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Physical Sciences and Mathematics Commons™
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Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
The Use Of Calculus To Determine Efficient Fertilizer Levels For Crop Production, Cole Loadholtz
The Use Of Calculus To Determine Efficient Fertilizer Levels For Crop Production, Cole Loadholtz
Undergraduate Journal of Mathematical Modeling: One + Two
For this project, I wanted to incorporate calculus into agriculture and environmental science methods. More in detail, the problem used asked for the maximum levels of nitrogen (N) and phosphorus (P) that would be best for a current crop yield. This allowed incorporating partial derivatives, and critical points to find the maximum values for the equation. The results show that in order to demonstrate maximum crop yield production, the levels of nitrogen (N) and phosphorus (P) were to be both at 2, with the correct corresponding units. The drawback from this problem is that although the problem showed effective nitrogen …
The Effects Of Effluent Discharge Into The Santa Fé River, João Vito Bezerra Dragone
The Effects Of Effluent Discharge Into The Santa Fé River, João Vito Bezerra Dragone
Undergraduate Journal of Mathematical Modeling: One + Two
The discharge of effluents into rivers is something that has occurred a lot throughout our history, rivers like the Mississippi River and the Tiete River (São Paulo, Brazil) have been targets for many years. Therefore, in this paper I choose to show, through hard data and some assumptions, the impact of sewage dumping in water bodies, in this case the Santa Fé River, Florida and the reason why we should avoid dumping these effluents into the rivers.
Internal Combustion Engines: Modeling Internal Temperature As A Function Of Time, Garrett Fandrich
Internal Combustion Engines: Modeling Internal Temperature As A Function Of Time, Garrett Fandrich
Undergraduate Journal of Mathematical Modeling: One + Two
Just like any thermodynamic system, combustion engines must be cooled to eliminate friction due to heat. Without proper cooling, internal components, such as connecting rods, rod bearings, and pistons can be severely damaged due to thermal expansion, leading to severe damage to the engine block or outright catastrophic failure. Modern engines are cooled using coolant, which flows through internal passageways within the engine block to pull heat away from the system. The use of coolant and external components, such as a water pump, radiator, and thermostat allow an engine to efficiently warm to standard operating temperature and remain at said …
The Distribution Of Energies, Dung Tien Do
The Distribution Of Energies, Dung Tien Do
Undergraduate Journal of Mathematical Modeling: One + Two
The application of calculus is of great importance in physics. It is used to calculate energy, acceleration, velocity, and much more. In this paper, to calculate the internal energy of an ideal gas (gas molecules) we will use Maxwell-Boltzmann statistical distribution based entirely on calculus. The technique represents the mathematical concept that depends on integration and substitution in calculus to solve a problem.
Application Of Calculus In The Elastic Curve (Deflection), Ryan Hillock
Application Of Calculus In The Elastic Curve (Deflection), Ryan Hillock
Undergraduate Journal of Mathematical Modeling: One + Two
Beams are extremely important structure members that are used in nearly every application where significant loads need to be supported. In mechanical and civil engineering being able to appropriately design beams to withstand the expected-to-be loads is a foundational skill. Proper beam design is what keeps large machines from failing and buildings from collapsing. One important aspect of beam design to consider is the deflection of the beam due to the applied loads. It is often useful to determine the deflection along any given point in the beam in order to make sure the loaded beam does not displace any …
Converting Velocity Pressure Into Cubic Feet Per Minute (Cfm), Darrian Robinette
Converting Velocity Pressure Into Cubic Feet Per Minute (Cfm), Darrian Robinette
Undergraduate Journal of Mathematical Modeling: One + Two
Almost every building in the United States has a HVAC (Heating, ventilation, and air conditioning) system that relies on balancing Velocity Pressure and calculated CFM to properly control the atmosphere in a building. This is ensured and tested by Field Engineers whose job it is to maintain the efficiency and proper output of these HVAC systems. These systems are used to improve indoor air quality, control moisture and condensation, and contaminants while satisfying comfort needs of occupants. Just with any mechanical system, HVAC systems function efficiently with multiple formulas derived from calculus and physics. Every building is equipped with a …
Volume And Cost Of Longboard Using Aircrete, Mira Stimac
Volume And Cost Of Longboard Using Aircrete, Mira Stimac
Undergraduate Journal of Mathematical Modeling: One + Two
This project utilizes integral calculus to find the volume of a longboard-style surfboard. The cost for using AirCrete as the material for the longboard will then be calculated. Due to the longboard's shape, the longboard is divided into four sections, and the volume of each is found. The final volume for the longboard with the measurements provided is approximately 3821 cubic inches. The cost of making the longboard out of AirCrete was then calculated by using ratios. The final cost for the longboard is $4.70.
Monitoring Drug Concentration In Emergency Medicine, Andrew Woods
Monitoring Drug Concentration In Emergency Medicine, Andrew Woods
Undergraduate Journal of Mathematical Modeling: One + Two
The careful monitoring of a drug’s concentration in the body of a patient is of the utmost importance in modern medicine. Many of the lifesaving medications that are administered in an emergency medicine environment have a narrow window of efficacy. This effective concentration is in an ever-changing state, as the body processes and eliminates exogenous compounds that are introduced to maintain homeostasis. To ensure the proper treatment and/or management of ailments, special attention must be given to the concentration of a given drug in the body as time progresses. These changing concentrations can be evaluated and tracked using the mathematical …