Will be replaced by MATH 1553. See also MATH 1554, 1564. Transfer students with credit for MATH 15X2 (Transfer Calculus II) should take MATH 1522 to satisfy the linear algebra requirement in MATH 1502.
At the level of Linear Algebra and its Applications, by David Lay (Fourth Edition), Pearson, 2012 (referred to as Lay in the table below).
|Topic||Text Sections||Lecture Equivalents|
|Solving Systems of Linear Equations||1.1-1.2 in Lay||3|
|Vectors, Geometry of R^n, and Solution Sets||1.3-1.5 in Lay; optional supplements from Salas, Hille&Etgen, Ch. 13||4|
|Linear Independence and Linear Transformations||1.7 – 1.9 in Lay||2|
|Matrix Operations and Matrix Inverses||2.1 – 2.3 in Lay||2|
|LU Factorization||2.5 in Lay||2|
|Subspaces, Bases, Dimension, Rank||2.8-2.9 in Lay||2|
|Determinants||3.1 – 3.2 in Lay||2|
|Vector Spaces||4.3 in Lay||1|
|Eigenvalues and Eigenvectors||5.1 – 5.3 in Lay||3|
|Diagonalization of Symmetric Matrices||7.1 – 7.2 in Lay||2|
|Inner Products and Orthogonality||6.1 – 6.3 in Lay||3|
|Gram Schmidt and QR||6.3 – 6.4 in Lay||3|
|Least Square||6.5 in Lay||1|