This page contains specific information for Section 006 and 010 of MATH 2210Q – Linear Algebra. Below you can find the formal course description, information about the instructor, enrollment, the book, homework and quizzes, exams, and policies.
Course Description: MATH 2210Q, Linear Algebra
Description: Systems of equations, matrices, determinants, linear transformations on vector spaces, characteristic values and vectors, from a computational point of view. The course is an introduction to the techniques of linear algebra with elementary applications.
Prerequisites: MATH 1132, 1152, or 2142. Recommended Preparation: a grade of C- or better in MATH 1132. Not open for credit to students who have passed MATH 3210
The enrollment for MATH 2210Q is handled via a waitlist, so you need to go into https://www.math.uconn.edu/Surveys/WaitingList and write your name in the list for the section you want.
About the Book and Other Resources:
The book for this course is “Linear Algebra & Its Applications“, 4th Edition, David C. Lay.
Homework will be assigned and collected every week. Homework will be graded for completion. There will be in-class quizzes every other week, and the problems in the quizzes will be heavily based on the homework problems.
The homework problems are listed in the outline below.
Solutions to quizzes will be posted to here.
Exams and Class Grade:
There will be two in-class midterms and a final exam. Each midterm will cover about 6 weeks of material, while the final will be cumulative. The total grade will be computed as follows:
|Exam 1: (Week 6 – Friday, February 26th)||In class||100|
|Exam 2: (Week 12 – Friday, April 8th)||In class||125|
|1||1.1 Systems of Linear Equations.||pages 10-11, #1,8,13,14,17,20|
|1.2 Row Reduction and Echelon Forms.||pages 21-23, #1,3,7,12,14,20|
|2||1.3 Vector Equations.||pages 32-34, #1,3,6,9,13,14,15,21|
|1.4 The Matrix Equation Ax=b.||pages 40-42: #1,4,7,9,13,19,22|
|1.5 Solutions Sets of Linear Systems.||pages 47-49: #2,5,11|
|3||1.7 Linear Independence.||pages 60-62, #1,5,8,9,15,20,22|
|1.8 Matrix Operations.||pages 68-70, #1,8,9,13|
|1.9 The Matrix of a Linear Transformation.||pages 78-79, #1,2,15,20|
|4||2.1 Matrix Operations||pages 100-102: #2,5,7,10|
|2.2 Inverse of a Matrix||pages 109-111: #3,6,29,31,32,33|
|2.3 Characterizations of Invertible matrices|
|5||2.5 Matrix Factorizations|
|3.1 Introduction to Determinants||pages 167-169: #4,11,15,16,37|
|3.2 Properties of Determinants||pages 175-176: #4,7,8,21,22|
|6||Review and Exam I|
|7||4.1 Vector Spaces and Subspaces||pages 195-198: #1,6,7,8,9,11|
|4.2 Null Spaces, Columns Spaces, and Linear Transformations||pages 205-207: #3,11,12,14,17,21,23|
|4.3 Linearly Independent Sets; Bases||pages 213-215: #3, 4, 9, 13, 15, 16, 19, 23|
|8||4.4 Coordinate Systems||pages 222-224: # 1, 3, 5, 6, 9, 10, 13, 14|
|4.5 Dimension of a Vector Space||pages 229-231: #1, 4, 9, 11, 17, 18|
|4.6 Rank||pages 236-238: #1, 2, 5, 6|
|10||4.7 Change of Basis|
|5.1 Eigenvalues and Eigenvectors||pages 271-273: # 2, 4, 13, 15, 16, 17|
|5.2 The Characteristic Equation||pages 279-281: # 2, 4, 9, 10, 12|
|11||5.3 Diagonalization||pages 286-287: # 7, 8, 9, 11|
|5.4 Eigenvectors and Linear Transformations|
|12||Review and Exam II|
|13||6.1 Inner Product, Length and Orthogonality||pages 336-338: #5, 10, 15, 17|
|6.2 Orthogonal Sets||pages 344-346: #1, 2, 9, 11, 14|
|14||6.3 Orthogonal Projections||pages 352-353: #3, 4, 11, 12, 13|
|6.4 Gram-Schmidt Process||pages 358-359: #5, 6, 9, 10|
|6.5 Least Squares Problems||pages 366-367: #5, 10, 12, 13, 14|
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