CALCULUS 3 (Math 2400)


A continuation of Calculus 2. Topics include vectors, three-dimensional analytic geometry, partial differentiation and multiple integrals, and vector analysis. Prereq., Calculus 2.

Credit not granted for this course and APPM 2350.

CALCULUS 3 (MATH 2400--002), Fall 2011


Janos Englander

office: MATH 324

office hours: M 12:00-1,F 11:00-12:00.

(On Monday I have changed the office hours upon your request, but please note that at 1pm I teach another class.)

No office hours on midterm days!

(The department office is on the second floor in MATH.)


lecture: ECCR 133; MWF 10:00AM – 10:50AM

recitation: Calc 3 recitations meet on Tuesdays in the same room that the normal class meets. 

my T.A.: Andrew Moorhead,

his e-mail:


Calculus, 5th Edition by Hughes-Hallett, Gleason, McCallum et al. John Wiley & Son’s, 2009. ISBN 978-0470-08914-9.

Lecture and MT schedule: CLICK

Schedule of written homework: CLICK

Here are some old first midterms and their solution:





Here are some old second midterms and their solution:





Here is a review for MT2:


Online HW:

Online homework is a requirement of this course. To use the online homework system you will need to visit

and create an account. Using the user name you entered you may visit to sign in and complete your online homework. Your initial password will be the user id you entered. The first thing you do when you sign-in for the first time should be to change your password.

Before you can access WebWork, you will need to create an account (even if you have already used WebWork previously). You must sign up at:

You need to use your first name and last name. If you do not fill out the signup form properly, you will receive a zero on your webwork grade at the end of the semester.

You also need to put in your section number properly: a three digit number such as 003 or 012.

If you change sections, it is your responsibility to notify your new instructor and ask them to change your section number.

It is very important that you use your CU student login. Failure to do this may result in an inability to access the system.

Homework will be given posted for every lecture; it is your responsibility to check daily and make sure you complete the assignment by the posted due-date. On the first day your web work homework will simply be the sign up and making yourself familiar with the web work introduction.

Occasionally it might happen that the system has the wrong solution to a problem. This should be very rare, so first please double check your solution, if this is what you suspect. If you are positive the system has the wrong answer, then please inform your instructor.

The precise Web Work schedule is something like this:

1) The professor lectures on the material in section A on a given day.

2) The webwork assignment for section A is accessible by students early in the morning on that same day. The idea is that they can walk directly out of class and start the assignment if they want to do so.

3) The webwork assignment will be due the night of our next class meeting. Here's how that works: If the professor covers section A on Monday, it will be due on Wednesday night. If the professor covers section B on a Friday, section B will be due on Monday night.


A calculator (TI-83, equivalent or better) is useful for this course.

Prerequisite (important!):

Calculus 2.

If you feel you don’t know the material in Calculus 1-2 well, you should seriously consider dropping the course!

Work Load:

You will need to do a lot of reading on your own. There is no time to cover absolutely all the course material in class, but only the fundamental points that you need to understand in order to read the rest on your own. In addition to the “written homework assignments” and the “web-based homework”, it is your responsibility to make sure that you can solve all the exercises at the end of each section covered in this course. Use office hours and lab hours as much as you need to make sure of that. The exercises will be neither collected nor graded but you will be expected to know how to work them out by the next day of class if you want to be able to understand the lectures and follow the course normally.

Email Policy:

I will not answer questions about homework problems via email. Should you have any such questions, please come to office hours or go to the  help lab.

If you happen to have any problem with WeBWorK, (that is, a “WeBWorK error”), then click on the appropriate icon and report it. It will be sent to the web-manager.


Your course grade will be computed as follows:

written homework . . . . . . . . . . . . . . . . . .15%

web-based homework . . . . . . . . . . . . . . .15%

work sheet (recitation). . . . . . . . . . . . . . .10%

3 midterm exams . . . . . . . . . . . . . . . . . . . 30% (10% each)

1 final exam . . . . . . . . . . . . . . . . . . . . . . . .30%


Late homework will not be accepted. Written HW is due on the Friday lecture. No written HW on first week.

Midterm Exams:

for all sections will be held 5:15pm - 6:45pm on

September 14,

October 12,

November 9.

Room: TBA later

We will have a review/practice in class on the day of the MT for each MT.

Final Exam:

Monday, Dec 12, 10:30 a.m. – 1:00 p.m.

Exam policy:

The exams for this course are coordinated exams. Their times and dates are written in stone and

there are no make-up exams! Therefore make sure early on that you have no conflicts with work

schedules, other classes, other tests, travel plans, etc.

If you cannot make it because of emergencies or religious obligations, please talk to me.

The rooms for the exams will be announced in due time. Bring your CU student-ID to all your exams. You may be required to show it. The use of cellular phones, or any type of headset during tests is strictly forbidden.


The Undergraduate Mathematics Resource Center is located in MATH 175. The Center will be open Mondays through Thursdays 9 AM–5 PM, and Fridays 9 AM–2 PM. The Center will serve all

students taking undergraduate Mathematics courses.

University policies

Honor Code

All students of the University of Colorado at Boulder are responsible for knowing and adhering to the academic integrity policy of this institution. Violations of this policy may include: cheating, plagiarism, aid of academic dishonesty, fabrication, lying, bribery, and threatening behavior. All incidents of academic misconduct shall be reported to the Honor Code Council (; 303-725-2273). Students who are found to be in violation of the academic integrity policy will be subject to both academic sanctions from the faculty member and non-academic sanctions (including but not limited to university probation, suspension, or expulsion). Other information on the Honor Code can be found at

Student classroom and course-related behavior

Students and faculty each have responsibility for maintaining an appropriate learning environment. Students who fail to adhere to such behavioral standards may be subject to discipline. Faculty have the professional responsibility to treat all students with understanding, dignity and respect, to guide classroom discussion and to set reasonable limits on the manner in which they and their students express opinions. Please, no open yawning! Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with differences of race, culture, religion, politics, sexual orientation, gender variance, and nationalities. Class rosters are provided to the instructor with the student's legal name. Your instructor will gladly honor your request to address you by an alternate name or gender pronoun. Please advise your instructor of this preference early in the semester so that appropriate changes may be made to the records. See polices at

Students with disabilities

If you qualify for accommodations because of a disability, please submit to me a letter from Disability Services in a timely manner so that your needs can be addressed. Disability Services determines accommodations based on documented disabilities. Contact: 303-492-8671, Center for Community N200, and If you have a temporary medical condition or injury, see guidelines at Disability Services' letters for students with disabilities indicate legally mandated reasonable accommodations. The syllabus statements and answers to Frequently Asked Questions can be found at

Religious obligations

Campus policy regarding religious observances requires that faculty make every effort to reasonably and fairly deal with all students who, because of religious obligations, have conflicts with scheduled exams, assignments or required attendance. In this class, you should notify your instructor of any conflict at least two weeks in advance. See full details at

Statement on discrimination and harassment

The University of Colorado at Boulder policy on Discrimination and Harassment (, the University of Colorado policy on Sexual Harassment and the University of Colorado policy on Amorous Relationships applies to all students, staff and faculty. Any student, staff or faculty member who believes s/he has been the subject of discrimination or harassment based upon race, color, national origin, sex, age, disability, religion, sexual orientation, or veteran status should contact the Office of Discrimination and Harassment (ODH) at 303-492-2127 or the Office of Judicial Affairs at 303-492-5550. Information about the ODH and the campus resources available to assist individuals regarding discrimination or harassment can be obtained at