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Calculus for Business

Mathematical Sciences Librarian

Science Education Specialist

**MathSciNet **is the major database to find content in the mathematics and statistics literature.

**MathSciNet has been Redesigned!**

This redesign has made significant changes to the way you search MathSciNet. The following tutorials will walk you through these changes:

- MathSciNet: Basic Search
- MathSciNet: Using Field Codes
- MathSciNet: Using Filters
- MathSciNet: Citing
- Example: Using MathSciNet's Updated Features to Explore Arithmetic Progressions

You can still use the previous interface, see the *Show Classic Interface* link above the magnifying glass search button, to the upper right of the search box.

Citation databases allow you to see for each article the items it cited and also the items that have cited it. If you find a great article, use these databases to move both back and forward in time from that article.

- Scopus This link opens in a new windowCitation searching across most disciplines. Contains most of the content from Compendex (engineering and computer science) and GEOBASE (geography).
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*Google Scholar covers a wide range of topics.*

* Use the above link to you can make sure Google Scholar works best for you on or off campus.* In order to better use it, connect it to OSU by going to

You'll see some important buttons while using the OSU Libraries resouces. Especially important are these 4:

Where: OSU Library Catalog.

What: Have an item sent to another location for pickup or recall an item checked out.

Where: OSU Library Catalog.

What: Check for access of an individual item via OhioLINK - such as an item checked out at OSU. Also repeats searches in the OhioLINK catalog to see additional options for your need.

Where: OhioLINK Catalog

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Where: Library Databases

What: Check for online access to journal articles, conference papers, and more. Also gives interlibrary loan option if item is not available online.

- Precise Definition of the Limit
- Functions and limits
- One-sided Limits Calculus-Limits & Continuity: Definition of the Limit
- One-sided limits and limits involving infinity
- Khan Academy: Introduction to limits
- Khan Academy: Limit properties
- Khan Academy: Limits by factoring
- Khan Academy: Limits by direct substitution
- Khan Academy: Infinite limits intro
- Khan Academy: Limit examples (part 1
- Khan Academy: Limit examples (part 2)
- Khan Academy: Limit examples (part 3)

- Continuity
- Making the Function Continuous
- Continuity and differentiability
- Khan Academy: Limits to define continuity
- Khan Academy:Continuity at a point
- Khan Academy: Worked example: Continuity at a point
- Khan Academy: Proof: Differentiability implies continuity
- Khan Academy: Differentiability and continuity
- Khan Academy: Defining a function at a point to make it continuous
- Khan Academy: Functions that are continuous on all real numbers

- Khan Academy: Continuity over an interval

- Definition of the Derivative
- Derivative rules and tangent lines
- Khan Academy: Derivative as a concept
- Khan Academy: The graphical relationship between a function & its derivative (part 1)
- Khan Academy: The graphical relationship between a function & its derivative (part 2)
- Khan Academy: Graphs of functions and their derivatives example
- Khan Academy:Connecting f, f', and f'' graphically
- Khan Academy: Figuring out which function is the derivative
- Khan Academy: Identifying a function's derivative example
- Khan Academy: Basic derivative rules (Part 1)
- Khan Academy: Basic derivative rules (Part 2)
- Khan Academy: Basic derivative rules: table
- Khan Academy: Basic derivative rules: find the error

- Derivative rules and tangent lines
- Khan Academy: Basic derivative rules (Part 1)
- Khan Academy: Basic derivative rules (Part 2)
- Khan Academy: Basic derivative rules: table
- Khan Academy: Basic derivative rules: find the error

- Product Rule, Two Functions
- Khan Academy: Product rule
- Khan Academy: Quotient rule and common derivatives

- Chain Rule with Power Rule Calculus-Derivatives: Chain Rule
- Chain Rule for Multivariable Functions Calculus-Partial Derivatives: Chain Rule
- Chain Rule for Multivariable Functions and Tree Diagrams Calculus-Partial Derivatives: Chain Rule
- Higher derivatives and the chain rule
- Khan Academy: Power rule
- Khan Academy: Chain rule
- Khan Academy: Chain Rule Examples
- Khan Academy:Chain rule proof
- Khan Academy:Chain rule with the power rule
- Khan Academy: Common chain rule misunderstandings
- Khan Academy: Multivariable chain rule

- Exponential Derivatives
- Sales Decline
- Khan Academy: Exponential functions differentiation intro
- Khan Academy: Exponential functions differentiation
- Khan Academy: Proof: d/dx(e^x) = e^x
- Khan Academy: Chain rule for derivative of 2^x

- Logarithmic Derivatives
- Logarithmic Derivatives Example 2
- Khan Academy: Differentiating logarithmic functions using log properties
- Khan Academy: Derivative of natural logarithm
- Khan Academy: Logarithmic functions differentiation
- Khan Academy: Proof: d/dx(ln x) = 1/x
- Khan Academy: Derivative of log with arbitrary base
- Khan Academy:Derivative of ln(x)

- Implicit Differentiation
- Implicit Differentiation, Equation of the Tangent Line
- Khan Academy: Implicit differentiation
- Khan Academy: Implicit Differentiation
- Khan Academy: Implicit Differentiation (part 2)
- Khan Academy: Worked example: Implicit differentiation
- Khan Academy: Showing explicit and implicit differentiation give same result
- Khan Academy: More implicit differentiation
- Khan Academy:Worked example: Evaluating derivative with implicit differentiation

- Logarithmic Derivatives
- Logarithmic Derivatives Example 2
- Logarithmic Differentiation
- Logarithmic Differentiation Example 2
- Khan Academy Logarithmic functions differentiation
- Khan Academy: Differentiating logarithmic functions using log properties
- Khan Academy: Derivative of natural logarithm
- Khan Academy: Proof: d/dx(ln x) = 1/x
- Khan Academy: Derivative of log with arbitrary base

- Higher derivatives and the chain rule
- Higher Order Partial Derivatives
- Khan Academy: Second derivatives
- Khan Academy:Second derivatives (implicit equations): find expressio
- Khan Academy: Connecting f, f', and f'' graphically
- Khan Acacemy: Second derivatives (implicit equations): evaluate derivative

- Extrema and max/min word problems
- Critical Points
- Second Derivative Test
- Increasing and Decreasing
- Global Extrema of Multivariable Functions
- Khan Academy: Critical points introduction
- Khan Academy: Multivariable maxima and minima
- Khan Academy: Saddle points
- Khan Academy: Second partial derivative test

- Concavity
- Khan Academy: Concavity introduction
- Khan Academy: Inflection Points and Concavity Intuition
- Khan Academy: Analyzing concavity (algebraic)
- Khan Academy: Recognizing concavity exercise

- Second Derivative Test
- Khan Academy: Second derivative test

- Khan Academy: Introduction to minimum and maximum points
- Khan Academy: Finding absolute extrema on a closed interval
- Khan Academy: How to recognize relative and absolute maxima and minima
- Khan Academy: Absolute minima & maxima (entire domain)
- Khan Academy: Multivariable maxima and minima

- Circles, Center and Radius Calculus-Precalculus: Graphing Functions
- Sketching Graphs Calculus-Applications of Derivatives: Optimization
- Vertical Line Test Calculus-Precalculus: Functions
- Crazy Graphs Calculus-Limits & Continuity: Solving Limits
- Removable Discontinuities Calculus-Limits & Continuity: Continuity
- Curve sketching
- Khan Academy: Graphing with Calculus

- Estimating Indefinite Integrals
- Khan Academy: Antiderivatives and indefinite integrals
- Khan Academy: The Indefinite Integral or Anti-derivative
- Khan Academy: Indefinite integrals (part II)
- Khan Academy: Indefinite Integration (part III)
- Khan Academy:Indefinite Integration (part IV)
- Khan Academy: Indefinite Integration (part V)
- Khan Academy: Integration by Parts (part 6 of Indefinite Integration)
- Khan Academy: Indefinite Integration (part 7)
- Khan academy: Graphs of indefinite integrals
- Khan academy: Indefinite integrals: sums & multiples
- Khan Academy: Indefinite integrals of sin(x), cos(x), and e^x
- Khan Academy: Indefinite integral of 1/x

- Area Under or Enclosed by the Curve
- Trapezoidal Rule
- Khan Academy: Introduction to definite integrals
- Khan Academy: Definite integrals (part II)
- Khan Academy: Definite Integrals (area under a curve) (part III)
- Khan Academy: Definite Integrals (part 4)

- Area Under or Enclosed by the Curve Calculus-Integrals: Definite Integrals
- U-Substitution in Definite Integrals Calculus-Integrals: U-Substitution
- Definite integrals and Riemann sums
- Khan Academy:Introduction to definite integrals
- Khan Academy: Definite integral as the limit of a Riemann sum
- Khan Academy: Finding definite integrals using area formulas
- Khan Academy: Definite integral of rational function
- Khan Academy: Definite integral properties (no graph): breaking interval
- Khan Academy: Worked examples: Definite integral properties 1
- Khan Academy: Worked examples: Definite integral properties 2

- Part 1 of the FTC
- Part 2 of the FTC
- Khan Academy: Fundamental theorem of calculus (Part 1)
- Khan Academy: Fundamental theorem of calculus (Part 2)

- Integration techniques
- U-Substitution
- Khan Academy: U-substitution intro
- Khan Academy: U-substitution with definite integral
- Khan Academy: U-substitution: definite integrals
- Khan Academy: U-substitution and back substitution

- Integration techniques
- U-Substitution
- Khan Academy: U-substitution intro
- Khan Academy: U-substitution with definite integral
- Khan Academy: U-substitution: definite integrals
- Khan Academy: U-substitution and back substitution

- Area Between Upper and Lower Curves
- Khan Academy: Area between curves
- Khan Academy: Area between curves
- Khan Academy: Area between curves with multiple boundaries

- Consumer and Producer Surplus
- Khan Academy: Consumer surplus introduction
- Khan Academy: Producer surplus
- Khan Academy: Total consumer surplus as area

- Khan Academy: What is a differential equation
- Khan Academy:Differential equation introduction
- Khan Academy: Writing a differential equation
- Khan Academy:Differential equations (playlist)

- Partial Derivatives in Two Variables
- Partial Derivatives in Three or More Variables
- Khan Academy: Partial derivatives, introduction
- Khan Academy: Formal definition of partial derivatives
- Khan Academy: Partial derivatives and graphs
- Khan Academy: Partial derivatives
- Khan Academy: Partial derivatives 2
- Khan Academy: Partial derivatives of vector-valued functions
- Khan Academy: Partial derivatives of vector fields
- Khan Academy: Computing the partial derivative of a vector-valued function
- Khan Academy: Partial derivatives of vector fields, component by component

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- OhioLINK CatalogSearch for books statewide.

- Electronic Book Center (OhioLINK) [Full Text] This link opens in a new windowElectronic Book Center included ebooks on all subjects, including many encyclopedias, handbooks, biographical collections, and guides.

The OSU Library Catalog has subject headings. If you had found a good book on your topic, examine the subject headings for that book below the location/call number box. You can click on these to see other items with that subject ot you can search subject directly as follows.

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"History" is a subdivision of a subject that can be added after any other term. Examples: Format: branch--history. Clickable examples:

For mathematics history in a country, region, use for format mathematics--country/region--history Examples:

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