IMPORTANT NOTICE TO MY STUDENTS!!!! EMAIL ME!!!!

**Professor:** C. Sormani (200B Gillet Hall 1-4pm Wednesdays)
sormani (at) comet lehman.cuny.edu
**Webpage:** http://comet.lehman.cuny.edu/sormani/teaching/175s06.html
**Prerequisite: ** MAT 172 (C+ and up strongly recommended),
* All students are encouraged to attend an
Intensive Precalculus
Review Session offered by the department in the second-third
week of classes. *

**Corequisite: ** MAT 155 to learn Maple Classic
*You must be registered for a section of MAT155 to take this course.*
**Text:** Larson, Hostetler and Edwards, Calculus
(Early Transcendentals)

Houghton Mifflin, *Do not buy the single variable version.*

Textbook's Webpage at college.hmco.com
** Supplies:** A spiral notebook of graph paper for notes.
A cheap scientific calculator with buttons for sin, cos, tan,
Ln, and Log. A more expensive calculator which can differentiate will
not be permitted.

** Homework:** Approximately 2 hours of homework will be assigned
each meeting and additional review assignments will be given on weekends.
I will be adding additional homework beyond that assigned on
the official syllabus which will below under each lesson.

** Timing: **
This syllabus corresponds directly to the MAT 155 syllabus and should
not fall more than one lesson behind schedule. Students who need extra
help on any topic should go to the department's tutoring center.

** Grading: **
Exam I is 30 percent, Exam II is 30 percent, Final is 35 percent,
Classwork 5 percent. Students who are not prepared to take Calculus II
will not be passed. Students who plan to take Calculus II should
aim for A's. Math majors should be sure to learn all the proofs.

**Syllabus:**

P.3/1,3,5,7,11, 35; D3/5,7,19,31,51 (go to the Math Lab for help)

D3 is available online

P.6/1,3,5,7,11, 17, 49, 53, 71

P.5/19, 39, 65, Quantifiers Worksheet: 1-10 with cosine.

Read 1.2 carefully, 1.2/11,13,15,19,21, 23, 29

Read 1.2 carefully, 1.2/25, 27, 29, 31, 33, 49, 51,

Extra Credit: 1.2/53

Math majors should read A28-A31.

1.3/1,3,5,11,13, 43, 45, 53, 99

Complete all reviews of precalculus material for the assessment quiz which will be used to determine if you are prepared to continue in calculus. A sample precalc final complete with solutions can be used to study.

Read 1.3 Example 8

1.3/37,39, 57,69, 79, 83, (Extra Credit: 118, 120, 121, 125)

Office Hours cancelled. We will go over homework on Monday.

1.5/1,3,9,11,13,15,31,33, 39, 45, 47

Office hours cancelled.

1.4/1,3,5,11,29, 31, 41, 45

Extra office hours 1-4 pm today and Wednesday.

1.3/ read examples 9 and 10, do 1.3/ 69,

These problems are examples so do them without looking at the solutions!

P.2/ Examples 1, 3,

P.3/ Examples 1,2,

P.5/ Examples 2,3, 5

P.6/ Example 6,

1.2/ Examples 2, 3, 4,

1.3/ Examples 3, 6, 7, 9, 10

1.4/ Examples 1, 4,

1.5/ Examples 1, 2, 4

HW due Lesson 11: Read Intermediate Value Theorem (p93) Do 1.4/ 91, 104,

Read P.3/Examples 1 and 4, Do P.3/51, 53,

Read P.2 pages 10-11, Do P.2/1,5,31

Read 1.3/Examples 7, 8 and 10, Do 1.3/55, 59. 83, 85

Read 2.1 pages 112-114 Do 2.1/1,3, 27a, 29a, 5, 7,

Read 2.1 pages 115-119, Do 2.1/ 11, 21, 39-42, 47, 71, 75

Read pages 123-129, Do 2.2/5,7,11,17,21,23,49, 53, 55

Catch up on all homework and go to the lab for help on 2.1

2.1/look at figure 2.11, 2.12 and 2.13 and read about them,

then do 2.1/73, 75, 77, 79

Review Homework on Inverse Functions in P.5/1, 5, 7, 9-12, 13, 19

2.3/1,3,7,11,15,23,29,35,37,41,49,51,67,

2.4/11,21,49,57,65,81

Catch up on all homework and prepare for the extra credit quiz by memorizing the cheat sheet, studying all material from the precalc quiz, Exam I and differentiation using limits. You can study the sample precalc final complete with solutions, the exercises listed above for Exam I and Section 2.1.

Implicit Differentiation (2.5-2.6)

2.5/read 2.5 study Example 1 and 4 carefully, Do 1,7,13,21,25

2.6/ Read 2.6, Do 2.6/7,9,50c

Memorize the rules on page 173 rules 1-7, rules 9-10, rules 13-15, and understand how to apply the rules you don't memorize. Chap 2 Review/9,43,45,49,51,55,57, 59,63, 67, 73, 87

2.2/91, 93, 95, 101, 2.3/77, 79, 103, 105,107,

2.6/13 and 15 using the rules on page 171,

2.7/5,7,13,15, 25, 27, (do this hw in the math lab)

Chap 2 Review/43, 51, 57, 67, 73, 87

Problems on the Exam will be similar to the following

2.2/3,4,9,11; 2.3/2,3,4, 10

2.4/3, 6, 10, 12; 2.5/1, 4,

2.1/2,5,6,7; 2.6/ Proof on p 171; 2.7/4,5

Most students need to practice the chain rule, so it is recommended for everyone to redo the homework on the Chain rule. If you are still shaky at precalc, then you need to study that material first and foremost, espcially rational functions before the next section of the course.

3.1/1,11,13, 15, 19, 23, 31,

3.2/31,35, 41, 59; 3.3/1,3, 17, 27

3.4/1,3,5,19,23,27, 29

3.5/1,3,5,7,9,19, 23; 7.7/27, 29, 33, 35

Choose 5 of 3.7/9, 15, 19, 43, 49, 53, 57, 63

A/1, 7, 9, 13, 15, 23, 25,

4.1/5,7,21, 31, 43, 53, 55, 57 see also pages 130-131 and page 142.

**If you scored above an 80% on Exam II**, you
will need four study sessions.

First session: Look over Exam II,
make sure you understand everything you got wrong, then
do practice homework from the sections you had trouble
with for an hour. Similarly look over Exam I quickly.
Memorize the precalculus cheat sheet and the rules on
page 173 mentioned above.
The following examples can be taken as a practice of Exam I-II
material:

P.2/3, P.5/3, P.6/6, 1.2/2,3,4, 1.3/7,10, 1.4/1, 1.5/3,

2.1/5, 2.2/4 2.3/2,4, 2.4/3,10, 2.5/2, 2.7/4,

Second Session: you will need to dedicate as much time as you can to
study the new material. Study 3.1 and 3.3 and then do these
examples like a practice exam:

3.1/1,2,3 3.3/1,2,3,4,

Third Session: once you have mastered 3.1 and 3.3,
focus on the last two sections we've been studying in class.
Having reviewed the precalculus, these examples should be easier:

3.7/1,2 A/2,5,6 (also in class optimization problems)

Fourth Session:
Go back and study examples:

3.4/1,2, 3.5/2,5 7.7/2,3

Bring questions to the review session on Monday.

Finally reinforce your knowledge of this new material by
trying the examples as if they were exam problems.
Get plenty of sleep the night before the exam and
spend last minute moments of review on the rules of
differentiation.

**If you scored 60-80% on Exam II**, you will need 6 study sessions.

Study Session 1: dedicate your first study session
to your Extra Credit Exam. Make sure you understand what you
got wrong and try examples in the text from those sections.

P.2/1,3, P.3/1,2,4, P.5/3, P.6/6, 1.2/2,3,4, 1.3/3,6,7, 1.4/1, 1.5/1,2,3,4

If you have trouble with trigonometry go through
Section D Online.

Keep reviewing the precalculus sheet and the rules on page 173 mentioned
above.

Study Session 2: Next go to Exam II and see which problems you had
trouble with.
The corresponding sections are listed next to the problem.
Recommended examples to review for each section are listed
below. Study the examples and then try them without looking
at the solutions in the book:

2.1/1,2,5, 2.2/3,4,5,6,7,8,9

2.3/1,2,3,4,5,6,

2.4/2,3,6,10,12; 2.5/1,2,4,8

2.6/ Proof on p 171; 2.7/1,4,5

Study Session 3:
Once you have mastered the sections you didn't know, give a quick
run through the following examples to reinforce all material
from Exam II as if they were an exam:

2.1/5, 2.2/4 2.3/2,4, 2.4/3,10, 2.5/2, 2.7/4

Study Session 4: you will need to dedicate as much time as you can to
study the new material. Try these examples and check your work
against the textbook:

3.1/1,2,3 3.3/1,2,3,4,

Study Sessions 5-6: the following topics
will also be on the final. Choose the ones you understand
best and skip those that will take too long:

3.7/1,2 A/2,5,6 (class notes on optimization)

3.4/1,2, 3.5/2,5 7.7/2,3

Remember sleep is more important than studying everything. You
want to do what you know well. Sleep gives your brain time
to register what you have learned. Dreaming about math means
you are processing the knowledge.

*
If you scored below a 60% on Exam II you need at least
seven study sessions:
Study Session 1: Begin by reviewing the precalculus worksheet. Make sure
you understand it and that you could fill in all the information
without looking at it. Then review the following examples:
P.2/1,3, P.3/1,2,4, P.6/5,6,
and do the following exercises:
P.2/1,5,7,9, P.3/1,3,51,53, P.6/7,9,11
If you have trouble with trigonometry go through
Section D Online.
Session 2: Review the following examples:
1.2/2,3,4, 1.3/3,6,7, 1.4/1, 1.5/1,2,3,4, 2.1/1,2,5,
then go over Exam I and make sure you understand your mistakes.
Remember never write an equal sign between two equations which
are not equal! Be careful to rewrite lim on every line as needed.
Session 3: Memorize page 173 rules 1-7, rules 9-10, rules 13-15.
Then test your ability to use these rules by trying the following
examples and then checking your work against the book:
2.2/3,4,5,6,7,8,9
2.3/1,2,3,4,5,6,
Session 4: Focus on the chain rule. Study the following examples
and then try to do these examples without looking at the chain rule:
2.4/2,3,6,10,12; 2.5/1,2,4,8
2.6/ Proof on p 171; 2.7/1,4,5
Session 5:
Now you will need to dedicate as much time as you can to
study the new material. Here are crucial examples:
3.1/1,2,3 3.3/1,2,3,4,
Sessions 6-7:
The following topics
will also be on the final but can not be learned without a strong
understanding of the prior material. Choose the ones you understand
best and skip those that will take too long:
3.7/1,2 A/2,5,6
3.4/1,2, 3.5/2,5 7.7/2,3
Remember sleep is more important than studying everything. You
want to do what you know well. Sleep gives your brain time
to register what you have learned. Dreaming about math means
you are processing the knowledge.*

** Extra Review for Final:** Monday May 22 9:30-10:30 am

**Final**: Wednesday May 24 8:30-10:30 am

The final will be given during Finals Week covering
the entire course especially topics needed in future courses.