This single minute video lesson looks at how to add complex numbers.
- Author:
- Khan, Salman
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This 4-minute video lesson give an example of a complex conjugate.
- Author:
- Khan, Salman
This 4-minute video lesson give an example of a complex conjugate.
- Author:
- Khan, Salman
This 5- minute video lesson shows how to divide complex numbers.
- Author:
- Khan, Salman
This 5- minute video lesson shows how to divide complex numbers.
- Author:
- Khan, Salman
This 4-minute video lesson looks at the imaginary roots of negative numbers.
- Author:
- Khan, Salman
This 4-minute video lesson looks at the imaginary roots of negative numbers.
- Author:
- Khan, Salman
This 6-minute video lesson explains how to multiply complex numbers.
- Author:
- Khan, Salman
This 6-minute video lesson explains how to multiply complex numbers.
- Author:
- Khan, Salman
This 3-minute video lesson continues to look at number sets.
- Author:
- Khan, Salman
This 7-minute video lesson continues to look at number sets.
- Author:
- Khan, Salman
This 2-minute video lesson explains how to subtract complex numbers.
- Author:
- Khan, Salman
This 2-minute video lesson explains how to subtract complex numbers.
- Author:
- Khan, Salman
This task asks students to perform computations involving complex numbers using the given information.
- Author:
- Illustrative Mathematics
This 7-minute video lesson looks at 2010 IIT JEE Paper 1 Problem 39.
- Author:
- Khan, Salman
This 7-minute video lesson continues to look at 2010 IIT JEE Paper 1 Problem 39.
- Author:
- Khan, Salman
This 3-minute video lesson concludes the discussion of 2010 IIT JEE Paper 1 Problem 39.
- Author:
- Khan, Salman
Conditional Remix & Share Permitted
CC BY-NC-SA
Number systems and the rules for combining numbers can be daunting. This unit will help you to understand the detail of rational and real numbers, complex numbers and integers. You will also be introduced to modular arithmetic and the concept of a relation between elements of a set.
- Subject:
- Mathematics
- Material Type:
- Activity/Lab
- Reading
- Syllabus
- Author:
- The Open University
- Date Added:
- 02/16/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
Introduction to numerical methods: interpolation, differentiation, integration, systems of linear equations. Solution of differential equations by numerical integration, partial differential equations of inviscid hydrodynamics: finite difference methods, panel methods. Fast Fourier Transforms. Numerical representation of sea waves. Computation of the motions of ships in waves. Integral boundary layer equations and numerical solutions.
- Subject:
- Calculus
- Mathematics
- Material Type:
- Full Course
- Textbook
- Author:
- Prof. Jerome Milgram
- Date Added:
- 01/01/2003
This course begins by establishing the definitions of the basic trig functions and exploring their properties, and then proceeds to use the basic definitions of the functions to study the properties of their graphs, including domain and range, and to define the inverses of these functions and establish the their properties. Through the language of transformation, the student will explore the ideas of period and amplitude and learn how these graphical differences relate to algebraic changes in the function formulas. The student will also learn to solve equations, prove identities using the trig functions, and study several applications of these functions. Upon successful completion of this course, the student will be able to: measure angles in degrees and radians, and relate them to arc length; solve problems involving right triangles and unit circles using the definitions of the trigonometric functions; solve problems involving non-right triangles; relate the equation of a trigonometric function to its graph; solve trigonometric equations using inverse trig functions; prove trigonometric identities; solve trig equations involving identities; relate coordinates and equations in Polar form to coordinates and equations in Cartesian form; perform operations with vectors and use them to solve problems; relate equations and graphs in Parametric form to equations and graphs in Cartesian form; link graphical, numeric, and symbolic approaches when interpreting situations and analyzing problems; write clear, correct, and complete solutions to mathematical problems using proper mathematical notation and appropriate language; communicate the difference between an exact and an approximate solution and determine which is more appropriate for a given problem. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 003)