1.1

PreCalculus Part 1  Functions the Basics

10:56


1.2

PreCalculus Part 2  Polynomials and Rational Functions

13:39


1.3

PreCalculus Part 3  Algebra of Functions

15:45


1.4

PreCalculus Part 4  Inverse Functions, the Basics

13:32


1.5

PreCalculus Part 5  Polynomial and Rational Equations and Inequalities

17:34


1.6

PreCalculus Part 6  Absolute Value

13:05


1.7

PreCalculus Part 7  Trigonometric Functions

23:29


1.8

PreCalculus Part 8  Inverse Trigonometric Functions

26:06


1.9

PreCalculus Part 9  Exponential and Logarithmic Functions

23:38


1.10

PreCalculus Part 10  Exponential and Logarithmic Equations

21:49


1.11

PreCalculus Part 11  Domains of Functions

25:11


1.12

PreCalculus Part 12  More Important Facts

26:45




2.1

Limits, the Basics  Part 1

17:19


2.2

Limits, the Basics  Part 2

20:29


2.3

Evaluating Limits Part 1 Cancellation and Rationalization

20:09


2.4

Evaluating Limits Part 2 The Theorem

17:16


2.5

Evaluating Limits Part 3  The Squeeze Theorem

14:32


2.6

Limits and Infinity Part 1  Introduction to Infinity

18:47


2.7

Limits and Infinity Part 2  Infinite Limits of Rational Functions

11:06


2.8

Limits and Infinity Part 3  Infinite Limits of more Functions

14:13


2.9

Limits and Infinity Part 4  Limits that are Infinite

9:57


2.10

The Precise Definition of a Limit  Part 1

19:21


2.11

The Precise Definition of a Limit  Part 2

16:09


2.12

Continuity Part 1  Continuity, the Basics

26:02


2.13

Continuity Part 2  Properties of Continuous Functions

10:23


2.14

Continuity Part 3  The Intermediate Value Theorem

17:05




3.1

Derivatives, the Basics Part 1  Slope of a Tangent Line

11:18


3.2

Derivatives, the Basics Part 2  The Definition of the Derivative as a Limit

15:46


3.3

Derivatives, the Basics Part 3  More Derivatives as Limits

9:01


3.4

Derivatives, the Basics Part 4  Differentiability

13:19


3.5

Derivatives, the Basics Part 5  Differentiability of Piecewise Functions

10:11


3.6

Computing Derivatives Part 1  Basic Rules of Derivatives

21:31


3.7

Computing Derivatives Part 2  The Product and the Quotient Rules

17:00


3.8

Computing Derivatives Part 3  Derivatives of Trigonometric Functions

10:25


3.9

Computing Derivatives Part 4  The Chain Rule

22:46


3.10

Computing Derivatives Part 5  Higher Order Derivatives

13:05


3.11

Computing Derivatives Part 6  Complicated Derivatives

15:55


3.12

Proofs Part 1  Some Basic Proofs

13:48


3.13

Proofs Part 2  More Proofs

15:39


3.14

Implicit Differentiation Part 1  Implicit Differentiation

15:31


3.15

Implicit Differentiation Part 2  More Implicit Differentiation

21:44


3.16

Implicit Differentiation Part 3  Derivatives of Inverse Functions

21:13


3.17

Implicit Differentiation Part 4  Logarithmic Differentiation

21:12




4.1

Rate of Change Part 1  Rate of Change in Physics

15:34


4.2

Rate of Change Part 2  Rate of Change in Biology

10:00


4.3

Related Rates  Part 1

20:49


4.4

Related Rates  Part 2

25:43


4.5

Differentials Part 1  Differentials, the Basics

21:36


4.6

Differentials Part 2  Linear Approximation

18:23


4.7

Newton's Method

23:14




5.1

Minima and Maxima Part 1  Critical Points

21:40


5.2

Minima and Maxima Part 2  Relative and Absolute Extreme Values

13:34


5.3

Minima and Maxima Part 3  Minimum and Maximum on a Closed Interval

21:26


5.4

Minima and Maxima Part 4  The Mean Value Theorem

30:46


5.5

Indeterminate Forms and L'Hospital's Rule Part 1  Simple Forms of L'Hospital's Rule

25:01


5.6

Indeterminate Forms and L'Hospital's Rule Part 2  More Indeterminate Forms

18:35


5.7

Indeterminate Forms and L'Hospital's Rule Part 3  The Indeterminate Form f(x)^g(x)

14:04


5.8

Sketching Graphs Part 1  Increasing / Decreasing and The First Derivative Tests

21:33


5.9

Sketching Graphs Part 2  The Second Derivative Test

12:48


5.10

Sketching Graphs Part 3  Concavity

26:47


5.11

Sketching Graphs Part 4  Analyzing the First and the Second Derivatives

24:53


5.12

Sketching Graphs Part 5  Asymptotes

17:35


5.13

Sketching Graphs Part 6  Sketching the Graph of a Function  Part 1

15:54


5.14

Sketching Graphs Part 7  Sketching the Graph of a Function  Part 2

17:16


5.15

Optimization Part 1  Optimization, the Basics

23:21


5.16

Optimization Part 2  Optimization, more Examples

18:18


5.17

Optimization Part 3  Advanced Optimization: The Wire Problem

8:54


5.18

Optimization Part 4  Advanced Optimization: Inscribed Shapes

20:59


5.19

Optimization Part 5  Optimization in Economy

27:38




6.1

Hyperbolic Functions, the Basics

13:48


6.2

Hyperbolic Functions, Identities

8:01


6.3

Inverse Hyperbolic Functions

17:02


6.4

Derivatives of Hyperbolic Functions and their Inverses

19:12




7.1

Antiderivatives Part 1  Antiderivatives of Basic Functions

23:27


7.2

Antiderivatives Part 2  Antiderivatives of More Functions

8:25


7.3

Integrals and Areas Part 1  Riemann Sums, the Basics

25:44


7.4

Integrals and Areas Part 2  The Sigma Notation

21:10


7.5

Integrals and Areas Part 3  Riemann Sums

16:07


7.6

Integrals and Areas Part 4  More Riemann Sums

15:19


7.7

Integrals and Areas Part 5  Definite Integrals and Areas

24:21


7.8

Integrals and Areas Part 6  The Fundamental Theorem of Calculus  Part 1

13:13


7.9

Integrals and Areas Part 7  The Fundamental Theorem of Calculus  Part 2

15:17


7.10

Integrals and Areas Part 8  Average Value of a Function

16:07


7.11

Integrals and Areas Part 9  Area Between Curves

20:34


7.12

Numerical Integration Part 1  The Trapezoidal and The Midpoint Rules

24:36


7.13

Numerical Integration Part 2  The Simpson's Rule

14:32


7.14

Numerical Integration Part 3  A Different Approach to The Simpson's Rule

10:45




8.1

Integration by Substitution Part 1  the Basics

24:18


8.2

Integration by Substitution Part 2  more Examples

12:42


8.3

Integration by Substitution Part 3  Tricky Examples

16:34


8.4

Integration by Parts Part 1  the Basics

21:53


8.5

Integration by Parts Part 2  more Examples

22:47


8.6

Trigonometric Integrals Part 1

26:38


8.7

Trigonometric Integrals Part 2

14:59


8.8

Trigonometric Integrals Part 3  Reduction Formulas

17:22


8.9

Integrals and the Hyperbolic Functions and their Inverses

18:16


8.10

Integration by Trigonometric Substitution Part 1  the Main Idea

19:39


8.11

Integration by Trigonometric Substitution Part 2  Examples

17:52


8.12

Integration by Trigonometric Substitutions Part 3  more Examples

12:41


8.13

Integration by Hyperbolic Substitution

15:11


8.14

Integration by Partial Fractions Part 1  the Basics

29:22


8.15

Integration by Partial Fractions Part 2  Linear Terms

15:56


8.16

Integration by Partial Fractions Part 3  Irreducible Quadratic Terms

15:20


8.17

Integration by Rationalizing Substitutions

12:53


8.18

Techniques of Integration, Advanced

23:25


8.19

Techniques of Integration, Summary

11:26




9.1

Improper Integrals Part 1  Improper Integrals Type 1

25:26


9.2

Improper Integrals Part 2  The Comparison Test, the Basics

21:51


9.3

Improper Integrals Part 3  The Comparison Test, more Examples

20:39


9.4

Improper Integrals Part 4  Improper Integrals Type 2

22:13


9.5

Improper Integrals Part 5  Summary

12:44




10.1

Evaluating Volumes Part 1  Evaluating Volumes by Cross Sections

25:20


10.2

Evaluating Volumes Part 2  The Disk and the Washer Methods

24:57


10.3

Evaluating Volumes Part 3  The Cylindrical Shells Method

17:03


10.4

Evaluating Volumes Part 4  Volumes, Advanced

6:05


10.5

Evaluating Volumes Part 5  Volumes, Summary

13:01


10.6

ArcLength and Surface Area Part 1  Arc Length

31:32


10.7

ArcLength and Surface Area Part 2  Area of a Surface of Revolution

28:57


10.8

ArcLength and Surface Area Part 3  Gabriel's Horn

11:08


10.9

Applications of Integration to Economy Part 1  Present and Future Values of Income Stream

33:37


10.10

Applications of Integration to Economy Part 2  Consumer and Producer Surpluses

19:25


10.11

Work Part 1  the Basics

24:52


10.12

Work Part 2  Stacking Up. Pumping Out

18:02


10.13

Work Part 3  Pumping Out, an Example

9:39




11.1

Separable Differential Equations

20:22


11.2

Exponential Models Part 1  Exponential Models in the Sciences

24:46


11.3

Exponential Models Part 2  Exponential Models in Finance

15:06


11.4

Exponential Models Part 3  The Logistic Equation

29:24


11.5

First Order Differential Equations Part 1  First Order Linear Differential Equations  Part 1

11:00


11.6

First Order Differential Equations Part 2  First Order Linear Differential Equations  Part 2

17:05


11.7

First Order Differential Equations Part 3  Euler's Method

25:34




12.1

Infinite Sequences Part 1  the Basics

13:50


12.2

Infinite Sequences Part 2  Theorems and Properties

19:21


12.3

Infinite Sequences Part 3  The Monotonic Bounded Sequence Theorem  Part 1

12:49


12.4

Infinite Sequences Part 4  The Monotonic Bounded Sequence Theorem  Part 2

16:37


12.5

Introduction to Infinite Series Part 1  Infinite Series, the Basics, Telescopic Series

25:06


12.6

Introduction to Infinite Series Part 2  The Test for Divergence, Geometric Series

27:03


12.7

All Positive Infinite Series Part 1  The Integral Test  Part 1

27:20


12.8

All Positive Infinite Series Part 2  The Integral Test  Part 2

25:30


12.9

All Positive Infinite Series Part 3  Comparison Tests for Infinite Series  Part 1

18:09


12.10

All Positive Infinite Series Part 4  Comparison Tests for Infinite Series  Part 2

18:12


12.11

Alternating Series Part 1  Alternating Series

19:16


12.12

Alternating Series Part 2  The Remainder Estimate for Alternating Series

11:18


12.13

Alternating Series Part 3  Absolute and Conditional Convergence  Part 1

15:56


12.14

Alternating Series Part 4  Absolute and Conditional Convergence  Part 2

14:57


12.15

The Ratio and The Root Tests  Part 1

16:06


12.16

The Ratio and The Root Tests  Part 2

25:34


12.17

Infinite Series, Summary

19:11




13.1

Power Series Part 1  the Basics

23:42


13.2

Power Series Part 2  Examples

18:37


13.3

Functions as Power Series Part 1 the Basics

18:22


13.4

Functions as Power Series Part 2  Functions as Power Series

17:50


13.5

Functions as Power Series Part 3  More Functions as Power Series

14:14


13.6

Functions as Power Series Part 4 An Advanced Example

13:54


13.7

Taylor Series and Polynomials Part 1  The Taylor Series Expansion of a Function

26:45


13.8

Taylor Series and Polynomials Part 2  Easy Manipulations of Existing Taylor Series

18:14


13.9

Taylor Series and Polynomials Part 3  The Sum and the Product of Taylor Series and Polynomials

18:18


13.10

Taylor Series and Polynomials Part 4  The Quotient of Taylor Series and Polynomials

18:14


13.11

Taylor Series and Polynomials Part 5  The Binomial Series  Part 1

14:40


13.12

Taylor Series and Polynomials Part 8  The Binomial Series  Part 2

15:57


13.13

Taylor's Inequality Part 1  the Basics

23:44


13.14

Taylor's Inequality Part 2  Examples

19:15


13.15

Taylor's Inequality Part 3  More Examples

15:45


13.16

Numbers as Infinite Series Part 1  lnx as Infinite Series

22:08


13.17

Numbers as Infinite Series Part 2  More Exact Sums of Infinite Series

15:20




14.1

Parametric Equations Part 1  the Basics

28:33


14.2

Parametric Equations Part 2  First Derivatives of Parametric Equations

14:24


14.3

Parametric Equations Part 3  Second Derivatives, Areas

10:51


14.4

Parametric Equations Part 4  Sketching Parametric Curves Using Derivatives  Part 1

19:00


14.5

Parametric Equations Part 5  Sketching Parametric Curves Using Derivatives  Part 2

18:42


14.6

Parametric Equations Part 6  Arc Lengths of Parametric Curves

15:40


14.7

Parametric Equations Part 7  Parametric Curves, Surface Area, Speed

17:29


14.8

Polar Coordinates Part 1  the Basics

21:54


14.9

Polar Coordinates Part 2  Polar Curves

31:31


14.10

Polar Coordinates Part 3  Derivatives and Tangent Lines of Polar Curves

23:51


14.11

Polar Coordinates Part 4  Area, Arc Length and Surface Area in Polar Coordinates

24:42



