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

Northwest College Course Syllabus - Math 2413 Calculus I Katy Campus Summer 2012 5 weeks (Jun. 4 - Jul. 6) Section (CRN) 81875 Room 382 12:00 - 3:15 pm MTWR Instructor: Mr. Thomas Jay Phone: (713) 718-5845 Office hours: 9 - 10 am e-mail: thomas.jay@hccs.edu 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.

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.

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

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.

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

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

Graphical Method

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.

Common Types of Behavior Associated with Nonexistence of a Limit

Definition of Limit

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