This class was created by Brainscape user Anton Soloshenko. Visit their profile to learn more about the creator.

Flashcard maker:
Anton Soloshenko

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An Introduction to Thinkwell Calculus (1.1.1)

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2
cards

The Two Questions of Calculus (1.1.2)

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2
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Average Rates of Change (1.1.3)

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2
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How to Do Math (1.1.4)

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1
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Functions (1.2.1)

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3
cards

Graphing Lines (1.2.2)

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3
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Parabolas (1.2.3)

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3
cards

Some Non-Euclidean Geometry (1.2.4)

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1
cards

Finding Rate of Change over an Interval (2.1.1)

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2
cards

Finding Limits Graphically (2.1.2)

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2
cards

The Formal Definition of a Limit (2.1.3)

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2
cards

The Limit Laws, Part I (2.1.4)

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1
cards

The Limit Laws, Part II (2.1.5)

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2
cards

One-Sided Limits (2.1.6)

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3
cards

The Squeeze Theorem (2.1.7)

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3
cards

Continuity and Discontinuity (2.1.8)

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2
cards

Evaluating Limits (2.2.1)

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3
cards

Limits and Intermediate Forms (2.2.2)

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3
cards

Two Techniques for Evaluating Limits (2.2.3)

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2
cards

On Overview of Limits (2.2.4)

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2
cards

Rates of Change, Secants, and Tangents (3.1.1)

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4
cards

Finding Instantaneous Velocity (3.1.2)

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4
cards

The Derivative (3.1.3)

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3
cards

Differentiability (3.1.4)

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2
cards

The Slope of a Tangent Line (3.2.1)

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2
cards

Instantaneous Rate (3.2.2)

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2
cards

The Equation of a Tangent Line (3.2.3)

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2
cards

More on Instantaneous Rate (3.2.4)

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2
cards

The Derivative of the Reciprocal Function (3.3.1)

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2
cards

The Derivative of the Square Root Function (3.3.2)

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3
cards

A Shortcut for Finding Derivatives (4.1.1)

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2
cards

A Quick Proof of the Power Rule (4.1.2)

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2
cards

Uses of the Power Rule (4.1.3)

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3
cards

The Product Rule (4.2.1)

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2
cards

The Quotient Rule (4.2.2)

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2
cards

An Introduction to the Chain Rule (4.3.1)

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2
cards

Using the Chain Rule (4.3.2)

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2
cards

Combining Computational Techniques (4.3.3)

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2
cards

A Review of Trigonometry (5.1.1)

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2
cards

Graphic Trigonometric Functions (5.1.2)

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3
cards

The Derivatives of Trigonometric Functions (5.1.3)

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2
cards

The Number Pi (5.1.4)

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3
cards

Graphing Exponential Functions (5.2.1)

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2
cards

Derivatives of Exponential Functions (5.2.2)

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2
cards

Evaluating Logarithmic Functions (5.3.1)

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3
cards

The Derivative of the Natural Log Function (5.3.2)

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2
cards

Using the Derivative Rules with Transcendental Functions (5.3.3)

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2
cards

An Introduction to Implicit Differentiation (6.1.1)

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2
cards

Finding the Derivative Implicitly (6.1.2)

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2
cards

Using Implicit Differentiation (6.2.1)

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1
cards

Applying Implicit Differentiation (6.2.2)

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2
cards

The Exponential and Natural Log Functions (6.3.1)

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3
cards

Differentiating Logarithmic Functions (6.3.2)

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3
cards

Logarithmic Differentiation (6.3.3)

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3
cards

The Basics of Inverse Functions (6.3.4)

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3
cards

Finding the Inverse of a Function (6.3.5)

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2
cards

Derivatives of Inverse Functions (6.4.1)

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1
cards

The Inverse Sine, Cosine, and Tangent Functions (6.5.1)

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2
cards

The Inverse Secant, Cosecant, and Cotangent Functions (6.5.2)

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1
cards

Evaluating Inverse Trigonometric Functions (6.5.3)

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2
cards

Derivatives of Inverse Trigonometric Functions (6.6.1)

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1
cards

Defining the Hyperbolic Functions (6.7.1)

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2
cards

Hyperbolic Identities (6.7.2)

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3
cards

Derivatives of Hyperbolic Functions (6.7.3)

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2
cards

Acceleration and the Derivative (7.1.1)

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2
cards

Solving Word Problems Involving Distance and Velocity (7.1.2)

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3
cards

High-Order Derivatives and Linear Approximation (7.2.1)

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2
cards

Using the Tangent Line Approximation Formula (7.2.2)

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1
cards

Newton's Method (7.2.3)

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1
cards

The Connection between Slope and Optimization (7.3.1)

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2
cards

The Fence Problem (7.3.2)

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2
cards

The Box Problem (7.3.3)

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1
cards

The Can Problem (7.3.4)

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2
cards

The Wire-Cutting Problem (7.3.5)

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3
cards

The Pebble Problem (7.4.1)

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2
cards

The Ladder Problem (7.4.2)

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2
cards

The Baseball Problem (7.4.3)

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3
cards

The Blimp Problem (7.4.4)

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2
cards

Math Anxiety (7.4.5)

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1
cards

An Introduction to Curve Sketching (8.1.1)

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2
cards

Three Big Theorems (8.1.2)

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3
cards

Morale Moment (8.1.3)

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1
cards

Critical Points (8.2.1)

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2
cards

Maximum and Minimum (8.2.2)

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3
cards

Regions Where a Function Increases or Decreases (8.2.3)

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2
cards

The First Derivative Test (8.2.4)

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3
cards

Math Magic (8.2.5)

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1
cards

Concavity and Inflection Points (8.3.1)

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3
cards

Using the Second Derivative to Examine Concavity (8.3.2)

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2
cards

The Möbius Band (8.3.4)

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1
cards

Graphs of Polynomial Functions (8.4.1)

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2
cards

Cusp Points and the Derivative (8.4.2)

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2
cards

Domain-Restricted Functions and the Derivative (8.4.3)

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3
cards

The Second Derivative Test (8.4.4)

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3
cards

Vertical Asymptotes (8.5.1)

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3
cards

Horizontal Asymptotes and Infinite Limits (8.5.2)

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3
cards

Graphing Functions with Asymptotes (8.5.3)

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3
cards

Functions with Asymptotes and Holes (8.5.4)

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3
cards

Functions with Asymptotes and Critical Points (8.5.5)

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3
cards

Antidifferentiation (9.1.1)

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3
cards

Antiderivatives of Powers of x (9.1.2)

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3
cards

Antiderivatives of Trigonometric and Exponential Functions (9.1.3)

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2
cards

Undoing the Chain Rule (9.2.1)

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2
cards

Integrating Polynomials by Substitution (9.2.2)

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2
cards

Integrating Composite Trigonometric Functions by Substitution (9.3.1)

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2
cards

Integrating Composite Exponential and Rational Functions by Substitution (9.3.2)

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2
cards

More Integrating Trigonometric Functions by Substitution (9.3.3)

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2
cards

Choosing Effective Function Decompositions (9.3.4)

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2
cards

Approximating Areas of Plane Regions (9.4.1)

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2
cards

Areas, Riemann Sums, and Definite Integrals (9.4.2)

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3
cards

The Fundamental Theorem of Calculus, Part 1 (9.4.3)

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2
cards

The Fundamental Theorem of Calculus, Part II (9.4.4)

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3
cards

Illustrating the Fundamental Theorem of Calculus (9.4.5)

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3
cards

Evaluating Definite Integrals (9.4.6)

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3
cards

An Overview of Trigonometric Substitution Strategy (9.5.1)

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1
cards

Trigonometric Substitution Involving a Definite Integral: Part One (9.5.2)

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1
cards

Trigonometric Substitution Involving a Definite Integral: Part Two (9.5.3)

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2
cards

Deriving the Trapezoidal Rule (9.6.1)

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1
cards

An Example of the Trapezoidal Rule (9.6.2)

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1
cards

Antiderivatives and Motion (10.1.1)

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5
cards

Gravity and Vertical Motion (10.1.2)

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3
cards

Solving Vertical Motion Problems (10.1.3)

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2
cards

The Area between Two Curves (10.2.1)

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2
cards

Limits of Area and Integration (10.2.2)

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1
cards

Common Mistakes to Avoid When Finding Areas (10.2.3)

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2
cards

Regions Bound by Several Curves (10.2.4)

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1
cards

Finding Areas by Integrating with Respect to y: Part One (10.3.1)

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2
cards

Finding Areas by Integrating with Respect to y: Part Two (10.3.2)

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2
cards

Area, Integration by Substitution, and Trigonometry (10.3.3)

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2
cards

Finding the Average Value of a Function (10.4.1)

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2
cards

Finding Volumes Using Cross-Sectional Slices (10.5.1)

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2
cards

An Example of Finding Cross-Sectional Volumes (10.5.2)

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2
cards

Solids of Revolution (10.6.1)

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2
cards

The Disk Method along the y-Axis (10.6.2)

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2
cards

A Transcendental Example of the Disk Method (10.6.3)

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2
cards

The Washer Method across the x-Axis (10.6.4)

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2
cards

The Washer Method across the y-Axis (10.6.5)

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2
cards

Introducing the Shell Method (10.7.1)

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1
cards

Why Shells Can Be Better Than Washers (10.7.2)

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2
cards

The Shell Method: Integrating with Respect to y (10.7.3)

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1
cards

An Introduction to Work (10.8.1)

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3
cards

Calculating Work (10.8.2)

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2
cards

Hooke's Law (10.8.3)

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2
cards

Center of Mass (10.9.1)

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3
cards

The Center of Mass of a Thin Plate (10.9.2)

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2
cards

An Introduction to Arc Length (10.10.1)

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2
cards

Finding Arc Lengths of Curves Given by Functions (10.10.2)

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1
cards

An Introduction to Differential Equations (11.1.1)

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2
cards

Solving Separable Differential Equations (11.1.2)

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2
cards

Finding a Particular Solution (11.1.3)

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1
cards

Direction Fields (11.1.4)

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2
cards

Euler's Method for Solving Differential Equations Numerically (11.1.5)

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2
cards

Exponential Growth (11.2.1)

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1
cards

Logistic Growth (11.2.2)

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4
cards

Radioactive Decay (11.2.3)

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2
cards

Indeterminate Forms (12.1.1)

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2
cards

An Introduction to L'Hôpital's Rule (12.1.2)

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2
cards

Basic Uses of L'Hôpital's Rule (12.1.3)

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3
cards

More Exotic Examples of Indeterminate Forms (12.1.4)

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3
cards

L'Hôpital's Rule and Indeterminate Products (12.2.1)

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2
cards

L'Hôpital's Rule and Indeterminate Differences (12.2.2)

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2
cards

L'Hôpital's Rule and One to the Infinite Power (12.2.3)

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2
cards

Another Example of One to the Infinite Power (12.2.4)

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2
cards

The First Type of Improper Integral (12.3.1)

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3
cards

The Second Type of Improper Integral (12.3.2)

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1
cards

Infinite Limits of Integration, Convergence, and Divergence (12.3.3)

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1
cards

An Introduction to Paradoxes (13.1.1)

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1
cards

Paradoxes and Air Safety (13.1.2)

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1
cards

A Glimpse Into Calculus II (13.3.1)

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2
cards

- Class purpose General learning

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