Calculus II

Department: 
MATH
Course Number: 
1502
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
2
Hours - Total Credit: 
4
Typical Scheduling: 
Not offered after Spring 2016
Description: 
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.
Course Text: 

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.

Topic Outline: 
TopicText SectionsLectures
Numerical Integration
8.71
ODE's7.2, 9.22
L'Hospital's Rule4.5
2
Improper Integrals8.81
Infinite Series10.1-10.65
Taylor Polynomials, Taylor Series, Power Series
10.7-10.9
4
Solving Systems of Linear Equations1.1-1.2 in Lay3
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 Lay2
Matrix Operation and Matrix Inverses2.1-2.3 in Lay2
LU Factorization2.5 in Lay2
Subspaces, Bases, Dimension, Rank2.8-2.9 in Lay2
Determinants3.1-3.2 in Lay2
Vector Spaces 4.3 in Lay1
Eigenvalues and Eigenvectors5.1-5.3 in Lay3
Diagonalization and Symmetric Matrices7.1-7.2 in Lay2
Inner Products and Orthogonality6.1-6.3 in Lay3
Gram Schmidt and QR6.3-6.4 in Lay3
Least Squares6.5 in Lay1
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