Chongchun Zeng

Math 1502 Calculus II (H Sections), Fall 2013

Schedule: 11:05 pm - 11:55 pm MW	Classroom: Smith building 105
Office: Skiles 102A	Phone: 404-894-4750
Email: zengch@math.gatech.edu	Webpage: www.math.gatech.edu/~zengch
Office hours: 1pm - 2pm MW	Tentative final exam schedule: Fri. 12/13, 8am –10:50am.

Syllabus

Instructor: Chongchun Zeng

Prerequisites: MATH 1501

Overview: The first 1/3 of this course covers some chapters of single variable calculus not treated in Math 1501. The remaining 2/3 is an introduction to linear algebra, the theory of linear equations in several variables.

Participation: This course will consist of lectures (3 times a week) and recitations, (twice a week). You are required to attend all scheduled sessions at all times. Attendance in classes is mandatory. Students are expected to read the material before each lecture. It is suggested that you start to work on homework problems right after they are assigned.

Recitations: The TAs will expect that you have attended lecture and reviewed the textbook before class, and they will not lecture on the course material. Instead, you will spend the recitation time working on exercises or practice problems.

Textbook:

1. Thomas' Calculus (Early Transcendentals) (Twelfth Edition) [referred to as T in the table below] and

2. Linear Algebra and its Applications by David Lay (Fourth Edition) [referred to as Lay in the table below], both published by Pearson, Inc.

Textbook/Homework Access: http://www.mymathlab.com (required)

Important: MyLab & Mastering Student Registration Instructions (link).

MyMathLab Course Information: We will be utilizing MyMathLab (MML) for homework through a joint code for the Thomas Calculus text and the Lay Linear Algebra text. In order to register, you will need our course id listed below.

MyMathLab Course ID: zeng82203

Important notes on MML:

If you already have an account on MyMathLab using this combined textbook within the past 18 months, then you do not need to purchase a new code. Login to your account on MyMathLab, select the option to add a new course, and enter our course ID.
If you already have a MyMathLab account that used either the Thomas or the Lay texbook in the past 18 months, but you were unable to add our course using the previous step, please send an email to gatechmath@yahoo.com and include the following information:
- Your First and Last Name
- The email address used to register for MML
- Your Login ID for MML
- Our course ID (listed above) for Fall 2013
You should receive a reply in 48-72 hours from the Pearson support team regarding your account status. In the meantime, you can access our course using the temporary access option when registering. Please do not pay for a new code until you receive a reply from Pearson.
If you do not have a MyMathLab account using the Thomas or Lay textbooks, or if your account is over 18 months old, you will need to purchase a new code for our course. Please refer to the registration document, located in the Resources section on t-square, to create your new account.

When signing up for MyMathLab, it will be immensely helpful to me (for grading purposes) if you will set your STUDENT ID to your USERID for the GT system (i.e., your T-square USERID, as in “gburdell3”, etc).

MyMathLab comes with an entire electronic version of the textbook; it is your choice if you would also like to own the textbook in print. You may purchase a MyMathLab code either from the bookstore, or on-line while registering at http://www.mymathlab.com. If you prefer to own a hardcopy of the text, the bookstore offers packages of MyMathLab combined with a loose-leaf or hardcover version of the Thomas textbook that is less expensive than purchasing the text and code separately.

PLEASE NOTE: GEORGIA TECH HAS A SPECIAL CODE PACKAGE THAT INCLUDES BOTH TEXTBOOKS. THIS CODE CAN ONLY BE PURCHASED THROUGH THE CAMPUS BOOKSTORES OR DIRECTLY FROM PEARSON. CODES PURCHASED BY OTHER VENDORS WILL NOT WORK Possible ISBNs for this text are: 1269416588, 1269415840, or 1256954721.

Course content:

Topic	Text Sections	Estimated hours
Numerical Integration	8.6 in T	1
ODE's	7.2, 9.2 in T	2
L'Hospital's Rule	4.5 in T	2
Improper Integrals	8.7 in T	1
Infinite Series	10.1-10.6 in T	5
Taylor Polynomials, Taylor Series, Power Series	10.7--9 in T	4
Vectors, Geometry of R^3	12 in T	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

At the conclusion of Calculus II, it is expected that:

Students have mastered basic Calculus concepts, including convergence of integrals and infinite series, Taylor's theorem, and elementary differential equations.
Students have mastered basic linear algebra concepts, including solving systems of linear equations, applying linear transformations, calculating determinants and finding eigenvalues.
Knowledge of the above concepts can be exhibited algebraically and geometrically.
Calculus and linear algebra concepts can be used to solve applied physics, geometry, and numerical approximation problems.
Students are able to use these various techniques to solve applications without a calculator.

Grades: 1 final exam 50%, 4 tests 10% each, homework 10%.

Exams and tests: The final will be 2 hours and 50 minutes. The 4 tests of 50 minutes each will be given during recitation sessions on the following dates:

9/10 (Tue.), 10/1(Tue.), 10/22(Tue.), 11/12(Tue.)

All the exams are "closed book" and "closed notes". You will be allowed to bring with you a one page (8.5 X 11, both sides) "cheat sheet" with anything you want written on it. Please write your exam solutions in ink and circle the final answer of each problem in a box with no corrections inside. Writing exams in pencil would automatically forfeit your right to argue for credits after the exam is given back to you. There will be no make-up for a missed exam, except under provable impossibility to attend the exam. Scientific calculators are allowed.

Homework: Homework will be assigned on-line and will consist of exercise problems on MyMathLab. You are expected to understand all homework problems for the tests. Some of these problems will be discussed in the recitation sessions. In order to increase the effectiveness of recitation, you should attempt the problems before the weekly recitation sections. You may discuss the homework problems with other students in this class, but you are encouraged to complete the homework independently. In general, exercises on MyMathLab will be due roughly one week after they are assigned (except during the first week, class recesses, or as announced in class). No late homework will be accepted.
Letter grade: in general, the letter grade will be given based on the total score (homework + midterms + final) in a curved fashion with the following exceptions:

1. Total score 90/100 or above will always be an A

2. Total score 60/100 or above will always be a C or higher.

Homework assignments: see http://www.mymathlab.com/