Brian Ketelobeter

University of Minnesota - Twin Cities
linear algebra

Biography

introductory course on linear algebra covering vectors, matrices determinants and basic algebraic concepts.

Education

Phd Mathematics
University of Minnesota - Twin Cities
Phd Mathematics
University of Minnesota - Twin Cities

Educator Statistics

Numerade tutor for 7 years
449 Students Helped

Topics Covered

Unlocking the Power of Functions: Boost Your Programming Skills
Stand Out with Differentiation Strategies | Boost Your Business
Mastering Integrals: Tips and Tricks for Calculus Success
Mastering Matrices: An Introduction to the Fundamentals
Differential Equations Made Simple: Expert Tips & Resources
Integration
Discover the Best Series to Binge-Watch | Your Ultimate Guide
Mastering Integration Techniques for Optimal Results
Applications of Integration: Exploring Real-World Solutions
Exploring the World of Derivatives: A Comprehensive Guide
Computer Science Overview
Java Classes
Arrays
Loops

Brian's Textbook Answer Videos

22:58
Fundamentals of Differential Equations

A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.5 kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in
the brine entering the tank is 0.05 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.02 kg/L?

Chapter 3: Mathematical Models and Numerical Methods Involving First-Order Equations
Section 2: Compartmental Analysis
Brian Ketelobeter
17:08
Fundamentals of Differential Equations

A nitric acid solution flows at a constant rate of 6 L/min into a large tank that initially held 200 L of a 0.5% nitric acid solution. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 8 L/min. If the solution entering the tank is 20% nitric acid, determine the volume of nitric acid in the tank after t min. When will the percentage of nitric acid in the tank reach 10%?

Chapter 3: Mathematical Models and Numerical Methods Involving First-Order Equations
Section 2: Compartmental Analysis
Brian Ketelobeter
13:22
Fundamentals of Differential Equations

A swimming pool whose volume is 10,000 gal contains water that is 0.01% chlorine. Starting at t = 0, city water containing 0.001% chlorine is pumped into the pool at a rate of 5 gal/min. The pool water flows out at the same rate. What is the percentage of chlorine in the pool after 1 h? When will the pool water be 0.002% chlorine?

Chapter 3: Mathematical Models and Numerical Methods Involving First-Order Equations
Section 2: Compartmental Analysis
Brian Ketelobeter
02:59
Fundamentals of Differential Equations

$$y^{\prime \prime}+9 y=0$$

Chapter 4: Linear Second-Order Equations
Section 3: Auxiliary Equations with Complex Roots
Brian Ketelobeter
03:36
Fundamentals of Differential Equations

$$z^{\prime \prime \prime}-6 z^{\prime}+10 z=0$$

Chapter 4: Linear Second-Order Equations
Section 3: Auxiliary Equations with Complex Roots
Brian Ketelobeter
05:17
Fundamentals of Differential Equations

$$w^{\prime \prime}+4 w^{\prime}+6 w=0$$

Chapter 4: Linear Second-Order Equations
Section 3: Auxiliary Equations with Complex Roots
Brian Ketelobeter
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