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MATH 011
|
Intensive Beginning Algebra
|
|
4.0
|
FS
|
|
Prerequisites: ELM score of 32 or lower.
This non-baccalaureate course employs non-traditional teaching methods and learning strategies that have been specially designed to enhance student success in the course. Introduction to the basic properties of real numbers, variables, equations, algebraic expressions, functions and their graphs. Includes evaluation of expressions and formulas; translation from words to symbols; solutions of linear equations and inequalities; absolute value; powers and roots; solving two linear equations in two unknowns; real world applications. Satisfactory completion of this course fulfills the prerequisite for enrollment in Intermediate Algebra (MATH 012 or MATH 051). ABC/no credit grading only. 4 hours lecture. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements.
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|
MATH 012
|
Intensive Intermediate Algebra
|
|
4.0
|
FS
|
|
Prerequisites: Credit in MATH 011, faculty permission.
This non-baccalaureate course employs non-traditional teaching methods and learning strategies that have been specially designed to enhance student success in the course. Review of linear equations, inequalities, exponents, and polynomials, functions, rational expressions, rational exponents, and radicals, quadratic equations, systems of linear equations and logarithms. Satisfactory completion of this course fulfills the prerequisite for enrollment in a General Education level mathematics course. ABC/no credit grading only. 4 hours lecture. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements.
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|
MATH 031
|
Beginning Algebra
|
|
4.0
|
FS
|
|
Prerequisites: ELM score of 34-40.
Introduction to the basic properties of real numbers, variables, equations, algebraic expressions, functions and their graphs. This includes evaluation of expressions and formulas; translation from words to symbols; solutions of linear equations and inequalities; absolute value; powers and roots; solving two linear equations in two unknowns; real world applications. During the fourth week of class, an MDTP exam will be given. Students who pass will automatically be transferred to MATH 032, which meets at the same time; students who do not pass will remain enrolled in MATH 031. Satisfactory completion of this course fulfills the prerequisite for enrollment in Intermediate Algebra. ABC/no credit grading only. 2 hours lecture, 2 hours discussion. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements.
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|
MATH 032
|
Accelerated Intermediate Algebra
|
|
4.0
|
FS
|
|
Prerequisites: Successful completion of MDTP exam given in MATH 031.
This course is open only to students enrolled in MATH 031 (or in MATH 011 with instructor permission) who pass an MDTP exam during the fourth week of classes. If a student passes the exam, his or her enrollment will automatically be changed to MATH 032. The content of this course is identical with that of MATH 051. Satisfactory completion of this course fulfills the prerequisite for enrollment in a General Education level mathematics course and satisfies the ELM requirement. ABC/no credit grading only. 2 hours lecture, 2 hours discussion. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements.
|
|
MATH 051
|
Intermediate Algebra
|
|
3.0
|
FS
|
|
Prerequisites: Credit in MATH 011 or credit in MATH 031; or ELM score 42-48.
Review of linear equations, inequalities, exponents, and polynomials. Functions, rational expressions, rational exponents, and radicals, quadratic equations, systems of linear equations, and logarithms. Satisfactory completion of this course fulfills the prerequisite for enrollment in a General Education level mathematics course and satisfies the ELM requirement. ABC/no credit grading only. 2 hours lecture, 1 hour discussion. This course is designated remedial and does not count as credit toward the bachelor's degree, although the units may be applied to financial aid minimum requirements.
|
|
MATH 101
|
Patterns of Mathematical Thought
|
|
3.0
|
FS
|
GE
|
Prerequisites: Completion of ELM requirement.
An informal approach to mathematics designed to bring an appreciation and workable knowledge of the subject to non-majors. Not acceptable for a mathematics major or minor. A grade of C- or higher is required for GE credit. 2 hours lecture, 1 hour discussion. This is an approved General Education course.
|
|
MATH 101T
|
Patterns of Mathematical Thought
|
|
3.0
|
FS
|
GE
|
Prerequisites: Completion of ELM requirement.
An informal approach to Mathematics designed to bring an appreciation and workable knowledge of the subject to non-majors. Not acceptable for a mathematics major or minor. A grade of C- or higher is required for GE credit. 3 hours discussion. This is an approved General Education course.
|
|
MATH 105
|
Statistics
|
|
3.0
|
FS
|
GE
|
Prerequisites: Completion of ELM requirement.
Summary of numerical data, elementary probability, distributions, and introduction to statistical inference. A grade of C- or higher is required for GE credit. 1.5 hours lecture, 1.5 hours discussion. This is an approved General Education course.
|
|
MATH 105H
|
Statistics - Honors
|
|
3.0
|
FA
|
GE
|
Prerequisites: Completion of ELM requirement, acceptance into the Honors in General Education Program.
A special section of MATH 105 for students in the Honors in General Education Program. Summary of numerical data, elementary probability, distributions, and introduction to statistical inference. A grade of C- or higher is required for GE credit. 3 hours discussion. This is an approved General Education course.
|
|
MATH 107
|
Finite Mathematics for Business
|
|
3.0
|
FS
|
GE
|
Prerequisites: Completion of ELM requirement.
Solutions to systems of linear equations, matrices, linear programming, combinatorics, probability, binomial and normal distributions. A grade of C- or higher is required for GE credit. 1.5 hours lecture, 1.5 hours discussion. This is an approved General Education course.
|
|
MATH 108
|
Statistics of Business and Economics
|
|
3.0
|
FS
|
|
Prerequisites: For business administration students: MATH 107. For other students: completion of General Education Breadth Area A4 requirement.
Descriptive statistics, sampling theory, statistical inference and tests of hypotheses, analysis of variance, chi-square tests, simple regression and correlation, and multiple regression and correlation. MATH 108 and BADM 103 are equivalent courses and each may be substituted for the other. 3 hours lecture.
|
|
MATH 109
|
Survey of Calculus
|
|
4.0
|
FS
|
GE
|
Prerequisites: Completion of ELM requirement; MATH 118, MATH 119 (or High School equivalents).
This course covers the fundamental concepts and techniques of differential and integral calculus with an introduction to differential equations. Emphasis on applications from the Life Sciences. This course is not intended for majors in mathematics, physics, chemistry, or engineering. No credit for students with credit in MATH 120. A grade of C- or higher is required for GE credit. 4 hours discussion. This is an approved General Education course.
|
|
MATH 110
|
Concepts and Structures of Mathematics
|
|
3.0
|
FS
|
|
Prerequisites: Completion of ELM requirement.
Structure of the real number system, operations on real numbers, number theory. Not acceptable for a mathematics major or minor. 3 hours discussion.
|
|
MATH 111
|
Concepts and Structures of Mathematics
|
|
3.0
|
FS
|
|
Prerequisites: Completion of ELM requirement, one year of high school geometry.
Problem-solving, probability and statistics, measurement and the metric system, geometry. Not acceptable for a mathematics major or minor. 3 hours discussion.
|
|
MATH 115
|
MathLinks Seminar, Primary
|
|
1.0
|
FS
|
|
Prerequisites: MATH 110, concurrent enrollment in MATH 111, faculty permission.
Number sense, algebra and functions, data analysis, probability, statistics, geometry, measurement, and mathematical reasoning in primary grades classrooms. Weekly tutoring in mathematics in primary grades classrooms is a course requirement. Not acceptable for mathematics major or minor. 2 hours activity. Credit/no credit grading.
|
|
MATH 116
|
MathLinks Seminar, Intermediate
|
|
1.0
|
FS
|
|
Prerequisites: MATH 110, concurrent enrollment in MATH 111, faculty permission.
Number sense, algebra and functions, data analysis, probability, statistics, geometry, measurement, and mathematical reasoning in intermediate grades classrooms. Weekly tutoring in mathematics in intermediate grades classrooms is a course requirement. Not acceptable for a mathematics major or minor. 2 hours activity. Credit/no credit grading.
|
|
MATH 117
|
Hands-On Lab, Mathematics
|
|
2.0
|
FS
|
|
Prerequisite: MATH 110.
Corequisite: MATH 111 or permission of instructor.
The Hands-On Lab for Mathematics provides a rich, sustained, and guided teaching experience for undergraduate students preparing to be elementary or middle school teachers. By developing, refining, and repeatedly teaching a lesson aligned to California mathematics standards, prospective teachers gain insights into the complexities of teaching mathematics content. In addition, prospective teachers engage in Lesson Study with the teachers for these children, thus acquiring experience in a collegial relationship with practicing professionals. 2 hours seminar.
|
|
MATH 118
|
Trigonometry
|
|
3.0
|
FS
|
GE
|
Prerequisites: Completion of ELM requirement.
Trigonometric functions, graphs, identities and conditional equations, logarithms, solutions of triangles, and complex numbers. A grade of C- or higher is required for GE credit. 3 hours discussion. This is an approved General Education course.
|
|
MATH 119
|
Precalculus Mathematics
|
|
4.0
|
FS
|
GE
|
Prerequisites: Completion of ELM requirement, and either 1/2 year of high school trigonometry or MATH 118.
Functions and graphs, including polynomial, rational, exponential, logarithmic, and trigonometric functions. Systems of equations and inequalities, polar and parametric equations, complex numbers, and analytic trigonometry. A grade of C- or higher is required for GE credit. 4 hours discussion. This is an approved General Education course.
|
|
MATH 119X
|
Precalculus Problem Session
|
|
1.0
|
FS
|
|
Prerequisites: Faculty permission.
Corequisites: MATH 119.
Designed to supplement MATH 119 with additional applications. Provides the student with the opportunity for additional assistance in developing problem-solving abilities. 2 hours activity. Credit/no credit grading.
|
|
MATH 120
|
Analytic Geometry and Calculus
|
|
4.0
|
FS
|
GE
|
Prerequisites: Completion of ELM requirement; both MATH 118 and MATH 119 (or high school equivalent); a score that meets department guidelines on a department administered calculus readiness exam.
Limits and continuity. The derivative and applications to related rates, maxma and minima, and curve sketching. Transcendental functions. An introduction to the definite integral and area. A grade of C- or higher is required for GE credit. 4 hours discussion. This is an approved General Education course.
|
|
MATH 120X
|
Calculus Problem Session
|
|
1.0
|
FS
|
|
Prerequisites: Faculty permission.
Corequisites: MATH 120.
Designed to supplement MATH 120 with additional applications of introductory calculus. Provides the student with the opportunity for additional assistance in developing problem-solving abilities. 2 hours activity. Credit/no credit grading.
|
|
MATH 121
|
Analytic Geometry and Calculus
|
|
4.0
|
FS
|
|
Prerequisites: MATH 120.
The definite integral and applications to area, volume, work, differential equations, etc. Sequences and series, vectors and analytic geometry in 2 and 3-space, polar coordinates, and parametric equations. 4 hours discussion.
|
|
MATH 121X
|
Calculus Problem Session
|
|
1.0
|
FS
|
|
Prerequisites: Concurrent enrollment in MATH 121, faculty permission.
Designed to supplement MATH 121 with additional applications and expanded explanations of concepts encountered in second-semester calculus. Provides the student with the opportunity for additional assistance in coming to an understanding of the concepts of calculus. 2 hours activity. Credit/no credit grading.
|
|
MATH 195
|
Project MATH Seminar Year 1
|
|
1.0
|
FS
|
|
|
The Project M.A.T.H. Seminar - Year 1 is a biweekly seminar for students in their first year of Project M.A.T.H., an innovative program for students interested in becoming secondary mathematics teachers. Students work with mentor teachers, prepare and present lessons, and participate in a structured early field experience. Completion of the seminar series satisfies the Credential Program's Early Field Experience requirement. 1 hour seminar. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading.
|
|
MATH 198
|
Special Topics
|
|
1.0
-3.0
|
FS
|
|
Prerequisites: Completion of ELM requirement.
This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See The Class Schedule for the specific topic being offered. 3 hours discussion.
|
|
MATH 199
|
Special Problems
|
|
1.0
-3.0
|
FS
|
|
|
This course is an independent study of special problems offered for 1.0-3.0 units. 9 hours supervision. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading.
|
|
MATH 217
|
Discrete Mathematical Structures
|
|
3.0
|
FA
|
|
Prerequisites: Completion of ELM, MATH 119 (or equivalent), CSCI 111.
A rigorous introduction to discrete mathematical structures for computer science majors (fulfills a requirement for the minor in math). Topics include propositional and predicate calculus; basic proof methods; sets, functions, and operations with them; algorithms and their complexity; applications of number theory to computer science and computer security; matrices and matrix arithmetic; mathematical induction, recursive definitions and algorithms; combinatorics and counting techniques; relations and their representation by matrices and digraphs, applications to databases; equivalence relations and partitions of sets; partially ordered sets, lattices, and Boolean algebras; Boolean functions and circuits; graphs, trees, and their applications; formal languages and grammars; finite-state automata and language recognition, regular languages. 3 hours discussion.
|
|
MATH 220
|
Analytic Geometry and Calculus
|
|
4.0
|
FS
|
|
Prerequisites: MATH 121.
Vector functions and space curves. Functions of several variables, partial derivatives, and multiple integrals. Vector calculus line integrals, surface integrals, divergence/curl, Green's Theorem, Divergence Theorem, and Stokes' Theorem. 4 hours discussion.
|
|
MATH 220X
|
Calculus Problem Session
|
|
1.0
|
FS
|
|
Corequisites: MATH 220.
Designed to supplement MATH 220 with broader and deeper applications of calculus, providing students with opportunities for additional problem-solving skill building. Twenty hours activity minimum for credit, but 40 hours are available to students. 2 hours activity. Credit/no credit grading.
|
|
MATH 230
|
An Introduction to Computational Mathematics
|
|
3.0
|
SP
|
|
Prerequisites: MATH 121, no previous computer experience required.
An introduction to the use of mathematical computer software. This course provides an introduction to a programming environment, preparing math majors to use computers to explore and solve varied math problems. The software used in this class depends on the instructor and may be chosen from Mathematica, GP/PARI, GAP, SAS, R, etc. This course satisfies the computer literacy requirement for mathematics majors. 3 hours discussion. You may take this course more than once for a maximum of 9.0 units.
|
|
MATH 235
|
Elementary Linear Algebra
|
|
3.0
|
FS
|
|
Prerequisites: MATH 121.
Matrices, determinants, cartesian n-space (basis and dimension of a subspace, rank, change of basis), linear transformations, eigenvalues. Numerical problems will be emphasized. 3 hours discussion.
|
|
MATH 241
|
Secondary Math Early Field Experience
|
|
1.0
|
FS
|
|
|
This seminar and the associated CAVE field experience give prospective teachers early exposure to issues relevant to the profession of teaching secondary mathematics. In particular, the experience helps these future teachers develop a deeper understanding of the K-12 mathematics curriculum, understand connections between their university subject matter preparation and K-12 academic content, and reflect on developmental and social factors that affect K-12 students' learning of mathematics. 1 hour seminar. You may take this course more than once for a maximum of 4.0 units. Credit/no credit grading.
|
|
MATH 260
|
Elementary Differential Equations
|
|
4.0
|
FS
|
|
Prerequisites: MATH 121.
First order separable, linear, and exact equations; second order linear equations, Laplace transforms, series solutions at an ordinary point, systems of first order linear equations, and applications. 4 hours discussion.
|
|
MATH 260X
|
Elementary Differential Equations Problem Session
|
|
1.0
|
FS
|
|
Corequisites: MATH 260.
Designed to supplement MATH 260 with broader and deeper applications of differential equations, providing the student with opportunities for additional problem-solving skills. A minimum of 20 hours of activity are required to earn credit for the class; forty hours are available. 2 hours activity. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading.
|
|
MATH 290
|
Mathematics and Statistics Tutoring
|
|
1.0
|
FS
|
|
Corequisites: Concurrent enrollment in a course offered through the Dept of Mathematics & Statistics at CSU, Chico.
This course provides supplemental mathematics & statistics tutoring. 3 hours independent study. You may take this course more than once for a maximum of 8.0 units. Credit/no credit grading.
|
|
MATH 295
|
Project MATH Seminar Year 2
|
|
1.0
|
FS
|
|
Prerequisite: MATH 195.
The Project M.A.T.H. Seminar - Year 2 is the continuation of a biweekly seminar for students in Project M.A.T.H., an innovative program for students interested in becoming secondary mathematics teachers. Students work with mentor teachers, prepare and present lessons, and participate in a structured early field experience. They also take on a leadership role in the seminar. Completion of the seminar series satisfies the Credential Program's Early Field Experience requirement. 1 hour seminar. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading.
|
|
MATH 302
|
Science and Strategy in War and Peace
|
|
3.0
|
SP
|
GE
|
Prerequisites: Completion of the General Education Breadth Area A4 requirement, Mathematical Concepts.
The study of the scientific and strategic principles underlying war and peace in the 21st Century. Concepts from the physical sciences. The strategic theories of Sun Tzu and Clausewitz. Warfare in the 20th Century, especially the development and effects of nuclear weapons. The world after Sept. 11, 2001. This course cannot be used for credit toward a mathematics major or minor, a mathematics emphasis under the Liberal Studies major, or any credential. 3 hours lecture. This is an approved General Education course.
|
|
MATH 304
|
Statistical Tests for Inequalities
|
|
3.0
|
FS
|
GE
|
Prerequisites: Completion of General Education Breadth Area A4 requirement.
The study of statistical principles. Descriptive statistics, regression analysis, sampling theory, statistical inference for population means and proportions. Economic systems. Ideologies related to economic systems. Quantitative and statistical measures of economic inequality, including the Gini index, Lorenz curve, Income Disparity Index, and the Kuznets curve. Applications to social and economic inequality. This course may not be used to fulfill requirements for a major or minor in mathematics. 3 hours lecture. This is an approved General Education course.
|
|
MATH 305
|
Conceptual and Practical Statistics
|
|
3.0
|
SP
|
|
Prerequisites: MATH 120 or MATH 109 (may be taken concurrently).
Design of statistical experiments, graphing, sampling techniques, probability, and common probability distributions will be discussed, with an emphasis on practical applications. Uses and misuses of statistics, misrepresentation of data, and proper and improper statistical analyses will be discussed. 3 hours discussion.
|
|
MATH 310
|
Patterns and Structures in Mathematics
|
|
3.0
|
FS
|
|
Prerequisites: MATH 110, MATH 111.
An intuitive investigation into mathematics to find recurrent themes. Problem-solving techniques and a search for patterns will be used throughout a discussion of topics such as modular arithmetic, complex numbers, mathematical sequences and their applications. Not acceptable for a mathematics major or minor. 3 hours discussion.
|
|
MATH 311
|
Intuitive Foundations of Geometry
|
|
3.0
|
FS
|
|
Prerequisites: MATH 110, MATH 111.
An intuitive approach to problem-solving in coordinate geometry, motion geometry, and space geometry. Concrete models will be used for analyzing abstract ideas. Not acceptable for a mathematics major or minor. 3 hours discussion.
|
|
MATH 314
|
Probability and Statistics for Science and Technology
|
|
4.0
|
SP
|
|
Prerequisites: MATH 121.
Basic concepts of probability and statistics with emphasis on models used in science and technology. Probability models for statistical estimation and hypothesis testing. Confidence limits. One- and two-sample inference, simple regression, one- and two-way analysis of variance. Credit cannot be received for both MATH 350 and MATH 314. 4 hours discussion.
|
|
MATH 315
|
Applied Statistical Methods I
|
|
3.0
|
FA
|
|
Prerequisites: Completion of ELM requirement. Introduction to common procedures used to analyze data.
Single and two sample inference, analysis of variance, mulitple regression, analysis of co-variance, experimental design, repeated measures, nonparametric procedures, and categorical data analysis. Examples are drawn from biology and related disciplines. Statistical packages are introduced. Appropriate for biology, agriculture, nutrition, psychology, social science and other majors. 3 hours discussion.
|
|
MATH 330
|
Methods of Proof
|
|
3.0
|
FS
|
|
Prerequisites: MATH 121.
A survey of elementary principles of logic, emphasizing the nature of proof. Standard methods of proof will be illustrated with examples from various branches of mathematics, including set theory and the theory of functions and relations. Other possible sources of examples include the calculus, number theory, theory of equations, topology of the real line. 3 hours seminar.
|
|
MATH 333
|
History of Mathematics
|
|
3.0
|
SP
|
|
Prerequisites: MATH 220 and at least one upper-division mathematics course.
MATH 330 is recommended. Study of the historical development of mathematics, with particular emphasis on the relationship between mathematics and society. 3 hours discussion.
|
|
MATH 337
|
Introduction to the Theory of Numbers
|
|
3.0
|
FA
|
|
Prerequisites: MATH 121, MATH 330.
Basic properties of the integers, division algorithm, fundamental theorem of arithmetic, number-theoretic functions, Diophantine equations, congruences, quadratic residues, continued fractions. 3 hours discussion.
|
|
MATH 341
|
Mathematical Topics for the Credential
|
|
3.0
|
FA
|
|
Prerequisites: MATH 121.
This course is designed to supplement the mathematical background of the candidate for the single subject credential in mathematics. The mathematical topics will be discussed from the student's and the teacher's points of view to aid the candidate in making the transition to secondary school mathematics. Topics include mathematical problem-solving, conceptual ideas using algebra, geometry, and functions, incorporating technology into the mathematics curriculum, and finite systems. 3 hours seminar.
|
|
MATH 342
|
Math Topics for the Credential
|
|
3.0
|
SP
|
|
Prerequisites: MATH 341.
This course focuses on having students examine mathematical pedagogy and the understanding and evaluations of students as mathematical learners as it analyzes secondary mathematics curriculum from an advanced standpoint. Students will have opportunities to be involved in the facilitation of mathematical learning. Topics include: history of mathematics education, contemporary mathematics curricula, problem solving, mathematical reasoning and methods of proof, mathematical learning theories, communication, assessment and collaborative learning communities. 3 hours discussion.
|
|
MATH 344
|
Combinatorial Mathematics and Graph Theory
|
|
3.0
|
FA
|
|
Prerequisites: MATH 121, MATH 330.
The analysis of mathematical and applied problems through the use of permutations and combinations, generating functions and recurrence relations. Directed graphs, trees, connectivity, and duality. 3 hours discussion.
|
|
MATH 346
|
College Geometry
|
|
3.0
|
SP
|
|
Prerequisites: MATH 220, MATH 330.
An exploration of axioms and models for Euclidean and non-Euclidean geometries focusing on the independence of the Parallel Postulate. Additional topics will be chosen from Euclidean plane geometry, transformation geometry, and the geometry of polyhedra. 3 hours discussion.
|
|
MATH 350
|
Introduction to Probability and Statistics
|
|
3.0
|
FA
|
|
Prerequisites: MATH 121.
Basic concepts of probability theory, random variables and their distributions, limit theorems, sampling theory, topics in statistical inference, regression, and correlation. 3 hours discussion.
|
|
MATH 351
|
Introduction to Probability and Statistics
|
|
3.0
|
SP
|
|
Prerequisites: MATH 350.
Continuation of MATH 350. 3 hours discussion.
|
|
MATH 360
|
Ordinary Differential Equations
|
|
3.0
|
SP
|
|
Prerequisites: MATH 260.
Systems of first order linear equations, existence and uniqueness theorems, stability, Sturm separation theorems, power series methods. 3 hours discussion.
|
|
MATH 361
|
Boundary Value Problems and Partial Differential Equations
|
|
3.0
|
FA
|
|
Prerequisites: MATH 260.
Partial differential equations, separation of variables, orthogonal sets of functions, Sturm-Liouville problems, Fourier series, boundary value problems for the wave equation, heat equation, and Laplace equation; Bessel functions, Legendre polynomials. 3 hours discussion.
|
|
MATH 398
|
Special Topics in Math
|
|
1.0
-3.0
|
FS
|
|
Prerequisites: At least one 100- or 200-level mathematics course appropriate to the subject, faculty permission.
This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See the Class Schedule for the specific topic being offered. 9 hours supervision.
|
|
MATH 399
|
Special Problems
|
|
1.0
-3.0
|
FS
|
|
|
This course is an independent study of special problems offered for 1.0-3.0 units. You must register directly with a supervising faculty member. MATH 399 cannot be used to fulfill major requirements without prior approval of the advisor and department chair. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading.
|
|
MATH 401
|
CMP Institute - Summer 1
|
|
2.0
|
SM
|
|
|
2 hours discussion. You may take this course more than once for a maximum of 4.0 units.
|
|
MATH 403
|
Math Project Implementation
|
|
1.0
|
SX
|
|
|
1 hour discussion. Credit/no credit grading.
|
|
MATH 405
|
Cmp Institute-Sp
|
|
1.0
|
SP
|
|
|
1 hour lecture. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading.
|
|
MATH 407
|
CMP Institute - Summer 2
|
|
1.0
|
SM
|
|
|
1 hour discussion. You may take this course more than once for a maximum of 2.0 units.
|
|
MATH 420
|
Advanced Calculus
|
|
3.0
|
FS
|
GW
|
Prerequisites: ENGL 130 (or its equivalent) with a grade of C- or higher, MATH 220, MATH 330, upper-division standing.
Limits, continuity, uniform continuity, the definite integral, series, convergence, uniform convergence, and metric spaces. Differentiation and integration of functions of several variables. Transformation of multiple integrals. 3 hours discussion. This is an approved Graduation Writing Assessment Requirement course; a grade of C- or higher certifies writing proficiency for majors.
|
|
MATH 421
|
Advanced Calculus
|
|
3.0
|
SP
|
|
Prerequisites: MATH 420.
Continuation of MATH 420. 3 hours discussion.
|
|
MATH 426
|
Projective Geometry
|
|
3.0
|
INQ
|
|
Prerequisites: MATH 220, MATH 330.
Axiomatic geometry of the projective plane. Duality, collineations, correlations, polarities, and conics. 3 hours discussion.
|
|
MATH 428
|
Differential Geometry
|
|
3.0
|
INQ
|
|
Prerequisites: MATH 220, MATH 330.
The geometry of curves and surfaces in Euclidean 3-space. 3 hours discussion.
|
|
MATH 435
|
Linear Algebra
|
|
3.0
|
FA
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Prerequisites: MATH 220, MATH 330, MATH 335.
Vector spaces, linear operators, bilinear forms and scalar products, unitary spaces; matrix polynomials, eigenvalues, and Jordan normal form. 3 hours discussion.
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MATH 437
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Topology
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3.0
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S2
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Prerequisites: MATH 220, MATH 330.
Metric spaces, continuous functions, homeomorphisms, separation, and covering axioms, connectedness. 3 hours discussion.
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MATH 441
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Math Topics for the Credential
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4.0
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FS
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Prerequisites: MATH 342.
Corequisites: Assignment as a Mathematics Department intern.
Supervised internship in teaching mathematics with accompanying seminar. Guidance in facilitation of mathematical learning. Topics include contemporary mathematics curriculum topics, mathematical learning theories, communication, and assessment. 3 hours seminar, 3 hours supervision. You may take this course more than once for a maximum of 8.0 units. Credit/no credit grading.
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MATH 442
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Mathematics and the Teaching of Mathematics
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3.0
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FA
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Prerequisites: MATH 342.
Completes a three course series, started with two semesters of Mathematics for the Credential, MATH 341 and MATH 342. Students compare instructional strategies and explore the role content and pedagogical content knowledge has in these strategies. Central to the class is a lesson study project which entails a cycle of lesson development, implementation, reflection and revision, and implementation again. Students concurrently enrolled in EDTE 535A, Teaching Practicum I for Blended Math Candidates, are able to implement their lesson as part of the practicum, and have a real context for the full content of the course. 3 hours lecture.
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MATH 449
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Modern Algebra
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3.0
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SP
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Prerequisites: MATH 220, MATH 235, MATH 330.
Introduction to basic algebraic structures such as groups, ring, and fields. The fundamental concepts of homomorphism, subgroup, normal subgroup and factor group of a group as well as subring, ideal and factor ring of a ring; permutation groups and matrix groups. 3 hours discussion.
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MATH 450
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Mathematical Statistics
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3.0
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FA
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Prerequisites: MATH 220, MATH 330, MATH 351.
A rigorous theoretical treatment of the following topics: transformations of random variables, estimation, Neyman-Pearson hypothesis testing, likelihood ratio tests, and Bayesian statistics. 3 hours discussion.
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MATH 456
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Applied Statistical Methods II
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3.0
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S2
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Prerequisites: MATH 315.
Advanced topics in applied statistics including multiple regression, multivariate methods, nonparametrics, analysis of covariance, bootstrap methods and others as appropriate. Statistical computer packages are introduced and used. Appropriate for biology, agriculture, nutrition, business, psychology, social science and other maojrs. 3 hours discussion.
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MATH 458
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Sampling Methods
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3.0
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S1
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Prerequisites: One course chosen from MATH 105, MATH 305, MATH 350, or MATH 315.
The theory and application of survey sampling techniques. Topics include simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Appropriate for mathematics, computer science, psychology, social science, agriculture, biology, and other majors. 3 hours discussion.
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MATH 460
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Numerical Analysis
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3.0
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INQ
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Prerequisites: MATH 220, MATH 335, completion of the computer literacy requirement.
Error analysis; numerical solution of algebraic and transcendental equations; systems of linear and non-linear equations; matrix inversion; matrix eigenvalues and eigenvectors. 3 hours discussion.
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MATH 461
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Numerical Analysis
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3.0
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SP
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Prerequisites: MATH 260 (may be taken concurrently), MATH 335, completion of the computer literacy requirement. MATH 460 is not a prerequisite for MATH 461.
Approximation; numerical integration; numerical solution of ordinary and partial differential equations; interpolation and extrapolation. 3 hours discussion.
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MATH 465
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Introduction to Complex Variables
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3.0
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FA
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Prerequisites: MATH 220.
Algebra of Complex Numbers, Cauchy-Riemann Equations, the exponential, trigonometric, and logarithmic functions, complex integration and Cauchy integral formula, Taylor and Laurent series, the residue theorem, conformal mapping, and applications. 3 hours discussion.
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MATH 472
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Introduction to Chaotic Dynamical Systems
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3.0
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F1
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Prerequisites: MATH 260; MATH 360 and MATH 335 are recommended.
An introduction to the study of non-linear dynamical systems. Both discrete and continuous systems will be studied using classical analysis combined with geometric techniques and computer simulation. Areas of application include fractal geometry, coding theory, fluid turbulence, population fluctuation, and chaotic vibrations of structures and circuits. 3 hours discussion.
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MATH 475
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Calculus of Variations
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3.0
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F2
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Prerequisites: MATH 260; MATH 361 is recommended.
Classical problems in the calculus of variations. Euler-Lagrange equations. Isoperimetric problems, Fermat's principle. Lagrangian and Hamiltonian mechanics of particles. Two independent variables. Applications to physics and engineering. 3 hours discussion.
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MATH 480
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Mathematical Modeling
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3.0
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SP
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Prerequisites: MATH 260, MATH 335.
The translation of real world phenomena into mathematical language. Possible applications include population and competing species models, mathematical theories of war, traffic flow, river pollution, water waves and tidal dynamics, probabilistic and simulation models. 3 hours discussion.
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MATH 495H
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Honors Reading Course
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3.0
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FS
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Prerequisites: Admission to the Department Honors Program, completion of MATH 420 with a grade of B or higher.
Directed reading in an advanced topic under the guidance of an Honors thesis supervisor. The course exceeds the usual level of difficulty associated with undergraduate work. It provides the background necessary to write an Honors thesis. 9 hours supervision.
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MATH 498
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Advanced Topics in Mathematics
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1.0
-3.0
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FS
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Prerequisites: At least one 300- or 400-level mathematics course appropriate to the subject, faculty permission.
This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See the Class Schedule for the specific topic being offered. 3 hours supervision.
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MATH 499
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Special Problems
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1.0
-3.0
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FS
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Prerequisites: Faculty permission.
This course is an independent study of special problems offered for 1.0-3.0 units. You must register directly with a supervising faculty member. 3 hours supervision. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading.
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MATH 499H
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Honors Thesis
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3.0
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FS
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Prerequisites: Completion of MATH 495H with a grade of B or higher, and approval by the department Honors advisor and thesis supervisor of the proposed thesis topic.
Preparation of written thesis in mathematics under supervision of Honors thesis advisor. The thesis, based on studies begun in MATH 495H, will require original work beyond that normally required in undergraduate work. Completed written thesis must be approved by the thesis supervisor and Honors advisor. A summary of the thesis will be presented by the student in public lecture. Successful completion of MATH 495H and MATH 499H is one of the requirements for being designated as an Honors graduate in mathematics. 9 hours supervision.
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MATH 610
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Topics in Mathematics for Secondary Teachers: Analysis
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3.0
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INQ
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Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore analysis topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of analysis. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 615
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Statistical Methods for Graduate Research
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3.0
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FA
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Prerequisites: MATH 105, MATH 350, MATH 315, or MATH 305 (only one is required).
Introduction to common procedures used to analyze data. Single and two-sample inference, analysis of variance, multiple regression, analysis of co-variance, experimental design, repeated measures, nonparametric procedures, and categorical data analysis. Examples will be drawn from Biology and related disciplines. Statistical computer packages will be introduced. Appropriate for biology, agriculture, nutrition, psychology, social science, and other majors. 3 hours discussion.
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MATH 620
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Topics in Mathematics for Secondary Teachers: Geometry
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3.0
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INQ
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Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore geometry appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of geometry. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 630
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Topics in Mathematics for Secondary Teachers: Foundations of Mathematics
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3.0
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INQ
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Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore the foundations of mathematics topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of the foundations of mathematics. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 633
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Topics in Mathematics for Secondary Teachers: Number Theory
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3.0
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INQ
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Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore number theory appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of number theory. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 635
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Topics in Mathematics for Secondary Teachers: Discrete Mathematics
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3.0
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INQ
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|
Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore discrete mathematics topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of discrete mathematics. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 637
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Topics in Mathematics for Secondary Teachers: History of Mathematics
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3.0
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INQ
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Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore the history of mathematics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of the history of mathematics. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 640
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Topics in Mathematics for Secondary Teachers: Modern Algebra
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3.0
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INQ
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Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore modern algebra topics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of modern algebra. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 650
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Topics in Mathematics for Secondary Teachers: Probability and Statistics
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3.0
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INQ
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|
Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore probability and statistics appropriate for the secondary school curriculum. These topics and strategies provide a basis for reflective analysis and deepening knowledge of probability and statistics. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 660
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Topics in Mathematics for Secondary Teachers: Mathematical Modeling
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3.0
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INQ
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Prerequisites: Admission to the master's program in mathematics education or instructor permission.
Through an array of pedagogical strategies, secondary mathematics teachers explore mathematical modeling appropriate for the seconday school curriculum. These topics and strategies provide a basis for the reflective analysis and deepening knowledge of mathematical modeling. 3 hours seminar. You may take this course more than once for a maximum of 6.0 units.
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MATH 697
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Independent Study
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1.0
-3.0
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FS
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This course is a graduate-level independent study offered for 1.0-3.0 units. You must register directly with a supervising faculty member. 3 hours supervision. You may take this course more than once for a maximum of 6.0 units.
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MATH 698
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Grad Advanced Topics in Math
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1.0
-3.0
|
FS
|
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This course is for special topics offered for 1.0-3.0 units. Typically the topic is offered on a one-time-only basis and may vary from term to term and be different for different sections. See the Class Schedule for the specific topic being offered. 9 hours supervision.
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MATH 699P
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Master's Project
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1.0
-3.0
|
FS
|
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This course is offered for 1.0-6.0 units. You must register directly with a supervising faculty member. 9 hours supervision. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading.
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MATH 699T
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Master's Study
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1.0
-3.0
|
FS
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|
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This course is offered for 1.0-6.0 units. You must register directly with a supervising faculty member. 9 hours supervision. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading.
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