Math 102 linear algebra i stefan martynkiw these notes are adapted from lecture notes taught by dr. University street, west lafayette, in 479072067 phone. Logic, boolean algebra, counting, probability, random variables, expectation. Course section title instructor days time room dates math 411. Department of mathematics, purdue university 150 n. This is a beginning course in algebra, designed to help students acquire a solid foundation in the basic skills of algebra. Mathematics math math 115a is a core mathematics course required of all the various mathematics majors.
We also offer noncredit training, esl, ged and other services. Math 222 linear algebra ii a second course in linear algebra. An algebraic introduction emphasis on the theory of graphs. Mathmathematics linear algebra and linear ordinary differential equations, existence and uniqueness of solution, smooth dependence on initial conditions, flows, introduction to smooth dynamical systems. These linear algebra lecture notes are designed to be presented as twenty ve, fty minute lectures suitable for sophomores likely to use the material for applications but still requiring a solid foundation in this fundamental branch. Mathematics using technologies 3 seven introduction to current math specific software and calculators which are used in the teaching and learning of mathematics. It develops the techniques and theory needed to solve systems of linear equations using matrices and determinants. The student must earn a c or higher in order to enroll in mat 062. This is made explicit by showing how to represent proofs in linear logic as linear maps between vector spaces. Courses department of mathematics, purdue university.
Math m 208, math m 211, math m 215, or consent of instructor. Math 111 with a grade of c or higher or appropriate score on the math placement test. We start with the language of propositional logic, where the rules for proofs are very straightforward. We give an introduction to logic tailored for algebraists, explaining how proofs in linear. Mathematics math math 109 transition to algebra for applications 3 intended primarily for students in business, economics, psychology and the social sciences. Similarly, there is little emphasis on a geometric approach to problems of linear algebra.
Linear algebra in twenty five lectures uc davis mathematics. Exactly 23 bald eagles were born in 2000 bc, all are statements. Mathematics for the natural science, mathematics for engineers, linear algebra and so on. The goal of this text is to teach you to organize information about vector spaces in a way that makes problems involving linear functions of many variables easy. The main purpose of this course is to bridge the gap between introductory mathematics courses in algebra, linear algebra, and calculus on one hand and advanced courses like mathematical analysis and abstract algebra, on the other hand, which typically require students to provide proofs of propositions and theorems. Adding sets and quanti ers to this yields firstorder logic, which is the language of modern mathematics. We give an introduction to logic tailored for algebraists, explaining how proofs in linear logic can be viewed as algorithms for constructing morphisms in symmetric closed monoidal categories with additional structure. Mathematics mat linear systems, optimization using linear programming, simplex algorithm. Free algebra practice questions practice and increase your. Mat 128 or mat 200 or csc 270 an introduction to vector spaces and systems of linear equations essential for the understanding of both pure and applied mathematics. Mathematics mat pdf file into ilearn and gradescope. The interesting part of this vector space semantics is based on. Linear logic was introduced by jeanyves girard in his seminal work girard 1987.
Survey of mathematics mathematics math math 75 prepares students for math 100, math 100c, math 111, and math 115. Mathematics course descriptions mathematics and statistics. It is used by the pure mathematician and by the mathematically trained scientists of all disciplines. While the origin of the discovery of this new logic comes from a semantical analysis of the models of system f or polymorphic \\lambda\calculus, one can see the whole system of linear logic as a bold attempt to reconcile the beauty and symmetry of the systems for. I i havent seen this worked out in detail anywhere before. College algebra math 111 a summary of concepts needed to be successful in mathematics the following sheets list the key concepts that are taught in the specified math course. Course offerings mathematics and statistics at tcnj. The course material can be regarded as an elaboration of the linear algebra already covered in math 33a.
Linear logic and linear algebra department of computer. Mathematics math linear logic proofs as algorithms linear logic was introduced by girard in the 1980s 22 and it has been the subject of active research ever since, in both computer science and mathematical logic. Chapter 4 defines the algebra of polynomials over a field, the ideals in that algebra, and the prime factorization of a polynomial. Math 220 or math 120 with permission of instructor.
Solving systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors. Algebra practice questions practice solving equations and word problems. It is good for learning the foundations of linear algebra, but also presents so much more interesting material, also. There is a close connection between linear logic and algebra, which at its root is linguistic. Linear algebra 3 systems of linear equations, vector spaces, linear dependence, bases, dimension, linear mappings, matrices, determinants, and quadratic forms. However, the level of abstraction and the emphasis on proof technique make this a difficult course for many students.
Math 111, 121, 123, 144, 501, and stat 370 or equivalent with a grade point of 2. High school geometry is a highly recommended preparatory course. It also deals with roots, taylors formula, and the lagrange inter polation. Course topics include ratio and percent, unit conversion, graphs, data interpretation, basic algebra, solving linear equations, and working with formulas with special. This course is designed for students majoring in math, statistics, physics, computer science or engineering. Open only to students in the developmental math program. David cherney, tom denton, rohit thomas and andrew waldron. Basic algebra is a common subject for the following exams. Preface here are my online notes for my linear algebra course that i teach here at lamar university. Technology will be used to investigate topics from algebra, statistics, calculus, linear algebra, etc.
The project gutenberg ebook of the algebra of logic, by louis. An elementary study of linear algebra, including an examination of linear transformations and matrices over finite dimensional spaces. Linear algebra is the study of vectors and linear functions. Surveys functions, theory of equations and inequalities, complex numbers, and exponential and logarithmic functions.
Some examples, but focus on the theory no calculator read the. Theory and applications 1 course unit every semester prerequisite. With an open enrollment policy and the lowest tuition cost in the area, columbus state is where the world is going. Mat 051 or equivalent with a grade of c or h igher or assessment basic algebra skills, the course will include. Mth 309 supplemental lecture notes based on robert messer. Satisfies gep requirement for pls and hdc students only. Mathematics math math 115 elementary algebra 3 hours. This course cannot be used as a math elective by mcs or ams majors. Equations and inequalities and their solutions considered symbolically, graphically and numerically. Despite the fact that these are my class notes they should be accessible to.
You may copy it, give it away or reuse it under the terms of the project gutenberg license included with this ebook or online at. Topics include matrices, abstract vector spaces, subspaces, bases, inner product spaces, linear transformations, matrix factorizations, symmetric matrices, quadratic forms, and applications of linear algebra. In broad terms, vectors are things you can add and linear functions are functions of vectors that respect vector addition. Credit is allowed in only one of the two courses math 111 and 112. Introduction to mathematical reasoning saylor academy. It also investigates the properties of vector spaces. Mat math mat math mat 101 beginning algebra 303 this course includes the study of rational numbers and their applications, operations with algebraic expressions, linear equations and applications, linear inequalities, graphs of linear equations, operations with exponents and polynomials, and factoring. Math 120 basic linear algebra i this is a math class, expect abstract thinking and deductive reasoning a lot you will learn to prove theorems, and to apply their results in solving problems. While this may contradict the experience of many experienced mathematicians, the approach here is consciously algebraic. The sheets present concepts in the order they are taught and give examples of their use. Successful completion of part 1 is required for entry into part 2.
Math225 or math235 and math2 or math223 or math224. I there are lots of interesting things that live in the category finvect. Mathematics math linear algebra, with emphasis on sets of simultaneous equations. The project gutenberg ebook of the algebra of logic, by louis couturat this ebook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. I interpret a type as a nite dimensional vector space over a nite eld i interpret a judgment as a linear transformation i. A statement is a sentence which is either true or false, for example 1. Linear algebra is one of the most applicable areas of mathematics. Linear algebra done right has set the standard of being a really quality linear algebra book, and for good reason. Introduction to applied linear algebra stanford university. You can earn a twoyear technical degree, or complete the first two years of your bachelors degree.
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