MAT 1221Survey of Calculus

Exam 2 Info

http://myhome.spu.edu/lauw

Tutoring Bonus Turn in your tutoring bonus record Be sure to write down your name. Get a new one for the final exam

Reading Bonus Bring your quizzes next Monday.

Exam 1 Date and Time: 5/11 Monday (5:30-6:50

pm) Section 3.1-3.4, 4.3, 4.5, 6.1 Total Points: 80 points The same seating arrangement as last

time

Calculators Absolutely no share of calculators.

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

NO cell phone or PDA Your instructor will not answer any

question related to calculators.

Expectations Provide details such as formula steps. Simplify your answers. Provide units. Check and Double Check your solutions

Minimum Expectations

3.1 Able to find critical points, intervals of

increasing/decreasing.

Expectations of Solution Steps1. Find the critical numbers2. Sketch a diagram of the subintervals

formed by the critical numbers3. For each subinterval, pick a point and

compute 4. on the subinterval is increasing on the subinterval

1

2

3

3.2 Able to find local extrema using the first

derivative test.

3.2 Able to find absolute extrema using the

closed interval method.

The Closed Interval Method To find the absolute max/min values of a

continuous function f on a closed interval [a,b]:1. Find the values of at the critical numbers of f in . 2. Find the values of at the end points.3. The largest of the values from steps 1 and 2 is the

absolute maximum value; the smallest of those values is the absolute minimum value.

The Closed Interval Method To find the absolute max/min values of a

continuous function f on a closed interval [a,b]:1. Find the values of at the critical numbers of f in .

(Be sure to check that…)2. Find the values of at the end points.3. The largest of the values from steps 1 and 2 is the

absolute maximum value; the smallest of those values is the absolute minimum value.

1 2

3.3 Able to find intervals of concavities,

inflection points. Able to find local extrema using the

second derivative test.

1

2

3.4 Able to solve word problems related to

optimization.

Word Problems1. Draw a diagram.2. Define the variables and the function

we need to optimize. 3. Simplify the function and state the

range of the variable. 4. Use the appropriate tests to find the

optimal value. 5. Make a conclusion.

1

4.3, 4.5 Able to find derivatives of exponential

and logarithmic functions.

6.1 Able to find antiderivatives.

Notation

Cxxdx 236

The notation always comes in pair.

Remark on the integral notationUse parenthesis if there are two or more terms in a sum or difference.

2( 1)x dx2 1x dx

Word Problems You are expected to formally answer all

the word problems. Be sure to include the units in the formal

answer statement.

Expectations #1 Simplify before taking derivatives.

Simplify the answers. #2 Formally answer the question in full

sentences.