黑料正能量张津瑜

黑料正能量张津瑜
黑料正能量张津瑜

Mathematics & Statistics Department

Courses

MATH 111 - Calculus

This includes a treatment of limits, continuity, derivatives, mean value theorem, integration-including the fundamental theorem of calculus, and definitions of the trigonometric, logarithmic, and exponential functions.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): Three years of high school mathematics
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 112 - Introduction to Analysis

Field axioms, the real and complex fields, sequences and series. Complex functions, continuity and differentiation; power series and the complex exponential.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听or equivalent
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 113 - Discrete Structures

Sets, cardinality, number theory, combinatorics, probability. Proof techniques and problem solving. Additional topics may include graph theory, finite fields, and computer experimentation.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): Three years of high school mathematics
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 201 - Linear Algebra

A brief introduction to field structures, followed by presentation of the algebraic theory of finite dimensional vector spaces. Topics include linear transformations, determinants, eigenvalues, eigenvectors, diagonalization. Geometry of inner product spaces is examined in the setting of real and complex fields.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 202 - Vector Calculus

The derivative as a linear function, partial derivatives, optimization, multiple integrals, change of variables, Stokes's theorem.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听and 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 291 - Probability

See STAT 291听for description.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听and听听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Cross-listing(s): 听
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 311 - Complex Analysis

A study of complex valued functions: Cauchy's theorem and residue theorem, Laurent series, and analytic continuation.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 321 - Real Analysis

A careful study of continuity and convergence in metric spaces. Sequences and series of functions, uniform convergence, normed linear spaces.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 322 - Ordinary Differential Equations

An introduction to the theory of ordinary differential equations. Existence and uniqueness theorems, global behavior of solutions, qualitative theory, numerical methods.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Notes: Offered in alternate years.
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 332 - Abstract Algebra

An elementary treatment of the algebraic structure of groups, rings, fields, and/or algebras.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听and 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 341 - Topics in Geometry

Topics in geometry selected by the instructor. Possible topics include the theory of plane ornaments, coordinatization of affine and projective planes, curves and surfaces, differential geometry, algebraic geometry, and non-Euclidean geometry.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Repeatable for Credit: May be taken up to 8 times for credit if different topics.
Notes: Offered in alternate years.
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 342 - Topology

An introduction to basic topology, followed by selected topics such as topological manifolds, embedding theorems, and the fundamental group and covering spaces.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听and . 听may be taken concurrently
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 361 - Number Theory

A study of integers, including topics such as divisibility, theory of prime numbers, congruences, and solutions of equations in the integers.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Notes: Recommended: concurrent enrollment in MATH 332. Offered in alternate years.
Not offered: 2026-27
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 372 - Combinatorics

Emphasis is on enumerative combinatorics including such topics as the principle of inclusion-exclusion, formal power series and generating functions, and permutation groups and P贸lya theory. Selected other topics such as Ramsey theory, inversion formulae, the theory of graphs, and the theory of designs will be treated as time permits.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听and 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Notes: Offered in alternate years.听
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 382 - Algorithms and Data Structures

See CSCI 382听for description.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听or equivalent and听听and听听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Cross-listing(s): 听
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 383 - Advanced Algorithms

See听CSCI 383听for description.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听and either听听or听听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Cross-listing(s): 听
Not offered: 2026-27
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 386 - Private and Fair Data Analysis

See CSCI 386听for description.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听or听听(previously听 听 ); and one of听/,听/, or听/听(previously听 听 )听
Instructional Method: Lecture
Grading Mode: Letter grading (A-F)
Cross-listing(s): 听
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 387 - Computability and Complexity

See CSCI 387听for description.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听or equivalent and听听and听听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Cross-listing(s): 听
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 388 - Cryptography

See CSCI 388听for description.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): /,听/, or听听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Cross-listing(s): 听
Not offered: 2026-27
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 392 - Mathematical Statistics

See听STAT 392听for description.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): , and 听or听听(previously听 听 )听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Cross-listing(s): 听
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 411 - Topics in Advanced Analysis

Topics vary, and are selected by instructor.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Repeatable for Credit: May be taken up to 3 times for credit if different topics.
Notes: Not all topics offered every year. Review schedule of classes for availability.
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 412 - Topics in Algebra

Topics vary, and are selected by the instructor, for example, commutative algebra, Galois theory, algebraic geometry, and group representation theory.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Repeatable for Credit: May be taken up to 3 times for credit if different topics.
Notes: Not all topics offered every year. Review schedule of classes for availability.
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 421 - Computer Science Theory Topics Seminar

See听CSCI 421听for description.

Unit(s): .5
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): Prerequisites vary by topic.听See听.
Instructional Method: Conference
Grading Mode: Letter grading (A-F)
Cross-listing(s): 听
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 442 - Algebraic Topology

An introduction to algebraic topology, concentrating on homology of topological spaces as a coarse, yet highly computable algebraic invariant. Topics include singular and simplicial homology, homological algebra, and cohomology.

Unit(s): 1
Group Distribution Requirement(s): Distribution Group III
Prerequisite(s): 听and听听
Instructional Method: Lecture-conference
Grading Mode: Letter grading (A-F)
Not offered: 2026-27
Group Distribution Learning Outcome(s):
  • Use and evaluate quantitative data or modeling, or use logical/mathematical reasoning to evaluate, test or prove statements.
  • Given a problem or question, formulate a hypothesis or conjecture, and design an experiment, collect data, or use mathematical reasoning to test or validate it.

MATH 470 - Thesis

Unit(s): 2
Instructional Method: Independent study
Grading Mode: Letter grading (A-F)
Notes: Yearlong course, 1 unit per semester.

MATH 481 - Independent Study

Unit(s): 0.5
Prerequisite(s): Instructor and division approval
Instructional Method: Independent study
Grading Mode: Letter grading (A-F)
Repeatable for Credit: May be taken up to 4 times for credit.
Notes: Independent reading primarily for juniors and seniors.