Spring 2013 Math 12 Home Page

Green Sheet for Mon/Wed class.
Green Sheet for Tue/Thu class.

This is the web site for both the Mon/Wed and the Tue/Thu Math 12 classes that I teach.

Class 21, Wed/Thu., June 18,19
We went over sections 9.3 and 9.4

Chapter 9 Powerpoint questions that we've been doing in class.

Here's the list of final exam study subjects from a previous quarter, we probably won't get to chapter 10 and we may have some other modifications also, :
1 question from Ch. 1: Exponential and linear functions; for example: find the exponential and linear functions through two given points.
3 questions from Ch. 2: Rate of change / Derivatives (algebraic/data/geometric) /2nd derivative / Marginal revenue and marginal profit
5 questions from Ch. 3: Differentiation / polynomials / exponential and logarithmic functions / chain rule / product and quotient rules / sines and cosines
3 questions from Ch. 4: Max and min / inflection points / applications / elasticity / logistic functions
3 questions from Ch. 5: Definition of integral / area under curve / applications / fundamental theorem
2 questions from Ch. 6: Average value / surplus / present and future value / relative rates of change
4 questions from Ch. 7: Antiderivatives / substitution / fundamental theorem / graphical analysis 
2 questions from Ch. 9: Partial derivatives / compute from a table / contour diagrams / algebraic calculation
1 questions from Ch. 10: Differential equations / logistic functions as solutions of certain differential equations 

Chapter 9 Homework:
Ch. 9.1: # 2, 3, 4, 10, 17
Ch. 9.2: # 2, 4, 5– 8, 18, 23, 26
Ch. 9.3: # 1, 8, 12, 17, 18, 20, 24
Ch. 9.4: # 1, 2, 8, 10, 14, 16, 18, 22, 30
Ch. 9.5: # 2, 5, 9, 14, 16, 18, 20

Chapter 7 Powerpoint questions that we've been doing in class.
Chapter 6 Powerpoint questions that we've been doing in class.

Class 20, Th./Mon., June 12,16
We went over sections 9.1 and 9.2

Class 19, Tue,Wed June 10,11
We went over sections 7.4 and 7.5

Class 18, Th./Mon. June 5,9
We went over sections 6.3 and 7.3

Class 17, Tue,Wed., June 3,4
We went over section 6.1 and 6.2

Class 16, Th./Mon. May 29/June2
We went over section 7.2 and the exam.

Class 15, Tue,Wed May 27,28
We had exam 2 and began chapter 7. We skipped chapter 6 for the time being, but will go back to it.

Class 14, Wed/Thu, May 21,22
We went over sections 5.4 and 5.5
Exam 2 is next week, Tues and Wed.

Chapter 5 Powerpoint questions that we've been doing in class.

Study guide:
Exam 2 will cover section 3.3 through 5.3.
(1) Use the chain rule to find the derivative, using either formulas, graphs, or tables of values.
(2) Use the product and quotient rules to find derivatives of functions, using formulas or tables of values.
(3) Find the derivatives of sine and cosine functions.
(4) Find local or global maxima and minima of functions.
(5) Find and use inflection points and concavity of a function.
(6) Maximize or minimize profit or revenue using marginal cost and marginal revenue functions.
(7) Calculate average cost and compare to marginal cost.
(8) Calculate elasticity of demand and relate to revenue.
(9) Use the logistic function.
(10) Use the surge function.
(11) Use velocity function to find accumulated change in distance.
(12) Calculate the definite integral of a function from a formula, graph, or table of values.
(13) Use the definite integral to find areas.

Class 13, Mon/Tues, May 19,20
We went over sections 5.2 and 5.3. We had a quiz on cost and marginal cost calculations.

Chapter 5 Homework
Ch. 5.1: # 1, 4, 6, 8, 10, 11, 12, 14
Ch. 5.2: # 1, 4, 6, 8, 10, 11, 12, 14
Ch. 5.3: # 5, 6– 9, 10, 13, 14, 17, 18, 19, 20, 28, 29
Ch. 5.4: # 2, 4, 6, 7, 14, 19, 20, 26, 27, 33
Ch. 5.5: # 1– 4, 8, 9, 11, 13

Chapter 6 Homework
Ch. 6.1: # 2, 4, 5, 6, 12, 16, 19, 21
Ch. 6.2: # 1, 2, 4, 5, 8, 11, 12
Ch. 6.3: # 2– 6, 12, 14, 15
We skipped chapter 6.4 ( # 2, 3, 5, 10, 11, 17, 18)

Chapter 7 Homework
Ch. 7.1: # 4, 9, 16, 17, 23, 24, 32, 37, 43, 56, 59, 65
Ch. 7.2: # 1– 40 multiples of four, 41, 43
Ch. 7.3: # 1– 19 multiples of three, 23, 28, 32, 34, 37, 38, 41, 44
Ch. 7.4: # 1, 4, 5, 14, 15, 21, 24
Ch. 7.5: # 2, 3, 7, 10, 11, 14, 17, 18, 24– 27

Class 12, Wed/Thu May 14,15
We went over chapters 4.7, 4.8, and 5.1
Homework for chapter 4 is due either Tues. or Thursday of the coming week.

Class 11, Mon/Tue May 12, 13
We went over chapter 4.5 and 4.6.
Please work on homework through section 4.6.

Chapter 4 Powerpoint questions that we've been doing in class.
Chapter 3 Powerpoint questions that we've been doing in class.

Class 10, Wed/Th, May 7,8
We did a quiz on derivatives and went over material in sections 4.3 and 4.4.

Class 9, Mon, Tue., May 5,6
We went over sections 4.1 and 4.2.

Ch. 4 Homework
Ch. 4.1: # 2, 3, 5, 8, 9, 12, 16, 20, 23, 28, 31, 36.
Ch. 4.2: # 3, 4, 5, 8, 13, 18, 25, 26, 27, 29, 32.
Ch. 4.3: # 3, 4, 5, 10, 15, 20, 23, 26, 32, 36, 40, 41, 45
Ch. 4.4: # 2, 3, 5, 6, 8, 18, 21, 24
Ch. 4.5: # 2, 3, 4, 6, 7, 10, 14
Ch. 4.6: # 1, 2, 5, 6, 10, 11, 13, 15, 19
Ch. 4.7: # 1, 3, 5, 6, 9, 11, 16
Ch. 4.8: # 1, 2, 3, 4, 7, 13

Class 8, Wed.,Thu. April 30, May 1
We went over section 3.5 and had first exam.
Chapter 3 will be due next Wed., Thu.

Class 7, Mon/Tue April 28,29
We went over section 3.3 and 3.4.

Class 6, Wed/Thu April 23/24, 2014
We went over homework problems from chapter 2.
We also went over section 3.1 a bit more, and section 3.2 on derivatives of exponential and logarithmic functions.
Please turn in chapter 2 homework Mon/Tue if you did not turn in this week.
First exam is next Wed/Thu.

Class 5, Mon/Tue April 21/22, 2014
We went over sections 2.5, the appendix section of chapter 2, and section 3.1.
Please turn in homework for chapter 2 either Wednesday/Thursday of this week, if you want to get it back next Monday/Tuesday; or if you don't mind having your homework to use to study for your first exam, you may turn it in next Monday/Tuesday.

Here are the
Chapter 2 Powerpoint questions that we've been doing in class.
Chapter 1 Powerpoint questions that we've been doing in class.

Class 4, Wed/Thu April 16/17, 2014
We went over sections 2.3 and 2.4.

Class 3, Mon/Tue April 14/15, 2014
We went over chapter 1 homework and sections 2.1 and 2.2.

Here are chapter 2 and 3homework assignments. Chapter 2 is due to be turned in when we finish chapter 2, probably next Wed for MW class, next Thu. for TT class, but we will discuss each homework assignment in the next class.
Ch. 2.1: # 2, 4, 5, 6, 7, 9, 13, 16, 17, 18, 20
Ch. 2.2: # 3, 6, 8, 10, 14, 17, 21– 24, 26, 29
Ch. 2.3: # 3, 4, 6, 9, 16, 17, 24, 30, 32, 42
Ch. 2.4: # 3, 6, 10, 12, 16, 18, 20, 23, 26, 27
Ch. 2.5: # 2, 5, 7, 8, 10, 11, 12, 15
Ch. 2 Focus on Theory: # 1, 3, 4, 6, 7, 9, 11, 12, 14, 16, 17, 19, 20

Ch. 3.1: # 1, 7, 8, 17, 19, 24, 27, 31, 40, 46, 51, 56, 57, 58, 61
Ch. 3.2: # 3, 16, 21, 26, 29, 30, 34, 38, 43, 45
Ch. 3.3: # 1, 5, 6, 10, 19, 25, 26, 32, 42, 44, 46, 48, 49
Ch. 3.4: # 3, 4, 5, 18, 24, 26, 34, 35, 38, 42, 44
Ch. 3.5: # 1, 2, 8, 14, 21, 23, 25, 28

Class 2, Wed/Thu April 9/10, 2014
We went over material from chapter 1 and some of the chapter 1 review problems.

Here are the chapter 1 review problems, due next Monday or Tuesday.

By the way, I give pretty much the same class each Monday and Tuesday, or each Wednesday and Thursday, in case you are missing class and want to make up a missed class. However, right now the classes are both very crowded.

Here are the
Chapter 1 Powerpoint questions that we've been doing in class.

Class 1, Mon/Tue April 7/9, 2014
We went over material from chapter 1.