## Contact

Department of Mathematics
The City College of New York
160 Convent Avenue
New York, NY 10031

Phone: (212) 650-5346
Fax: (212) 650-6294
math@ccny.cuny.edu

# Math 203 Video Lessons

These video lessons are intended to be complete, time-efficient lessons covering each topic in the Calculus series. They are offered as a supplemental resource for students, and as the basis for hybrid or online courses.

The full set of videos for Math 203, Calculus III, can be found as a YouTube playlist here:

The full set of pdf files to accompany the videos is zipped here:
Calc III Lessons 01-35.zip

Lesson 01 The Three Dimensional Coordinate System
video: http://youtu.be/sYAySgLN3l4
pdf: Calc III Lesson 01 The Three Dimensional Coordinate System.pdf

Lesson 02 Vectors
video: http://youtu.be/PcKqmtT0mgQ
pdf: Calc III Lesson 02 Vectors.pdf

Lesson 03 The Dot Product
video: http://youtu.be/H_mG5JTfPkI
pdf: Calc III Lesson 03 The Dot Product.pdf

Lesson 04 The Cross Product
video: http://youtu.be/q3vLnLMh3tE
pdf: Calc III Lesson 04 The Cross Product.pdf

Lesson 05 Lines in Three Dimensional Space
video: http://youtu.be/5MtAA78GR50
pdf: Calc III Lesson 05 Lines in Three Dimensional Space.pdf

Lesson 06 Planes
video: http://youtu.be/5DZ9CK3GS6Q
pdf: Calc III Lesson 06 Planes.pdf

Lesson 07 Cylinders
video: http://youtu.be/xeA_amC5mFQ
pdf: Calc III Lesson 07 Cylinders.pdf

video: http://youtu.be/0snIAmME9-0
pdf: Calc III Lesson 08 Quadric Surfaces.pdf

Lesson 09 Vector-Valued Functions
video: http://youtu.be/EG8Fj74_8Bo
pdf: Calc III Lesson 09 Vector-Valued Functions.pdf

Lesson 10 Parametric Surfaces
video: http://youtu.be/H2LsHnXvoWg
pdf: Calc III Lesson 10 Parametric Surfaces.pdf

Lesson 11 Functions of Several Variables
video: http://youtu.be/1jhqvLJcYKA
pdf: Calc III Lesson 11 Functions of Several Variables.pdf

Lesson 12 Limits
video: http://youtu.be/3OLHlnYefzg
pdf: Calc III Lesson 12 Limits.pdf

Lesson 13 Continuity
video: http://youtu.be/68cbPHj4IYY
pdf: Calc III Lesson 13 Continuity.pdf

Lesson 14 Partial Derivatives
video: http://youtu.be/7bNMl7JuZkA
pdf: Calc III Lesson 14 Partial Derivatives.pdf

Lesson 15 Tangent Planes and Linear Approximations
video: http://youtu.be/_lS4sgiG8x8
pdf: Calc III Lesson 15 Tangent Planes and Linear Approximations.pdf

Lesson 16 The Chain Rule
video: http://youtu.be/KKXenbKEqsM
pdf: Calc III Lesson 16 The Chain Rule.pdf

Lesson 17 Directional Derivative and Gradient
video: http://youtu.be/N48_qZExBoc
pdf: Calc III Lesson 17 Directional Derivative and Gradient.pdf

Lesson 18 Relative Extrema and Saddle Points
video: http://youtu.be/DLVTMPzOKrg
pdf: Calc III Lesson 18 Relative Extrema and Saddle Points.pdf

Lesson 19 Absolute Extrema
video: http://youtu.be/Ra6dnV9FZqw
pdf: Calc III Lesson 19 Absolute Extrema.pdf

Lesson 20 Optimization
video: http://youtu.be/HaSMjhRRUbk
pdf: Calc III Lesson Optimization.pdf

Lesson 21 Double Integrals Over Rectangles
video: http://youtu.be/MZ0BfwFN62s
pdf: Calc III Lesson 21 Double Integrals Over Rectangles.pdf

Lesson 22 Double Integrals General Regions
video: http://youtu.be/TzqDhd5tkvQ
pdf: Calc III Lesson 22 Double Integrals General Regions.pdf

Lesson 23 Double Integrals in Polar Coordinates
video: http://youtu.be/VusSoBgR44g
pdf: Calc III Lesson 23 Double Integrals in Polar Coordinates.pdf

Lesson 24 Applications of the Double Integral
video: http://youtu.be/Q_f6GCViDQM
pdf: Calc III Lesson 24 Applications of the Double Integral.pdf

Lesson 25 Surface Area
video: http://youtu.be/YyQTW08C65A
pdf: Calc III Lesson 25 Surface Area.pdf

Lesson 26 Triple Integrals
video: http://youtu.be/hXrbq7jOA0Q
pdf: Calc III Lesson 26 Triple Integrals.pdf

Lesson 27 Cylindrical Coordinates
video: http://youtu.be/wmnnTRH6nlk
pdf: Calc III Lesson 27 Cylindrical Coordinates.pdf

Lesson 28 Spherical Coordinates
video: http://youtu.be/E1NoXTT1OOE
pdf: Calc III Lesson 28 Spherical Coordinates.pdf

Lesson 29 Sequences
video: http://youtu.be/JecmXDr2wFc
pdf: Calc III Lesson 29 Sequences.pdf

Lesson 30 Series
video: http://youtu.be/5aES5KDJvNo
pdf: Calc III Lesson 30 Series.pdf

Lesson 31 Series Convergence Tests
video: http://youtu.be/m2DJUn7wkrc
pdf: Calc III Lesson 31 Series Convergence Tests.pdf

Lesson 32 Power Series
video: http://youtu.be/6aLY8-Zk74g
pdf: Calc III Lesson 32 Power Series.pdf

Lesson 33 Representing Functions as Power Series
video: http://youtu.be/yvX-amVS_Pc
pdf: Calc III Lesson 33 Representing Functions as Power Series.pdf

Lesson 34 Taylor and Maclaurin Series
video: http://youtu.be/Ve6k29EZ9Qc
pdf: Calc III Lesson 34 Taylor and Maclaurin Series.pdf

Lesson 35 Approximations Using Taylor Polynomials
video: http://youtu.be/FUid9GAjk5M
pdf: Calc III Lesson 35 Approximations Using Taylor Polynomials.pdf

These videos were created by Dr. AndrĂ©a Marchese in collaboration with Prof. Sean Cleary, thanks to a Technology Grant for Transforming Teaching and Learning through the Office of the Provost and the Center for Excellence in Teaching and Learning.