# MAT 1316.01, Business Math II, Summer 2, 2014

## Advice because I love you like you are my own:

```You MUST be able to multiply and factor polynomials to succeed
in this class! You must also be proficient with properties of exponents.
If any of the problems on Factoring, or Simplifying give you trouble,
then you need to spend some time right away brushing up
your basic algebra skills. You can always use the sections recommended in the
text for review. Here are some websites with practice problems. You might try these
as well. Keep reviewing until you can multiply, factor and simplify the polynomials
given in the Chapter Warm-up and in the first assignment from section 9.1.

Algebra Practice Material:

Practice Problems on factoring and multiplying polynomials

A good review, examples, and test problems on factoring

Multiplying Binomials with the FOIL method
Multiplying Other Polynomials
Factoring a difference of two squares
Factoring Polynomials One
Factoring Polynomials Two
Factoring Polynomials Three
Factoring Polynomials Four
Factoring Polynomials by Grouping

Good Problems for practice from our text:
On Multiplying, Adding and Subtracting Polynomials:
Section 0.5, problems 13-65 odd; Chapter 0 Review, pg 52, problems 45-61

On Factoring and Simplifying Polynomials:
Section 0.6, problems 1-57 odd; Section 0.7 1-21 odd; Chapter 0 Review, pg 52, problems 63-73,77

On Properties of Exponents:
Section 0.3, problems 1-55 odd; Section 0.4 11-31 odd; Chapter 0 Review, pg 52, problems 21-31
----------------------------------------------------------------
Good links to a site that explains the concepts and works examples:

On Integer Exponents and Properties
On Rational Exponents and Properties
On Adding, Subtracting and Multiplying Polynomials
On Factoring Polynomials
On Simplifying Rational Expressions
---------------------------------------------------------------

HW1:  Factoring Practice Handout; 9.1 #'s 1-9,15-27,33,35 odd; 9.2 #'s 1-17 odd; R&S 9.3
Some algebra practice examples
Old 9.1 lecture notes and examples
Due: Tuesday, 5/13
---------------------------------------------
HW2:  9.3 #'s 7,15,17; R&S 9.4 & 9.5
Old 9.2 lecture notes and examples
Due: Wednesday, 5/14
---------------------------------------------
HW3:  9.4 #'s 1-29; 9.5 #'s 1-7,11-19; 9.6 #'s 5-15; R&S 9.7 & 9.8
Old 9.4 lecture notes and examples
Old 9.5 lecture notes and examples
Old 9.6 lecture notes and examples
Good site with extra explanations and examples of derivative shortcut rules.
Good site with extra practice problems of derivative shortcut rules.
Good site with extra practice problems of of the product and quotient rules.
Good site with extra explanations and examples
of the chain rule (section 9.6), but only examples 1,2,3,17 will make sense.
The rest of this site involves functions we haven't dealt with yet in Business Calc.
Due Thursday, 5/15
---------------------------------------------
HW4:  9.6 17-21,27,29; 9.7 1-37; R&S 9.8 & 10.1
Old 9.7 lecture notes and examples
Due Friday, 5/16
---------------------------------------------
Some old quiz keys that have good example problems like you will have on Monday's test:
Problems with limits and continuity
Problems with derivatives
More problems with derivatives
---------------------------------------------
Monday's Test:
Any problems that have been assigned as homework are potential test questions. You should
know how to work all homework problems. In addition, remember that I have essentially
guaranteed that several problems will be on the exam. These include:
1) the limits and continuity of a function from the graph problems
(like homework problems from 9.1 and 9.2 and diagnostic quiz 1).
2) Finding the derivative of a function by the definition of the
derivative (like homework problems from 9.3 and diagnostic quiz 2).
3) Finding the equation of a tangent line to a function
(like homework problems from 9.3 and diagnostic quiz 2).
4) Finding derivatives using the shortcut rules
(like homework problems from 9.4, 9.5, 9.6, 9.7 and diagnostic quiz 3).

Remember to bring your calculator and up to 3 study sheets for Monday's test!
---------------------------------------------
HW5:  9.8 #'s 1-27; Sign-graph handout
Old 9.8 lecture notes and examples
Due Tuesday, 5/20
---------------------------------------------
HW6:  10.1 15,17,19,31,33,35; 10.2 13-21 odd; 10.3 25
Old 10.1a lecture notes and examples
Old 10.1b lecture notes and examples
Old 10.1c lecture notes and examples
We will have a diagnostic quiz over this homework tomorrow!
Due Wednesday, 5/21
---------------------------------------------
HW7:  10.3 7-17,27,29,33,35,41 odd;
Old 10.3a lecture notes and examples
Old 10.3b lecture notes and examples
Old 10.3c lecture notes and examples
Old 10.3d lecture notes and examples
We will have a diagnostic quiz over this homework tomorrow!
Due Thursday, 5/22
---------------------------------------------
HW8:  11.1 1-11,23-35,43; 11.2 1-35,47
Old 11.1-2a lecture notes and examples
Old 11.1-2b lecture notes and examples
Old 11.1-2c lecture notes and examples
Due Friday, 5/23
---------------------------------------------
Some good links on brushing up on equation solving skills:

Equation Solving Refresher 1
Equation Solving Refresher 2
Equation Solving Refresher 3
Equation Solving Refresher 4
Equation Solving Refresher 5
Equation Solving Refresher 6
Equation Solving Refresher 7

---------------------------------------------
Good Problems to know how to do for our 2nd test:

9.8 all
9.9 none
sign graph problems - VERY important (with shortcuts for testing regions)
10.1 all, but 31 & 33 are VERY important!
10.2 all, but 19 and 21 are VERY important!
10.3 all, but 17,27,29,33,35,37, and 41 are all VERY important!
11.1 all except for problem 35.
11.2 all
----------------------------------------------
Remember to bring your calculator and up to 3 study sheets for Monday's test!
---------------------------------------------
HW9: 11.3 #'s 7-23 odd; 11.4 #'s 1-7,17,19; 14.1 #'s 9,13,25; 14.2 #'s 1-17odd;
Old 14.1-2 lecture notes and examples
Helpful examples: Examples 1a, 2a, 2c, 3 and 4a are things like we did in class.
Due Tuesday, 5/27
---------------------------------------------
HW10: 14.2 #'s 27,29,31,37,39;
14.3 #'s 7,9;
14.4 #'s 9,13,19,29,23,15;
Old 14.2-4a lecture notes and examples
Old 14.2-4b lecture notes and examples
Old 14.2-4c lecture notes and examples
Note: The above set of notes has the work to problem 29 on 14.4. Check your work against it
to see where you made a mistake if you don't get the textbook answer. There are many other good
examples worked out in this set of notes!
Due Wednesday, 5/28
---------------------------------------------
HW11: 12.1 #'s 5-31 odd; 12.2 #'s 3-31 odd;
Old 12.1 lecture notes and examples
A YouTube movie of one of my old lectures on 12.1. Skip around to find the problems that are most helpful to you.

Helpful examples: Examples 1a-f are great. Ignore anything else - there are some things
here we don't usually cover in a Bus. Calc. class.
Due Thursday, 5/29
---------------------------------------------
HW12: 13.2 #'s 1-23 odd; 13.4 1,3,5; Try the following problem:

If my Profit function is P(x) = -0.0025x^4 + 0.8x^3 -50x^2 - 2050x - 4000
then answer the following two questions:

1) What is my total profit for x from 150 to 200 items?

2) What is my average profit per item for the same values of x?

Someone asked me to put some things to help on the website. Here they are:
Chapter 14, Section 2, Problem 37
Some examples of evaluating functions of two variables.

Test 3 Material:
1) From 11.4 I will include a related rate problem (similar to problem 17 on 11.4)
2) Any of the homework we did from 14.1, 14.2, 14.3, and 14.4.
3) Any of the homework problems from 12.1, 12.2, 13.2, 13.4
4) A problem similar to the one given above.

Remember to bring your calculator and up to 3 study sheets for tomorrow's test!
Also remember that we will meet in the Physical Sciences building, where we met on Monday.
---------------------------------------------

Note: On all emails for this course, start the subject line out with
MAT1316, followed by whatever else is appropriate. Emails without this
subject line formatting may not be accepted!

```