MAC 2313 (Multivariable Calc) Section B51
Tues&Thurs 12:00-1:40 in AC1 135
Textbook and Online Homework
Written homework
Quizzes
Tests and final exam
Tentative schedule of topics
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 9, Jan 11)
Vectors and dot products
Basic Concepts
Vector Arithmetic
The 3-D Coordinate System
Dot Product
Week 2 notes (Jan 16, Jan 18)
Cross products, lines and planes, surfaces
Cross Product
Equations of Lines
Equations of Planes
Quadric Surfaces
Week 3 notes (Jan 23, Jan 25)
Curves in space, arc length
Vector Functions
Calculus with Vector Functions
Arc Length with Vector Functions
Week 4 notes (Jan 30, Feb 1)
Curvature, normal vectors
Tangent, Normal and Binormal Vectors
Curvature
Velocity and Acceleration
Week 5 notes (Feb 6, Feb 8)
Level curves, limits and continuity
Functions of Several Variables
Limits
Week 6 notes (Feb 13, Feb 15)
Derivatives and gradients
Partial Derivatives
Interpretations of Partial Derivatives
Higher Order Partial Derivatives
Chain Rule
Directional Derivatives
Week 7 notes (Feb 20, Feb 22)
Tangent planes and extrema
Tangent planes and Linear Approximations
Gradient Vector, Tangent Planes and Normal Lines
Relative Minimums and Maximums
Absolute Minimums and Maximums
Lagrange Multipliers
SPRING BREAK
Week 8 notes (Mar 5, Mar 7)
Double integrals in rectangular coordinates
Double Integrals
Iterated Integrals
Double Integrals over General Regions
Week 9 notes (Mar 12, Mar 14)
Double integrals in polar coordinates
Double Integrals in Polar Coordinates
Week 10 notes (Mar 19, Mar 21)
Triple integrals (rectangular, cylindrical, spherical)
Triple Integrals
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates
Change of Variables
Week 11 notes (Mar 26, Mar 28)
Vector fields, line integrals
Vector Fields
Line Integrals -- Part I
Line Integrals -- Part II
Line Integrals of Vector Fields
Fundamental Theorem for Line Integrals
Week 12 notes (Apr 2, Apr 4)
Conservative fields, Green's Theorem, divergence and curl
Conservative Vector Fields
Green's Theorem
Curl and Divergence
Week 13 notes (Apr 9, Apr 11)
Surface integrals
Parametric Surfaces
Surface Integrals
Surface Integrals of Vector Fields
Week 14 notes (Apr 16, Apr 18)
Stokes' Theorem, Divergence Theorem
Stokes' Theorem
Divergence Theorem
Idris Mercer's main page