See MATH 1552, 1553, 1554, 1564. Concludes the treatment of single variable calculus, and begins linear algebra; the linear basis of the multivariable theory. The first 1/3 of this course covers more advanced single variable calculus. The remaining 2/3 is an introduction to linear algebra, the theory of linear equations in several variables.
Thomas' Calculus (Early Transcendentals), (13th Edition) Pearson; Linear Algebra and its Applications by David Lay, (5th Edition), Pearson, Inc. 2012 [referred to as Lay in the table below].
Flow chart describing textbook choices for fall 2015.
|Taylor Polynomials, Taylor Series, Power Series||10.7-10.9||4|
|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||4|
|Linear Independence and Linear Transformations||1.7-1.9 in Lay||2|
|Matrix Operation 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 and 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 Squares||6.5 in Lay||1|