## 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

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.

Prerequisites:
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:
Topic Text Sections Lectures
Numerical Integration 8.7 1
ODE's 7.2, 9.2 2
L'Hospital's Rule 4.5 2
Improper Integrals 8.8 1
Infinite Series 10.1-10.6 5
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
45