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:

Lesson 1 (Jan 30): Review Functions and Trigonometry (Sections P3 and D3)
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
Lesson 2 (Feb 1): Review Inverses, Exponential and Log (P6 and P5)
P.6/1,3,5,7,11, 17, 49, 53, 71
P.5/19, 39, 65, Quantifiers Worksheet: 1-10 with cosine. Review homework on Trigonometry Online(D3)
MAT155 will deal with all sections of Chapter P in the first 3 weeks
Lesson 3 (Feb 6): Limits (1.1-1.2)
Read 1.2 carefully, 1.2/11,13,15,19,21, 23, 29
Lesson 4 (Feb 8): Limits continued
Read 1.2 carefully, 1.2/25, 27, 29, 31, 33, 49, 51,
Extra Credit: 1.2/53
no class on Monday 2/13 for Lincoln's Birthday so take the time to catch up on what you are missing from Precalc by looking at the official precalc syllabus or my old precalc webpage which has homework. If you are completely lost on the precalc material, drop the class and ask a precalc professor if you can sit in on a class and try calculus again in the Fall.
Lesson 5 (Feb 15): Evaluating Limits and the Squeeze Theorem (1.3)
including Three Special Limits on page 81
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.
Lesson 6 (Feb 21) Quiz on Precalculus
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.
Lesson 7 (Feb 22): Infinite Limits and Asymptotes (1.5) (Prof. Lewittes)
1.5/1,3,9,11,13,15,31,33, 39, 45, 47
Office hours cancelled.
Lesson 8 (Feb 27):Continuity (1.4)
1.4/1,3,5,11,29, 31, 41, 45
Extra office hours 1-4 pm today and Wednesday.
Lesson 9 (Feb 29): Review for Exam I
1.3/ read examples 9 and 10, do 1.3/ 69,
Preparing for the calculus exam (4 study sessions): First 1-2 hours: quickly look through your old notes and homework. Mark down anything that confuses you and go to the math lab Wed and Thursday to ask questions (or my office hours Wed). Next two hours: do the problems below 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 1.1-1.5 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!
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
Lesson 10 (March 6): Exam I on Chapter 1 and Precalc
HW due Lesson 11: Read Intermediate Value Theorem (p93) Do 1.4/ 91, 104,
Lessons 11 (March 8): Tangent Lines (2.1)
Remember it is not enough to understand things in class! You must do the homework on schedule and then study for the exams in the suggested way.
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,
Lessons 12 (March 13): Derivatives using Limits(2.1)
Read 2.1 pages 115-119, Do 2.1/ 11, 21, 39-42, 47, 71, 75
Lesson 13 (March 15): Laws of Differentiation (2.2)
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
Lesson 14 (March 20): The Product and Quotient Rules (2.3)
2.3/1,3,7,11,15,23,29,35,37,41,49,51,67,
Lesson 15 (March 22): Chain Rule (2.4)
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.
Lesson 16 (March 27): Extra Credit Quiz Before Class (9:30 am)
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
Lessons 17 (March 29): Rates of Change, Velocity (pages 130-131) Acceleration (page 142)
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,
Lessons 18 (April 3): Related Rates (2.7)
2.7/5,7,13,15, 25, 27, (do this hw in the math lab)
2.8 on Newton's Method will be done in MAT155
Lesson 19 (April 5): Review on Chapter 2
Chap 2 Review/43, 51, 57, 67, 73, 87
Memorize the rules on page 155
Problems on the Exam will be similar to the following examples from the textbook:
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
Lessons 20 (April 10): Exam II on Chapter 2
Spring Break Key fact: you do not need to use the definition of derivative to find the slope of a tangent line. You can use any law of differentiation to find the tangent line to y=f(x) at x=x₀, just find m=f'(x₀) and then use the formula for the line.
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.
Lesson 21: Extrema and Critical Points (also called critical numbers)
3.1/1,11,13, 15, 19, 23, 31,
Lesson 22: Mean Value Theorem, Increasing/Decreasing (3.2-3)
3.2/31,35, 41, 59; 3.3/1,3, 17, 27
Review Old Homework on Limits (1.5).
Lesson 23: Concavity (3.4)
3.4/1,3,5,19,23,27, 29
Lesson 24: Limits at infinity (3.5) and, if time allows, L'hopital's Rule (7.7)
3.5/1,3,5,7,9,19, 23; 7.7/27, 29, 33, 35
Review Homework on the Definition of Derivative 3.1
Curve sketching (3.6) will be covered in MAT155
Lesson 25: Optimization and Applications (3.7)
Choose 5 of 3.7/9, 15, 19, 43, 49, 53, 57, 63
Lesson 26: Optimization and Business Applications (Appendix A)
A/1, 7, 9, 13, 15, 23, 25,
Lesson 27: Antidifferentiation (4.1) if time allows
4.1/5,7,21, 31, 43, 53, 55, 57 see also pages 130-131 and page 142.
Lesson 28: Review for the final
How you prepare for the final depends entirely on how well you did on the second exam. Remember if you've been doing well you want to do even better so give yourself the time to put in 8 hours to study over a few days. Everyone, remember to review the precalculus cheat sheet and page 173 rules 1-7, rules 9-10, rules 13-15, constantly. This could be posted in the bathroom for you to review every night before bed.

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.