Math 275: Calculus III

Spring 2016


Important Links

Instructor and Meeting Times

Instructor: Nathan McNew
Office hours: Mondays, Wednesdays and Thursdays 3-4 and by appointment.
Office: 326 (2 × 163) 7800 York Road
Section 001
(TWR Afternoon)
Section 101
(TR Evening)
TR 12:30--1:45 (YR 126)
W 1:00--2:50 (YR 123)
TR 6:00--8:15 (YR 103)

Note that you do not need an appointment to attend regularly-scheduled office hours. If you have a conflict you may make an appointment to meet outside those times.

Course Description and Objectives

Course description: Vectors in two and three dimensions, differential and integral calculus of functions of several variables. Four lecture hours and one laboratory hour per week.

Course objectives: Students will master the techniques of calculus in two and three variables, such as finding and analyzing critical points, and evaluating multiple integrals. Along the way we will consider the interplay between geometry and algebra and develop intuition for the geometric aspects of problems in higher dimensions. For the most part our focus will be more on the practical than the theoretical, in that we will not spend a lot of time on rigorous proofs of theorems. We will spend a bit of time discussing applications but will be more concerned with ensuring that we've developed the necessary mathematical toolkit to understand such problems whenever they are encountered outside of this course.

Prerequisites: MATH 274


The textbook for this course, by Angel Kumchev, is freely available here: Course textbook. A print version of the book can also be purchased at the bookstore. (Note: the textbook may be updated slightly over the course of the term if needed, you can always find the most up to date version here.)


Homework will consist of two components, written assignments and online assingments through WebAssign.

Written assignements will typically be due on Mondays, collected during the break. Written assignments will typically consist of several problems from the textbook and will be made available here. In general, late homework will not be accepted for a grade, and never without prior arrangement. Assignments will be graded much as the problems on your exams will be graded, that is the graders will be looking at the work which supports your answer even more than the answer itself. In particular, a correct answer with no justification will receive no credit, whereas mostly correct work and a tiny error may receive a substantial amount of credit. Solutions should be written in an organized and legible manner. The purpose here is to prepare you for how your exams will be graded.

Expect to spend a substantial amount of time studying and working on homework. The general rule is two to three hours outside class for each hour inside; this translates to about 9-14 hours of homework and personal study per week.

Unannounced quizzes may be given. For purposes of determining the final grade, they shall be treated as a homework assignment.


Labs using Mathematica will take place many (but not all) weeks. As a part of TU's Mathematica license, students may obtain a copy of the software for personal use for free. To install it, do the following:
  1. Go to the software download page at the TU website:
  2. The above page allows you to search for available software. Click on the button marked by the letter M or type "Mathematica" in the search box. Then scroll down to the section "Mathematica for <your OS >" (where <your OS > is replaced by Windows, Mac, or Linux). Download the installation file for your operating system. When you click on the link to the installation file, you may be asked to login with your user name and password.
  3. On the website, right after the installation file, you will find also installation instructions. Follow those instructions to install Mathematica 10.3 and obtain an activation key.
Alternatively you may use Mathematica on the computers in open lab in YR 109. If you decide to do that, you must familiarize yourself with the schedule and the procedures of the open lab. In particular, note that an unforeseen closure of the open lab is NOT a valid excuse for a late lab report.

Lab assignments will also be posted on the homework page. Students will have time to work on the labs during class, and may be able to finish them during the class period. Labs will be due during the course period one week after it is assigned.


There are three scheduled exams: two midterms, held during class time, and the final exam.

Midterm 1 Midterm 2 Final Exam
Section 001 Tuesday, March 8
12:30--1:45 pm
Tuesday, April 26
12:30--1:45 pm
Thursday, May 12
8:00-10:00 am
Section 101 Tuesday, March 8
6:00--7:15 pm
Tuesday, April 26
6:00--7:15 pm
Thursday, May 12
7:30-9:30 pm
Practice (Solutions) Practice (Solutions) Practice Exam,(Partial Solutions)
Review Sheet

If you have a conflict with a scheduled exam contact your instructor as soon as possible.


Grades will be assigned based on homework, labs and exams. They will be weighted in the students final grade as follows:

Homework/Quizes 25%
Labs 5%
Midterms (each) 20%
Final Exam 30%

The lowest two homework/quiz scores will be dropped.

Disabilities and Religious Observances

Any students with disabilities, including "invisible" disabilities such as chronic diseases and learning disabilities are encouraged to discuss appropriate accommodations with the instructor, either after class or during office hours.

Towson University is committed to providing equal access to its programs and services for students with disabilities, Students with disabilities should visit the Disabilities Services Web page, to learn about how to arrange for any appropriate accommodations. It is the student's responsibility to let the instructor know when he/she is a student with needs in this area. A memo from Disability Support Services (DSS) authorizing your accommodations will be needed.

If you have a religious observance that conflicts with your participation in the course, please meet with me before the end of the second week of the term to discuss appropriate accommodations.

Course Policies

Academic Integrity: This class is conducted in accordance with the Academic Integrity Policy. Cheating or plagiarism in any form is unacceptable. In particular:

On Exams: No assistance may be given or received except that you may ask the instructor for clarification of a problem. Calculators are not permitted.

On Homework and Labs: You are permitted and encouraged to collaborate with other students on the homework. However, after discussing the problems, you must write up the final solutions in your own words. You may use calculators and approved software. Additionally, you may consult your class notes and text. It is not permitted for someone to provide the answers for you.

Class attendance is expected. If you miss a class, it is your responsibility to get the material from your fellow students.

Diversity Statement: Towson University values diversity and fosters a climate that is grounded in respect and inclusion, enriches the educational experience of students, supports positive classroom and workplace environments, promotes excellence, and cultivates the intellectual and personal growth of the entire university community.

Last modified 9 February 2016.