 300 and Math 330
(Math 330 may be taken concurrently). [F]
MATH 363
Introduction to Analysis I (5)
Development of a
rigorous foundation for analysis; axioms for the real
numbers; sequences and series; continuity;
differentiability. Prerequisites: Math 203 and MATH 300.
[F]
MATH 402
Partial Differential Equations (5)
Fourier series,
classical partial differential equations such as heat
equation, wave equation, and Laplace equation,
Sturm-Liouville problems, orthogonal functions such as
Bessel functions and Legendre polynomials, and their
applications to partial differential equations, topics from
Fourier transform or calculus of variation. Prerequisites:
(1) MATH 204; and (2) MATH 205 [F - even yrs.]
MATH 420
Foundations of Geometry (5)
Axiomatic
approach to Euclidean geometry; Incidence, congruence,
similarity, separation, betweenness and continuity axioms.
Parallel postulate. introduction to non‑Euclidean
geometries. Prerequisite: MATH 300.
[W - even years]
MATH 425
Modern Mathematics for Teachers (5)
This course is
designed for both pre-service and in-service 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 - odd years]
MATH 427
Mathematics Curriculum and Instruction for Secondary
Teachers (5)
MATH 427 is
required during Stage III of the program of all candidates
for a Single Subject Secondary Teaching Credential in
Mathematics. The content is designed to acquaint the
candidates with the pedagogical techniques, philosophies,
and practices utilized by successful secondary mathematics
teachers and required by the Teaching Performance
Expectations as delineated in the Standards of Quality and
Effectiveness for Teacher Preparation Programs. The course
includes at least ten hours of field experience in a high
school or middle school mathematics classroom. This course
does not count toward a major or a minor in mathematics.
Cross-listed as EDSE 405. [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. [F]
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)
Statistical
inference; prior and posterior distributions, Bayes
estimation, maximum likelihood estimation, method of
moments; derivation of sampling distributions and their
properties; unbiased estimators, Fisher information; theory
of confidence intervals and hypothesis testing; power,
t-test and F-test; analysis of categorical data, goodness of
fit and contingency tables; inference for linear statistical
models, regression and ANOVA
Prerequisites:
MATH 340
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 student 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
Introduction to 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; the topology of the real
line; other selected topics if time allows. 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)
Students will
make presentations on, write papers about, and discuss
solutions of mathematical problems grounded in secondary
school mathematics education. The focus is mathematics with
appropriate inclusion of pedagogical ideas.
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 (5)
Students will
make presentations on, write papers about, and discuss
solutions of mathematical problems grounded in elementary
and middle school mathematics education with special
emphasis on middle school. The focus is mathematics with
appropriate inclusion of pedagogical ideas. 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.
Back to the top
Graduate Courses
Graduate courses
are listed in the “Graduate Programs” section of this
catalog.
|