Dr. Bevin Maultsby
Mathematics lectures and examples. I am a Teaching Professor of Mathematics. On this channel are videos for Multivariable Calculus, Single Variables Calculus II, Mathematical Modeling (intended primarily for high school math teachers), and others. I am currently recording some lectures on Real Analysis II (Advanced Calculus II), and hope next to make a series on proof writing and introductory Real Analysis.
I am pretty skilled with MATLAB--if you are wondering how I made a graphic or animation, it was probably in MATLAB. (I will eventually put some MATLAB videos up here too...)
The material located on this site is not endorsed, sponsored or provided by or on behalf of North Carolina State University.
Теорема о среднем значении интеграла и другие свойства, Действительный анализ II
Интегральные свойства Римана по критерию Лебега, Вещественный анализ II
Критерий Лебега интегрируемости Римана, Вещественный анализ II
Монотонность и линейность интеграла Римана, Действительный анализ II
Riemann Integration vs Riemann Sums... Equal Partitions Aren't Enough, Real Analysis
Measure Zero Sets (Riemann Integration), Real Analysis II
Volume in Rn with the Characteristic Function and Partitions (Riemann Integration), Real Analysis II
Continuous functions are integrable proof, Real Analysis II
Partitions, upper and lower sums for multivariable functions, Real Analysis II
Riemann Integration Lesson 1, Review from Single Variable Analysis I
Implicit Function Theorem with examples, Real Analysis II
Inverse Function Theorem with examples, Real Analysis II
Contraction Mappings, Real Analysis II
Matrix Multiplication Lesson 5, Composition of Transformations
Matrix Multiplication Lesson 4, row based viewpoint
Matrix Multiplication Lesson 3, column based viewpoint
Matrix Multiplication Lesson 2, Computation, Properties
Matrix Multiplication Lesson 1, Basic Notions
Proofs by Induction in Mathematics
Proofs by Contradiction (P and not Q) Examples
Contrapositive Proofs (not Q implies not P) Examples
Direct Proofs (P implies Q) Examples, Mathematics
Quantifiers (for all, there exists) in mathematical logic
Conditional if-then statements in Mathematics
Compute a volume with a triple integral, three set ups
Examples of optimizing with the Hessian eigenvalues, Real Analysis II
How to optimize multivariable functions with eigenvalues, Real Analysis II
Ряд Тейлора (с остатком) для f(x,y), пример, Действительный анализ II
Taylor polynomial example for f(x,y), Real Analysis II
Taylor Series and Taylor's Theorem for Multivariable Functions, Real Analysis II