Department of Mathematics, College of Staten Island, City University of New York (CUNY)

Calculus III: MTH 233, Section 17593 - Spring 2024 Course Outline

Class Hours: Tuesday & Thursday, 12:20 pm - 2:15 pm
Office Hours: Monday 12:00 pm - 3:00 pm

Prof. Allen Tesdall

Office:   1S-210   phone: (718) 982-3617
Email:   allen.tesdallcsi.cuny.edu
Website:   http://www.math.csi.cuny.edu/~atesdall/

Textbook:  Rogawski, Adams, and Franzosa, Calculus, Early Transcendentals, Fourth Edition, 2019. See image above left. You can purchase or rent, e-book or hardcopy (new or used), from any source.

Homework:  Homework consists of selected exercises from the textbook, and must be submitted online, and on-time, using Webwork. Webwork is a free online homework submission system that provides individualized homework problems, gives immediate feedback, and allows you to correct mistakes until the due date. After the due date Webwork allows you to see solutions. See the class schedule below for the Webwork assignments corresponding to each topic (due dates will be given in class). Log in to Webwork here: Math 233 (Tesdall) Webwork login.

Exams:  There will be two in-class midterm exams and one in-class cumulative final exam. Make-up exams will not be given. All exams, including the final exam, must be taken at the time and on the day scheduled. See the class schedule below for the dates of the exams.

Grading:  The course grade will be determined as follows: two midterm exams 30% each, final exam 30%, Webwork 10%. Without exception you must pass the final exam to pass the class.

Attendance:  Attendance at every class, for the full duration of the class, is expected. Failing to be present for the full duration of class 5 times will result in being dropped from the class.

Help:  Free math tutoring is available at The Center for Academic Student Assistance, Room 1L-117. The mathematics department also has tutoring available: see math department tutoring.

Class Topic Textbook Reading Webwork Homework Sets
Jan 25 Vectors 12.1
12.2
Sets 12.1, 12.2
Jan 30 Dot Product
Areas and Determinants in 2D
12.3
Set 12.3
Areas and Determinants in 2D
Feb 1 Volumes and Determinants in Space
Feb 6 Cross Product 12.4 Set 12.4
Feb 8 Equations of Planes 12.5 Set 12.5
Feb 13 Vector-valued functions 13.1 Set 13.1
Feb 15 Velocity and Acceleration
Velocity and Arc Length
13.2
13.3
Set 13.2
Set 13.3
Feb 20 Functions of Several Variables 14.1
14.2
Sets 14.1, 14.2
Feb 27 Partial Derivatives 14.3 Set 14.3
Feb 29 Differentiability and Tangent Planes 14.4 Set 14.4
Mar 5 Review
Gradient and Directional Derivatives

14.5

Set 14.5
Mar 7 TEST 1    
Mar 12 Gradient and Dir. Derivatives (continued) 14.5 Set 14.5
Mar 14 Chain Rule 14.6 Set 14.6
Mar 19 Optimization Problems 14.7 Set 14.7
Mar 21 Lagrange Multipliers 14.8 Set 14.8
Mar 26 Integration in Several Variables 15.1 Set 15.1
Mar 28 Double Integrals; Polar Coordinates 15.2 Set 15.2
Apr 2 Triple Integrals 15.3 Set 15.3
Apr 4 Integration in Cylindrical
and Spherical Coordinates
12.7
15.4
Sets 12.7, 15.4
Apr 9 Vector Fields and Line Integrals
Review
16.1 Set 16.1
Apr 11 TEST 2    
Apr 16 Line Integrals and Conservative Vector Fields 16.2
16.3
Sets 16.2, 16.3
Apr 18 Conservative Vector Fields (continued) 16.3 Set 16.3
May 2 Surface Integrals of Vector Fields 16.5 Set 16.5
May 7 Green's Theorem 17.1 Set 17.1
May 9 Stokes' Theorem 17.2 Set 17.2
May 14 Divergence Theorem 17.3 Set 17.3

Online resources: 

Dave's Short Trig Course  A short but very good trigonometry course or review.

MIT OpenCourseWare Multivariable Calculus  Complete online multivariable calculus course.

Khan Academy Multivariable Calculus  Complete online multivariable calculus course.

Disability policy: Qualified students with disabilities will be provided reasonable academic accommodations if determined eligible by the Office for Disability Services. Prior to granting disability accommodations in this course, the instructor must receive written verification of student's eligibility from the Office of Disability Services, which is located in 1P-101. It is the student's responsibility to initiate contact with the Office for Disability Services staff and to follow the established procedures for having the accommodation notice sent to the instructor.

Integrity policy: CUNY's Academic Integrity Policy is available online at https://www2.cuny.edu/about/administration/offices/legal-affairs/policies-procedures/academic-integrity-policy

Important Dates: Spring 2024 Academic Calendar