Linear algebra, math 304 class taught by professor branko curgus, mathematics department, western washington university. On studocu you find all the lecture notes, summaries and study guides for this course. Math 304 linear algebra winter 2020 instructor amites sarkar text. The o cial course requiremens is linear algebra at the level of 110. Honors calculus is directed at students who already have credit for calculus 1 or calculus 2 and a strong record of performance in mathematics. Solve linear and quadratic equations and inequalities using a variety of methods. Math 304 linear algebra spring 2018 exam 1 solutions feingold a 7 points to find kerla we must solve a linear system by row reducing. Much of the mathematics now taught to engineers and physicists requires it.
Information about the scheduling of exams is posted on the main math 304 page. Math 304504, fall 2008 3mm linear algebra tamu math. Matrix algebra, including inverses and determinants. This course is a continuation of elementary linear algebra math 204. You are expected to have a rm grasp of the more abstract concepts of vector space, subspace, basis, etc. Most students taking a course in linear algebra will have completed courses in di erential and integral calculus, and maybe also multivariate calculus, and will. Vectors, vector spaces, bases and linear transformations in real coordinate space of n dimensions. The rest of the course is divided into three parts.
Math 304 linear algebra 4 math 312 proofs in elementary analysis 4 math 401 introduction to abstract algebra 4 math 402 introduction to abstract algebra 4 math 410 mathematical modeling 4 math 441 probability 4 mcs 375 numerical computation 4 or by advisement. In broad terms, vectors are things you can add and linear functions are functions of vectors that respect vector addition. Information sheet for math 304 winter 2021 western washington. The faculty of the department of mathematics recognizes this and strives to ensure that the student learner obtains this knowledge.
Math 304 linear algebra winter 2020 instructor amites sarkar text linear algebra and its applications 5th ed. We would like to show you a description here but the site wont allow us. Meeting this prerequisite is crucial to your success in this class. Math 336 combinatorial mathematics pdf math 304 vector analysis pdf math 341 theory of numbers pdf math 306 linear algebra ii pdf math 344 linear analysis ii pdf math 316 introduction to linear algebra workshop ii. The lectures were distributed to the students before class, then posted on a. Linear algebra in twenty five lectures uc davis mathematics. The rst three chapters contain a revision of basic notions covered in the prerequisite course linear algebra i mat 2141. Functions of the form l a have the following very nice properties. Vector space linear space a set v of objects called vectors that can be added and scaled. Math 304 linear algebra spring 20 instructor amites sarkar text linear algebra and its applications 3rd ed. Math 350 mathematical software pdf math 328 mathematics for elementary teaching ii pdf math 351 typesetting with. Course outlines mathematics department cal poly, san luis.
These notes are aimed at students in the course linear algebra ii mat 3141 at the university of ottawa. Instructions for students to register in webwork will be posted on the main math 304. Elementary number theory online 8 june 2020 2 august 2020 instructor. While this may contradict the experience of many experienced mathematicians, the approach here is consciously algebraic.
Advanced linear algebra a show that is a metric space and that is. You are also expected to know the elementary linear algebra background related to the inverse of a matrix, and the characterizations of invertible matrices. Upon completion of this course, the students will be able to. Linear algebra is now one of the central disciplines in mathematics.
We use only one theoretical concept from linear algebra, linear independence, and only one computational tool, the qr factorization. We will cover chapters 5, 6 and 7 of the book but skip sections 5. Math v1106 calculus iis or math v1201 calculus iiia or the equivalent. Syllabus for linear algebra 2 western washington university. The schedule will be maintained on the departmental website found here.
See for example this proof from a linear algebra course at uc davis. Studying math 304 linear algebra at binghamton university. Linear algebra and its applications, fifth edition by david c. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. A graph is a collection of vertices connected by edges. For example, in linear algebra you study vector spaces, which. Instructions for students to register in webwork will be posted on the main math 304 webpage. Mock exam 2 spring 2021 solutions 1 2 0 3 problem 1.
It might be a good idea to give a definition of a polynomial. Similarly, there is little emphasis on a geometric approach to problems of linear algebra. Elementary linear algebra with applications, ninth edition, by b. I wrote this proof for another linear algebra class. Math 304 linear algebra when we work with abstract vector spaces, we usually chose a basis, and then represent vectors via their coordinates in the chosen basis. Topics include the frenetserret formulas, smooth surfaces in 3space, fundamental forms, differentiable manifolds, vector fields, connections and a brief introduction to riemannian geometry. The book covers less mathematics than a typical text on applied linear algebra. Linear algebra branko curgus saturday, december 7, 2019. Math 304 linear algebra in the previous note we learned an important algorithm to produce orthogonal sequences of vectors called the grammschmidt orthogonalization process. There may be some adjustments to this schedule during the semester. Chapters 5, 6 and 7 of the book but skip sections 5. Also, systems of linear equations using the gaussian elimination method, cramers rule, lu decomposition, and the inverse matrix are studied. Let be an inner product on a vector space v and let v1.
Welcome to mathematical sciences binghamton university. 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. Suppose we have a system of 7 linear equations and 6. Math 304 2 linear algebra schedule this schedule includes a weekly outline of the material to be covered, the test dates, and signi. Calculators with graphing capabilities, builtin programming languages, networking, or computer algebra. Course outlines mathematics department cal poly, san. The theory, discipline, and techniques taught in mathematics courses are especially important in todays society. Lay calculator ti85 or higher course content this course is a continuation of elementary linear algebra math 204. Math 304 linear algebra we continue our discussion of functions associated to matrices. Linear algebra and the applications that are frequently used in advanced engineering, computer science and mathematics courses. Lecture notes on linear algebra department of mathematics. Linear algebra math 304 binghamton university department of. Linear algebra is one of the most applicable areas of mathematics.
Mathematics math mathematics 241 and a semester course in linear algebra. Since there is no preferred choice of a basis, we need to be able to compare computations in one. Solve systems of linear equations or inequalities using a variety of methods. Lecture notes on linear algebra by david lerner department of mathematics university of kansas and the students of math 291 fall, 2007 these are notes of a course given in fall, 2007 to the honors section of our elementary linear algebra course. Math 304 504, fall 2008 3mm linear algebra created date. Mathematics develops computational skills, critical thinking, and problem solving skills. Math 304 linear algebra 4 math 312 proofs in elementary analysis 4 math 401 introduction to abstract algebra 4 math 402 introduction to abstract algebra 4. This class uses geometric interpretations of the inner product and of linear transformations to represents such transformations using their eigenvalues and singular values, to describe orthogonal sets and projections, and to apply the resulting structures. Linear mapping linear transformation linear function. Linear algebra with applications fifth edition, by steven j. Beezer is a professor of mathematics at the university of puget sound. Math 304 linear algebra, section 4 syllabus instructor.
Then we compute with the coordinates as we do with vectors in rn. A simple arithmeticscienti c calculator is permitted during quizzes and tests. It is used by the pure mathematician and by the mathematically trained scientists of all disciplines. Math 419 historical perspectives of mathematics 3 math 483 methods of teaching secondary mathematics 4 at least four courses selected from the following. Many of the algebraic concepts to which you are introduced in the particular context of linear algebra are studied in greater generality in abstract algebra.
Facebook is showing information to help you better understand the purpose of. Columbia university bookstore, or check addall to find the best price online. Lay, lay and mcdonald calculator ti85 or higher course content this course is a continuation of elementary linear algebra math 204. A linearly independent spanning set for v is called a basis. If you enjoy linear algebra, then you will probably also enjoy abstract algebra. Orthogonal sets let v be an inner product space with an inner product h,i and the induced norm kvk. The fundamental theorem of algebra is proved in math 430. Solve system of linear equations by various methods. This will be graded on completion and a full score is guaranteed as long as an honest e ort is made and. Mth 304 analysis of differential equations 3 mth 401 mathematics for the physical sciences 4 linear algebra and applications mth 327 linear algebra ii 3 mth 360 operations research 3 applied mathematics mth 405 numerical analysis 3. Number systems should be taken as early as possible, as soon as math 226227 is complete. As such, you must have a rm grasp of the concepts learned in math 204, in particular, the more abstract concepts of vector space, subspace, basis, etc.
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