MATHEMATICS UN1201, Fall 2018 (preliminary web page)

Calculus III,  sections 6 and 7


Room:  TBA

Time:  Tuesday and Thursday, 1:10-2:25 PM (section 6), 2:40-3:55 PM (section 7)

Instructor:  Michael Harris

Office Hours:  Tuesday 4:30-5:30, Thursday, 11-12

and by appointment, room number 521


Teaching Assistants:  TBA (see Courseworks site for contact information)


A provisional schedule with homework assignments is indicated below; it will be updated regularly.  You can find a sample syllabus, with reading assignments, at this page.  More complete information about the course is on the department's Calculus III page. 


Textbook:  The course textbook is James Stewart, Calculus:  Early Transcendentals (8th edition)


Prerequisites:  The sole prerequisite for the course is Calculus I.  Familiarity with the material of Calculus II is helpful but not essential. 



Class and reading schedule (tentative)



Topics (chapters in Stewart)


Sept 4, 6

Vectors, coordinate systems (§12.1-2, 10.3, 15.7, 15.8)


Sept 11, 13

Dot products, cross products (§12.3, 12.4)


Sept 18, 20

Parametric equations (§12.5, 10.1, 10.5)


Sept 25, 27

Some surfaces in 3-space (§12.6); Review for first midterm


Oct 2, 4

First midterm; vector-valued functions (§13.1)

First midterm

Oct 9, 11

Integrals of vector-valued functions, applications  (§13.2-3)


Oct 16, 18

Physical applications (§13.4); functions of several variables (§14.1-2)


Oct 23, 25

Partial derivatives and tangent planes (§14.3-4)


Oct 30, Nov 1

Chain rule (§14.5);  Review for second midterm


Nov 8

Second midterm

Second midterm

Nov 13, 15

Directional derivatives and the gradient (§14.6)


Nov 20

Applications:  maximum and minimum problems (§14.7)


Nov 27,  29

Maximum/minimum problems and Lagrange multipliers (§14.7-8)


Dec 4, 6

Complex numbers (Appendix); Review for final exam




Midterms:  October 2,  November 8 (in class)


Final:  date to be announced



Practice exams and notes


Homework will be graded and will count for 20% of the final grade.  Late homework will not be accepted, unless the student has a valid excuse.   


The lowest grade (of 11 assignments) will be dropped.


Grades will be computed as follows:


            Homework (and occasional quizzes):  20%

            Final exam:  40%

            Midterms:  20% each




            Solution sheets

1st week           

2nd week          

3rd week

4th week

5th week

6th week           

7th week

8th week

9th week

10th week

11th week







Return to Michael Harris's home page