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1. Calculus Theory and Applications
Understanding and describing change is a common theme in the natural sciences, and calculus was developed as a powerful tool to investigate it.
Functions arise here, as a central concept describing a changing quantity. The rigorous study of real numbers and real-valued functions is known as real analysis, with complex analysis the equivalent field for the complex numbers
In this section we shall list each and every resource that comes in handy in the learning of calculus.
Section: University/College
Resources: 15
Hits: 5,546 Hits |
2. Linear Algebra - Theory and Applications
Linear algebra a fundamental ingredient in the study of mathematics. This is the area where one is expected to learn about vector spaces - from bases to advance applications of the same.
Both the theoretical aspects and application aspects of this discipline shall be listed in this section
Section: University/College
Resources: 9
Hits: 2,281 Hits |
3. College Algebra and Trigonometry
Algebra is the branch of mathematics concerning the study of the rules of operations and the things which can be constructed from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.
Section: University/College
Resources: 18
Hits: 1,540 Hits |
4. Ordinary Differential Equations
Ordinary differential equations arise in many different contexts including geometry, mechanics, astronomy and population modelling. Many famous mathematicians have studied differential equations and contributed to the field, including Newton, Leibniz, the Bernoulli family, Riccati, Clairaut, d'Alembert and Euler.
Section: University/College
Resources: 11
Hits: 1,630 Hits |
5. Business Statistics and Quantitative Methods
In applying statistics to a scientific, industrial, or societal problem, it is necessary to begin with a population or process to be studied. Populations can be diverse topics such as "all persons living in a country" or "every atom composing a crystal". A population can also be composed of observations of a process at various times, with the data from each observation serving as a different member of the overall group. Data collected about this kind of "population" constitutes what is called a time series.
Section: University/College
Resources: 10
Hits: 1,131 Hits |
6. Operations Research, Financial Mathematics and Econometrics
The terms operations research and management science are often used synonymously. When a distinction is drawn, management science generally implies a closer relationship to the problems of business management. The field of operations research is closely related to Industrial engineering. Industrial engineers typically consider Operations Research (OR) techniques to be a major part of their toolset.
Section: University/College
Resources: 36
Hits: 3,093 Hits |
7. Abstract Algebra
branch of mathematics concerned with the general algebraic structure of various sets (such as real numbers, complex numbers, matrices, and vector spaces), rather than rules and procedures for manipulating their individual elements
Section: University/College
Resources: 28
Hits: 1,945 Hits |
8. Complex Analysis
Complex analysis is particularly concerned with the analytic functions of complex variables (or, more generally, meromorphic functions). Because the separable real and imaginary parts of any analytic function must satisfy Laplace's equation, complex analysis is widely applicable to two-dimensional problems in physics.
Complex analysis is one of the classical branches in mathematics with its roots in the 19th century and just prior. Important names are Euler, Gauss, Riemann, Cauchy, Weierstrass, and many more in the 20th century. Traditionally, complex analysis, in particular the theory of conformal mappings, has many physical applications and is also used throughout analytic number theory. In modern times, it became very popular through a new boost of complex dynamics and the pictures of fractals produced by iterating holomorphic functions, the most popular being the Mandelbrot set. Another important application of complex analysis today is in string theory which is a conformally invariant quantum field theory.
Section: University/College
Resources: 11
Hits: 1,363 Hits |
9. Applied Mathematics, Numerical Methods and Computing
Section: University/College
Resources: 9
Hits: 1,094 Hits |
10. Probability and Statistics
Section: University/College
Resources: 16
Hits: 2,720 Hits |
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