Nathan Warnberg

Iowa State University of Science and Technology
Assistant Professor

Biography

I teach College Algebra, PreCalculus, Business Calculus, Calc I and II and III, Linear Algebra and Graph Theory.

Education

Phd Mathematics
Iowa State University of Science and Technology

Educator Statistics

Numerade tutor for 6 years
94 Students Helped

Topics Covered

Stand Out with Differentiation Strategies | Boost Your Business
Vector Functions: Understanding the Basics
Mastering Partial Derivatives: Essential Techniques and Tips
Mastering Multiple Integrals: Techniques and Tips
Master Vector Calculus with Our Comprehensive Guide
Mastering Exponents and Polynomials: A Comprehensive Guide
Rational Functions: Understanding Their Properties and Applications

Nathan's Textbook Answer Videos

07:41
Calculus with Applications

Find the relative maxima or minima in Exercises $1-10$
Maximum of $f(x, y)=3 x y$ , subject to $x+2 y=32$

Chapter 9: Multivariable Calculus
Section 4: Lagrange Multipliers
Nathan Warnberg
07:03
Calculus with Applications

Find the relative maxima or minima in Exercises $1-10$
Maximum of $f(x, y)=x y^{2},$ subject to $x+2 y=15$

Chapter 9: Multivariable Calculus
Section 4: Lagrange Multipliers
Nathan Warnberg
05:54
Calculus with Applications

Find the relative maxima or minima in Exercises $1-10$
Minimum of $f(x, y)=4 x^{2}+y^{2}-4 x y,$ subject to $x+y=9$

Chapter 9: Multivariable Calculus
Section 4: Lagrange Multipliers
Nathan Warnberg
03:56
Calculus with Applications

Find the relative maxima or minima in Exercises $1-10$
Maximum of $f(x, y)=x^{2}-5 y^{2},$ subject to $x-y=12$

Chapter 9: Multivariable Calculus
Section 4: Lagrange Multipliers
Nathan Warnberg
09:46
Calculus with Applications

Find the relative maxima or minima in Exercises $1-10$
Maximum of $f(x, y, z)=x y z^{2},$ subject to $x+y+z=6$

Chapter 9: Multivariable Calculus
Section 4: Lagrange Multipliers
Nathan Warnberg
04:26
Calculus with Applications

Find positive numbers $x$ and $y$ such that $x+y=87$ and 9$x y^{2}$ is maximized.

Chapter 9: Multivariable Calculus
Section 4: Lagrange Multipliers
Nathan Warnberg
1 2 3 4 5 ... 16