Professor Sormani, Fall 2007

If you've never seen the movie "Stand and Deliver", rent it now and watch it with your family so they know what you're up to.

Functions Project, Inverses Project, Unit Circle Project, Credit Card Project are 5% each totalling 20%,

The final is 30% of the grade.

** Lesson 1 (Mon 9/10):** A.3, A.5 - Review Polynomials and Factoring

Homework was handed out on a sheet
** Weekend Review:** A.2 and A.4, Check the answers to all
your homework in the back of the book.

Read A.2 and A.4 on your own. Then do:

A.2/11, 13, 15, 21, 23, 27, 29, 31, 49, 69, 85, 89, 91

A.4/31, 33, 35, 37, 43, 49, 59, 73, 75,

** Lesson 2 (Mon 9/17):** A.1, A.6 - Review Intervals and Inequalities*

Do each problem and then check the answer in the back,
if your answer is wrong, look at a similar example in the section
and try again:

A.1/19, 25, 29, 31, 47, 49, 57, 75

A.6/1,3,5,7,9,11,21,25,37,49,53,99,101,151,159

** Lesson 3 (Wed 9/19):** 1.1- Graphs of Equations
1.2- Linear Equations in Two Variables

1.2/1, 3, 9, 21, 55, 67, 1.1/9, 11, 13, 23, 29

** Lesson 4 (Mon 9/24):** 1.3- Functions
1.4 Analyzing Graphs of Functions
*
Functions Project: 1.1/Read page 7, do 1.1/57, 59, 63, 67, 74
and 1.2/ Read page 19, do 1.2/39, 87, 91, 13, 17, 81 due 10/1 *

1.3/1,3,7,9,15,19,21,27,31,33,37,49,51, 59, 63, 87, 93, 95

1.4/ 1,3,9,11,13,15,17,21,31,33,35,37,53,61,63,65

** Lesson 5 (Wed 9/26):** 1.5 A Library of Functions

1.5/1,3,5,29, 31, 37, 41, 43, 45, 63

4.3/1,3,5,7,9,11,13,17,57,59

** Lesson 6 (Mon 10/1):** 1.6- Shifting, Reflecting, and Stretching Graphs*

1.6/1,5,9,11,13, 17,21, 25,27, 31, 33, 39, 43, 63

** Lesson 7 (Wed 10/3): ** Review for Exam I ***

** Preparing for a college exam (4 study sessions):**
First 1-2 hours: quickly look through your old notes and
homework. Mark down anything that confuses you and email me!
(sormani at comet.lehman.cuny.edu). It may be an extra topic
not on the exam. Next two hours: do the following examples
as if they were problems on an exam (do not look at your notes).
Then check your answers. Third study session: study everything
you got wrong when you tested yourself and again you can email me
with questions. This study session could be long or short depending
on how you did on the practice. The night before the exam: look over
this list of review problems again focussing on 1.1-1.6 and get
plenty of sleep. When you are asleep you are processing knowledge.
Without sleep, you will forget what you learned and also have
a higher chance of making stupid mistakes. Aim for a perfect score!

A.2/ Examples 1, 6, 10, 13, 15

A.3/ Example 5, Example 6,

A.4/ Examples 2, 3, A.5/ Example 4,

A.6/ Examples 1, 2, 4, 5

1.1/ Example 3, Example 5, Example 7,

1.2/ Examples 4, 5, 7,

1.3/ Examples 1, 2, 3, 4, 5, 6

1.4/ Examples 2, 3, 4, 6, exercise 53, 61, 93,

1.5/ Examples 2, 3, exercise 37, 43, 49,

1.6/ Examples 1, 2, 3, 4,

If you like to work slowly ask your parents if you can stay late on the day of the exam.

A.5/ 83, 85, 87,

Read 1.7, Do 1.7/ 5, 9*, 27, 35, 37, 39, 43, 51, 53, 55, 59

Read 2.1/Examples 1-2 Do 2.1/1,3,5,7, 43, 45, 17, 19, 31

Read 2.1/ Example 2 Do 2.1/17, 19, 23, 25, 29, 31

On Monday there will be 30 a thirty minute quiz which will be very similar to Exam I. You will need to do the problems that you did incorrectly on Exam I in order to improve your score. To study for this quiz study the sections and examples corresponding to the problems you got wrong on Exam I: (1) A.2, A.3, A.4 (2) A.6 (3) A.6 (4) 1.3 and A.6 (5) 1.3 and A.6 (6) 1.4 and A.6, (7) 1.2, (8) 1.5 and 1.6, (9) 1.1, (10) 1.5-6

Read 1.8, do 1.8/1,3,13, 15, 17, 25, 27, 31, 39, 41, 63

1.8/19, 21, 22, 43, 45, 46,

2.3/5, 7, 13, 37, 49, 73

Emphasize graphing y=f(x) versus y=1/f(x) 4.2- Trigonometric Functions: The Unit Circle, Mention the pythagorean identity

1.8/ 23, 49, 53

2.2/1,3,5,7,41,90, 2.6/5,7,9,21,31

4.1/13,17, 19, 25, 27, 37, 39, 41, 47, 59, 87, 89

finish the unit circle project, 4.2/5, 13, 55

Review for Right Triangle Trigonometry

4.2/1,3,5,7,9,11,13,15,21,27,43,45,49,51

4.3/1,3,5,7,9,13,17,49,51,57,(59), 61

4.4/1,3,11 3.3/25, 91 Extra Credit 4.1/67a, 71a

4.6- Graphs of other trigonometric functions (review 2.6)

4.5/1,3,7,9,13,71; 4.6/1-6

4.7/1,3,11,37,41 and catch up on Monday HW

1.7/4,5, 1.8/6,7, 2.1/2,4, 2.2/4,5,6, 2.3/1,2, 2.6/3,6,

4.1/3,4,5, 4.2/ page 274 unit circles, 4.3/4,5, 4.4/5,chart on p 294

4.5/2,3, 4.6/1, 4,5, 4.7/pages 322-325

on sections 1.7, 1.8, 2.1, 2.2, 2.6, 4.1-4.6

5.1/1,31,99 5.2/1,3,5, 5.4/1,3,7,37,51

Read 4.7 focussing on 326-327, Do 1.7/41, 1.8/49,63, 4.7/43,47,49,53,61,99

4.6/78, 3.1/1,3,7-10, 43, 45, 47, 55, 63

3.2/1, 3, 9, 11, 13, 17, 19, 21, 23, 25, 39, 47, 65, 67, 73

3.3/19, 21, 23, 29, 37, 45, 47, 51, 61, 63, 65, 69, 71, 89, 97

3.1/ 49. 57, 65, 67, 3.2/5, 7, 3.4/7, 11, 19, 23, 27, 29, 31, 35, 37, 87, 91, 109, 111, 127

6.1/1,7,25*,29,43, 6.2/1,3,43,45, 6.3/63,

6.3/1,3,7,13,15,19,67,87, 6.4/1,5,9,15,25,31

Review A.2, do A.2/5,9,11,31,33,

Schedule three 2 hour study sessions before taking the practice final:

Study Session I: Go over Exams I and II and study the problems you got wrong. Then try similar problems from the homework and examples in the textbook. Review the examples recommended above each exam. Make sure you have memorized how to compute sine and cosine functions using the unit circle and know sin(30), sin(45), sin(60) etc. Study adding vectors and finding their magnitudes and unit vectors.

Study Session II: Memorize the addition formulas and memorize the law of sines and cosines. Practice the following examples:

5.1/2,5,8, 5.2/4,5, 5.3/1,2, 5.4/1,4,6a, 5.5/1,4, 6.1/1,4,5, 6.2/1

Study Session III: Next memorize the laws for exponentials and logs and then practice the following examples:

3.1/2,3,7,8, 3.2/4,7,9 3.3/3,4,5,6 3.4/3,7,8,9,10

Credit Card Project/Example 1,

Inverses of Exponentials and Logs Project/Example

If there is a formula you have difficulty memorizing practice rederiving it.

Then take the Practice Final as a two hour exam.