# SYLLABUS

## Calculus II (Math 1502 K) Spring 2008, Georgia Tech

Lecture Recitations
T TH 1:35-2:55 Skiles 169 M W 2:05-2:55 pm Skiles 202

Daniel Griffin

### Course Description

This first half of this class is a continuation of Calculus I (Math 1501), and the second half is an introduction to Linear Algebra. The main Calculus topics are: Taylor Polynomials, L'Hopital's Rule, Infinite Series, Numerical Integration, and ODE's. The main Linear Algebra topics are Matrices, Row reduction, Kernel, Image, Gram-Schmidt, Determinants, Eigenvalues and Diagonalizations.

Math 1501

### Textbooks

Calculus, One and Several Variables, by Salas, Hille, and Etgen (Tenth Edition); John Wiley and Sons, Inc., 2007, and Linear Algebra by Carlen and Carvalho, W. H. Freeman & Sons, Inc. 2007.

Topic Text Sections Lectures
Numerical Integration8.7 in S.H.&E. 1
ODE's9.1-9.2 in S.H.&E. 1
Sequences, L'Hospital's Rule and Improper Integrals 11.1-11.7 in S.H.&E. 3
Infinite Series 12.1-12.5 in S.H.&E. 2
Taylor Polynomials and Taylor Approximation 12.6-12.7 in S.H.&E. 2
Power Series 12.8-12.9 in S.H.&E. 2
Introduction to Vectors and Matrices 1.1-1.6 in C^2 4
Systems of Linear Equations & Row Reduction 2.1-2.6 in C^2 4
Kernel, Image, Subspaces, & Least Squares 3.1-3.4 in C^2 2
Orthogonal Projections, Gramm-Schmidt, QR Factorization 3.5-3.7 in C^2 2
Determinants & Cross Product 4.1-4.3 in C^2 2
Eigenvalues, Eigenvectors & Diagonalization with Applications 5.1-5.5 in C^2 4

### Homework

There will be homewark assignments due every Wednesday. Late Homeworks will not be accepted.

### Assignments

 # Due Date Problems 1 Jan 16 8.7) 2, 4, 8, 11, 12, 14, 16, 18, 26, 28. 2 Jan 23 9.1) 2, 4, 8, 10, 36, 41, 42; 9.2) 2, 4, 14, 16, 21; 11.1) 4, 8, 28, 30, 34; 11.2) 2, 6, 10, 14, 61, 63. 3 Jan 30 11.3) 4, 6, 10, 20, 22, 28, 58; 11.4) 2, 6, 8, 10, 14, 24, 34, 41, 44. 4 Feb 6 11.5) 2, 12, 48, 49, 54; 11.6) 2, 6, 10, 18, 28, 57; 11.7) 2, 8, 24, 41. 5 Feb 13 12.1) 4, 12, 22; 12.2) 4, 8, 14, 20, 23, 24; 12.3) 2, 4, 8, 10, 20, 49; 12.4) 2, 6, 8, 16, 20, 26. 6 Feb 20 12.5) 2, 4, 6, 8, 10, 14, 32, 34, 40, 42; 12.6) 2, 6, 10, 14, 16, 18, 22, 26, 28, 46, 50; 12.7) 2, 4, 24, 26. 7 Feb 27 12.8) 2, 4, 6, 8, 12, 14, 18, 20, 44; 12.9) 2, 4, 8, 12, 24, 32, 34, 38, 44, 54. 8 Mar 5 1.2) 2, 4, 6, 10, 11, 12, 19, 20; 1.3) 3, 5, 10, 11, 12, 13a, 15, 16, 20. 9 Mar 12 1.4) 1, 2, 4, 9, 11, 13, 14, 15; 1.5) 1, 3, 5, 6, 13, 16, 17, 18; 1.6) 4, 5. 10 Mar 26 2.1) 1, 2, 5, 15; 2.3) 2, 4, 6, 9, 10, 14; 2.4) 1, 2, 3, 5, 14, 15. 11 Apr 2 2.5) 1, 3, 5, 10, 11; 3.1) 1, 3, 6, 7, 10; 3.2) 1, 2, 5. 12 Apr 9 3.3) 1, 2, 6, 9, 10, 11, 12, 14, 15; 3.4) 1, 3, 6, 7, 8, 10, 12. 13 Apr 16 3.5) 3, 4, 5; 3.6) 1, 3, 4, 9; 3.8) 1, 2, 3,7. 14 Apr 23 4.1) 1, 2, 4; 4.2) 1, 2, 3, 4; 4.3) 1, 3, 9, 12. 15 5.1) 1, 2, 3; 5.2) 1, 2, 3.

### Attendance Policy

All students are required to attend all lectures and recitations.