Calculus 1 (Full Length Videos)
32 videos • 9,681,578 views • by Professor Leonard
Topics: Review of Algebra/Trigonometric Concepts, Finding Limits, Derivatives and Derivative Techniques, Integrals and Integral Techniques, and Applications.
1
Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula
Professor Leonard
Download
2
Calculus 1 Lecture 0.2: Introduction to Functions.
Professor Leonard
Download
3
Calculus 1 Lecture 0.3: Review of Trigonometry and Graphing Trigonometric Functions
Professor Leonard
Download
4
Calculus 1 Lecture 0.4: Combining and Composition of Functions
Professor Leonard
Download
5
Calculus 1 Lecture 1.1: An Introduction to Limits
Professor Leonard
Download
6
Calculus 1 Lecture 1.2: Properties of Limits. Techniques of Limit Computation
Professor Leonard
Download
7
Calculus 1 Lecture 1.4: Continuity of Functions
Professor Leonard
Download
8
Calculus 1 Lecture 1.5: Slope of a Curve, Velocity, and Rates of Change
Professor Leonard
Download
9
Calculus 1 Lecture 2.1: Introduction to the Derivative of a Function
Professor Leonard
Download
10
Calculus 1 Lecture 2.2: Techniques of Differentiation (Finding Derivatives of Functions Easily)
Professor Leonard
Download
11
Calculus 1 Lecture 2.3: The Product and Quotient Rules for Derivatives of Functions
Professor Leonard
Download
12
Calculus 1 Lecture 2.4: Applications of the Derivative
Professor Leonard
Download
13
Calculus 1 Lecture 2.5: Finding Derivatives of Trigonometric Functions
Professor Leonard
Download
14
Calculus 1 Lecture 2.6: Discussion of the Chain Rule for Derivatives of Functions
Professor Leonard
Download
15
Calculus 1 Lecture 2.7: Implicit Differentiation
Professor Leonard
Download
16
Calculus 1 Lecture 2.8: Related Rates
Professor Leonard
Download
17
Calculus 1 Lecture 3.1: Increasing/Decreasing and Concavity of Functions
Professor Leonard
Download
18
Calculus 1 Lecture 3.2: A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem.
Professor Leonard
Download
19
Calculus 1 Lecture 3.3: The First Derivative Test for Increasing and Decreasing
Professor Leonard
Download
20
Calculus 1 Lecture 3.4: The Second Derivative Test for Concavity of Functions
Professor Leonard
Download
21
Calculus 1 Lecture 3.5: Limits of Functions at Infinity
Professor Leonard
Download
22
Calculus 1 Lecture 3.6: How to Sketch Graphs of Functions
Professor Leonard
Download
23
Calculus 1 Lecture 3.7: Optimization; Max/Min Application Problems
Professor Leonard
Download
24
Calculus 1 Lecture 4.1: An Introduction to the Indefinite Integral
Professor Leonard
Download
25
Calculus 1 Lecture 4.2: Integration by Substitution
Professor Leonard
Download
26
Calculus 1 Lecture 4.3: Area Under a Curve, Limit Approach, Riemann Sums
Professor Leonard
Download
27
Calculus 1 Lecture 4.4: The Evaluation of Definite Integrals
Professor Leonard
Download
28
Calculus 1 Lecture 4.5: The Fundamental Theorem of Calculus
Professor Leonard
Download
29
Calculus 1 Lecture 5.1: Finding Area Between Two Curves
Professor Leonard
Download
30
Calculus 1 Lecture 5.2: Volume of Solids By Disks and Washers Method
Professor Leonard
Download
31
Calculus 1 Lecture 5.3: Volume of Solids By Cylindrical Shells Method
Professor Leonard
Download
32
Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane
Professor Leonard
Download