This is a self-contained, open educational resource (OER) textbook for college algebra. …

This is a self-contained, open educational resource (OER) textbook for college algebra. Students can use the book to learn concepts and work in the book themselves. Instructors can adapt the book for use in any college algebra course to facilitate active learning through problem solving. Additional resources such as classroom assessments and online/printable homework is available from the authors.

In this course students will learn about Noetherian rings and modules, Hilbert …

In this course students will learn about Noetherian rings and modules, Hilbert basis theorem, Cayley-Hamilton theorem, integral dependence, Noether normalization, the Nullstellensatz, localization, primary decomposition, DVRs, filtrations, length, Artin rings, Hilbert polynomials, tensor products, and dimension theory.

This workbook is mainly based on the author‰Ûªs worksheets for the college …

This workbook is mainly based on the author‰Ûªs worksheets for the college algebra course (MAD-119) at QCC of CUNY. It is intended as a concise introduction to college algebra at the intermediate level. It contains 25 lessons. Each lesson, corresponding to roughly one class meeting, starts with a page on concepts, formulas and examples, and ends with a list of practice problems that students are expected to be able to solve and complete in class.

This is the second edition of the book "A Concise Workbook for …

This is the second edition of the book "A Concise Workbook for College Algebra". In this new edition, some tips and notes, more exercises and examples were added.

" Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their …

" Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts: integrable systems (Calogero-Moser and Ruijsenaars models), algebraic geometry (Hilbert schemes), orthogonal polynomials, Lie theory, quantum groups, etc. In this course we will review the basic theory of DAHA and their representations, emphasizing their connections with other subjects and open problems."

"This course covers the same material as Differential Equations (18.03) with more …

"This course covers the same material as Differential Equations (18.03) with more emphasis on theory. In addition, it treats mathematical aspects of ordinary differential equations such as existence theorems."

‰Û÷Inquiry Into Saving‰Ûª is an assignment originally designed for MAT117, which is …

‰Û÷Inquiry Into Saving‰Ûª is an assignment originally designed for MAT117, which is a course for students who have been placed in basic skills mathematics and who can apply a college level course in Algebra and Trigonometry to their program. These students should, ideally, be early in their LaGuardia career, though that is frequently not the case. All, however, are novices of mathematics. The assignment was vetted and revised based on feedback from the Inquiry and Problem Solving in STEM CTL seminar and a charrette not affiliated with the seminar. Revisions addressed connections to the Inquiry and Problem Solving/Written competency/ability pair, as well as general assignment design. The ‰Û÷Inquiry Into Saving‰Ûª assignment is scaffolded into three parts. The first part is a brief reflection on investment goals; the second requires students to find information about investment options and use a provided formula to calculate how much they would need to invest to meet their goals; the third is a written piece that pulls the first two parts together into a rudimentary investment plan. The assignment draws on calculational topics from early in the semester (eg ‰ÛÒ linear equations), as well as later topics related to exponential functions and modeling. It also addresses effective use of calculators for ‰Û÷complex‰Ûª calculations. LaGuardia‰Ûªs Core Competencies and Communication Abilities Main Course Learning Objectives: The following are addressed by Part 2 (Exploring Options) of the project: Introduce students to the concept of function and its application in modeling (exponential case). Introduce students to exponential functions Enable students to identify and apply appropriate mathematical methods to solve problems in real-world contexts.

Selection of material from the following topics: calculus of variations (the first …

Selection of material from the following topics: calculus of variations (the first variation and the second variation); integral equations (Volterra equations; Fredholm equations, the Hilbert-Schmidt theorem); the Hilbert Problem and singular integral equations of Cauchy type; Wiener-Hopf Method and partial differential equations; Wiener-Hopf Method and integral equations; group theory.

Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra is …

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.

This is a communication intensive supplement to Linear Algebra (18.06). The main …

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.

This course covers matrix theory and linear algebra, emphasizing topics useful in …

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.

Real Numbers, Sets and Intervals, Absolute Value, Exponents and Radicals, Algebraic Expressions, …

Real Numbers, Sets and Intervals, Absolute Value, Exponents and Radicals, Algebraic Expressions, Polynomials, Rational Expressions, Factoring, Solving Basic Equations, Solving Equations Involving Radicals, Solving Quadratic Equations, The Coordinate Plane, Lines, Introduction to Functions and Relations, Linear Functions in Two Variables, Systems of Linear Equations, Graphs of linear and quadratic functions. Starting Fall 2019 qualifies as STEM variant course - Satisfies Pathways Required Core Math and Quantitative Reasoning requirement.

This undergraduate course focuses on traditional algebra topics that have found greatest …

This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.

My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that …

My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors. In a paper to appear in PRIMUS, this textbook and accompanying pedagogy showed significant increases in learning outcomes.

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