MAT 125

Spring 2009

 

 

Make sure you know what room you are in, what recitation # you are in, your TAs name.

Bring school ID.

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Final Exam Information

 

Locations   TBA – continue to check the course website http://www.math.sunysb.edu/calculus/mat125/schedule.shtml

 

 

Material to know

 

The final will concentrate on the following sections:

3.6 Implicit differentiation

deriv where y is mixed in, we attach a y’, derives of inverse trig (memorize the 6)

3.7 logarithmic differentiation
know your log rules

 

3.8 linear approximation
find eq of tan line thru a point to approx the value of a nearby y value that is on the original function

4.2 Max, Min
find where derivs are =0 and also where undefined – these are our critical numbers, figure out which ones are max, min

 

4.3 Graph sketching

Get crit numbers, find intervals, set up number lines, get test points, determine int of inc, dec, conc up, conc down. Determine max, min, pts of infl. Sketch. We’ve done this a million times!

4.5 L’Hospital

Whenever you get an indeterminate form, get function into a single fraction, derive num and denom (not using chain rule), repeat if necessary.

4.6 Optimization

ID which eq (if more than one) needs to be maximized or minimized. Any other eq have to be “shoved” into that eq. take deriv, set =0, plug back into originals to get corresponding variables.

 

BUT OF COURSE

You should still know things from the previous sections!

eq of tan line thru a pt, product rule, quotient rule, chain rule, derivs of exp functions and ln, know all your graphs for their behavior, limits

 

 

 

FORMAT OF EXAM

 

There will be about 8 questions. Two or three related to the material of the first two midterms (Up to section 3.5). The other exercises will be on the sections mentioned above. Like in the midterms the problems will be small variation on exercises from the book.

Without a calculator, Newton's Method is difficult to appreciate. There will be no questions from the section 4.8 and 4.9.

 

Review questions

 

For Wednesday

3.6 ( 7 , 16 )

3.7 ( 6 , 9 , 27 )

3.8 ( 5 , 9 )

4.2 ( 9 , 15 , 25 , 37 )

 

 

 

For Friday

4.3 ( 19 )

4.5 ( 13 )

4.6 ( 5 )

 

2.5 ( 18 – 21 )

2.6 ( 9 )

3.4 ( 18 )

3.5 ( 16 )

 

 

 

 

 

 

 

 

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More info at:  http://www.math.sunysb.edu/calculus/mat125/

Here is the schedule and HW assignments:    http://www.math.sunysb.edu/calculus/mat125/schedule.shtml

 

MAT 125:  Calculus A                  Stony Brook,  Spring 2009

Text: Single Variable Calculus (Stony Brook Edition), by James Stewart.
This is the same book as Stewart's Concepts and Contexts, 3rd ed, but with a different cover and a lower price (a new copy should be about $100 in the bookstore or Stony Books). This same book is used by MAT125, MAT125, MAT127, MAT131 and MAT132; Suffolk Community College also uses this book, but with the other cover.

Calculators: You may find using a graphing calculator helpful. However, be careful how you use it. Many students become dependant on their calculators, and wind up being unable to do anything without them. In this course, no calculators will be allowed on exams.

About this course: The goal of this course is to develop your understanding of the concepts of Calculus and your ability to apply them to problems both within and outside of Mathematics. Functions are presented and analyzed as tables, graphs, and formulas. You need to continue to develop your proficiency at manipulating formulas and equations, which are the language of science. Fluency in this language is essential for success in science or engineering.

Homework: You can not learn calculus without working problems. Expect to spend at least 8 hours a week solving problems; do all of the assigned problems, as well as additional ones to study. If you do not understand how to do something, get help from your TA, your lecturer, your classmates, or in the Math Learning Center. You are encouraged to study with and discuss problems with others from the class, but write up your own homework by yourself. Specific problem assignments can always be found on the web at http://www.math.sunysb.edu/calculus/mat125. See the web page for more details.
Each week there will be approximately 15 homework exercises assigned. They are related to the material discussed in class that week. You have to hand in the homework during the recitation the next week, just on paper. Out of the homework only three will be graded.

Reading: The textbook is intended to be read. Read the assigned sections before the lecture! This will greatly increase your comprehension, and enable you to ask intelligent questions in class. Furthermore, the lectures will not always be able to cover all of the material for which you will be responsible.

Examinations and grading: There will be two evening exams, and the ever-popular final exam. The dates and times are listed below; the locations will be announced in lecture. Success on the exams will require correct and efficient solutions to the more difficult of the homework problems. Part of your grade will be based on class participation in both recitation and lecture.

Make sure that you can attend the exams at the scheduled times; make-ups will not be given. If you have evening classes, resolve any conflicts now. If one midterm exam is missed because of a serious (documented) illness or emergency, the semester grade will be determined based on the balance of the work in the course.

Math Learning Center: The Math Learning Center, in Math S-240A, is there for you to get help with Calculus. It is staffed most days and some evenings-- your lecturer or TA may hold some of his or her office hours there. A schedule should be posted outside the room and at the Math Undergraduate Office.

Disabilities: If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact Disability Support Services at http://studentaffairs.stonybrook.edu/dss/ or (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.

Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website:

http://www.stonybrook.edu/ehs/fire/disabilities.shtml

Academic Integrity: Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at

http://www.stonybrook.edu/uaa/academicjudiciary/