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

Flashcard maker: Anton Soloshenko

Decks in this class (169)

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  cards
Average Rates of Change (1.1.3)
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2  cards
How to Do Math (1.1.4)
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1  cards
Functions (1.2.1)
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3  cards
Graphing Lines (1.2.2)
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3  cards
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

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