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EC
  • Introduction
  • EC Course
    • Syllabus
    • Preparation for EC
    • Tutorial
      • Tutorial: arduino-stm32
        • Tutorial: arduino-stm32 Installation
        • Tutorial: arduino-stm32 Part1
        • Tutorial: arduino-stm32 Part2
      • Tutorial: MDK uVision
        • Tutorial: Installing MDK uVision
        • Tutorial: Create a Project with uVision
        • Tutorial: Adding library header in uVision
        • Tutorial: Re-using Project Configuration
        • Debugging in uVision
      • Tutorial: PlatformIO in CLion
      • Tutorial: PlatformIO in VSCode
      • Tutorial: Repository Management
      • Tutorial: Managing library header files
      • Tutorial: PinName Configuration
      • Tutorial: Bitwise Macro
      • Tutorial: Custom initialization
      • Tutorial: Documentation
      • Tutorial: Creating Application API
      • Tutorial: 7-Segment Display
      • Tutorial: DC motor driver connection
      • Tutorial: USART with TeraTerm
      • Tutorial: Finite State Machine programming
      • Tutorial: Bluetooth
      • Tutorial: Zigbee with Nucleo board
    • LAB
      • LAB Report Template
      • LAB: Smart mini-fan with STM32-duino
      • LAB: Portable Fan with mbed
      • LAB: GPIO Digital InOut
      • LAB: GPIO Digital InOut 7-segment
      • LAB: EXTI & SysTick
      • LAB: Timer & PWM
      • LAB: Stepper Motor
      • LAB: Input Capture - Ultrasonic
      • LAB: USART - LED, Bluetooth
      • LAB: ADC - IR reflective sensor
      • LAB: Line Tracing RC Car
    • Sample code
      • Code Templates
    • Hardware
      • Nucleo-F411RE
      • LAB Hardware
        • Electronic Chips
        • HUINS Embedded Kit
    • Projects
      • Line Tracing Car Project
      • Design Project
        • Past Projects
      • Project Grading Criteria
    • Study Resource for MCU
      • Hexa-Decimal Table
      • Bitwise Op for Register
      • System Clock
      • Timer
      • USART
      • ADC
  • STM32 M4 Programming
    • Documentation
      • C++ API Docs
    • Firmware Library
      • PinName Configuration
      • GPIO Digital
      • RCC
      • EXTI_SysTick
      • TIMER
      • USART
    • Troubleshooting
    • mbed for STM32
      • Tutorial: mbed-Part 1
      • Tutorial: mbed - Part 2
      • Tutorial: mbed - Part 3
      • Using mbed API on uVision
    • mbed OS
  • Other Programming
    • Arduino
    • Socket Programming
      • Window Socket Programming
      • Arduino WiFi
    • Cube-MX
    • Github
    • Markdown
      • Example: API documentation
    • MATLAB
  • C Programming
    • C-Programming Lessons
      • Installing Visual Studio Community
        • Visual Studio Community 2022
      • Installing VS Code(Mac/Linux)
      • Creating Header Lib
      • Pointer
      • Array
      • 2D Array
      • Structure
      • Dynamic Alloc
      • Bitwise Operation
  • Numerical Programming
    • Syllabus
    • Preparation for NP
    • Math Review
    • Tutorial
      • TA Session Video
      • Tutorial: NP Library Header Files
      • Tutorial - Sine Taylor
      • Tutorial: Passing a Function, Function callback
      • Tutorial: Nonlinear solver
      • Tutorial: Differentiation
      • Tutorial: Integration
      • Tutorial: Matrix Structure
      • Tutorial: Eigenvalue problem
      • Tutorial: ODE-IVP
      • Tutorial: Curve Fitting
      • Tutorial: Create Github Repos of NP lib
      • Tutorial: Version Control in Github
      • Tutorial: Documentation with Markdown
      • Exercise: Version Control and Documentation
    • Example: MATLAB
    • Example: NP Library
    • Assignment
      • Assignment Factorial and Power
      • Assignment: Version Control and Documentation
    • Problem Bank
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On this page
  • Minimum Requirement of Mathematics
  • Calculus Roadmap
  • 1. CALCULUS BASICS
  • 2. CALCULUS- Differential Equation
  • Linear Algebra Roadmap
  • Regression/Interpolation
  • YouTube resources:

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  1. Numerical Programming

Math Review

PreviousPreparation for NPNextTutorial

Last updated 1 year ago

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Minimum Requirement of Mathematics

Please review the following topics before taking Numerical programming:

Also, please watch the Youtube lectures to understand the basic concepts for each topic.

Calculus Roadmap

1. CALCULUS BASICS

  • Functions

  • Derivatives

  • Maxima Minima

  • Product and Chain Rule Differentiation

  • Partial Derivatives

  • Higher-order derivatives

  • Integrals

  • Taylor’s Series

2. CALCULUS- Differential Equation

  • Ordinary Differential Equation - Initial Value Problem

  • Partial Differential Equation

Linear Algebra Roadmap

1. LINEAR EQUATIONS

  • Systems of Linear Equations

  • Gaussian Elimination

  • Echelon Form

  • Linear Combination

  • Span

  • Homogeneous Linear System

  • Linear Independence

  • Subspace

  • Basis

  • Affine space

  • Linear Transformation

2. VECTORS

  • Components of Vector

  • Vector Space

  • Norm of a vector

  • Lengths and distances

  • Euclidean Norm

  • Manhattan Norm

  • Minkowski Distance

  • Scalar Multiplication

  • Dot Product

  • Inner Product

  • Cross Product

  • Orthogonality

  • Orthonormal

  • Rotations

3. MATRIX

  • Matrix transformations

  • Matrix multiplication

  • Inverse Matrix

  • Transpose of a matrix

  • Rank of a matrix

  • Symmetric Matrix

  • Orthogonal Matrix

  • Singular Matrix

  • Determinant of a matrix

  • Trace of a Matrix

4. FACTORIZATION and EIGENVALUE/VECTOR‌

  • Matrix Decomposition

  • LU Decomposition

  • QR Decomposition

  • Cholesky Decomposition

  • Eigen Decomposition

  • EigenValues and Vectors

  • Singular Value Decomposition

Regression/Interpolation

  • Linear Regression

  • Interpolation

YouTube resources:

Credits to 3Blue1Brown, Khan Academy, StatQuest with Josh Starmer.

Watch by 3Blue1Brown

Essence of linear algebra
Roadmap of Mathematics for Machine LearningMedium
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