MAT 127: Calculus C

Welcome to MAT 127---Calculus C.

This is the final course in the calculus sequence. We cover essential and beautiful tools such as differential equations, sequences and series, power series, and their applications.


The Final Exam will take place on Wednesday December 15 from 11:00am to 1:30 pm in ESS 001. (Both section 01 and section 02 will have their final exam in ESS 001.) The final exam will cover all of the material gone over in MAT 127 this semester. You will not be allowed to use a calculator on the final exam. Remember to bring your ID, some scratch paper and some pencils. A practice final exam link appears below. Note that solutions are now posted below for problems in sections 8.4,8.5,8.6. I have recieved thus far (Sunday evening) no response to a request for a room in which to conduct a review session tomorrow. Perhaps I will have to cancell this. Because of this I am including below the solutions to the practice final.

Homework One Solutions

Homework Two Solutions

Homework Three Solutions

Practice Midterm I Practice

Grading Curve for Midterm I Grading

Solutions for Midterm I Solutions

Homework Four Solutions

Homework Five Solutions

Homework Six Solutions

Practice Midterm II Practice

Homework Seven Solutions

Homework Eight Solutions

Homework Nine Solutions

Solutions for Midterm II Solutions

Grading curve for MidtermII Grading

Practice Final Exam Practice

Solutions for the Practice Final Solutions

Homework Ten Solutions

Homework Eleven Solutions

Homework Twelve Solutions


Lecture 1: Guan-Yu Shi,, Math 2-106. Office hours: 2-3 Tuesday.
Lecture 2: Lowell Jones (course coodinator),, Math Tower 2-111. Telephone: 632-8248.
Office hours: Monday 11-12; Tuesday and Thursday 11:30-12:30.


Young Woo Nam,, Math Tower 2-117. Office hours: 3-4 on Monday and Tuesday.


Lec 01 MWF 9:35-10:30am Shi Harriman Hall 112
Lec 02 TUTH 12:50-2:10pm Jones Harriman Hall 116


Calculus Concepts and Contexts, Second Edition, by James Stewart

Note that the first edition of this book has very similar text, but the problems are different. If you own the first edition, you'll need to borrow the second edition from a friend or look at it in the library or Math Learning Center in order to do the homework.


You should read the corresponding section of the text before attending each lecture.

Problems sets will be assigned weekly; check this webpage for the assigments. Each homework set is do at the end of the last class of the following week. Note that the odd-numbered problems have answers in the back of the book. You should nonetheless try and solve these problems without recourse to the answer key, and should write the problem up carefully in your own words even if you have consulted the book for the final answer: always show your work.

It is OK to discuss homework problems with other students. However, each student must write up the homework individually, in his/her own words rather than merely copying someone else's.


There will be two evening midterm tests, on Monday September 27, and on Tuesday November 9; in both cases the exam is scheduled from 8:30-10:30pm. The final exam will be on Wednesday December 15 from 11:00am to 1:30pm.. Make certain that you wil be available at these times, as there will be no scheduled make-ups for these tests.

Please note that makeup exams are only given for unforseeable circumstances beyond the student's control. In particular, schedule conflicts are not an acceptable reason: please let your lecturer know about any schedule conflicts as soon as possible. You must have ID to be admitted to the exams.

Calculators of any kind will not be permitted in exams. The problems will require pencil and paper reasoning only.


25% Homework
20% Midterm 1
20% Midterm 2
35% Final Exam


A very useful resource is the Math Learning Center (MLC) in room S240-A of the mathemtics building basement. The hours of the math learning center will be announced soon on this web site. Another useful resource are your lectures and grader, whose office hours are listed above.


If you have a physical, psychological, medical or learning disability that may impact on your ability to carry out assigned course work, please contact the staff in the Disabled Student Services office (DSS), Room 133 Humanities, 632-6748/TDD. DSS will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation of disability is confidential.


All homework assigments are due at then end of the last class meeting of the week following the week in which they appear: for example the problems for the week 8/30-9/3 are due Friday, September 10 for section 1 and on Thursday, September 9 for section 2.

Week Topic Notes Homework
8/30-9/3 Review and 7.1 (Modeling and Differential Equations)   7.1:1,2,4,9,12
9/6-9/10 7.2 (Direction Fields and Euler's Method) no class on 9/6  7.2: 1,3,4,5,6,11,19(a)(c),22
9/13-9/17 7.3 (Seperable Equations) no class on 9/16,9/17 7.3: 1,2,5,8,10,16,29,35,38
9/20-9/24 7.4 (Exponential Growth and Decay)   7.4: 2,6,9,11,13,18
9/27-10/1 7.5 (The Logistic Equation) first midterm on 9/27 7.5: 1,3,7,8
10/4-10/8 7.6 (Predator-Prey Systems   7.6: 2,3
10/11-10/15 8.1 (Sequences)   8.1: 5,8,10,14,18,22,26, 33,38,40,41
10/18-10/22 8.2 Series   8.2: 9,10,12,15,20,28,34, 48,50,51
10/25-10/29 8.3 (The Integral And Comparison Tests)   8.3: 2,5,7,12,14,18,20,30
11/1-11/5 8.4 (Other Convergence tests)   8.4: 2,4,5,9,12,13,17,22,23, 24,30,31,34
11/8-11/12 8.5 (Power Series) second midterm on 11/9   8.5: 6,8,11,18,20
11/15-11/19 8.6 (Representations of Functions as Power Series)   8.6:4,6,8,10,16,22,24,26
11/22-11/26 8.7 (Taylor and Taylor and Maclaurin Series no classes 11/25 and 11/26  8.7: 4,6,7,10,12,13,21,22,34, 36,40,42,46
11/29-12/3 8.10 (Using Series to Solve Differential Equations)   8.10:
12/6-12/10 Review