Welcome to MAT 132.
Three related topics are studied in this course: integration; differential equations; sequences and series.
The course begins with a review of the definite integral and the fundamental theorem of calculus; integration by substitution and other integration tools are then studied, and many applications of integration are given.
You have already studied the differential equation y'=f(x), where f(x) is a given function of x and y denotes an unknown function; the problem is to solve for y, and the solution is to compute the general anitderivative for f(x). The differential equations we will study usually involve an unknown function y (of x) and its derivative y' (and maybe even its double derivative y''), as well as a known function f(x); and the problem is to find all possible functions y which satisfy the equation. Many applications of differential equations will be studied.
You should be familiar with a sequence of numbers: the Riemann sums which approximate a definite integral are a sequence of numbers which converge to the definite integral. We will study sequences of functions as well as sequences of numbers; and investigate when these sequences converge. Our ultimate goal is to understand how any function may be approximated by polynomials (Taylor series and Maclaurin series).
The schedule and homework problems for the course can be found below.
C or higher in AMS 151 or MAT 131 or MAT 141.
May not be taken for credit in addition to MAT 127 or MAT 142 or AMS 161.
"Single Variable Calculus, Concepts and Contexts" (Special Edition for Stony Brook University), by James Stewart.
| Lec 1 | MWF 9:35am-10:30am | Engineering 143 | Lowell Jones |
| Rec 01 | MW 11:45am-12:40pm | Lgt Engr Lab 152 | Inyoung Kim |
| Rec 02 | Tu,Th 9:50am-10:45am | Lgt Engr Lab 152 | Chaya Rosen |
| Rec 03 | Tu,Th 3:50pm-4:45pm | Lgt Engr Lab 152 | Brad Rosin |
| Rec 05 | MW 10:40am-11:35am | Lgt Engr Lab 152 | Brad Rosin |
| Lec 2 | Tu,Th 2:20pm-3:40pm | Humanities 1003 | Shimon Brooks |
| Rec 06 | Tu,Th 5:20pm-6:15pm | Lgt Engr Lab 152 | Young Nam |
| Rec 07 | MW 2:20pm-3:15pm | Physics 129 | Anant Atyam |
| Rec 09 | Tu,Th 11:20am-12:15pm | Physics 128 | Young Nam |
| Lec 3 | Tu,Th 5:20pm-6:40pm | Library W4550 | Douglas Alexander |
| Rec 10 | Tu,Th 6:50pm-7:45pm | Lgt Engr 152 | Inyoung Kim |
| Rec 11 | MW 3:50pm-4:45pm | Physics 117 | Anant Atyam |
Problem sets will be assigned weekly; check this webpage for the assigments. Note that the solutions to the odd numbered problems appear in the back of the text book. Homework will not be graded, however there should be enough time to go over difficulties your have with the problems in your two weekly recitation meetings.
It is important that you do the homework problems (even though your work will not be graded) for the following reasons: your knowledge of mathematics is a skill which is developed by actually "doing math", not just reading about it; the weekly quizzes, the two midterms, and the final exam will all be based in large part on the assigned homework problems.
You will have one quiz each week in your recitation section, with the following exceptions: no quizzes during the weeks of 2/22-2/26 and 3/22-3/25, because you will have midterms during those weeks; any other exception will be noted at the appropriate time on this website. Each quiz will be fairly short (15-25 minutes); exact time of the weekly quiz and the material to be covered will be decided upon by your recitation teacher. Your first quiz will take place in the week of Feb. 1-Feb. 5.
There will be two evening midterms: midterm I takes place on Wed. 2/24 from 8:30pm-10:00pm; midterm II takes place on Thur. 3/25 from 8:30pm-10:00pm. Room assignments will be announced on this website at a later date.
The final exam is scheduled for Mon. 5/17 from 8:15pm-11:00pm. Room assignments will be announced on this website towards the end of the semester.
Make certain that you will be available at these times, as there will be no scheduled make-ups for these tests or quizzes.
Please note that makeup exams or quizzes are only given if a student misses an exam or quiz for unforseeable circumstances beyond the student's control. In particular, schedule conflicts are not an acceptable reason for missing an exam or quiz.
The solutions for midterm I can be found at solutions for midterm I
The class average for midterm I is 78/100.
If letter grades were being given for this exam (which they are not) then they would be as follows: A,A->89; B+,B,B->79; C+,C>64.
The class average for midterm II is 72/100.
If letter grades were being given for this exam (which they are not) then they would be as follows: A,A->89; B+,B,B->79; C+,C>59.
The final exam is scheduled for Monday 5/17 from 8:15pm-11:00pm. Here are the room assignments for the final exam:
ESS 001: recitations 01,02,03,05
OLDCHEM 116: recitations 06,07,09
OLDENG 143: recitations 10,11
The final exam will focus on topics contained in the following sections of our text book: 7.3-7.4 and 8.1-8.7. A final exam review sheet can be found at review sheet for final exam
A very useful resource is the Math Learning Center (MLC) located in room S240-A of the mathematics building basement. The Math Learning Center is open M,Tu,Wed from 10:00am to 9:00pm, on Thur from 10:00am to 6:00pm, and on Fri from 10:00am to 2:00pm.
Another useful resource are your teacher and grader, whose office hours are listed above.
Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and DSS. For procedures and information go to the following website: http://www.sunysb.edu/ehs/fire/disabilities.shtm
Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, and/or inhibits students' ability to learn.
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 instance of academic dishonesty to the Academic Judiciary. For more comprehensive information on the academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at http.//www.stonybrook.edu/uaa/academicjudiciary/
The following table will be filled in as the semester progresses. Always
refer to it for each week's reading assignment and homework assignment.
| Week | Topic | Notes | Homework | |||
| 1/25-1/29 | 5.1-5.4 | review of definite integral and fundamental theorem of calculus | 5.1: 12,13 | 5.2:1,2,8,17,20,22,34,35 | 5.3:1,4,15,18,39,40,43,48 | 5.4:2,7,10,15,18,23,24 |
| 2/1-2/5 | 5.5,5.6 | 5:5:3,6,9,12-14,25,44,48,50,58,60 | 5.6:2,3,6,8,9,12,17,21,17,30,36 | |||
| 2/8-2/12 | 5.7,5.10 | In section 5.7 we will focus on integrating products of sin(x) and cos(x) and on integrating rational functions | 5.7:1,2,4,5,9,19(a),20(a),21,24,32 | 5.10:6,8,9,13,16,,19,29,33,43,44 | ||
| 2/15-2/19 | 6.1,6.2 | 6.1:6,15,18,29 | 6.2:2,4,7,17,20,32,33,35 | |||
| 2/22-2/26 | 6.3-6.4 | Midterm I on Wed. 2/24 from 8:30pm-10:00pm, covers sections 5.1-5.7,5.10 | 6.3:5,7,8,9,15 | 6.4:7,8,13,15,27 | ||
| 3/1-3/5 | 6.5,6.6 | 6.5:3,5,11,15,21 | 6.6:1,5,7,12,13,21,33,50,51 | |||
| 3/8-3/12 | 6.6(continued),6.7 | 6.6:16,19,27,29 | 6.7:1,2,4,6,7,8,15,16,17 | |||
| 3/15-3/19 | 7.1,7.2 | 7.1:1,3,4,7,9,10,11,14 | 7.2:1,3-6,11,21 | |||
| 3/22-3/26 | 7.3,7.4 | Midterm II on Thur. 3/25 from 8:30pm-10:00pm; the midterm covers sections 6.1-6.6; find a link above for a review sheet; | 7.3:3,8,12,15,19,29,34,45,46 | 7.4:2,4,9,11,13,20 | ||
| 3/29-4/2 | no classes (Spring Recess) | |||||
| 4/5-4/9 | 7.5,8.1 | in problem 15(e) of section 7.5, use the separation of variables technique to solve the DE; do not do the rest of 15(e) | 7.5:1,3,10,15(a)(c)(e) | 8.1:4,6,7,9,11,14,16,20,25,29,32,34, 45 | ||
| 4/12-4/16 | 8.2,8.3 | 8.2:9,12,13,17,19,22,24,25,30, 38,41,52 | 8.3:6,8,9,10,12,15,20,23,26,29, 36 | |||
| 4/19-4/23 | 8.4:5,7,10,11,15,20,22,23,28-30, 37,38 | 8.5:3,7,10,14,15,19,22,25,26, 31,34 | ||||
| 4/26-4/30 | 8.6,8.7 | 8.6:4,8,11,13,23,26,32,37 | 8.7:11,16,17,21,22,29,30,33,43, 51,59,62,64 | |||
| 5/3-5/7 | 8.7(if necessary) and review for final |