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Differential Vector Calculus (MTH 115)
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3D Space and Vectors
Matrices and Linear Systems
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Vector-valued Functions
Partial Derivatives
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Faculty Site:
Dr. Joy Wang, Spring 2021 (This site has been sunsetted, submissions have been closed)
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MTH-115 Welcome
Getting to know Prof. Wang and the course elements! I aim to work together with you to create a community and environment that is supportive for learning and growth.
My MTH 115 intro video
A bit about who I am
My Introduction Video
Here is a little about myself
Kali's introduction
Its me!
Adding and Subtracting Vectors (Algebraically and Geometrically)
Short video on how to compute vectors algebraically and geometrically using examples
Computing Cross Products and Interpreting them Geometrically
Unit 1 Learning target 5
Computing 2x2 and 3x3 Matrices
Short video on how to compute 2x2 and 3x23 Matrices
Determinants !
How to find the determinant of 2x2 and 3x3 matrices
Equations of Planes
Demonstrating how to find the equations of planes with vectors!
Hyperboloid of one sheet
How to draw the 3D representation of a Hyperboloid of one sheet
Learning Target Q3
I can identify a hyperboloid of one sheet through their equations, describe the traces and find them, and sketch rough graphs of quadric surfaces
Velocity, Speed and Acceleration
Velocity, Speed and Acceleration of vector valued functions
Arc Length
Demonstrating how to find arc length!
Cross products of vectors and interpreting them on a graph
Exactly what it says on the tin, except 2 months late.
Standard Matrix opporations
Addition, subtraction and multiplication of matrixes, as well as the products of matrixes.
Vector-valued Functions
VF. 2
Positions of planes and lines
The positions 2 planes can be in, as well as a plane and a line.
2-sheeted Hyperboloids
A poor description of what equates a hyperboloid of two sheets, as well as its traces and graphical interpretation.
Gradient and Directional Derivatives
In this video I explain how to compute the gradient and directional derivatives of functions of several variables.
Equations of Lines
In this video I explain how to determine the equations of lines using vectors.
Contour Maps, Level Curves
Going through the concept and applications of contour maps with an example
Real World Application of Calculus for Final Course Project
Being able to help me friend with her fear of airplanes through use of the arc length formula!
Final Project
Vector Applications in my favorite Sport!!
Partial Derivative
Finding the equations for tangent planes and normal lines to surfaces
Showing 1 to 24 of 25 results
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