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Matheno: How to Solve Optimization Problems in Calculus
Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.
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Stewart Resources Centre: Optimization Problems in Calculus [Pdf]
This is a tenth grade calculus unit on optimization problems.
University of California
University of California: Maximum/minimum Problems
The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.
Paul Dawkins
Paul's Online Notes: Optimization
Optimizations problems with examples, solutions, and links to further explain methods to solve.
TeachEngineering
Teach Engineering: Solving Everyday Problems Using the Engineering Design Cycle
Students are introduced to two real-life problems that can be solved by using the engineering design process. For the first one, they watch a slide presentation that shows how students use the engineering design process to build an...
Texas Instruments
Texas Instruments: Optimization
This activity illustrates how the derivative is used to find a solution to an optimization problem.
Science Education Resource Center at Carleton College
Serc: Calzones vs. Mini Pizzas a Linear Programming Problem
This module presents a linear programming problem. An example of the revenue-maximizing product mix for a pizza parlor is developed. This is an example of a more general mathematical optimization (maximization or minimization) problem....
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Problemas De Optimizacion
In Spanish. Apply your Calculus knowledge using interactive activities to solve optimization problems.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Derivatives
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
Texas Instruments
Texas Instruments: Optimization
This activity shows the student how to determine the optimal solution for maximum volume based on the box-with-no-top problem.
Other
High Step Sport Shoes: A Linear Programming Problem [Pdf]
A simple example of a linear programming problem for students that helps them understand the basic ideas behind linear programming and how they can be applied to solving real world problems.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Applications of Maxima and Minima
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Applications of Maximum and Minimum Values
Here is a site that clearly and thoroughly explains how to solve applied max/min problems using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Department of Defense
Do Dea: Optimization Examples
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
University of Canterbury
University of Canterbury: Cs Unplugged: Minimal Spanning Trees
This puzzle shows students the decisions involved in linking a network between houses in a muddy city. It can lead on to a discussion of minimal spanning tree algorithms for optimizing networks.
Other
Embrace the Future: Resilient Kids
Advice about strengthening your ability to bounce back from adversity. Learn key skills, such as problem solving, making friends, and positive thinking, that will help you stay happy, healthy, and productive.
Forum Romanum
Outlines of Roman History: Reforms of Tiberius and Gaius Gracchus
This chapter in William Morey's 1901 text discusses the land reforms of the Gracchi brothers. Find out how well they worked and the problems they caused.
Texas Instruments
Texas Instruments: Differential Calculus
In this activity, students learn to solve problems dealing with limits, derivatives, and optimization. They use various features of the TI-86 to study some important ideas covered in a differential calculus course.
Other
Science Direct: New Lower Bounds for the Three Dimensional Finite Bin Packing
This article analyzes the three-dimensional finite bin packing problem (3BP). The 3BP finds many practical applications as it is a simplified version of many real-world problems, e.g. container and pallet loading.
Other
Roots of Action: How Kids Learn to Take Initiative and Overcome Challenges
Learning to take initiative is a behavior that helps kids navigate their lives with courage and optimism. This article provides insights into how children learn to take initiative. Parents and teachers are key mentors in the process. A...
Other
Avon Schools: Bin Packing Guided Practice
Bin packing guided problems with solutions worked out on the examples.
TeachEngineering
Teach Engineering: Biomimicry: Echolocation in Robotics
Students use ultrasonic sensors and LEGO MINDSTORMS NXT robots to emulate how bats use echolocation to detect obstacles. They measure the robot's reaction times as it senses objects at two distances and with different sensor threshold...
TeachEngineering
Teach Engineering: Magnetic Launcher
Students explore electromagnetism and engineering concepts using optimization techniques to design an efficient magnetic launcher. Groups start by algebraically solving the equations of motion for the velocity at the time when a...
Other
Core Plus: Discrete Mathematics
The Contemporary Mathematics in Context series provides a common core of broadly useful mathematics for all students. The discrete mathematics strand develops student ability to model and solve problems involving enumeration, sequential...