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Advanced Counting: Examples
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Related lectures (21)
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Number Sequences: Guessing, Modeling, and Solving Recurrence Relations
Covers the identification of number sequences, modeling population growth, and solving recurrence relations.
Sequences: Induction Method
Covers sequences, induction method, Fibonacci, Bernoulli's inequality, and binomial formula.
Convex Functions
Covers the properties and operations of convex functions.
Implicit Functions Theorem
Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Applications of Theorems
Demonstrates the practical application of theorems in calculus through two clever examples.
Linear Independence: The Wronskian Concept
Explains the Wronskian and its role in determining linear independence of solutions to differential equations.
Linear Recurrences and Applications
Explores linear recurrences, applications between sets, and the significance of functions and operators in mathematics and physics.
Integral Techniques: Integration by Parts
Explores the integration by parts technique through examples, showcasing its step-by-step application to functions like cos(x) and sin(x.
Advanced Analysis II: Differential Equations and Timers
Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.
Implicit Functions Theorem
Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.