- Brief prerequisite review: loops, methods, menu-driven programs, parallel arrays, array algorithms, file I/O
- Command line: basic Unix commands, command line arguments
- Objects and references: aliases, parameter passing, wrapper classes, auto-boxing and auto-unboxing, String, StringBuilder, BigInteger, BigDecimal
- Classes: instance variables and methods, constructors, encapsulation, static variables and methods, aggregation, UML diagrams, copying objects, enums
- Inheritance: superclasses and subclasses, overriding methods, constructor chaining, polymorphism, dynamic binding, the Object class and its toString and equals meth- ods, abstract classes
- ArraysLists
- Exceptions: try, catch, finally, throwing exceptions, declaring exceptions, exception types (checked vs. unchecked), polymorphism and dynamic binding with exceptions, stack trace, defining custom exception types, try-with-resources
- Interfaces: Comparable, Comparator, lambda expressions
- Collections: Collection, Iterable, Iterator, List, Set, Queue, Deque, Map
- Recursion: tracing recursive code, thinking recursively, mathematical functions, recur- sion involving Strings, recursion involving arrays, recursive helper methods
- If there’s extra time: JavaFX: basic components, event handling, CSS, MVC

This course is a self-contained introduction to statistics with economic applications. Elements of probability theory, sampling theory, statistical estimation, regression analysis, and hypothesis testing. It uses elementary econometrics and other applications of statistical tools to economic data. It also provides a solid foundation in probability and statistics for economists and other social scientists.

Introduces topology, covering topics fundamental to modern analysis and geometry. Topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems, the Tychonoff theorem.

Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra is a typed revision that was originally published by Plenum Press in 1976 as Volume 1 in a series on Mathematical Concepts and Methods in Science and Engineering, edited by Angelo Miele. PDF File.

Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of a large number of microscopic components interacting with each other in nontrivial ways. Many real-world systems can be understood as complex systems, where critically important information resides in the relationships between the parts and not necessarily within the parts themselves. This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models. Most of these topics are discussed in two chapters, one focusing on computational modeling and the other on mathematical analysis. This unique approach provides a comprehensive view of related concepts and techniques, and allows readers and instructors to flexibly choose relevant materials based on their objectives and needs. Python sample codes are provided for each modeling example.

" This class explores the creation (and creativity) of the modern scientific and cultural world through study of western Europe in the 17th century, the age of Descartes and Newton, Shakespeare, Milton and Ford. It compares period thinking to present-day debates about the scientific method, art, religion, and society. This team-taught, interdisciplinary subject draws on a wide range of literary, dramatic, historical, and scientific texts and images, and involves theatrical experimentation as well as reading, writing, researching and conversing. The primary theme of the class is to explore how England in the mid-seventeenth century became "a world turned upside down" by the new ideas and upheavals in religion, politics, and philosophy, ideas that would shape our modern world. Paying special attention to the "theatricality" of the new models and perspectives afforded by scientific experimentation, the class will read plays by Shakespeare, Tate, Brecht, Ford, Churchill, and Kushner, as well as primary and secondary texts from a wide range of disciplines. Students will also compose and perform in scenes based on that material."

This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing.

Materials complied for a course in basic elementary algebra. This course provides the basic arithmetic skills that will be utilized in all subsequent mathematics and science courses. Topics: operations with whole numbers, fractions, decimals, ratio, proportion and percent, scientific notation, the metric system, word problems, and applications. Materials adapted from OER textbooks from College of Redwoods, OpenStax, and Saylor Academy.

Materials adapted for Introduction to Probability and Statistics courses. Chapters derived from OpenStax's Introductory Statistics, with senior contributing authors Barbara Illowsky and Susan Dean from De Anza College. Significant adaptations include revising examples to reflect the experiences urban of community college students.

Precalculus: An Ivestigation of Functions. Chapters cover: Functions, Linear Functions, Polynormal and Rational Functions, Exponential and Logarithmic Functions, Trigonometric Functions of Angles, Periodic Functions, Trigonometric Equations and Identities, Further Applications of Trigonometry, and Conics.

Math 1011/ Math 1012:
Preparation for calculus. Trigonometry. The concept of function, including, linear and quadratic functions, composition of functions, polynomials and rational functions, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Conic sections. Binomial theorem. Introduction to limit ideas.

Preparation for calculus with more introductory material than Mathematics 1011. Mathematics 1021 and 1026 constitute a two-term sequence for students who are not prepared for Mathematics 1011 or who wish a review. Real numbers. Complex numbers. Graphs. Functions, especially linear and quadratic functions. Polynomials and rational functions. Introduction to logarithmic and exponential functions.

Mathematics 1201, 1206 and 2201 constitute a three-term sequence. Mathematics 1201 is an introduction to calculus: limits and continuity; derivatives and integrals of algebraic, exponential, logarithmic, and trigonometric functions of one variable; methods of numerical approximation, and applications of the derivative to mathematics, physics, engineering, biology, chemistry, and other fields. STEM variant course - Satisfies Pathways Required Core Math and Quantitative Reasoning requirement.

Trigonometric and inverse trigonometric functions, techniques (closed form and numerical) and applications of integration for functions of one variable, improper integrals, l'Hopital's rule, sequences, series, and polar coordinates.

Matrix algebra. Systems of linear equations. Determinants. Vector spaces. Linear independence. Linear transformations. Inner product spaces.

Matrix algebra. Systems of linear equations. Determinants. Vector spaces. Linear independence. Linear transformations. Inner product spaces.

This course provides techniques of effective presentation of mathematical material. Each section of this course is associated with a regular mathematics subject, and uses the material of that subject as a basis for written and oral presentations. The section presented here is on chaotic dynamical systems.

The purpose of this course is to expose you to the wider world of mathematical thinking. There are two reasons for this. First, for you to understand the power of quantitative thinking and the power of numbers in solving and dealing with real world scenarios. Secondly, for you to understand that there is more to mathematics than expressions and equations.

The core course is a complete, ready to run, fully online course, featuring 9 topics: Problem solving, voting theory, graph theory, growth models, consumer finance, collecting data, describing data, probability, and historical counting. Additional optional topics are provided. The course materials can easily be used with a face-to-face course.

Each topic features:

Readings from a complete textbook, available in printed form for ~$15, or online for free. A playlist of videos, corresponding to the examples in the text. Exercises available in the book, or algorithmically generated online homework and quizzes are available on WAMAP.org (for Washington faculty) or MyOpenMath.com (for everyone else). Writing assignments, requiring the students to think beyond calculations. For many topics, some in-class activities and paper quizzes are available.

Lebesgue's integration theory with applications to analysis, including an introduction to convolution and the Fourier transform.

Excerpted from “Quantitative Models for Management” by Steven Cosares, Fred Rispoli, and Paul Abramson, RMC Publications, 3rd Edition (2011).