MA 243 - Calculus
III 
Course Information:
Calculus
III Assignments
Homework and Exam Schedule
Office hours and teaching
schedule
Syllabus
Uploading homework
The Letter
Final Exam Schedule - Spring 2025
Announcements:
Course Notes:
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Practice Test 1
Practice Test 1 (display
version)
Exam 1
Practice Test 2
Exam 2 (display version)
Practice Test 3
Practice Test 3 (display
version)
Exam 3
Practice Final
Practice Final (display
version)
Day 1
Surface examples
Vectors
Dot product
Cross product
The equation of the plane
Derivative of
vector-valued functions
Partial derivatives
Equation of the
tangent plane
Velocity and
Acceleration
Curvature
Circle of Curvature
Chain Rule example - spiral
under hemisphere
Chain Rule example - melting ice
block
Chain Rule example - lens
Tumor growth example
HW 6 Problems 4 and 5
Extra credit
homework problem
Doppler problem - Chain Rule
Application
Directional derivatives
Directional
derivative - example
Contour definition
Contour examples
Tangent plane problems
Ralph
Double integrals - limit of sum
definition
Double Integral Example -
Fubini
Rectangular region
example - double integral
Double integral examples
Double integral of
sin(y)/y
Polar coordinates
Polar coordinate examples
The integral of one
Centroids of two-dimensional
regions
Triple integral problems -
rectangular coordinates
Triple integral -
Cylinder Slice Problem
Triple integral homework
Quartic Max-Min
Lagrange multiplier intro
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