References: Optimization
-
Mathematical optimization - Wikipedia - Broad overview of optimization theory including constrained and unconstrained problems. Provides context for the applied optimization problems solved in this chapter.
-
Maxima and minima - Wikipedia - Finding extreme values using first and second derivative tests with applications. Core mathematical reference for the optimization techniques in this chapter.
-
Fermat's theorem (stationary points) - Wikipedia - The theorem that interior extrema must occur at critical points. Foundational result underlying all optimization procedures in this chapter.
-
Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Section 4.7 presents optimization problems with a clear problem-solving strategy and diverse applications including geometry, physics, and economics.
-
Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Section 4.6 covers applied optimization with emphasis on translating word problems into mathematical models before applying calculus.
-
Optimization Problems - Paul's Online Math Notes - Step-by-step optimization strategy with worked examples covering fencing, boxes, cans, and distance minimization problems.
-
Optimization Problems - Khan Academy - Interactive practice on setting up and solving applied optimization problems aligned to AP Calculus expectations.
-
Optimization - Professor Leonard - Detailed lecture on the optimization problem-solving framework with multiple worked examples and strategies for modeling.
-
Applied Maximum and Minimum Problems - Math is Fun - Visual introduction to optimization with interactive examples showing how changing dimensions affects the quantity being optimized.
-
Optimization Problems - Whitman College Calculus - Open-source section with diverse applied optimization problems and solutions emphasizing the modeling process.