DrOfEng
This channel is all about free and high quality educational courses and videos in Mathematics, Science and Engineering.
I try to teach each topic in a concise and intuitive way so as to not overwhelm the student/learner but help them to build on their own understanding. Having the concepts fresh in your mind while completing the example problems on your own is a powerful way to retain information and achieve the best results.
I am gradually covering many subjects including Calculus, Linear Algebra, Engineering Math, Discrete Math, Algebra, Trigonometry, Physics (Mechanics, Electricity and Magnetism, Waves, Sound and Optics, Modern Physics), Computer Science, Chemistry and Structural Engineering.
Be sure to subscribe to receive the most up to date videos, which will be uploaded regularly.
I also provide many worked example problems. You are encouraged to challenge yourself and test your knowledge by first attempting these problems and then comparing your answers to the solutions.
Основная теорема математического анализа, часть 1, наглядное доказательство, определённый интегра...
Определенный интеграл, определение через сумму Римана, формула, символ, пример — исчисление
Сумма Римана, Формула, Использование калькулятора, Примеры, Практические задачи - Математический ...
Накопление изменений, производная формула, значение, рабочий лист, задачи - исчисление
Поведение неявных отношений, производные, примеры – Исчисление
Решение задач оптимизации, дифференцирование, примеры – исчисление
Связь функции и её производных, графиков, положения, скорости, ускорения — исчисление
Графики функций и их производных, построение кривых, примеры – Исчисление
Тест второй производной, локальные экстремумы, визуальное доказательство, пример – исчисление
Тест кандидатов, Глобальные экстремумы, Пример – Исчисление
Тест первой производной, локальные экстремумы, примеры – Исчисление
Теорема об экстремальных значениях, визуальное доказательство, критические точки, глобальные и ло...
Теорема о среднем значении, производные, определение, наглядное доказательство, примеры — исчисление
L'Hospital's Rule, Limits, Indeterminate Forms, Examples - Calculus
Local Linearity and Error Approximation, Tangent Line, Examples - Calculus
Solving Related Rates Problems, Chain Rule, Derivatives - Calculus
Straight Line Motion, Position, Displacement, Velocity, Acceleration, Speed, Distance - Calculus
Derivatives in Context, Interpretation, Examples - Calculus
Logarithmic Differentiation, Basic Proof, Exponential, Examples - Calculus
Higher-Order Derivatives of Functions, Second Derivative, Examples - Calculus
Derivatives of Inverse Trig Functions, Basic Proof, Examples - Calculus
Derivatives of Inverse Functions, Basic Proof, Examples - Calculus
Implicit Differentiation, vs Explicit, Chain Rule, Examples - Calculus
Chain Rule of Differentiation, Derivatives, Composite Functions, Examples - Calculus
Derivatives of Trig Functions, Basic Proofs, tan(x), cot(x), sec(x), cosec(x), Examples - Calculus
Quotient Rule for Differentiation, Mnemonic, Examples - Calculus
Product Rule, Differentiation, Basic Proof, Examples - Calculus
Derivatives of Elementary Functions, sin(x), cos(x), e^x, ln(x) - Calculus
Derivative Rules, Power Rule for Differentiation - Calculus
Differentiability and Continuity of Function, Rates of Change, Visual Proof, Example - Calculus