Local Extrema

HOMEWORK:  Page 178 - 179, #'s 3, 7 through 14.

NOTE:  Keep reading ahead.  Mr. D. is taking over and covering section 4.3 on Monday!!!

Increasing & Decreasing Functions

We started chapter 4 today in class.  Make sure you read the examples in your text that are associated with section 4.1

HOMEWORK:  Page 169 - 171, #'s 3, 5, 6, 7, 8 and 11

*** Try and read ahead, the plan is to get into section 4.2 tomorrow. ***

Ch.3 Review Questions

You are highly encouraged to work on the following problems this weekend in preparation for Monday's class and the Unit Test which is being written on Tuesday next week.

Suggested Review Problems for Ch. 3:  Pages 156 - 159

#'s 1, 2, 3, 4, 5, 13, 28 and 30 cover material based on section 3.1

#'s 6, 7, 8 and 26 are concepts from section 3.2

#'s 9, 14, 15, 17, 18, 19, 20, 21 and 23 are the optimization problems from sections 3.3/3.4.

I promise to check the blog on a regular basis this weekend.  If you post any questions I will certainly get back to you over the course of the day.

Have a great weekend!  See everyone on Monday afternoon for REVIEW!!!!!

Optimization Probelms in Economics & Science

Please, please, please try the homework problems.  Remember, the only way you are going to build your confidence in these type of problems is to attempt them.

REMINDER:  UNIT TEST on CHAPTER 3 next MONDAY, March 26th.

Optimization Probelms (Day 1)

We took a look at a few examples today involving maximizing and minimizing certain measures.  This process is commonly called finding the OPTIMAL value.  In other words we looked at Optimization problems. 

We will continue to study from this section and 3.4 over the course of this week with a test now scheduled for next MONDAY, March 26th.

HOMEWORK:  Page 145 and 146, #'s 7, 8, 10 and 11.

Minimum & Maximum Values on an Interval

Once again the calculus concepts in this section are pretty straight forward.  Find the derivative, set it to zero, solve for the variable to find where the horizontal tangent occurs.  You must remember to test the endpoints of the interval though as the true absolute max/min could occur at an endpoint rather than where f'(x) = 0.

HOMEWORK:  Page 135 - 138, #'s 1, 4, 5, 6, 7, 8, 9 and 10.

NOTE 1)  Make sure you go back and read the work out examples on pages 132 - 134

NOTE 2)  In preparation for our classes after the March Break please read over section 3.3 and 3.4 (it make take a couple of times through) in order to get an idea of the Application Problems that we will be covering.  Some are real doozies.

Velocity and Acceleration

We wrapped up section 3.1 today in class.  Please make sure you go back and re-read the 5 examples that are in your text for this section.  Bring any questions that you may have to class tomorrow and we will answer them before we move on to section 3.2.

HOMEWORK:  Page 127 - 129, #'s 3aef, 4, 7, 8, 10, 11, 14 and 16

Higher Order Derivatives

We started section 3.1 today in class.  Below are the lesson notes that were generated.

HOMEWORK:  Page 127, #2  (Try a couple of them...get a good variety of functions)

NOTE:  We will finish section 3.1 in class tomorrow by looking at how a position function s(t) is linked to the veclocity function v(t) and now the acceleration function a(t).  Keep reading to stay ahead of me.  It will certainly make the conversation in class make more sense!

Parking Lot (II)

I just wanted to leave a clean post for this weekend should anyone have questions from material that they were studying.

I also wanted to give a shout out to any and all Spartan Athletes that are competing at OFSAA Championships in the coming days.  All the best to the Sr. Boys Basketball team as well as those individuals who will be competing as part of the Wrestling team.  GOOD LUCK!!!!

Chain Rule

We have reached the end of chapter 2 now that we have covered the Chain Rule for differentiating composite functions.

HOMEWORK:  Page 105 - 106, #'s 1, 2, 4bef, 7, 8acf, 10, 11, 12, 15 and 16

NOTE:  Tomorrow will be a review period where you can ask any questions that you may have been holding onto.  Your Unit Test for Chapter 2 will take place on Monday, March 5th.