Professor Sormani, Spring 2006

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.

Exam I is 15%, Exam II is 20%, Classwork is 5%,

Max/Min Project, Inverses Project, Trig Project, Credit Card Project Inverses of Functions with Exponenetials Project are 5% each totalling 30%,

The final is 30% of the grade.

** Lesson 1 (1/30):** A.3, A.5 - Review Polynomials and Factoring

Homework was handed out on a sheet

** Lesson 2 (2/1):** 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

** 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 3 (2/6):** 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 (2/8):** 1.3- Functions
1.4 Analyzing Graphs of Functions

1.1/Read page 7, do 1.1/57, 59, 63, 67, 74

1.2/ Read page 19, do 1.2/39, 87, 91, 13, 17, 81

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

*No meeting 2/13 Lehman is closed.*

** Lesson 5 (2/15):** 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

* No meeting during winter recess*

** Lesson 6 (2/27):** 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 (2/29): ** 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

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

Note that from here on the syllabus has been changed because half the class will be gone 3/27 and 3/29, since those students were confident about their trig I've put trig before exponentials and moved Exam II back to 4/10. This made Exam II cover more material so it is now 20% of the final grade. There is also no natural place for a third exam so I have increased the amount of graded homework projects so that homework will now be 30% of the course. We end the course on 5/24 as planned.

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)

1.8/ 23, 49, 53

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

Online Unit Circle Project will be started in class and due 4/3.

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

1.7, 1.8, 2.1, 2.2, 2.6, 4.1-4.7

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

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

6.1/1,7,25*,29,43, 6.3/1,3,7,13,15,19,67,87

6.2/1,3,43,45, 6.3/63, 6.4/1,5,9,15,25,31

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

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

Schedule three 2 hour study sessions before Monday:

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 the Max-Min project particularly problems 1,2,7,8.

Study Session II: Then go over 4.7 pages 326-327 carefully. Then memorize the addition formulas, learn how to rederive the double angle formulas from them, 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. Bring questions to Monday's review class.

Check out a Practice Final. There will be more exponentials on your final. Get plenty of sleep the night before the exam.