Circular Motion in Applied Math defines the principles that guide the movement of particles in a circle. Suppose a particle moves along a circular path (called an arc) from a point A to a point B covering an angle ᶿ within a time interval t;
- Angular velocity (ω) = angle covered (ᶿ)/ time interval (t), where ᶿ is in radians.
- A radian = arc length (s)/ radius (r).
- For 1 revolution (360o), radian = 2πr/ r = 2π.
- Time for 1 rev = T, so ω = 2π/ T; T = 2π/ ω.
- Frequency (f) = 1 rev/ T i.e. 1/ (2π/ ω) = ω/ 2π.
- A particle moving in a circular path moves with a constant velocity (v) in Circular Motion in Applied Math. If v is not constant, ω = ∆ᶿ/ ∆t. Engineering in Kenya has more information.
When doing a Masters Degree Mathematics, one will in the end view mathematics as an enigmatic field of research. Studies involved in the Masters Degree Mathematics are fields of research in their own rights. Here, fundamental mathematical studies are undertaken without any particular applications in mind. On the other hand, mathematics is the language used in the construction of abstract models of the real world that underpin D and R other fields, including applications in industry. Mathematics in Masters Degree Mathematics is used to help understand reality and help change parts of it for the benefit of Man. It is used in many fields, including chemistry, engineering, physics, economics, biology, political studies, environmental studies, and medicine. Engineering in Kenya has more articles.
Acquiring a Masters Degree Mathematics
The first step in acquiring a Masters Degree Mathematics is often the construction of a mathematical model i.e. a description of a problem using mathematical terms. The model is then studied by analytical or numerical methods to obtain an exact or approximate solution. Eventually, the conclusions made after analysis are interpreted in the language of the original problem to make them more familiar to a client or user. Many a times the model is altered to conform or include more features of the problem. Thus, the modeling process may involve false starts, simplifications and modifications.
Serious mathematics in the Masters Degree Mathematics enters in the second stage, where the solution of mathematical problems, and the analysis and development of the underlying theory are done. This stage will include numerical or analytical methods. The approach will range from formal methods and specific algorithms to abstract but general theories. It is never clear which mathematical skills will be more useful in the study of a new problem in a Masters Degree Mathematics; thus the introduction of applied mathematics. A mathematical scientist must not only be a good mathematician but also knowledgeable in the area to which mathematics is to be applied.
Thus, a student pursuing a Masters Degree Mathematics must be concerned with the construction and interpretation of appropriate models. The art of developing models requires that the modeler (who is the student) makes decisions about which factors to include and which to exclude. The overall aim is to produce a model that is realistic enough. It should reflect on the aspects of the phenomena being modeled, and also be simple enough to be treated mathematically.
Many a times a model is formulated to answer a specific question. Sometimes thou, the modeler must either simplify the model to allow for analysis, or devise a new mathematical method that will be employed in the analysis of the model. Often combinations of numerical and analytical methods are used. The modeling process in the Masters Degree Mathematics program may sometimes involve a sequence of models of increasing complexity. Problems sometimes lead to the development of new mathematical methods, and mathematical methods in existence often lead to new insights into the problems. Any successful Masters Degree Mathematics student must be comfortable, competent and confident in both mathematics and its fields of application.
Applied Mathematics in the Masters Degree MathematicsRead More
The philosophy of the Applied Mathematics Economics program is to provide enough command in mathematical concepts. This in turn will allow one to pursue an economics program which emphasizes on up to date research problems. The economic theory in recent decades uses more and more mathematics, and as a result, simple research in the field of economics has turned into complex statistical techniques. The Applied Mathematics Economics concussion is designed to reflect on the statistical and mathematical nature of the modern economic theory and empirical research. Engineering in Kenya has more topics
This concussion comes in two tracks. The first track in Applied Mathematics Economics is the advanced economics track. This track is intended to prepare learner for graduate study in economics. The second track in Applied Mathematics Economics is the mathematical finance track. This track is intended to prepare learners for graduate study in finance, or for jobs in finance and financial engineering. Both tracks of the Applied Mathematics Economics concussion have A.B. degree types and BSc. degree types.
Advanced Economics Track in Applied Mathematics Economics
Standard Program for the A.B. in Applied Mathematics Economics: -
Mandatory requirements: – Math 0520and MATH 0100.
The Applied Mathematics Economics course is in two forms;
Applied Mathematics requirements: -
a) APMA 0360 and 0350 (APMA 0340 and 0330 can be substituted with advisory)
- One course from the following; (APMA 0160, CSCI 0040, 0170, 0150)
- One course from the following; (APMA 1210,1200)
- APMA 1650
b) One course from the following; (APMA 1660,1200, 1210, 1700,1690, 1680,1670, or Math 1010
The requirements a) and b) cannot be substituted simultaneously by another course.
Economics requirements: -
- Econ 1130 (or 1110 with a permit)
- Econ 1630
- Econ 1210
- Three additional 1000-level economics courses. Of the three courses, two must be chosen from the mathematical economics category. This group comprises Econ 1860, 1170, , 1870, 1750, 1470, 1640, , 1759, 1810, 1850, , and 1465.
Just to see how the interactions of Biology and Applied Mathematics may proceed in the future, it is helpful to map the present landscapes of Biology and Applied Mathematics. Engineering in Kenya has more articles.
A biological landscape may be drawn as a rectangular table with different columns for different questions and different rows for different biological domains. Biology asks six types of questions. What is it for?How is it built? What goes wrong?How does it work? How is it fixed? How did it begin? These are questions, respectively, about structures, pathologies,mechanisms, origins,repairs, and purposes or functions.
In Biology and Applied Mathematics, the former teleological interpretation of purpose has been substituted for an evolutionary angle/ perspective. Biological domains, or levels of organization in Biology and Applied Mathematics, include molecules, organs,cells, tissues, individuals, communities,populations, ecosystems or landscapes, and the biosphere. Many biological research problems can be categorized as the combination of one or more queries directed to one or more domains.Read More