MATH 2008 Vector Calculus

This is the Fall 2025 class webpage for Section L01 of MATH 2008 Vector Calculus (Calculus III) at Fordham.

Welcome to MATH 2008: Vector Calculus!

Course description: Topics include the algebra and analytic geometry of three-dimensional vectors, tangent lines and arc length of parameterized curves, continuity and differentiability of functions of several variables, tangent planes and area of surfaces, gradients, chain rule, max/min values, Lagrange multipliers, iterated integrals, change of variables in multiple integrals, the theorems of Green and Stokes, and the Divergence Theorem.

Note: Four-credit courses that meet for 150 minutes per week require three additional hours of class preparation per week on the part of the student in lieu of an additional hour of formal instruction.

Prerequisites: MATH 1207 (Calulus II).

Textbook: James Stewart, Daniel K. Clegg, and Saleem Watson’s “Calculus”, 9th edition.

Class: Monday’s and Thursday’s at 2:30-3:45PM in TBD.

Lecture Instructor: Dr. Asimina Hamakiotes

Class structure

Homework: For homework, we will use the online platform called MathMatize, which the math department provides for students at no cost. Homework is due …

Grading: The course grade will be composed of worksheets/quizzes, homework, two midterms, and a final exam. The breakdown will be as follows:

Course Component   Weight
Worksheets/Quizzes   15%
Homework   15%
Midterm 1   20%
Midterm 2   20%
Final exam   30%

(All grades and assignments will be posted on Blackboard.)

Exams:

  • Midterm 1: Oct. 9, 2025
  • Midterm 2: Nov. 20, 2025
  • Final: TBD

Math Help Room:

Class schedule

Date   Section   Topic
8/28       Review of 3D geometry, dot/cross products, and lines and planes in 3D
9/1       Labor Day
9/4       Vector functions
9/8       Geometry of curves/Motion in spaces
9/11       Functions of several variables
9/15       Limits and continuity
9/18       Partial derivatives
9/22       Tangent planes
9/25       Chain rule, directional derivatives
9/29       Gradient and extremal values, maximum and minimum
10/2       Lagrange multiplier
10/6       Exam Review
10/9       Midterm 1
10/13       Columbus Day
10/16       Multiple integral
10/20       Double integral in polar coordinates
10/23       Applications of double integrals
10/27       Spherical/cylindrical coordinate systems
10/30       Change of variables
11/3       Vector fields
11/6       Line integrals
11/10       Fundamental theorem of line integrals
11/13       Green’s theorem
11/17       Exam Review
11/20       Midterm 2
11/24       Parametric surfaces/surface area
11/27       Thanksgiving Recess
12/1       Surface integrals/Curl and divergence
12/4       Stokes’ theorem, divergence theorem
12/8       Final Review

(Thanksgiving Recess is November 26-30, 2025.)

Academic Integrity Statement: This course expects all students to act in accordance with the Academic Integrity Policy at Fordham University. Because questions of intellectual property are important to the field of this course, we will discuss academic honesty as a topic and not just a policy. If you have questions about academic integrity or intellectual property, you should consult with your instructor.

Students with Disabilities:

Final Exam Policy: