General Information

NOTE: The information on the current version of this page should be generally correct, but we may make some additions and changes between now and the start of classes.

Course Goals
This course is a sequel to MATH 3 and is appropriate for students who have successfully completed an AB calculus curriculum in secondary school. The first third of the course is devoted to topics in one-variable calculus such as Taylor series, and techniques and applications of integration. The second third of the course introduces vector-valued functions. It begins with the study of vector geometry, equations of lines and planes, and space curves. The last third of the course is devoted to studying differential calculus of functions of several variables. Topics include limits and continuity, partial derivatives, tangent planes and differentials, the Chain Rule, directional derivatives, and optimization problems including the use of Lagrange multipliers.
Overall course goal: Students will be able to solve problems on these topics and their applications, and to explain their solutions.

Teaching Methods
During a typical class period, we may use the projector, use the blackboard, ask questions of the class, and ask for individual or small group work on your own in class. We ask you to work on problems in class because this is a good way to learn, and we call on you to ask for your ideas on a topic because we want to get feedback and hear from everyone. This should not be regarded as a performance test.

General Expectations
Attendance in class is highly desirable but not mandatory. However, class participation may be considered in assigning letter grades in borderline cases.
Homework is assigned each class day. Information about due dates and grading policies is in the Homework section below. We encourage you to discuss your grading concerns early in the term.
Please make ample use of the office hours, which offer you one-on-one teaching and provide us with valuable feedback. Also, please make use of the tutorials.

Calculus (eighth edition) by James Stewart (ISBN: 978-1-285-74062-1)

Scheduled Lectures
(Section 1) Groszek MWF 10:10 - 11:15
(x-hour) Th 12:15 - 1:05
006 Kemeny
(Section 2) Lafreniere MWF 11:30 - 12:35
(x-hour) Tu 12:15 - 1:05
006 Kemeny
(Section 3) van Wyk MWF 12:50 - 1:55
(x-hour) Tu 1:20 - 2:10
108 Kemeny
Math 8 will occasionally use x-hours, for example for review or if classes need to be rescheduled, so please keep the x-hour open. We will use the first x-hour for an optional calculus review session. We will use the third x-hour to make up the class missed during Martin Luther King Jr. Day.

Instructors Office Office Hours Email Office Hour Location
Professor M. Groszek Office: 330 Kemeny Hall Office Hours: M 2:30-4:30*, Th 1:20-3:20*, and by appointment Email 330 Kemeny
Professor N. Lafreniere Office: 318 Kemeny Hall Office Hours: Tu 12:15-1:05 (in 006 Kemeny), W 9-11, F 10-11 Email 229 Kemeny
Professor D. van Wyk Office: 314 Kemeny Hall Office Hours: Tu 12-2, W 10-12, and by appointment Email 314 Kemeny
* Math 8 students can go to any of Professor Groszek's office hours, but 3:30-4:30 Monday and 1:20-2:20 Thursday are reserved for Math 8.

Midterm Exam 1 Wednesday, January 29, 2020 4:00-6:00pm Class of 1978 Life Sciences Center, Room 100
Midterm Exam 2 Wednesday, February 19, 2020 4:00-6:00pm Class of 1978 Life Sciences Center, Room 100
Final Exam Thursday, March 12, 2020 3:00-6:00pm Room Silsby 28 (sections 1 and 2), Silsby 113 (section 3)


There are three kinds of homework, described below. Written homework will be posted to the assignments page.

We do not accept late homework. Missing homework is counted as zero. Missing homework can be excused only in the event of serious and unexpected problems such as extended illness or family emergency.

WeBWorK is online homework; there is more about the WeBWorK system below. WeBWorK is assigned each class day, and due by 10am on the next class day, so homework assigned Monday is due on Wednesday, homework assigned Wednesday is due on Friday, and homework assigned on Friday is due on Monday.

Preliminary written homework is assigned each class day, and is due at the beginning of the next class. You should submit preliminary homework by bringing it to class with you. Preliminary homework is designed to get you started thinking about the topic we are about to discuss. It is graded credit or no credit, and you do not have to get the problems right in order to get credit. Your work must show that you have thought about the problems and tried to do them. The lowest 2 preliminary homework grades will be dropped when we compute your final grade.

Standard written homework, generally called simply written homework, is assigned each class day, and is due by 10am on the following Monday. However, we encourage you to do the problems right after it is assigned. Submit a picture (or scanned copy) or your written homework on Canvas by 10 am on Monday, and turn in a hard copy in class. Written homework will be graded on both the correctness of your solutions and the completeness, correctness, and clarity of your work and explanations. Explaining your work both demonstrates your understanding and helps your learning. Try to write so that another student in the class, who does not understand the material as well as you do and has not yet thought about this homework problem, would be easily able to understand your reasoning.

Each day's written homework will be graded on a scale of 0-10. You can get 5 points for making a good attempt at all parts of the problem. To get 10 points, your solution must be correct and your work or explanations must also be correct and understandable. Remember that on exams we will grade your work and your explanations, so written homework is good practice. Your lowest two written homework grades will be dropped when we compute your final grade.
0: Did not do.
5: Attempted the assignment.
6: Made some progress; either got some answers correct, or began with a correct procedure, or gave a reasonable explanation of something.
7: Got at least some things mostly right.
8: Got half or more of the assignment right, or got most of the assignment right but explanations were clearly lacking, or got only a few things right but explanations were complete and exemplary.
9: Mostly right and mostly clearly explained.
10: Completely right with work clearly shown and reasoning clearly explained.

Both kinds of written homework should be submitted on standard sized (8.5 by 11) paper, with no ragged edges. Please state each problem before launching into your solution. You do not have to repeat the problem word for word, but we should be able to grade your homework without looking the problems up. Also, it is good practice to begin by saying what you are about to do. Please write neatly; if we cannot read your homework, we cannot grade it. If your handwriting is less than stellar, writing large and leaving enough white space can go a long way.

Due dates summary: WeBWorK assigned each class is due at 10am the following class day, and is submitted online. Preliminary homework assigned each class is due at the beginning of the next class, and is submitted in class. Written homework assigned each class day is due at 10am the following Monday, and is submitted on Canvas, and then turned in in class.

We encourage you to work together. On written homework, you must write up your answers yourself. You may work together on WeBWorK using the practice accounts. Consult the honor principle (below) as it applies to this course.


WeBWorK is an online homework system we will use in Math 8. You should receive a message welcoming you to WeBWorK and telling you how to log on. Start with the Day0 assignment, which will help you navigate the system. (To get started, select Homework Sets from the main menu, click on Day0, click on Problem 1, type your answers in the boxes, and click on Submit Answers.)

When you have finished a problem, you can use the Preview button to make sure you have entered things correctly. You submit your answers by clicking the Submit button when you have finished each problem. The system will tell you whether your answer is correct. If you get something wrong, you can try again, repeatedly if necessary.

One of the features of WeBWorK is that each student is assigned a slightly different version of the problems. We have created accounts that you can use for practice, or to work together, that have their own versions of the problems, which should be slightly different from yours. You can use these accounts to work together, or with a tutor, to learn how to do the homework problems before you do your assignment. To log on to practice account number 1, use the login name practice1 and the password practice1. There are twenty practice accounts numbered 1 to 20, so if one is busy, you can use another.

Clicking on WeBWorK at the top of this page will take you to the WeBWorK login page.

The course grade will be based upon the scores on the midterm exam, homework, and the final exam as follows.
Preliminary Homework 2 percent
Written Homework 10 percent
WeBWorK 8 percent
Midterm Exams 25 percent (each)
Final Exam 30 percent

For students whose grades fall just below a division between letter grades, we may consider factors such as a consistent record of improvement.

The following conversion gives guaranteed minimum letter grades based on your numerical grade. We reserve the right to grade more generously, depending on the difficulty of our exams and homework. This means a grade of 89% will definitely be at least a B+ but may be an A-. A grade of 90 will always be at least an A-. On the other hand, a grade below 50% definitely is not passing.
Grade guarantees: 95% A; 90% A-; 85% B+; 80% B ; 75% B-; 70% C+; 65% C; 60% C-; 50% pass.

The Honor Principle

Academic integrity is at the core of our mission as mathematicians and educators, and we take it very seriously. We also believe in working and learning together.

Homework: Collaboration is permitted and encouraged, but no copying , and to be clear, this means no copying even from a board or scrap of paper on which a solution was hashed out collaboratively. What a student turns in as a homework solution is to be his or her own understanding of how to do the problems. The solutions you submit must be written by you alone. Any copying (electronic or otherwise) of another person's solutions, in whole or in part, is a violation of the Academic Honor Code.

Moreover, if in working with someone they have provided you with an important idea or approach, they should be explicitly given credit in your writeup. Hints given in office hours need not be cited. Note: It is not sufficient to annotate your paper with a phrase like ``I worked with Joe on all the problems.'' Individual ideas are to be credited at each instance; they represent intellectual property. You do not have to cite office hours or tutorials for the help you get there.

We do encourage collaboration. You can work with anyone, and consult any person or source that will help you learn the material. Giving another person credit for an idea will never lower your grade. You get credit for your understanding no matter how you acquired it.

On WeBWorK, you may work together using the practice accounts (described above), but you should do your individual problems yourself. This applies if you have a tutor, as well. You can work with your tutor on the practice accounts to learn how to do the problems, but you should do your individual problems yourself. If you can do the practice account problems but something goes wrong with your individual problem, please ask for help in office hours or at tutorial.
Submitting a hard copy of a written assignment that is different from the one you submitted on Canvas is a violation of the honor code. (If you wish to make changes in your assignment, you must submit a new version to Canvas. If the assignment is past due, it is too late to make changes.)

Exams: On exams, you may not receive assistance of any kind from any source (living, published, electronic, etc), except the professor, you may not consult any written materials including your notes and textbook, and you may not give assistance to anyone. Once you begin working on the exam, you should not consult any electronic devices, including calculators and phones, until you are finished.

Matters of clarification are to be left to the professor.

In General: If you have any questions as to whether some action would be acceptable under the Academic Honor Code, please speak to us, and we will be glad to help clarify things. It is always easier to ask beforehand.

Tutorial assistance for this course, that is, help with your homework or other questions about the course material, will be available in 006 Kemeny, Sunday, Tuesday, and Thursday evenings 7 - 9pm. Tutorials will begin on Tuesday, January 7. Your tutors are Lizzie Buchanan, and Ryan Maguire.

The tutors are there to help you learn; please use them.

Study Groups
There will be study groups for Math 8, each meeting once a week until March 6. The current meeting days and times are: Saturdays, 1:30pm-3:00pm; Sundays, 3:30pm-5:00pm; Mondays, 7:30pm-9:00pm. They are led by students who have been successful at learning this material and have been trained as group leaders. Registration begins at noon on Thursday, Januray 16, online.

Other resources
Other academic resources are available. Check out the Academic Skills Center website.

Accessibility, Religious Observances, etc.
The following statements cover a number of specific issues. However, we are here in general to help you. Please come to your instructor's office hours if you have any questions or problems, about the material, about the course, or about anything else we as faculty members may be able to help you with.

Students with disabilities who may need disability-related academic adjustments and services for this course are encouraged to see their instructor privately as early in the term as possible. Students requiring disability-related academic adjustments and services must consult the Student Accessibility Services office (205 Collis Student Center, 646-9900, Once SAS has authorized services, students must show the originally signed SAS Services and Consent Form and/or a letter on SAS letterhead to their instructor. As a first step, if you have questions about whether you qualify to receive academic adjustments and services, you should contact the SAS office. All inquiries and discussions will remain confidential.

Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with your instructor before the end of the second week of the term to discuss appropriate accommodations.

Students who have some other conflict with exams, such as a job, lab period, or extracurricular activity, should consult their instructor as soon as possible. While your academic commitments take priority, we are often able to accommodate your other commitments, provided we have enough advance notice. For the two midterms, students with a required x-hour or regular lab period that conflicts with our exam will definitely be assigned an alternate time to take the exam. Normally, there should be no academic conflict for the final exam.

The academic environment at Dartmouth is challenging, our terms are intensive, and classes are not the only demanding part of your life. There are a number of resources available to you on campus to support your wellness, including your undergraduate dean , Counseling and Human Development ), and the Student Wellness Center ). We encourage you to use these resources to take care of yourself throughout the term, and to come speak to us if you experience any difficulties.

The Sexual Respect Website at Dartmouth provides a wealth of information on your rights with regard to sexual respect and resources that are available to all in our community. Please note that, as a faculty member, I am obligated to share disclosures regarding conduct under Title IX with Dartmouth's Title IX Coordinator. Confidential resources are also available, and include licensed medical or counseling professionals (e.g., a licensed psychologist), staff members of organizations recognized as rape crisis centers under state law (such as WISE), and ordained clergy (see here. Should you have any questions, please feel free to contact Dartmouth's Title IX Coordinator or the Deputy Title IX Coordinator for the Guarini School. Their contact information can be found on the sexual respect website.

Nadia Lafreniere
Last updated March 11, 2020