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Multivariable Calculus
UAF MATH F253X
Dr. Latrice Bowman
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Front Matter
Course Documents
Course Information
Course Components
Rubrics, Schedules, and Grades
Course and University Policies
How to Succeed in this Course
Math 253 Summer 2026 Online Schedule
Functions of Multiple Variables Introduction
Vector Applications
Fun-1 Reading
FUN-1 Videos
FUN-1 Written Practice
FUN-1 Sample Outcomes
Equations of Lines, Planes and Surfaces
FUN-2 Reading
FUN-2 Videos
FUN-2 Written Practice
Worksheet
FUN-2 Sample Outcomes
Vector Functions
FUN-3 Reading
FUN-3 Videos
FUN-3 Written Practice
Worksheet
FUN-3 Sample Outcomes
Functions of Two Variables
FUN-4 Reading
FUN-4 Videos
FUN-4 Written Practice
FUN-4 Sample Outcomes
Differential Calculus
Partial Derivatives
DC-1 Reading
DC-1 Videos
DC-1 Written Practice
DC-1 Sample Outcomes
The Chain Rule
DC-2 Reading
DC-2 Videos
DC-2 Written Practice
DC-2 Sample Outcomes
Gradient, Tangent Lines and Linear Approximations
DC-3 Reading
DC-3 Videos
DC-3 Written Practice
DC-3 Sample Outcomes
Maximum and Minimum Values
DC-4 Reading
DC-4 Videos
DC-4 Written Practice
DC-4 Sample Outcomes
Lagrange Multipliers
DC-5 Reading
DC-5 Videos
DC-5 Written Practice
DC-5 Sample Outcomes
Integral Calculus
Double Integrals
IC-1 Reading
IC-1 Videos
IC-1 Written Practice
IC-1 Sample Outcomes
Triple Integrals
IC-2 Reading
IC-2 Videos
IC-2 Written Practice
IC-2 Sample Outcomes
Integrals of Mass
IC-3 Reading
IC-3 Videos
IC-3 Written Practice
IC-3 Sample Outcomes
Change of Variables
IC-4 Reading
IC-4 Videos
IC-4 Written Practice
IC-4 Sample Outcomes
Applications of Multivariable Calculus
Line Integrals and Vector Fields
APP-1 Reading
APP-1 Videos
APP-1 Written Practice
APP-1 Sample Outcomes
Green’s Theorem
APP-2 Reading
APP-2 Videos
APP-2 Written Practice
Surface Integrals
APP-3 Reading
APP-3 Videos
APP-3 Written Practice
Stokes’ Theorem and the Divergence Theorem
APP-4 Reading
APP-4 Videos
APP-4 Written Practice
Multivariable Calculus
UAF MATH F253X
Dr. Latrice Bowman
Department of Mathematics and Statistics
University of Alaska Fairbanks
"Mastery comes to those who persist, not to those who never fail."--Robert Greene
Last Updated: July 10, 2026
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