MAT 1234Calculus I

Exam 1 Info

http://myhome.spu.edu/lauw

Exam 1 Date: 10/23 Friday Time: 2:00-2:50pm

Exam 1 Information Section 1.4 – Section 2.4, Maple Absolutely no share of calculators. Bring

extra batteries, extra calculators. It is your responsibility to bring a workable calculator.

Do not store any information in your calculator.

You are expected to use correct notations.

Major Themes Slope of the tangent line at a point on a graph can be

approximated by a limiting process. (The same apply to other rate of change problems in physical sciences.)

The derivative of at a point :

The derivative of as a function: Limit Laws and Differentiation Formulas

( )f x

( )f x

0

( ) ( )( ) limh

f a h f af ah

0

( ) ( )( ) limh

f x h f xf xh

Important Concepts Left-hand limits and right-hand limits. exists if is continuous at a point if is differentiable at a point if exists

lim ( )x a

f x

lim ( ) lim ( )x a x a

f x f x

lim ( ) ( )x a

f x f a

Important Skills Evaluate limits by using algebra (not

estimate) Finding derivatives using limits and

formula

Expectations Must show the “formula” step when using

the product/quotient rules

2 2

2 2

2

( ) (4 1) (3 1) (4 1)(3 1)

2 1 2 1

2 1

f x x x x x

x x x xy

x

Major Theorems Squeeze Theorem (Know the statement

and how to apply) Intermediate Value Theorem (Know the

statement) If is differentiable at a point , then is

continuous at (Know the statement and able to point out places where is not differentiable)

Maple Maple essentials 1,3,5 Maple commands discussed in class or

used in labs In the past, ….

Review Everything PowerPoint Slides Handout Homework Quizzes – the notes from the graders Quizzes – the solutions

Quiz 1

Quiz 2

Quiz 2

Quiz 3

Quiz 4 Make sure I post the solutions…. It probably will not be returned to you

until next week

Exam 1 = 70 points 6 or 7 questions Each small mistake may cost you 1 to 2

points Each big mistake can cost you 3 to 4

points Each “fatal” mistake can cost you …

Telltale Signs of Cheating Keep looking at … Covering up…. When I turn my back…

Cheating… It is a violation of SPU community

standards of behavior.

…included in the student judicial record in the Office of Student Life.(undergraduate catalog)

Front Matter Make sure you put down the details of

the solutions. No points will be given to answers alone.

No points will be given to graphs or graphical solutions.

Make sure your work is neat, clear and easily readable or you will receive NO credits.

Front Matter Make sure your solutions are complete

and logically presented. Do not skip steps.

Check and Recheck your solutions. Be sure to cross out any scratch works or unwanted materials.

If more than one solution is given, no points will be given to that problem.

Front Matter Points will be taken off for bad notations

or omission of notations. The same mistake can be penalized for multiple times.

If you use the result of a theorem, make sure you state the name of the theorem to justify your solutions.

Allocate your time wisely.