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Prof. Allen TesdallOffice: 1S-210 phone: (718) 982-3617Email: allen.tesdall  csi.cuny.edu
Website: http://www.math.csi.cuny.edu/~atesdall/ |
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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 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. Log into Webwork here: Math 233 (Tesdall) Webwork login.
Exams: There will be three (50 minute) in-class midterms given during the second half of the class period. There will be one (full class period) in-class cumulative final exam. See the class schedule below for the dates of the exams. Make-up exams will not be given. All exams, including the final exam, must be taken at the time and on the day scheduled.
Exam rules: Calculators of any type, as well as phones, smart watches, and laptops, are not allowed on exams.
Grade: The course grade will be determined as follows: three midterms 20% each, final exam 30%, Webwork 10%. You must pass the cumulative final exam to pass the class.
Extra credit: Students often want to know if extra credit is a possibility. Here's what you can do to earn extra credit:
on each of the three midterms, there will be a problem taken from the lecture in the first half of that class. This should be easy if you have understood that lecture, and a correct solution earns you 5 extra points on that midterm.
Attendance: Attendance at every class, for the full duration of the class, is expected. Attendance will be taken at every class. Failing to be present for the full duration of class 5 times will result in a grade of WU.
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 |
| Aug 26 | Vectors | 12.1, 12.2 | Set 12.1 |
| Aug 28 | Parametric Equations of Lines Dot Product |
12.2 12.3 |
Set 12.2 Set 12.3 |
| Sep 2 | Dot Product Areas and Determinants in 2D |
12.3 12.3 |
Set 12.3 Areas and Determinants in 2D |
| Sep 4 | Volumes and Determinants in Space | 12.3 | Volumes and Determinants in 3D |
| Sep 9 | Cross Product | 12.4 | Set 12.4 |
| Sep 11 | Equations of Planes | 12.5 | Set 12.5 |
| Sep 16 | General Parametric Equations | 13.1 | Set 13.1 |
| Sep 18 | Velocity, Acceleration, Speed, Arc Length Midterm 1 (through 12.5) |
13.2, 13.3 | Set 13.2, Set 13.3 |
| Sep 25 | Functions of Several Variables | 14.1, 14.2 | Sets 14.1, 14.2 |
| Sep 30 | Partial Derivatives | 14.3 | Set 14.3 |
| Oct 7 | Differentiability and Tangent Planes | 14.4 | Set 14.4 |
| Oct 9 | Gradient | 14.5 | Set 14.5 |
| Oct 16 | Directional Derivatives | 14.5 | Set 14.5 |
| Oct 21 | Chain Rules | 14.6 | Set 14.6 |
| Oct 23 | Optimization | 14.7 | Set 14.7 |
| Oct 28 | Optimization (cont'd) Midterm 2 (through 14.6) |
14.7 | Sets 14.7 |
| Oct 30 | Lagrange Multipliers | 14.8 | Set 14.8 |
| Nov 4 | Integration in Several Variables Double Integrals |
15.1 15.2 |
Set 15.1 Set 15.2 |
| Nov 6 | Changing order of integration; Polar Coordinates | 15.2 | Set 15.2 |
| Nov 11 | Triple Integrals | 15.3 | Set 15.3 |
| Nov 13 | Triple integration in Cylindrical and Spherical Coordinates |
12.7 15.4 |
Sets 12.7, 15.4 |
| Nov 18 | Vector Fields and Line Integrals | 16.1 | Set 16.1 |
| Nov 20 | Line Integrals and Conservative Vector Fields | 16.2, 16.3 | Sets 16.2, 16.3 |
| Nov 25 | Conservative Vector Fields (cont'd) Midterm 3 (through 15.4) |
16.3 | Set 16.3 |
| Dec 2 | Surface Integrals of Vector Fields | 16.5 | Set 16.5 |
| Dec 4 | Green's Theorem | 17.1 | Set 17.1 |
| Dec 9 | Proof of Green's Theorem Extended Green's Theorem |
17.1 | Set 17.1 |
| Dec 11 | Stokes' Theorem Divergence Theorem |
17.2 17.3 |
Set 17.2 Set 17.3 |
| Dec 16 or Dec 18 (TBD) |
Final exam (cumulative) |
Online resources:
MIT OpenCourseWare Multivariable Calculus Complete online multivariable calculus course.
Khan Academy Multivariable Calculus Complete online multivariable calculus course.
3Blue1Brown The essence of calculus A look at calculus topics with an emphasis on visualization.
Dave's Short Trig Course A short but very good trigonometry course or review.
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: Academic Calendars and Final Exam Schedules