Contour Maps, Gradient Vectors, and Directions Derivatives

For our final project in Multivariable Calculus, we chose to focus on contour maps, gradient vectors, and directional derivatives. To help visualize what a contour map is, one can compare a contour map to a collapsible camping bowl. The bowl … Continue reading “Contour Maps, Gradient Vectors, and Directions Derivatives”

Using Constrained Optimization and Lagrange Multipliers to Maximize Production Subject to a Budget

Suppose a business produces a product using two materials, and there is a function to model the amount of product created based on quantities of raw materials. The business obviously also has a budget. How can the business maximize the … Continue reading “Using Constrained Optimization and Lagrange Multipliers to Maximize Production Subject to a Budget”

Graphing Rough 3D Model of Saigon Notre-Dame Basilica Using Mathematica

The Saigon Notre-Dame Basilica is located in the downtown of Ho Chi Minh City, Vietnam. It was established by the French during their colonization, under the name of Cathédrale Notre-Dame de Saigon. It was modeled after the Notre-Dame de Paris … Continue reading “Graphing Rough 3D Model of Saigon Notre-Dame Basilica Using Mathematica”

Electromagnetism: Curl and Divergence

The divergence and curl mathematical operators are used to develop theorems of multivariable calculus and can be applied to physical topics such as fluids, electromagnetism, and elasticity theory. In our Physics 201 Electromagnetism class we learned multiple equations which use … Continue reading “Electromagnetism: Curl and Divergence”