Software Engineering
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Client Use of Templates, Vector Class, Vector Client Interface, Client Use of Vector, Type-safety in Templates, Grid Class, Grid Client Interface, Client Use of Grid, Stack Class, Stack Client Interface, Queue Class, Queue Client Interface, Client Use of Queue, Nested Templates, Learning a New API, CS106B Library Documentation
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Guest Lecturer: Sasha Rush, Haskell History, Safeguards in Haskell that Avoid Runtime Errors, Expressive Functions in Haskell, Speed of Haskell, Haskell Fibonacci Sequence in One Line Using Lazy Evaluation, How Lazy Evaluation Allows if Statements, Haskell Types, User-defined Data Types, Representing the Null Type in Haskell, List Types, Strings as Lists and Recursive Type Definitions, List Functions and Pattern Matching, Type Variables...more
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Wrapping Up Fourier Series; Making Sense Of Infinite Sums And Convergence, Integrability Of A Function (Implies Existence Of Fourier Coefficients, Convergence), Orthogonality Of Complex Exponentials (Review), The Inner Product, Norm Of F Related To The Inner Product (+ Pythagorean Theorem), Complex Exponentials As Orthonormal Functions, Fourier Coefficients As Projections Onto Complex Exponentials, Rayleigh's Identity, Application Of...more
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Integer Stack Implementation - Constructor and Destructor, Stackpush Implementation, Reallocation of Memory when Stack Grows Too Big Using Realloc, How Memory is Copied Using Realloc, Stackpop Implementation, Reimplementing the Stack Interface as a Generic Data Structure, Generic Implementation of StackNew, Generic Implentation of Stackpush Using Memcpy, Stackgrow Implementation, Static (Internal) Functions, Generic Stackpop...more
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Approaching The Higher Dimensional Fourier Transform, Notation: Thinking In Terms Of Vectors, Definition Of The Higher Dimensional Fourier Transform, Inverse Fourier Transform, Reciprocal Relationship Between Spatial And Frequency Domain, One Dimensional Case: Reciprocal Relationship, 2-D Case: Visualizing Higher Dimensional Complex Exponentials, Results: Visualizing 2-D Complex Exponentials
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Sequential Convex Programming, Methods For Nonconvex Optimization Problems, Sequential Convex Programming (SCP), Basic Idea Of SCP, Trust Region, Affine And Convex Approximations Via Taylor Expansions, Particle Method, Fitting Affine Or Quadratic Functions To Data, Quasi-Linearization, Example (Nonconvex QP), Lower Bound Via Lagrange Dual, Exact Penalty Formulation, Trust Region Update, Nonlinear Optimal Control, Discretization, SCP...more
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Periodicity; How Sine And Cosine Can Be Used To Model More Complex Functions, Example Of Periodizing A Signal, Discussion Of How To Model Signals With Sinusoids, "One Period, Many Frequencies" Idea In Modeling Signals, Modeling A Signal As The Sum Of Modified Sinusoids (Formula), Complex Exponential Notation, Symmetry Property Of The Complex Coefficients In The Fourier Series, Discussion Of The Generality Of The Fourier Series...more
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Introduction to Lecture's material - Searching, Sorting and Algorithmic Efficiency, Searching, Linear Search, Efficiency of Linear Search, Binary Search, Efficiency of Binary Search, Comparing Search Efficiencies, Sorting, The Selection Sort Algorithm, Efficiency of Selection Sort, The Radix Sort Algorithm
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Review Of Last Lecture: Discrete V. Continuous Linear Systems, Cascading Linear Systems, Derivation Of The Impulse Response, Schwarz Kernel Theorem, Example: Impulse Response For Fourier Transform, Example: Switch, Special Case: Convolution, Time Invariance, Result: If A System Is Given By Convolution, It Is Time Invariant; Converse True As Well, Two Main Ideas Sumarized (Linear->Integration Against Kernel, Time Invariant If Given By Convolution)
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More On Results From Last Lecture (Diffraction Patterns And The Fourier Transforms)
Stanford / Mathematics
More On Results From Last Lecture (Diffraction Patterns And The Fourier Transforms), Setup For Crystallography Discussion (History, Concepts), 1-Dimensional Version, The Fourier Transform Of The Shah Function, Trick: Poisson Summation Formula, Proof Of The Poisson Summation Formula, Fourier Transform Of The Shah Function: Result, Fourier Transform Of The Shah Function With Spacing P, Application To Crystals
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Model Predictive Control, Linear Time-Invariant Convex Optimal Control, Greedy Control, 'Solution' Via Dynamic Programming, Linear Quadratic Regulator, Finite Horizon Approximation, Cost Versus Horizon, Trajectories, Model Predictive Control (MPC), MPC Performance Versus Horizon, MPC Trajectories, Variations On MPC, Explicit MPC, MPC Problem Structure, Fast MPC, Supply Chain Management, Constraints And Objective, MPC And Optimal...more
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Converting Between Types of Different Sizes and Bit Representations Using Pointers
Stanford / Computer Science
Converting Between Types of Different Sizes and Bit Representations Using Pointers, Little Endian vs. Big Endian, Structs: How the Data of a Struct is Stored, Accessing the Data of a Struct, Arrays, Pointer Arithmetic on Arrays, Result of Casting Arrays to Different Types, Layout in Memory of Structs, Dynamically Allocated Strings in C vs. Arrays of Characters, Modifying Internal Data of Structs Using strcpy, Character Arrays and cout,...more
