Mathematical Sciences Librarian

Science Education Specialist

- Khan Academy: Differential equation introduction
- Khan Academy: What is a differential equation
- Khan Academy: First order differential equations
- Khan Academy: Simple Differential Equations
- Khan Academy: Writing a differential equation
- Khan Academy: First order homogenous equations

- Khan Academy: Particular solution to differential equation example
- Khan Academy: Finding particular linear solution to differential equation
- Khan Academy: Verifying solutions to differential equations
- Khan Academy: Worked example: exponential solution to differential equation
- Khan Academy: Laplace transform to solve an equation
- Khan Academy: Solving the logistic differential equation part 1
- Khan Academy: Solving the logistic differential equation part 2
- Khan Academy: Worked example: Logistic model word problem
- Khan Academy: Simple Differential Equation Example
- Khan Academy: Exact equations example 1
- Khan Academy: Worked example: separable differential equations

- Khan Academy: Separable differential equations introduction
- Khan Academy: Worked example: separable differential equations
- Khan Academy: Worked example: identifying separable equations
- Khan Academy: Worked example: separable differential equation (with taking exp of both sides)
- Khan Academy: Worked example: separable differential equation (with taking log of both sides)
- Khan Academy: Worked example: separable equation with an implicit solution

- Khan Academy: Modeling population with simple differential equation |
- Khan Academy: Modeling population as an exponential function
- Khan Academy: Newton's Law of Cooling

- Khan Academy: Modeling population with simple differential equation
- Khan Academy: Modeling population as an exponential function

- Khan Academy: First order homogenous equations
- Khan Academy: First order homogeneous equations 2
- Khan Academy: 2nd order linear homogeneous differential equations 1
- Khan Academy: 2nd order linear homogeneous differential equations 2
- Khan Academy: 2nd order linear homogeneous differential equations 3
- Khan Academy: 2nd Order Linear Homogeneous Differential Equations 4

- Khan Academy: Complex roots of the characteristic equations 1
- Khan Academy: Complex roots of the characteristic equations 2
- Khan Academy: Complex roots of the characteristic equations 3
- Khan Academy: Example modeling asteroid velocity with differential equation

- Khan Academy: Repeated roots of the characteristic equation
- Khan Academy: Repeated roots of the characteristic equations part 2

- Khan Academy: 2nd order linear homogeneous differential equations 1
- Khan Academy: 2nd order linear homogeneous differential equations 2
- Khan Academy: 2nd order linear homogeneous differential equations 3
- Khan Academy: 2nd Order Linear Homogeneous Differential Equations 4

- Khan Academy: Undetermined coefficients 1
- Khan Academy: Undetermined coefficients 2
- Khan Academy: Undetermined coefficients 3
- Khan Academy: Undetermined coefficients 4

- Khan Academy: Fourier Series introduction

- Khan Academy: Linear Algebra Playlist

- Solving Systems of Equations
- Khan Academy: Introduction to matrices
- Khan Academy: Matrix equations and systems
- Khan Academy: Matrices to solve a system of equation
- Khan Academy: Introduction to the matrix

- Khan Academy: Matrices: Reduced row echelon form 1
- Khan Academy: Matrices: Reduced row echelon form 2
- Khan Academy: Matrices: Reduced row echelon form 3

- Khan Academy: Consistent and inconsistent systems
- Khan Academy: Inconsistent systems of equations

- Khan Academy: Defined and undefined matrix operations
- Khan Academy: Matrix addition and subtraction
- Khan Academy: More on matrix addition and scalar multiplication
- Khan Academy: Matrix multiplication introduction
- Khan Academy: Matrix multiplication (part 1)
- Khan Academy: Matrix multiplication (part 2)
- Khan Academy: Scalar multiplication
- Khan Academy: Multiplying a matrix by a column vector
- Khan Academy: Multiplying a matrix by a matrix

- Khan Academy: Associative property of matrix multiplication
- Khan Academy: Is matrix multiplication commutative
- Khan Academy: Distributive property of matrix products
- Khan Academy: Singular matrices

- Khan Academy: Introduction to linear independence
- Khan Academy: Span and linear independence example
- Khan Academy: More on linear independence
- Khan Academy: Relation of null space to linear independence of columns

- Khan Academy: Inverse of a 2x2 matrix
- Khan Academy: Idea behind inverting a 2x2 matrix
- Khan Academy: Example of finding matrix inverse
- Khan Academy: Deriving a method for determining inverses
- Khan Academy: Invertible and noninvertibles matrices
- Khan Academy: Inverting 3x3 part 1
- Khan Academy: Inverting 3x3 part 2
- Khan Academy: Showing that inverses are linear
- Khan Academy: Classic video on inverting a 3x3 matrix part 1
- Khan Academy: Classic video on inverting a 3x3 matrix part 2

- Khan Academy: Linear Algebra: Introduction to Vectors
- Khan Academy: Adding vectors
- Khan Academy: Vector intro for linear algebra
- Khan Academy: Vector intro for linear algebra
- Khan Academy: Normal vector from plane equation
- Khan Academy: Defining a plane in R3 with a point and normal vector
- Khan Academy: Visualizing a projection onto a plane
- Khan Academy: Point distance to plane
- Khan Academy: Multiplying a vector by a scalar

- Khan Academy: Vectors and spaces

- Dot Products
- Dot Products
- Cross Product of Two Vectors
- Khan Academy: Vector dot product and vector length
- Khan Academy: Cross product introduction
- Khan Academy: Dot vs. cross product
- Khan Academy: Dot and cross product comparison/intuition

- Khan Academy: Vector dot product and vector length

- Khan Academy: Basis of a subspace

- Khan Academy: Dimension of the column space or rank
- Khan Academy: Dimension of the null space or nullity
- Khan Academy: Dimensions of identity matrix

- Khan Academy; Vectors and spaces

- Khan Academy: Linear subspace
- Khan Academy: Basis of a subspace
- Khan Academy: Projections onto subspaces
- Khan Academy: Subspace projection matrix example
- Khan Academy: Projection is closest vector in subspace

- Khan Academy: Coordinates with respect to a basis
- Khan Academy: Span and linear independence example
- Khan Academy: Span and linear independence example
- Khan Academy: Coordinates with respect to orthonormal bases

- Khan Academy: Introduction to orthonormal bases

- Khan Academy: Linear transformations
- Khan Academy: Linear transformations as matrix vector products
- Khan Academy: Linear transformations as matrix vector products
- Khan Academy: Linear transformation examples: Rotations in R2
- Khan Academy: Linear transformation examples: Rotations in R2
- Khan Academy: Compositions of linear transformations 1
- Khan Academy: Compositions of linear transformations 2

- Khan Academy: Introduction to eigenvalues and eigenvectors
- Khan Academy: Example solving for the eigenvalues of a 2x2 matrix

- Khan Academy: Finding the determinant of a 2x2 matrix
- Khan Academy: 3 x 3 determinant
- Khan Academy: Simpler 4x4 determinant
- Khan Academy: Determinants along other rows/cols
- Khan Academy: Determinant after row operations
- Khan Academy: Determinant when multiplying a matrix by a constant
- Khan Academy: Determinant when row multiplied by scalar
- Khan Academy: Determinant when row multiplied by scalar
- Khan Academy: Complex determinant example

- Khan Academy: Eigenvalues of a 3x3 matrix

- Khan Academy: Finding eigenvectors and eigenspaces example
- Khan Academy: Eigenvectors and eigenspaces for a 3x3 matrix

- Khan Academy: Linear transformations

- OSU Library CatalogSearch for books and other items available at OSU - includes ebooks
- 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.

Examples:

"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:

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 windowScopus is a citation database of peer-reviewed literature and quality web sources with smart tools to track analyze and visualize research. Tools to sort, refine and quickly identify results help researchers focus on the outcome of their work.
- Web of Science Core Collection This link opens in a new windowProvides access to citation indexes which can be searched individually or as one file.
- Arts & Humanities Citation Index indexes 1,100 of the world's leading arts and humanities journals, as well as covering individually selected, relevant items from over 6,800 major science and social science journals.
- Science Citation Index Expanded indexes 5,300 major journals across 164 scientific disciplines and contains searchable, full-length, English-language author abstracts for approximately 70 percent of the articles in the database.
- The Social Sciences Citation Index indexes 1,700 journals spanning 50 disciplines, as well as covering individually selected, relevant items from over 3,300 of the world's leading scientific and technical journals.
- Book Citation Indexes- Science and Social Sciences & Humanties indexes over 30,000 editorially selected books in the sciences, social sciences and humanities, with 10,000 new books added each year. It contains searchable, full-length, English-language author abstracts for approximately 60 per cent of the articles in the database.

- Computers and Applied Sciences Complete [Selected Articles in Full Text] This link opens in a new windowComputers & Applied Sciences Complete (CASC) covers the spectrum of the applied sciences, representing knowledge on traditional engineering challenges and providing material for research concerning the business and social implications of new technology. CASC provides indexing and abstracting for more than 1,300 academic journals, professional publications, and other reference sources. Full Text is also available for more than 500 periodicals. Subject areas include the many engineering disciplines, computer theory, and new technologies. Includes Computer Source - Consumer Edition.

- JSTOR [Selected Articles in Full Text] This link opens in a new windowJSTOR offers multidisciplinary and discipline-specific collections in the humanities, sciences and social sciences. The moving wall represents the time period between the last issue available in JSTOR and the most recently published issue of a journal. It is specified by publishers in their license agreements with JSTOR, and generally ranges from 3 and 5 years. In calculating the moving wall, the current, incomplete year is not counted.
- Academic Search Complete [Selected Articles in Full Text] This link opens in a new windowAcademic Search Complete is comprehensive scholarly, multi-disciplinary full-text database, with more than 5,300 full-text periodicals, including 4,400 peer-reviewed journals. In addition to full text, this database offers indexing and abstracts for more than 9,300 journals and a total of 10,900 publications including monographs, reports, conference proceedings, etc.
- Google Scholar This link opens in a new windowGoogle Scholar indexes items Google considers scholarly, including articles, theses, books, preprints, abstracts, conference proceedings, and technical reports. The OSU Libraries subscribes to the electronic version of many of these materials and may own the print copy. See Make Google Scholar Work For You to set the Google Scholar Preferences to ensure you find materials available free to you from the OSU Libraries and OhioLINK.

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

What: Click to have an item delivered to OSU from an OhioLINK library.

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.

- Choosing & Usng SourcesTutorials on finding and using info.
- Article Express / Interlibrary LoanRequest articles, conference papers, and even books (check OhioLINK first) when unavailable at OSU. Request scans of print-only journal articles available at OSU.