Dive into a comprehensive 1.5-hour tutorial covering essential Calculus 1 concepts. Begin with an introduction to derivatives, exploring their definition as limits and various differentiation formulas. Master the derivatives of trigonometric functions and learn the chain rule. Progress to higher derivatives, related rates problems, and curve sketching using derivatives. Transition to integrals, starting with an introduction and step-by-step problem-solving techniques. Explore integration methods including substitution, integration by parts, and trigonometric substitution. Cover applications such as calculating volume with integrals. Delve into derivatives and integrals of exponential functions and logarithms. Conclude with a study of improper integrals, providing a solid foundation in fundamental calculus principles.
Overview
Syllabus
Lesson 1 - What Is A Derivative? (Calculus 1 Tutor).
Lesson 2 - The Derivative Defined As A Limit (Calculus 1 Tutor).
Lesson 3 - Differentiation Formulas (Calculus 1 Tutor).
Lesson 4 - Derivatives Of Trig Functions (Calculus 1 Tutor).
Lesson 5 - Chain Rule for Derivatives (Calculus 1 Tutor).
Lesson 6 - Higher Derivatives in Calculus (Calculus 1 Tutor).
Lesson 7 - Related Rates Problems in Calculus (Calculus 1 Tutor).
Lesson 8 - Calculus Curve Sketching Using Derivatives (Calculus 1 Tutor).
Lesson 9 - Introduction To Integrals (Calculus 1 Tutor).
Lesson 10 - Solving Integrals Step-by-Step (Calculus 1 Tutor).
Lesson 11 - Integration By Substitution (Calculus 1 Tutor).
Lesson 12 - Calculating Volume With Integrals (Calculus 1 Tutor).
Lesson 13 - Derivatives and Integrals Exponential Functions (Calculus 1 Tutor).
Lesson 14 - Derivatives Of Logarithms (Calculus 1 Tutor).
Lesson 15 - Integration By Parts (Calculus 1 Tutor).
Lesson 16- Integration By Trig Substitution (Calculus 1 Tutor).
Lesson 17 - Improper Integrals (Calculus 1 Tutor).
Taught by
mathandscience
