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

Instructor

Professor Mohammad Ghomi

Teaching Assistant

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.

Prerequisites

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.

Lecture and Reading Schdule

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.

Grading

The grade is based on homeworks (15%); two midterms (20% each) on Wednesdays Feb 13, and April 2; and a final exam (45%) on Thursday, May 1, 11:30-2:20.

How to Succeed in this class

Attend all lectures and recitations, and start working on each homework assigment well in advance of its due date.