MAC 2313 (Multivariable Calc) Section B51
Tues&Thurs 12:00-1:40 in AC1 228
Textbook and Online Homework
Written homework
Quizzes
Tests and final exam
Useful free online resources:
Calculus III review page
made by the coordinator of Calc III
The
Calc III portion
of Paul's Online Math Notes
Contemporary Calculus
by Dale Hoffman
The
thread on Multivariable Calculus
at Math Insight
Week 1 notes (Jan 7, Jan 9)
Vectors and dot products
This corresponds to Sections 13.1, 13.2, and 13.3 of Briggs.
Below are related practice problems from Paul's Online Notes.
Basic Concepts
Vector Arithmetic
The 3-D Coordinate System
Dot Product
Week 2 notes (Jan 14, Jan 16)
Cross products, lines and planes, surfaces
This corresponds to Sections 13.4, 13.5, and 13.6 of Briggs.
Below are related practice problems from Paul's Online Notes.
Cross Product
Equations of Lines
Equations of Planes
Quadric Surfaces
Week 3 notes (Jan 21, Jan 23)
Curves in space, arc length
This corresponds to Sections 14.1, 14.2, and 14.3 of Briggs.
Below are related practice problems from Paul's Online Notes.
Vector Functions
Calculus with Vector Functions
Arc Length with Vector Functions
Week 4 notes (Jan 28, Jan 30)
Curvature, normal vectors
This corresponds to Sections 14.4 and 14.5 of Briggs.
Below are related practice problems from Paul's Online Notes.
Tangent, Normal and Binormal Vectors
Curvature
Velocity and Acceleration
Week 5 notes (Feb 4, Feb 6)
Level curves, limits and continuity
This corresponds to Sections 15.1 and 15.2 of Briggs.
Below are related practice problems from Paul's Online Notes.
Functions of Several Variables
Limits
Week 6 notes (Feb 11, Feb 13)
Derivatives and gradients
This corresponds to Sections 15.3, 15.4, and 15.5 of Briggs.
Below are related practice problems from Paul's Online Notes.
Partial Derivatives
Interpretations of Partial Derivatives
Higher Order Partial Derivatives
Chain Rule
Directional Derivatives
Week 7 notes (Feb 18, Feb 20)
Tangent planes and extrema
This corresponds to Sections 15.6 and 15.7 of Briggs.
Below are related practice problems from Paul's Online Notes.
Tangent planes and Linear Approximations
Gradient Vector, Tangent Planes and Normal Lines
Relative Minimums and Maximums
Absolute Minimums and Maximums
SPRING BREAK
Week 8 notes (Mar 4, Mar 6)
Double integrals in rectangular coordinates
This corresponds to Sections 16.1 and 16.2 of Briggs.
Below are related practice problems from Paul's Online Notes.
Iterated Integrals
Double Integrals over General Regions
Week 9 notes (Mar 11, Mar 13)
Double integrals in polar coordinates
This corresponds to Section 16.3 of Briggs.
Below are related practice problems from Paul's Online Notes.
Double Integrals in Polar Coordinates
Week 10 notes (Mar 18, Mar 20)
Triple integrals (rectangular, cylindrical, spherical)
This corresponds to Sections 16.4, 16.5, and 16.7 of Briggs.
Below are related practice problems from Paul's Online Notes.
Triple Integrals
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates
Change of Variables
Week 11 notes (Mar 25, Mar 27)
Vector fields, line integrals
This corresponds to Sections 17.1 and 17.2 of Briggs.
Below are related practice problems from Paul's Online Notes.
Vector Fields
Line Integrals -- Part I
Line Integrals -- Part II
Line Integrals of Vector Fields
Fundamental Theorem for Line Integrals
Week 12 notes (Apr 1, Apr 3)
Conservative fields, Green's Theorem, divergence and curl
This corresponds to Sections 17.3, 17.4, and 17.5 of Briggs.
Below are related practice problems from Paul's Online Notes.
Conservative Vector Fields
Green's Theorem
Curl and Divergence
Week 13 notes (Apr 8, Apr 10)
Surface integrals
This corresponds to Section 17.6 of Briggs.
Below are related practice problems from Paul's Online Notes.
Parametric Surfaces
Surface Integrals
Surface Integrals of Vector Fields
Week 14 notes (Apr 15, Apr 17)
Stokes' Theorem, Divergence Theorem
This corresponds to Sections 17.7 and 17.8 of Briggs.
Below are related practice problems from Paul's Online Notes.
Stokes' Theorem
Divergence Theorem
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