Students seeking to be completely online must enroll in Lecture 3 of MAT 126, taught by Prof. Dang, and enroll in one of its associated recitations. If you encounter difficulty doing this on Solar, you can obtain permission to enroll from Prof. Dang or the mathematics undergraduate directior, Prof. Sutherland. The link to the MAT 126 Lecture 3 website is MAT 126.3 Webpage.

(There is no longer any Lecture 2 for MAT 126. That lecture was cancelled over the summer and Lecture 3 was not renamed.)

However, students may submit quiz and midterm answers electronically if they wish. To do this, download and print this MAT 126 Answer Sheet, which contains 30 empty boxes for multiple choice responses (only use as many are needed, e.g., 10 for a quiz). Bring the sheet to recitation with you and fill it in as you work the exam. When the exam is over, photograph the form and email to your TA. Make sure your name and ID number are visible. The exam itself may not be photographed or kept.

Images of the answer sheets should be submitted as a PDF file; there are many apps that will convert a picture to PDF format. For Apple phones there is Genius Scan, which other students have reported works well.

Dept. Phone: (631)-632-8290

Dept. FAX: (631)-632-7631

my homepage

A description of MAT 125 and links to webpages from previous semesters can be found here . If you need to review limits and derivatives, look at Chapters 1-4 of Volume 1 of our current textbook, that can be downloaded from Open Stax Calculus Vol I A Lumen OHM course giving review problems of MAT 125 material can be found here with course ID 44639 and enrollment key 'MAT 125 review'. This is not required and is only made available in case you want to review any MAT 125 topics on your own.

If there is a problem with the above link, two alternatives are: Calculus, Volume 2 and here.

If you prefer smaller files, here are the individual chapters we plan to cover: Chapter 1 , Chapter 2 , Chapter 3 , Chapter 7 . Links to individual sections of the text are given below in the lecture schedule.

Lecture 2 was canceled, so the other lecture is called Lecture 3.

Lecture 3 of MAT 126 is taught by Prof. Dang (Nguyen-Bac.Dang@stonybrook.edu). The two MAT 126 lectures will have similar schedules and exams, and I will try to make it possible for students to view both lectures if they wish, but for grading will be important to regularly attend the lecture and recitation that you are enrolled in.

As per current university requirements for large classes, the twice-a-week lectures will be online via Zoom, but the once-a-week recitation sections led by teaching assistants (TAs), will meet in-person for Lecture 1. Midterms and weekly quizzes will be administered in recitation, so it is important to attend regularly. Times are locations are listed below, as well as contact information for the TAs.

We will use Lumen OHM for homework, so you will need a device with a web browser that can connect to the Stony Brook Blackboard site to access homework. You will also need to access your Stony Brook Google email to receive occasional emailed announcements (these will also appear in the Blackboard announcements for the course).

Assignments in Lumen OHM are automatically graded by the system, so you will see the results right away. You will be allowed multiple attempts to do each problem without a penalty, and to ask for an alternate version of the problem instead. The due dates of these will be the same for everyone in MAT 126, regardless of section, usually on Friday of the week following the week when the relevant material is presented in lecture (but you are encouraged to do it earlier, and even try to do them as soon as we covered the material in class). In general, the Lumen OHM problems only give credit for a correct answer in the correct form; no partial credit.

There are no recitation quizzes in weeks 5, 9 and 13, when we use the recitation meetings to have exams.

Normally, the MLC is a room in the basement (SL level) of the Math Tower where you can go for face-to-face help with teaching assistants and faculty (not necessarily your own instructors). However, for Fall 2020 the MLC will be entirely online. To use the MLC click this link for MLC webpage. You should see a list of tutors who are available right now, and a schedule of who is available throughout the week.

When there are tutors online, there is a zoom link to the session for that tutor. The zoom sessions are set up so that the student needs to be authenticated, usually with SBU netid, and the tutor is supposed to use the waiting room so that they get admitted "on demand" -- typically one student at a time. Each MAT 126 TA is supposed to hold three office hours each week, two of which take place in MLC. You may either seek out your own TA, or get help from whoever is available at the moment (however, TAs from other classes might not have access to MAT 126 textbook or assignments, so you will have to describe the problem to them, or show it to them with the share-screen feature).

Here is a link to check who is holding math department undergraduate advising hours now (questions about placement exams, classes, scheduling,...).

Here is a link to check who in the math departement is having regular (not MLC or advising) office hours now.

Online homework on each week's sections will be assigned in Lumen OHM and due for everyone at the end of the following week. However, it is

Course administration, class webpage, Blackboard, Lumen OHM

Very quick review of limits and derivative (MAT 125)

Table of derivatives. You should know most of these already. We will go over some of these and other material from MAT 125 in the second lecture this week.

Aug 27 problems these are the problems I worked on paper during lecture (problems only, not the solutions).

Section 1.1 Approximating areas

Section 1.2 Integration

integrate.m This is the MATLAB code I ran in class to illsutrate left and right hand approximations to integrals. MATLAB is available on the SBU virtual SINC site. This is not required for class; just to have fun with if you like computers and know how to run MATLAB.

Tue Sept 1 problems only

Tue Sept 1 problems and solutions

Thur Sept 3 problems only

Thur Sept 3 problems and solutions

Section 1.3 The Fundamental Theorem of Calculus

Section 1.4 Integration Formulas and the Net Change Theorem

Section 1.5 Substitution

Precalculus Review Reiview of area and volume formulas and useful trig formulas.

Tue Sept 8, notes and problems

Tue Sept 8, notes, problems and solutions

Thur Sept 10, notes and problems

Thur Sept 10, notes, problems and solutions

Lumen OHM participation problems for Sept 10 are optional, since we did not do them in class.

Section 1.6 Integrals involving Exponentials and Logarithms

Section 1.7 Integrals Resulting in Inverse Trigonometric Functions

Tue Sept 15, notes and problems

Tue Sept 15, notes, problems and solutions. We spent most of this lecture discussing the contents of Quiz 3 and just started Section 1.6. We will complete Section 1.6 on Thursday and do Section 1.7 (which is short; just 3 main formulas). Since we did not have time in class to do any Lumen OHM questions, I will not count the Lumen partipation grade for Sept 15.

Thur Sept 17, notes and problems

Thur Sept 17, notes, problems and solutions

Sample problems for midterm We will do these in class.

Sample problems for midterm and solutions notes from class.

Sample of Quiz 2 with answers

Sample of Quiz 3 with answers

Chapter 1 review from textbook Odd numbered questions have answers in back of textbook on page 727. See also exercises in "Chapter 1" section of Lumen OHM page in Blackboard (near bottom of page).

Midterm 1 will be 30 multiple choice question on six pages:

1st page 5 problems is on Sigma notation and Riemann sums

2nd page is 5 problems on estimating Riemann sums of a graphed functions (like Quiz 2)

3rd page is 5 T/F problems on properties of integrals and 3 matching graphs of f and its integral F

4th page is 4 problems on properties of integral of a graphed f (like Quiz 3)

5th page is 3 word problems involving graphs (like Quiz 3)

6th page is evaluating 6 integrals by substitution (3 definite and 3 indefinite)

Section 2.1 Areas between curves (Thursday lecture)

Sept 24 notes and problems We will do these in class.

Sept 24 note, problems nd solutions Marked version from class.

Section 2.2 Determining Volumes by Slicing

Section 2.3 Volumes of Revolution: Cylindrical Shells

Sept 29, Midterm 1 results, notes and problems

Sept 29 notes, problems and solutions

Oct 1 notes and problems, Quiz 5 review

Oct 1 notes, problems and solutions, Quiz 5 review

Section 2.4 Arc Length of a Curve and Surface Area

Section 2.5 Physical Applications

Oct 6 notes and problems, HW 6, arclength, surface area

Oct 6 notes, problems and solution

Oct 8 notes and problems, physical applications, Quiz 6 review

Oct 8 notes, problems and solution

Section 2.6 Moments and Centers of Mass

Oct 13 notes and problems, Center of mass, Theorem of Pappus

Oct 13 notes, problems and solutions.

Oct 15 notes, Midterm 2 review

Oct 15 notes, Midterm 2 review, solutions

Chapter 2 Review from textbook

Sample of Quiz 4

Sample of Quiz 5

Sample of Quiz 6

Midterm 2 is in recitation next week: 25 multiple choice questions on 6 pages.

Page 1 is 4 integrations involving exponential, logarithms, inverse trig functions (Similar to Quiz 4).

Page 2 is 2 matching formulas for area between graphs to appropriate figures, and then finding two area from the figures (similar to Quiz 4).

Page 3 is 4 problems matching formulas to pictures of volumes of revolution (similar to Quiz 5).

Page 4 is 4 problems on volumes of revolution: 2 on setting up and evaluating for the disk method and 2 on setting up and evaluating using the shell method (Similar to Quiz 5).

Page 5 is 5 problems on volume, arclength and area: 1 problem finding a volume given the base and cross sections of aregion, 2 problems setting up and evaluating an arclength integral, and 2 problems setting up and evaluating area of a surface of revolution (Similar to Quiz 6 and some homework problems).

Page 6 is 4 problems on physical applications: 2 on worked needed to lift slices and 2 on finding mass of aa disk given a density (Similar to Quiz 6 and problems worked in lecture)..

Section 2.7 Integrals, Exponential Functions and Logarithms

Section 2.8 Exponential Growth and Decay

Oct 20, notes and problems

Oct 20, notes, problems and solutions.

Oct 22, notes and problems, Review for Quiz 7

Oct 22, notes, problems and solutions.

Section 3.1 Integration by Parts

Section 3.2 Trigonometric Integrals

Trig Integration Strategies

Section 3.3 Trigonometric Substitution

Oct 27, notes and problems,

Oct 27, notes, problems and solutions,

Oct 29, notes and problems, Review for Quiz 8

Oct 29, notes, problems, and solutions

Trig Integration Strategies

Section 3.4 Partial Fractions

Section 3.7 Improper integrals

Wikipedia page on Heavyside method for computing partial fractions.

Nov 3, notes and problems. This lecture will be pre-recorded. I will take questions about it in the live lecture on Thur Nov 5. Partial fractions.

Nov 3, notes, problems. and solutions Marked with solutions from pre-recorded lecture.

Nov 5, notes and problems. Improper integrals.

Nov 5, notes, problems and solutions.

Section 3.5 Other Strategies for Integration (tables of integrals, computer systems)

Section 3.6 Numerical Integration.

Review for Midterm 3.

Nov 10 notes

Nov 10 notes and annotations

Nov 12 -- Midterm review

Nov 12 -- Midterm review with solutions

MATLAB script for comparing numerical integration rules

Textbook's Table of Integrals

CRC Table of Integrals

CRC Standard Mathematical Tables and Formulae

Virtual SINC Site

Horizon VMware This needs to be installed before using the virtual SINC Site. >

DoIT Software Catalog

MAT 331, Fall 2018 my course using MATLAB (other instructors may use diffferent software)

Chapter 3 Review from textbook

Sample of Quiz 7 with answers

Sample of Quiz 8 with answers

Sample of Quiz 9 with answers

Midterm 3 is in recitation next week: 25 multiple choice questions on 6 pages.

Page 1: 2 indefinite integrals using integration by parts, 1 problem using theorem of Pappus

Page 2: 3 problems on Newton's law of cooling.

Page 3: 5 questions on centers of mass. Compute area, give integrals for M_y, M_x, give values for x and y coordinates of the center of mass.

Page 4: 5 problems on partial fractions. First four problems all deal with integrating one function: do long division to reduce a rational function with a quadratic denominator, find the two coefficients A,B for partial fraction and then evaluae integral. Fifth problem is to match a formula to a graph.

Page 5: 4 problems on improper integrals. There are two integrals. For each one you first evaluate an indefinite integral and then evaluate a related improper integral.

Page 6: 5 questions on trig integral. The first three just ask you to choose the correct strategy, just like on Quiz8. You may bring the a sheet of notes like on Quiz 8. The last two problems are to first set up an integral related to arclength and then evaluate it using a trig integral (your sheet of notes may be helpful).

Section 7.1 Parametric Equations

Section 7.2 Calculus of Parametric Equations

Tuesday Nov 17 notes and problems Introduction to Parametric Equations

Tuesday Nov 17 notes, problems and solutions

Thursday Nov 19 notes and problems Calculus of Parametric Equations: tangents, area, arclength

Thursday Nov 19 notes, problems and solutions

Thanksgiving break, no classes Mon-Fri.

Course grades, final exam

Section 7.3 Polar Coordinates

Section 7.4 Area and Arc Length in Polar Coordinates

Tuesday, Dec 1 notes

Tuesday Dec 1, marked notes

Thursday, Dec 3 notes

Final is online via Lumen OHM and is open book.

It will be cumulative over all sections covered in MAT 126.

https://www.wolframalpha.com/

https://www.khanacademy.org/math

https://www.purplemath.com/

https://www.minutemathtutor.com/

http://patrickjmt.com/

http://www.mathispower4u.com/

Wikipedia page on calculus.

Wikipedia page on Issac Newton.

Wikipedia page on Newton-Leibniz controversy.

Wikipedia page on the discovery of the planet Neptune (using only mathematics).

Wikipedia page on Gauss.

Wikipedia page on Pappus.

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