Calculus (2021)

Lecture 1 (Calculus) Pythagorean Thm, Trig Functions, Unit Circle, Sets, Relations, and Functions

1:57:17

Lecture 2 (Calculus) Functions, Graphing, Logarithms and Exponentials, and Function Composition

2:10:42

Lecture 3 (Calculus) Radians, Trig Functions, Graphs, Trig Identities, and The Law of Sin and Cos

1:21:51

Lecture 4 (Calculus) Main Ideas of Calculus, Rates of Change, and Limits of Functions

2:18:58

Lecture 5 (Calculus) Limits of Functions, Continuity, and Prove lim sin(x)/x = 1

1:23:16

Lecture 6 (Calculus) Continuity, Epsilon-Delta Definition of Limit, and One-Sided Limits

1:32:13

Lecture 7 (Calculus) Limits Involving Infinity or Zero, and Asymptotes

1:31:58

Lecture 8 (Calculus) Derivative Definition, Derivatives at a Point, and Derivative Functions

1:06:50

Lecture 9 (Calculus) Rules of Differentiation: Power, Product, and Quotient Rules

1:14:08

Lecture 10 (Calculus) Rate of Change, Trig Derivatives, Chain Rule, and Implicit Derivatives

2:03:19

Lecture 11 (Calculus) Related Rates, Linearization, and Differentials

1:44:27

Lecture 12 (Calculus) Extreme Value Theorem and Mean Value Theorem

1:41:24

Lecture 13 (Calculus) Monotonic Function, Concavity, and Optimization

2:18:57

Lecture 14 (Calculus) Newton’s Method and Antiderivatives

1:29:16

Lecture 15 (Calculus) Areas, Finite Sums, and Limits of Finite Sums

2:22:27

Lecture 16 (Calculus) Definite Integrals and The Fundamental Theorem of Calculus

2:41:11

Lecture 17 (Calculus) Integration by Substitution, and Area Between Curves

1:53:29

Lecture 18 (Calculus) Volumes Using Cross-Sections and Cylindrical Shells

2:19:02

Lecture 19 (Calculus) Arc Length, Surface Area, and Inverse Functions

2:04:14

Midterm Review (Calculus) Limits, Derivatives, and Integrals

1:05:21

Lecture 20 (Calculus) Integrating Logarithms, Exponentials, and Solving Differential Equations

2:49:05