Mr. Evans Calculus

Education B.S. in Mathematics from the

University of Texas at Austin in 1992

M.S. in Education from Wilkes University in 2004

2013 Stem Fellow 15th year here at H-H

Siemens STEM Fellows 2013

Calculus Functions (piece-wise) Polynomial Functions Continuity and Intermediate Value

Theorem Derivative The Chain Rule, General Power Rule Implicit Differentiation Related Rates Integration

Example : What dimensions for a one liter cylindrical can will use the least amount of material?

We can minimize the material by minimizing the area.

22 2A r rh area ofends

lateralarea

We need another equation that relates r and h:

2V r h

31 L 1000 cm

21000 r h

2

1000 hr

22

10 02 02A r rr

2 20002A rr

2

20004A rr

Example : What dimensions for a one liter cylindrical can will use the least amount of material?

22 2A r rh area ofends

lateralarea

2V r h

31 L 1000 cm

21000 r h

2

1000 hr

22

10 02 02A r rr

2 20002A rr

2

20004A rr

2

20000 4 rr

2

2000 4 rr

32000 4 r

3500 r

3500r

5.42 cmr

2

10005.42

h

10.83 cmh

Sample ProblemLuke and Leia are trapped inside a rectangular trash compactor on the Death Star. The side walls are moving apart at 0.1 m/sec, but the end walls are moving together at 0.3 m/sec. If the volume of liquid inside the compactor is a constant 20 cubic meters, find the rate at which the height of the liquid is changing when the side walls are 5 m long and the end walls are 3 m long.

Homework Policy HW assigned almost every day Homework will be checked daily

(2 points per assignment) A “best effort attempt” must be made in order to

get any credit for an assignment. Homework = Home + Work Extra Help always available Assignments posted at

http://www.hatboro-horsham.org/hhhs

GradesQuarter Grades Total points

from all HW, CW, Tests and Quizzes

Semester Grades 1st and 2nd MP

count 40% each Final counts 20%

Test Redos

Students are allowed to retake any test for full credit.

They must demonstrate that they have done work to relearn the material.

Test retakes will be offered on Thursdays, students must make an appt with me to make up a test.

ReTests will be new tests with different problems. Might be harder than original.

My Style Interactive, participation

encouraged Lots of Demos (both in

class and online) Work in pairs and groups

daily Math need not be boring