1. MATH 2413
Summer 2012
12 – 3:15 MTuWTh Room 382
Professor Thomas Jay

2. Northwest College Course Syllabus - Math 2413 Calculus I
Katy Campus Summer weeks (Jun. 4 - Jul. 6)
Section (CRN) Room :00 - 3:15 pm MTWR
Instructor: Mr. Thomas Jay Phone: (713)
Office hours: am
Web site: learning.nwc.hccs.edu
Course description: An integrated study of differential calculus with analytic geometry including the study of functions, limits, continuity, differentiation, and an introduction to integration. Prerequisite: MATH 2412 with a grade of C or better, or consent of the Department Head.
Textbook: Calculus, Larson and Edwards, Ninth ed., Brooks/Cole, Cengage, 2010.
Calculators: A calculator is required for this course. You need at least a scientific calculator. A graphing calculator is recommended.

3. Grading policy: A, 90 - 100; B, 80 - 89; C, 70 - 79; D, 60 - 69; F, below 60.
There will be 4 tests during the semester and a comprehensive final exam. All tests must be taken in order to get a grade. Missed tests must be made up within a reasonable length of time and before the next scheduled test. Please see me if you miss a test. If you decide to drop this class, you must do so prior to June 25 at 4:30 pm. Professors are not allowed to give a grade of W if a student does not drop prior to the drop date. The semester grade will be determined as follows: 70% for tests (top three grades), 30% for the final exam.

4. Textbook Options
HCC Bookstore
Hardcopy Text – new $214
Hardcopy Text – used $161
Hardcopy Text – rental $105
WebAssign Code
WebAssign code (all 3 semesters) $95
WebAssign code $45 - $105
Hardcopy Text – new $155 – 208
Hardcopy Text – like new $129 – 135
Hardcopy Text – very good $107 – 134
Hardcopy Text – rent $49.76

5. WebAssign
WebAssign is available with Calculus. WebAssign allows you to work your assignments online. You can have a sample problem worked for you, get help with your assigned problem, and even look at the text book online. You have two free weeks to try it out. After two weeks, all your work is lost unless you purchase a code.

6. Limits There are three ways to determine a limit. Numerically
Graphically
Analytically

7. Numerical method X -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x) .2911 .2889
.2887
.2884
.2863

8. Graphical Method

9. Analytical method
Usually, the analytical method, or algebraic method, involves substituting the value of the variable into the expression and evaluating. Sometimes that does not yield a limit. In this example if we substitute 0 for x we end up with 0/0. Since division by 0 is not allowed, this does not give us the desired limit. We will discuss later how to do this specific example analytically.

10. Common Types of Behavior Associated with Nonexistence of a Limit

11. Definition of Limit

12. For a given
you can choose
That means
Which proves that the limit is as claimed.