Please find the syllabus here.

Please find the tentative schedule here.

Note: If you compare our schedule to the schedule for the semester, you will find that we are covering 2 or 3 semester lectures in one summer lecture. So make no mistake, the summer school course is much more intensive than the semester course. Plan your time wisely and don't take too many summer courses in order to avoid getting exhausted or stressing out.All announcements are put on sakai only. Please make sure that you have the right email address registered.

Course Notes:

- Lecture 1 on Wed. May 28.
- Lecture 2 on Fri. May 30.
- Lecture 3 on Mon. June 2.

For more experience dealing with exponential functions, please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch01_SE.pdf

Read Section 1.8, try all example problems, and do Exercise 59 - 84 on page 88 in the pdf file (page 88 in the book).

For more experience playing with logarithmic functions, please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch10_SE.pdf

Please read Section 10.5 on page 45 in the pdf file (page 733 in the book), try all example problems, and do Exercise 44 - 61 on page 51 in the pdf file (Page 740 in the book).

- Lecture 4 on Wed. June 4.
- Lecture 5 on Fri. June 6.
- Lecture 6 on Mon. June 9. The solution to the attendance quiz is on page 6 and 7. Please learn how to organize your solution. Also please notice that Webwork Homework 2 is due the next day. Please start right away.
- Lecture 7 on Wed. June 11. If you don't want to write lim_{h\to 0} all the time, the last page shows a legally lazy way.
- Lecture 8 on Wed. June 13. Please make sure you memorize everything in red before you attempt any webwork problems in HW4.
- Lecture 9 on Mon. June 16. In case you are still confused about the chain rule, please watch Herbert Gross's video lecture.
- Lecture 10 on Wed. June 18: Midterm 1. Solutions. People not doing well in Midterm 1 are welcomed to attend the second chance club. Please find the details here.
- Lecture 11 on Fri. June 20. Please try your ability of modeling by doing the suggested homework problems in 3.7.
- Lecture 12 on Mon. June 23. I kind of rushed through Section 3.8. Hopefully you guys undertand what I talked about.
- Lecture 13 on Wed. June 25. Sorry for keeping the pace fast and for the lack of example problems. Hopefully next lecture we will be able to do some problems.
- Lecture 14 on Fri. June 27. Please read Page 10 for additional comments. I was not able to cover examples other than polynomial functions, e.g., trigs, ln and exps. Hopefully at the recitation tomorrow I will be able to provide more examples.
- Recitation on Sat. June 28. The notes was written based on what I was asked. Please read Page 3 to 5 to learn how to solve polynomial inequalities, as it might be used to find the intervals where a given function is increasing or decreasing.
- Lecture 15 on Mon. June 30. Please understand the example of graph-sketching thoroughly.
- Lecture 16 on Wed. July 2: Midterm 2. Solutions. People not doing well in Midterm 2 are welcomed to attend the second chance club. Please find the updated details here.
- Lecture 17 on Mon. July 7. No course notes available since I decided to use the blackboard for lecturing. Basically I am covering the example problems in the textbook. Please read the book for reference. Also please memorize the three step story: modeling to get the function and domain; find the absolute extrema; formulate the answer. The last step is really crucial! Don't answer a question that is not asked!
- Lecture 18 on Wed. July 9. Please practise the computation of indefinite integrals. Make sure you are familiar with the integrals in the formula table.
- Lecture 19 on Fri. July 11. The last page shows the anecdote. Don't use the first two ways to compute after you know substitution!

For the next two lectures, after finishing 5.5 and talking about the last 3 webwork problems in HW9, I'll start to go over Professor Greenfield's General Review Questions. Answer to these questions can be found here. These questions just serves to recall the knowledge. Nothing beyond that should be assumed. I am not allowed to give any actual exam problems before the final. - Lecture 20 on Mon. July 14. The solutions to the optimization problems are included. Please take your time to study them.

Here is Solutions to more Webwork Problems (9.4, 9.11, 10.1). Riemann sum will not be a topic of exam.

Don't worry about the exam too much. As long as you are comfortable to the older exam problems, you should ace!

Here is the Type of questions in the final. - Lecture 21 on Wed. July 16. No course notes available since blackboard is certainly more suitable for reviewing. Basically I was going over Professor Greenfield's review problems.
- Recitation on Thur. July 17. Here are the questions I was asked during the recitation. They don't have any necessary link to the actual problems in the finals.
- Lecture 22 on Fri. July 17: Final Exam. Solutions. All final exams are scanned and uploaded to sakai dropbox. Please review them and in case you have complains, please let me know by 11:59 PM, Thursday, July 24th. Also please check the grades on the sakai gradebook. If there is any mistake, please let me know as soon as possible.
- The letter grades have been released according to the new gradebook item "ActualTotalGrade", where you will find all the computations concerning second chance clubs. Please check the correctness of the computation and inform me any error by 11:59PM Sunday, July 27th. The letter grades will be submitted to the registrar on Monday July 28th.

Please find Professor Eric Schechter's articles for undergraduate students here:

- Common errors in math
- Why study calculus?
- What are "real numbers," really?
- Infinity: introduction and history

Please find the basic rules: http://www20.csueastbay.edu/library/scaa/files/pdf/Alg%20rules.pdf

It is required that you know these rules well.

If you have difficulties in these algebra issues, a series of link is provided for help.

If you don't know how to manipulate logarithm, please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch10_SE.pdf

Please read**Section 10.5**on page 45 in the pdf file (page 733 in the book), try all example problems, and do**Exercise 44 - 61**on page 51 in the pdf file (Page 740 in the book).

If you are not very fluent with the quadratic equations (e.g. always use the root formula), please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch08_SE.pdf

Read**Section 8.1, 8.2**, try all example problems, and do**Exercise 66 - 83**on page 23 in the pdf file (Page 573 in the book). Make sure you understand all the related methodsIn particular, if you have never seen criss-cross factorization before, please check the youtube videos

Criss-Cross Method 1, Criss-Cross Method 2, Criss-Cross Method 3 and Criss-Cross Method 4.If you have never seen matrices before, please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch03_SE.pdf

Read**Section 3.6**, try all example problems, and do**Exercise 15 - 23, 46 - 49**on page 51 - 52 in the pdf file (page 227 - 228 in the book).

Read**Section 3.7**, try all example problems, and do**Exercise 2 - 7, 20 - 25, 35 - 40**on page 63 - 64 in the pdf file (page 239 - 240 in the book).

After you work on this topic, try the problems of the attendence quiz at Lecture 15 and you will find it easy to play.If you keep on making mistakes on exponentials, please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch01_SE.pdf

Read**Section 1.8**, try all example problems, and do**Exercise 59 - 84**on page 88 in the pdf file (page 88 in the book).If you don't know how to divide a polynomial, please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch05_SE.pdf

Read**Section 5.3**, try all example problems, and do**Exercise 27 - 42**on page 31 in the pdf file (page 339 in the book).

After you have done the work, please compare to the technique I used on dealing with t/(t+1) or -2-t/(t+1) in class. You will see that this is actually the simplest example of division.If you are not fluent on simplifications of rational functions, please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch06_SE.pdf

Read**Section 6.1 - 6.4**, try all example problems, and do**Exercise 29 - 48**on page 61 - 62 in the pdf file (page 463 - 464 in the book).If you are not fluent on playing with trigonometric functions, please find

http://www.eht.k12.nj.us/~staffoch/Textbook/chapter04.pdf

Read**Section 4.3**, make sure you**memorize the table of the values of sine, cosine and tangent on usual special angles**on page 23 of the PDF file (page 279 in the book)

and do**Exercise 17 - 26**on page 28 of the pdf file (page 284 in the book)

Read**Section 4.5**, make sure you can**recognize, distinguish different graphs of the trignometric functions and manipulate them by scaling and translation**, and do**Exercise 3 - 14, 23 - 16**on page 48 in the pdf file (page 304 in the book)If you are not fluent on factorizing polynomials, please find

http://people.ucsc.edu/~miglior/chapter%20pdf/Ch05_SE.pdf

Read**Section 5.4**, try all example problems and do**Exercise 51 - 70**on page 40 of the pdf file (page 348 of the book) .

Read**Section 5.5**, try all example problems and do**Exercise 9 - 46**on page 52 of the pdf file (page 360 of the book).

Read**Section 5.6**, try all example problems and do**Exercise 43 - 70**on page 61 of the pdf file (page 369 of the book).

Read**Section 5.7**, try all example problems and do**Exercise 1 - 66**on page 67 of the pdf file (page 375 of the book).

If you really do all the exercises, then after that you may probably find yourself addicted to playing such a game. I don't recommend to resist such an addiction. Just do all other exercises and it will accelerate your speed greatly in solving problems in Lecture 8 - 16.

Fei Qi

Room 624, Hill Center

Department of
Mathematics

Rutgers University

110 Frelinghuysen
Road

Piscataway, NJ USA 08854