| Northern
Virginia Community College Calculus &
Analytical Geometry III, Math
265
Course Description (from the College): Presents
vector-valued functions, partial derivatives, multiple integrals and
topics from the calculus of vectors. 4 hours. Prerequisite: MATH 174/264; minimum grade of “C”. *Files
on this page are mostly in .docx format. If you have difficulty
downloading them, see instructions linked in the left margin.
Syllabus -- in Word format
Homework
Important Dates
Exam I -- Monday, June 3rd
key/study guide key/make-up/key
Exam II -- Monday, June 10th
exam
key/study guide key
Exam III -- Monday, June 24th
exam
key/study guide key
Final Exam -- Monday, July 1st
exam
key/supplemental study guide key /
practice final key
more detailed schedule in the syllabus
Email List
via Blackboard
Announcements:
Math Office: (AA 352 -- Remote)
NOVA Math office: 703-845-6220
My NOVA email: bmccall@nvcc.edu
Office Hours: by appointment, send me an email and we can set up a time.
Answer
Keys (for synchronous course only)
Quizzes
Quiz #1 -- key
Homeworks (for synchronous class only)
Homework
#1
Homework
#2
Homework
#3
Homework
#4
Homework
#5
Homework
#6
Homework
#7
Homework
#8
Homework
#9
Homework
#10
Homework
#11
Lecture Notes
Chapter 11 Application Problems --
key
Chapter 12 Application Problems --
key
Chapter 13 Application Problems --
key
Chapter 14 Application Problems --
key
Chapter 15 Application Problems --
key
Handouts
Polar Coordinates
Common 3D Surfaces
Tangents & Normals -
key
Line Integrals
Lagrange Mulitpliers
-- key
Relative & Absolute Extrema
-- key
Implicit Differentiation
-- key
Triple Integrals
Vector Fields
Del-Notation
- key
Limits in 2 or more Variables
- key
Graphing in 3D
Chain Rule --
key
Jacobians and Change of Variable
Single Variable Differentiation Review -
key
Single Variable Integration Review -
key
Plotting 3D Surfaces in 2D
Changing Limits of Integration in 2D & 3D
Surface Integrals
Gradients & Level Curves
-- key
Matrices Overview --
key
Projects
Laser Diffraction
Contour Curves
Craft Day
Proofs
Distance Between and Point and a Line in
Space (11.14)
12.2 Properties of the Derivative
12.9 Curvature
13.0 Partial Derivatives & Notation
13.4 Sufficient Conditions for
Differentiability
13.5
Differentiability Implies Continuity
13.6 Chain Rule: One Independent Variable
13.9 Directional Derivative
13.11 The Gradient
13.19 Lagrange's Theorem
14.5 Change of Variables for Double Integrals
15.1 Test for Conservative Vector Fields
15.5 Fundamental Theorem of Line Integrals
15.6 Independence of Path for Conservative
Vector Fields
15.8 Green's Theorem Links:
Programs for Numerical Methods - TI-83 (pdf)
PDF Graph Paper
I Will Derive song
How to
draw Greek
3D
Point Plotter
Graphing 3D
Parametric Curves
Graphing Parametric Surfaces
Graphing 3D
Surfaces
GraphCalc
Plotting Vector Fields
Vector Fields
3D
Vector Fields
Dimensions
Visualizing Gradients
Multivariable Calculus Demonstrations
Spring 2018
Fall 2018
Summer 2021
Summer 2022
Fall 2023
Summer 2024
Multivariable Calc Playlist |
