1. MATH 2413
Summer 2017
12 – 3:15 MTuWTh Room 382
Professor Thomas Jay

3. Student Assignments
All homework is assigned in WebAssign. You will be registered in WebAssign on the first day and you will have two weeks to decide which option you wish to choose regarding the purchase of WebAssign. At the end of the two week grace period, you will only be able to continue working in WebAssign by purchasing a code. Homework will count 18.75% of your final grade. There will four tests with no make-up tests given. If you miss a test, the average of your other test grades will be used for that test grade.
Assessments
The semester grade will be determined as follows: 18.75% for homework, 56.25% for tests (lowest grade dropped), 25% for the final exam.
Resources:
Free tutoring is available in the math tutoring center. Additional help is also available through Student Support Services. Students can get free assistance, 24 hours a day, 7 days a week, in Math, English and other subjects, at hccs.upswing.io. Typically, posted questions are answered by an HCC tutor or faculty within 24 hours (usually under 6 hours). There are also several online math resources that you can find with an internet search. CalcChat.com provides step-by-step solutions to all odd-numbered exercises. LarsonCalculus.com has videos, proofs, examples, and other esources. A student solutions manual is not necessary. You may also find information on the Learning Web site accessible through your specific HCCS campus website. WebAssign also contains help. You may also find information on the Learning Web site accessible through your specific HCCS campus website.

4. Textbook Options
HCC Bookstore
Hardcopy Text – used no WA $225
Hardcopy Text – rental used no WA $120
Loose-leaf Text w/WA $184
WebAssign code (all 3 semesters) $125
e-text rental $47.99
WebAssign code 1 term $100
WebAssign code 3 terms $125

5. Resources
CalcChat.com provides complete solutions to all the odd-numbered exercises in the text. This is a free website maintained by the author. LarsonCalculus.com is a new website provided by the author that offers multiple tools and resources.

6. WebAssign
WebAssign is required. 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 until you purchase a code. You will be given a username and password and already be registered for the WebAssign class.

7. Learning Web

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

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

15. x
1.9
1.99
1.999
2.001
2.01
2.1
f(x) x
1.9
1.99
1.999
2.001
2.01
2.1
f(x)
2.95
2.995
2.9995
3.001
3.01 x
1.9
1.99
1.999
2.001
2.01
2.1
f(x)
2.95
2.995
2.9995
3.0001
3.001
3.01 x
1.9
1.99
1.999
2.001
2.01
2.1
f(x)
2.95
2.995
2.9995
3.01 x
1.9
1.99
1.999
2.001
2.01
2.1
f(x)
2.95
2.995
2.9995 x
1.9
1.99
1.999
2.001
2.01
2.1
f(x)
2.95 x
1.9
1.99
1.999
2.001
2.01
2.1
f(x)
2.95
2.995

16. Graphical Method

19. 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.

20. Simplifying the expression when

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

22. Definition of Limit

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