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MATH 005L
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Foundational Mathematics B
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1.0
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FS
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|
Prerequisite: Credit in Math 031 or GE Math Ready with Support.
Corequisite: MATH 105.
Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for Math Ready with Support students required to enroll in designated general education courses. 3 hours laboratory. 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 007L
|
Foundational Mathematics B
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1.0
|
FS
|
|
Prerequisite: Credit in Math 031 or GE Math Ready with Support.
Corequisite: MATH 107.
Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for Math Ready with Support students required to enroll in designated general education courses. 3 hours laboratory. 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 010L
|
Foundational Mathematics B
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|
1.0
|
FS
|
|
Prerequisite: Credit in Math 031 or GE Math Ready with Support.
Corequisite: MATH 110.
Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for Math Ready with Support students required to enroll in designated general education courses. 3 hours laboratory. 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 011
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Intensive Beginning Algebra
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4.0
|
FA
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|
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
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Intensive Intermediate Algebra
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4.0
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SP
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|
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 016L
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Foundational Mathematics B
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|
1.0
|
FS
|
|
Prerequisite: Credit in Math 031 or GE Math Ready with Support.
Corequisite: MATH 116.
Foundational level California Common Core State Standards mathematics topics in support of general education mathematics. This course is a supplemental requirement for Math Ready with Support students required to enroll in designated general education courses. 3 hours laboratory. 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 031B
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Foundational Mathematics A
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1.0
|
FS
|
|
Prerequisite: GE Math Ready with Support and Early Start Program.
Corequisite: BIOL 102.
Foundational level California Common Core State Standards mathematics topics. Satisfactory completion of this course fulfills the prerequisite for enrollment in Math 005L, MATH 007L, MATH 010L, and MATH 016L. This course is a supplemental requirement for Math Ready with Support, Early Start Program Required students required to enroll in designated general education courses. 3 hours laboratory.
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MATH 031G
|
Foundational Mathematics A
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1.0
|
FS
|
|
Prerequisite: GE Math Ready with Support and Early Start Program.
Corequisite: GEOS 101.
Foundational level California Common Core State Standards mathematics topics. Satisfactory completion of this course fulfills the prerequisite for enrollment in Math 005L, MATH 007L, MATH 010L, and MATH 016L. This course is a supplemental requirement for Math Ready with Support, Early Start Program Required students required to enroll in designated general education courses. 3 hours laboratory.
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MATH 031N
|
Foundational Mathematics A
|
|
1.0
|
FS
|
|
Prerequisite: GE Math Ready with Support and Early Start Program.
Corequisite: SCED 101.
Foundational level California Common Core State Standards mathematics topics. Satisfactory completion of this course fulfills the prerequisite for enrollment in Math 005L, MATH 007L, MATH 010L, and MATH 016L. This course is a supplemental requirement for Math Ready with Support, Early Start Program Required students required to enroll in designated general education courses. 3 hours laboratory.
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MATH 031P
|
Foundational Mathematics A
|
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1.0
|
FS
|
|
Prerequisite: GE Math Ready with Support and Early Start Program.
Corequisite: PSSC 101.
Foundational level California Common Core State Standards mathematics topics. Satisfactory completion of this course fulfills the prerequisite for enrollment in Math 005L, MATH 007L, MATH 010L, and MATH 016L. This course is a supplemental requirement for Math Ready with Support, Early Start Program Required students required to enroll in designated general education courses. 3 hours laboratory.
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MATH 032
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Accelerated Intermediate Algebra
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|
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.
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MATH 101
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Patterns of Mathematical Thought
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3.0
|
FS
|
GE
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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. 2 hours lecture, 1 hour discussion. This is an approved General Education course.
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MATH 105
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Introduction to Statistics
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3.0
|
FS
|
GE
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
Summary of numerical data, distributions, linear regression, and introduction to statistical inference. Statistical software is used. 1.5 hours lecture, 1.5 hours discussion. This is an approved General Education course.
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MATH 107
|
Finite Mathematics for Business
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3.0
|
FS
|
GE
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
Solutions to systems of linear equations, matrices, linear programming, combinatorics, probability, binomial and normal distributions. 1.5 hours lecture, 1.5 hours discussion. This is an approved General Education course.
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MATH 108
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Statistics of Business and Economics
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3.0
|
FS
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GE
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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. 1.5 hours lecture, 1.5 hours discussion. This is an approved General Education course.
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MATH 109
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Survey of Calculus
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4.0
|
FS
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GE
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Prerequisites: GE Mathematics/Quantitative Reasoning Ready; 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 score that meets department guidelines on a department administered calculus readiness exam must be achieved by those who claim high school equivalence. 4 hours discussion. This is an approved General Education course.
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MATH 109X
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Survey of Calculus Problem Solving Session
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1.0
|
FS
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|
Corequisite: MATH 109.
This is a 1-unit supplement to Survey of Calculus, MATH 109. This is structured as a workshop designed to complement MATH 109 students with broader and deeper applications of calculus, providing students with opportunities for additional problem-solving and skill-building in a student-centered collaborative environment. 3 hours independent study. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading.
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MATH 110
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Concepts and Structures of Mathematics
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3.0
|
FS
|
GE
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
Structure of the real number system, operations on real numbers, number theory. Not acceptable for a mathematics major or minor. 3 hours discussion. This is an approved General Education course.
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MATH 116
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College Algebra
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4.0
|
FS
|
GE
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
This course covers advanced algebra concepts beyond the scope of Intermediate Algebra. The topics include algebraic simplifying, conics, theory and solution of equations and inequalities, systems of equations, linear functions, exponential and logarithmic functions, polynomial and rational functions, binomial expansion, and partial fractions. 4 hours lecture. This is an approved General Education course.
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MATH 117
|
Hands-On Lab, Mathematics
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2.0
|
FS
|
|
Prerequisite: MATH 110.
Corequisite: MATH 210 or faculty permission.
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. You may take this course more than once for a maximum of 4.0 units.
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MATH 118
|
Trigonometry
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3.0
|
FS
|
GE
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
Trigonometric functions, graphs, identities and conditional equations, logarithms, solutions of triangles, and complex numbers. 3 hours discussion. This is an approved General Education course.
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|
MATH 119
|
Precalculus Mathematics
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|
4.0
|
FS
|
GE
|
Prerequisites: GE Mathematics/Quantitative Reasoning Ready, and either 1/2 year of high school trigonometry or MATH 118 (may be taken concurrently).
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. 4 hours discussion. This is an approved General Education course.
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MATH 119X
|
Precalculus Problem Session
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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. 3 hours independent study. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading.
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|
MATH 120
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Analytic Geometry and Calculus
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|
4.0
|
FS
|
GE
|
Prerequisites: GE Mathematics/Quantitative Reasoning Ready; both MATH 118 and MATH 119 (or college equivalent); first-year freshmen who successfully completed trigonometry and precalculus in high school can meet this prerequisite by achieving 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. 4 hours discussion. This is an approved General Education course.
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MATH 120X
|
Calculus Problem Session
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|
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. 3 hours independent study. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading.
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MATH 121
|
Analytic Geometry and Calculus
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|
4.0
|
FS
|
|
Prerequisite: 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.
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MATH 121X
|
Calculus Problem Session
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|
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. 3 hours independent study. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading.
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|
MATH 125
|
Advanced Number and Operation
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|
3.0
|
FA
|
|
Prerequisite: Successful completion of high school precalculus, concurrent enrollment in MATH 118 or 119, or faculty permission.
Investigate number and operation through calculation and abstraction, find patterns and relationships through computation, develop and test mathematical conjectures, and develop an appreciation of proof and an ability to make mathematical arguments. Basic concepts from Number Theory are explored, culminating in proof of the Fundamental Theorem of Arithmetic and related theorems in other number sets. 3 hours discussion.
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|
MATH 130
|
Introduction to R
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1.0
|
FS
|
|
|
This accelerated short-course is designed as a primer to get the complete novice up and running with the basic knowledge of how to use the statistical programming language R. Target audience is anyone who wants to become the boss of their own data and conduct their own analysis. We cover how to get data into R, how to manipulate it into analyzable format, and how to create informative plots. Emphasis is placed on reproducibility and literate programming. The course culminates with a data exploration project. This course requires the use of a laptop computer and appropriate software. Typically offered as 3 hour discussion for 5 weeks. 1 hour discussion. You may take this course more than once for a maximum of 2.0 units. This course requires the use of a laptop computer and appropriate software. Credit/no credit grading.
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|
MATH 195
|
Project MATH Seminar Year 1
|
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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.
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MATH 198
|
Special Topics
|
|
1.0
-3.0
|
FS
|
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
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.
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|
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.
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|
MATH 210
|
Concepts and Structures of Mathematics
|
|
3.0
|
FS
|
|
Prerequisite: MATH 110.
Problem-solving, probability and statistics, measurement and the metric system, geometry. Not acceptable for a mathematics major or minor. 3 hours discussion.
|
|
MATH 217
|
Discrete Mathematics
|
|
3.0
|
FS
|
|
Prerequisites: GE Mathematics/Quantitative Reasoning Ready, CSCI 111 with a grade of C or higher (may be taken concurrently), MATH 119 (or equivalent).
This course is also offered as
CSCI 217.
Offers an intensive introduction to discrete mathematics as used in computer science. Topics include sets, relations, propositional and predicate logic, basic proof methods including mathematical induction, digital logic circuits, complexity of algorithms, elementary combinatorics, and solving linear recurrence relations. 3 hours discussion.
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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. 3 hours independent study. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading.
|
|
MATH 225
|
Algebra Functions, Real and Complex Number Systems
|
|
3.0
|
SP
|
|
Prerequisite: MATH 125.
This course focuses on developing your abilities in making sense of algebraic manipulation in the context of functions, polynomial rings, and matrices. The course and the classroom are structured as a supportive, collaborative learning environment in which mathematical discourse is valued and exploration encouraged. You will investigate algebra and polynomials through calculation and abstraction, find patterns and relationships through computation, develop and test mathematical conjectures, and develop an appreciation of proof and an ability to construct mathematical arguments. More advanced concepts from Number Theory are explored, culminating in proofs of the Unique Prime Factorization Theorem and the Division Algorithm for different rings. 3 hours discussion.
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|
MATH 230
|
An Introduction to Computational Mathematics
|
|
3.0
|
FA
|
|
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.
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|
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.
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|
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.
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|
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. 3 hours independent study. You may take this course more than once for a maximum of 3.0 units. Credit/no credit grading.
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|
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.
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|
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.
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|
MATH 298
|
Special Topics
|
|
1.0
-3.0
|
INQ
|
|
|
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 semester to semester and be different for different sections. See the class schedule for the specific topic being offered.
|
|
MATH 299
|
Special Problems
|
|
1.0
-3.0
|
INQ
|
|
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. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading.
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|
MATH 300
|
Undergraduate Mathematics Seminar
|
|
2.0
|
FS
|
|
Prerequisite: GE Mathematics/Quantitative Reasoning Ready.
This course is designed to expose you to mathematics not normally covered in your regular curriculum. Guest speakers are drawn from the ranks of our faculty, including other disciplines, our students, and industry. Talks are interactive, participatory, and fun. There is no prerequisite, except an interest in interesting mathematics. Topics typically include selections from number theory, math education, statistics, problem solving, undergraduate research, calculus, differential equations, spatial and planar geometry, probability, computer applications, mathematical operations, modeling, topology, trigonometry, metric measurements, elliptical curves, and bubbles, among others. This exposure broadens your horizons and expands your curiosity in hopes that you will explore mathematics beyond your required courses. 2 hours lecture. You may take this course more than once for a maximum of 8.0 units. Credit/no credit grading.
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|
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.
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|
MATH 310
|
Patterns and Structures in Mathematics
|
|
3.0
|
FS
|
|
Prerequisites: MATH 110; MATH 210 or MATH 225.
Builds upon student's understanding of numbers and operations to develop their algebraic and proportional reasoning. Probability viewed as an application of proportional reasoning. Foundational statistics is also covered. Overall focus on developing a deep understanding of mathematics that is relevant to the teaching of Kindergarten-8th grade. Not acceptable for a mathematics major or minor except the Foundational Math Education option and Math Education minor. 3 hours discussion.
|
|
MATH 311
|
Intuitive Foundations of Geometry
|
|
3.0
|
S1
|
|
Prerequisites: MATH 110, MATH 210; or MATH 225.
An intuitive approach to problem-solving in Euclidean, coordinate, motion, and space geometry. Concrete models are used for analyzing abstract ideas. Not acceptable for a mathematics major or minor other than the Math Education minor. 3 hours discussion.
|
|
MATH 314
|
Probability and Statistics for Science and Technology
|
|
4.0
|
FS
|
|
Prerequisites: MATH 121; and one of the following: CINS 110, CSCI 111, MATH 130 (may be taken concurrently), MATH 230 or MECH 208.
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 314 and MATH 315. 4 hours discussion. This course requires the use of a laptop computer and appropriate software.
|
|
MATH 315
|
Applied Statistical Methods I
|
|
3.0
|
FS
|
|
Prerequisite: MATH 105, MATH 109, or MATH 120, or faculty permission.
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 are drawn from biology and related disciplines. The statistical programming language R is used. Appropriate for biology, agriculture, nutrition, psychology, social science and other majors. 3 hours discussion.
|
|
MATH 317
|
Cryptography
|
|
4.0
|
SP
|
|
Prerequisites: CSCI 111; MATH 217 or MATH 330.
This is the first course in cryptography with an emphasis on public key cryptosystems, digital signature schemes, and the underlying mathematical principles on which they are based. Students implement algorithms and solve problems in programming-based assignments. Some time is devoted to getting familiar with the Python programming language and the SageMath Software system. 4 hours discussion.
|
|
MATH 330W
|
Methods of Proof (W)
|
|
3.0
|
FS
|
W
|
Prerequisites: GE Written Communication (A2) requirement and 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. This is an approved Writing Course.
|
|
MATH 333
|
History of Mathematics
|
|
3.0
|
SP
|
|
Prerequisites: MATH 121; MATH 220 or MATH 225; 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 or MATH 225.
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.
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|
MATH 344
|
Graph Theory
|
|
3.0
|
S1
|
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Prerequisites: MATH 121; CSCI 217, MATH 217, or MATH 330.
An introduction to graph theory and network theory. Directed graphs, trees, connectivity, duality, coloring, and planarity are studied both from a theoretical perspective as well as with respect to efficient algorithms. 3 hours discussion.
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MATH 346
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College Geometry
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3.0
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SP
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|
Prerequisites: MATH 220 or MATH 225; 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.
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MATH 350
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Introduction to Probability and Statistics
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3.0
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FS
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|
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.
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MATH 351
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Introduction to Probability and Statistics
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3.0
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SP
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|
Prerequisites: MATH 350.
Continuation of MATH 350. 3 hours discussion.
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MATH 360
|
Ordinary Differential Equations
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3.0
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SP
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|
Prerequisites: MATH 260.
Systems of first order linear equations, existence and uniqueness theorems, stability, Sturm separation theorems, power series methods. 3 hours discussion.
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MATH 361
|
Boundary Value Problems and Partial Differential Equations
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3.0
|
FA
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|
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.
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MATH 385
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Introduction to Data Science
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3.0
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FA
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|
Prerequisites: CSCI 111, MATH 130, or MATH 230; MATH 109 or MATH 120.
This course is also offered as
CSCI 385.
Data Science is the science of learning from data in order to gain useful predictions and insights. The course provides an overview of the wide area of data science, with a particular focus on the tools required to store, clean, manipulate, visualize, model, and ultimately extract information from various sources of data. Topics include the analytics life cycle, data integration and modeling in R/Python, relational databases and SQL, text processing and sentiment analysis, and data visualization. Emphasis is placed on reproducible research, code sharing, version control, and communicating results to a non-technical audience. 3 hours discussion.
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MATH 398
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Special Topics in Math
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1.0
-3.0
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FS
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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.
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MATH 399
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Special Problems
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1.0
-3.0
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FS
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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.
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MATH 401
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CMP Institute - Summer 1
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2.0
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SM
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CMP Institute - Summer 1 2 hours discussion. You may take this course more than once for a maximum of 4.0 units. Credit/no credit grading.
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MATH 405
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Cmp Institute-Sp
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1.0
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SP
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|
1 hour lecture. You may take this course more than once for a maximum of 6.0 units. Credit/no credit grading.
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MATH 407
|
CMP Institute - Summer 2
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1.0
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SM
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|
1 hour discussion. You may take this course more than once for a maximum of 2.0 units. Credit/no credit grading.
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MATH 420W
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Advanced Calculus (W)
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3.0
|
FS
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GW
W
|
Prerequisites: GE Written Communication (A2) requirement, 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. This is an approved Writing Course.
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MATH 421
|
Advanced Calculus
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3.0
|
SP
|
|
Prerequisite: MATH 420W.
Continuation of MATH 420W. 3 hours discussion.
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MATH 425W
|
Computational and Communication in Mathematical Modeling (W)
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3.0
|
FA
|
GW
W
|
Prerequisites: GE Written Communication (A2) requirement, completion of computer literacy requirement, MATH 225, MATH 235, MATH 330W, and upper division standing.
In this course, intended for pre-service teachers, student experience mathematical modeling with content common in the secondary setting (algebra through calculus) as well as from their undergraduate coursework and develop and produce formal modeling reports. Students use technology to aid in exploring real-world circumstances, make sense of and analyze existing models, and develop their own mathematical models. 3 hours discussion. This is an approved Graduation Writing Assessment Requirement course; a grade of C- or higher certifies writing proficiency for majors. This is an approved Writing Course.
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MATH 428
|
Differential Geometry
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|
3.0
|
F1
|
|
Prerequisites: MATH 220, MATH 330.
The geometry of curves and surfaces in Euclidean 3-space. 3 hours lecture.
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MATH 435
|
Linear Algebra
|
|
3.0
|
S2
|
|
Prerequisites: MATH 220, MATH 235, MATH 330.
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
|
Topology
|
|
3.0
|
F2
|
|
Prerequisites: MATH 220, MATH 330.
Metric spaces, continuous functions, homeomorphisms, separation, and covering axioms, connectedness. 3 hours discussion.
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MATH 441
|
Math Topics for the Credential
|
|
4.0
|
FS
|
|
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
|
Mathematics and the Teaching of Mathematics
|
|
3.0
|
FA
|
|
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
|
Modern Algebra
|
|
3.0
|
FA
|
|
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
|
Mathematical Statistics
|
|
3.0
|
FA
|
|
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 451
|
Modern Algebra II
|
|
3.0
|
S1
|
|
Prerequisite: MATH 449.
Continuation of MATH 449, topics may include group actions, the Sylow theorems, number fields, finite fields, algebraic extensions, field automorphisms, splitting fields of polynomials, Galois groups, and solvable groups. 3 hours discussion.
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MATH 456
|
Applied Statistical Methods II
|
|
3.0
|
S2
|
|
Prerequisites: MATH 314 or MATH 315.
Advanced topics in applied statistics including multiple and logistic regression, multivariate methods, multi-level modeling, repeated measures, and others as appropriate. The statistical programming language R is used. Appropriate for biology, agriculture, nutrition, business, psychology, social science and other majors. 3 hours discussion.
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|
MATH 458
|
Sampling Methods
|
|
3.0
|
S1
|
|
Prerequisite: MATH 314, MATH 315, or MATH 351 (may be taken concurrently).
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 461
|
Numerical Analysis
|
|
3.0
|
SP
|
|
Prerequisites: MATH 220 or MATH 260; completion of computer literacy requirement.
Approximation; numerical integration; numerical solution of ordinary and partial differential equations; interpolation and extrapolation. 3 hours discussion.
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|
MATH 465
|
Introduction to Complex Variables
|
|
3.0
|
FA
|
|
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
|
Introduction to Chaotic Dynamical Systems
|
|
3.0
|
F1
|
|
Prerequisites: MATH 260. Recommended: MATH 235, MATH 360.
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
|
Calculus of Variations
|
|
3.0
|
F2
|
|
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
|
Mathematical Modeling
|
|
3.0
|
SP
|
|
Prerequisites: MATH 235, MATH 260.
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 485
|
Advanced Topics in Data Science
|
|
3.0
|
SP
|
|
Prerequisites: CSCI 385 or MATH 385; MATH 456 (may be taken concurrently).
This course is also offered as
CSCI 485.
Getting connected to current events in Data Science and building an online presence. Ethics of predictive analytics and privacy and open data. Reporting and dissemination of research using interactive dashboards and web-publishing. Introduction to current scalable technologies to handle Big Data. Introduction to advanced statistical analysis and machine learning techniques for Data Science. 3 hours lecture.
|
|
MATH 490
|
Data Science Capstone
|
|
1.0
-3.0
|
FS
|
|
Prerequisites: MATH 485, senior standing, approved project, enrollment in the Data Science Certificate Program.
Students work independently to provide a service in the form of a data product to a local business, researcher, or community member. Students provide status reports at weekly meetings and present their finished project to a group of peers at the end of the semester in an appropriate venue such as at an undergraduate seminar series or poster symposium. You may take this course more than once for a maximum of 6.0 units.
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MATH 495H
|
Honors Reading Course
|
|
3.0
|
FS
|
|
Prerequisites: Admission to the Department Honors Program, completion of MATH 420W 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. You may take this course more than once for a maximum of 6.0 units.
|
|
MATH 498
|
Advanced Topics in Mathematics
|
|
1.0
-3.0
|
FS
|
|
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.
|
|
MATH 499
|
Special Problems
|
|
1.0
-3.0
|
FS
|
|
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.
|
|
MATH 499H
|
Honors Thesis
|
|
3.0
|
FS
|
|
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. You may take this course more than once for a maximum of 6.0 units.
|
|
MATH 610
|
Topics in Mathematics for Secondary Teachers: Analysis
|
|
3.0
|
INQ
|
|
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.
|
|
MATH 615
|
Statistical Methods for Graduate Research
|
|
3.0
|
FA
|
|
Prerequisites: MATH 105, MATH 305, MATH 315, or MATH 350 (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.
|
|
MATH 620
|
Topics in Mathematics for Secondary Teachers: Geometry
|
|
3.0
|
INQ
|
|
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.
|
|
MATH 630
|
Topics in Mathematics for Secondary Teachers: Foundations of Mathematics
|
|
3.0
|
INQ
|
|
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.
|
|
MATH 633
|
Topics in Mathematics for Secondary Teachers: Number Theory
|
|
3.0
|
INQ
|
|
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.
|
|
MATH 635
|
Topics in Mathematics for Secondary Teachers: Discrete Mathematics
|
|
3.0
|
INQ
|
|
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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