Videos (for most sections and topics)

CHAPTER 1

1.2 An Introduction to Limits

1.2 Determine the Limit of a Function

1.2 Different Limits from the left and right

1.2 Unbounded behavior and limit

1.2 Oscillating Behavior and Limits

1.2 Formal Definition of a Limit - A

1.2 Formal Definition of a Limit - B

1.3 Properties of Limits

1.3 Evaluate the Limit of a Polynomial Function

1.3 Limits of polynomial and rational functions

1.3 Finding limits with the rules of limits

1.3 Strategy for finding limits

1.3 Limit properties and evaluation

1.3 Dividing out technique

1.3 The Squeeze Theorem

1.4 Continuity and discontinuity

1.4 Introduction to continuity

1.4 Evaluate one-sided limits

1.4 Limits of piecewise functions

1.4 Determine the continuity of functions on a closed interval

1.4 Properties of continuity

1.4 The Intermediate Value Theorem

1.4 Use the Intermediate Value Theorem to help locate zeros of polynomial  functions

1.5 Determine asymptotes of rational equations

CHAPTER 2

2.1 Slope of tangent lines to a point on a curve

2.1 Tangent line with slope m – Part A

2.1 Tangent line with slope m – Part B

2.1 Using the Limit definition to find slopes of graphs at points

2.1 Use the limit definition to find the slopes of graphs at points

2.1 Find the derivative of a function using the definition

2.1 Calculate the derivative of a function at multiple points

2.1 Nondifferentiability of the absolute value function

2.1 Describe the relationship between differentiability and continuity

2.2 Derivative of a constant

2.2 The power rule for derivatives

2.2 The constant multiple rule for derivatives

2.2 Find the equation of a tangent line with basic derivative rules

2.2 Find the derivatives of functions using the constant multiple rule

2.2 Find the derivatives of functions using the sum and difference rules

2.2 Derivative rules for sine and cosine

2.2 Find average velocity - A

2.2 Find average velocity - B

2.2 Finding velocity and acceleration

2.2 Find the derivatives of functions using the power rule

2.3 Find the derivatives of functions using the product rule

2.3 Product rule involving sine

2.3 Product Rule – Part A

2.3 Product Rule – Part B

2.3 Quotient Rule – Part A

2.3 Quotient Rule – Part B

2.3 Derivatives of trigonometric functions

2.3 Higher order derivatives

2.4 Introduction to the chain rule

2.4 Find derivatives using the chain rule - A

2.4 Find derivatives using the chain rule - B

2.4 Write derivatives in simplified form

2.4 Find derivatives of trigonometric functions

2.4 Apply the chain rule repeatedly - A

2.4 Apply the chain rule repeatedly - B

2.5 Implicit and explicit functions and their derivatives

2.5 Implicit differentiation

2.5 Identify tangent lines to a graph at a point

2.6 Solve related-rate problems - A

2.6 Solve related-rate problems - B

2.6 Related rates - ripples in a pond

2.6 Related rates - an inflating balloon

2.6 Related rates - speed of an airplane

CHAPTER 3

3.1 Extrema of a function and the extreme value theorem

3.1 Relative extrema and critical numbers

3.1 Find absolute extrema of continuous functions on a closed interval – A

3.1 Find absolute extrema of continuous functions on a closed interval – B

3.2 Rolle's theorem and the mean value theorem

3.2 The mean value theorem - an overview

3.2 The mean value theorem

3.2 Average and instantaneous velocity

3.2 Rolle's Theorem

3.3 Increasing and decreasing functions on an interval

3.3 Apply the First Derivative Test

3.4 Concavity

3.4 Concavity and inflection points

3.4 Determine the concavity and the inflection points

3.4 The second derivative test

3.5 Definition of limits at infinity

3.5 Limits at infinity

3.5 Vertical and horizontal asymptotes

3.5 Formal definition of infinite limits

3.6 Sketch the graph of a function

3.6 Sketch graphs of rational functions that have slant asymptotes

3.6 Sketch the graph of a rational function

3.7 Optimization - Finding maximum volume - solution

3.7 Optimization - Finding minimum distance

3.7 Minimizing the material for a box - Part A

3.7 Minimizing the material for a box - Part B

3.7 Optimization - Finding minimum length - Part I

3.7 Optimization - Finding minimum length - Part II

3.7 Optimization- finding minimum length- Part III

3.7 Optimization- finding minimum length- Part IV

3.9 Tangent line approximations

3.9 Differentials - introduction

3.9 Differentials - Actual error and estimated error

3.9 Calculating differentials

CHAPTER 4

4.1 Antiderivatives

4.1 Use basic integration rules to find antiderivatives

4.1 Use initial conditions to find particular solutions of indefinite integrals - A

4.1 Use initial conditions to find particular solutions of indefinite integrals - B

4.2 Write a partial sum of a series with sigma notation

4.2 Using sigma notation

4.2 Area of a rectangle

4.2 Area of a region in the plane

4.3 Area from Riemann sums - A

4.3 Area from Riemann sums - B

4.3 Evaluation of a definite integral as a limit - Part I

4.3 Evaluation of a definite integral as a limit - Part II

4.3 Evaluation of a definite integral

4.3 Properties of the definite integral - Part A

4.3 Properties of the definite integral - Part B

4.4 Fundamental theorem of calculus

4.4 Mean value theorem for integrals

4.4 Average value of a function

4.4 Second fundamental theorem of calculus

4.5 A simple integral by substitution

4.5 Change of variables for indefinite integrals - Part I

4.5 Change of variables for indefinite integrals - Part II

4.5 The general power rule

4.5 Change of variables for definite integrals

CHAPTER 5

5.1 Rewrite, expand, and condense logarithmic expression

5.2 Log rule for integration - Part I

5.2 Log rule for integration - Part II

5.3 Find the inverse of a function

5.3 Finding the Inverse of a function

5.3 Evaluation of the derivative of an inverse function

5.4 Solving exponential and logarithmic equations - A

5.4 Solving exponential and logarithmic equations - B

5.5 Find the derivatives of natural exponential functions

5.5 Compound interest formula

5.5 Application problems of compound interest

5.7 Solving a differential equation by separation of variables

5.6 Use exponential growth and decay to model real-life situations - A

5.6 Use exponential growth and decay to model real-life situations - B

5.6 Population growth

5.6 Application Problems: Exponential decay

5.6 Newton's law of cooling

5.7 Introduction to general and particular solutions

5.7   Particular solution

5.7 Separation of variables

CHAPTER 6

6.1 Find area between two curves - an overview

6.1 Find area between two curves

6.1 Area between two curves

6.1 Area between two intersecting curves

6.2 The disk method - an overview

6.2 The disk method

6.2 The washer method

6.2 The washer method - an overview

6.3 Volume by cylindrical shells - an overview

6.3 Volume by cylindrical shells - bell curve

6.3 Volume by cylindrical shells - doughnut