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1.數學基礎理論與簡易實作
(18)
課堂1-1-1-數學的本質
課堂1-1-2-微分學
課堂1-1-3-偏微分極值應用
課堂1-1-4-最小均方差
課堂1-1-5-梯度
課堂1-1-6-梯度下降法
課堂1-2-1-機率密度函數
課堂1-2-2-線性迴歸~最小二平方法
課堂1-2-3-線性回歸~最大概似估計法
課堂1-2-4-相關分析
課堂1-2-5-條件機率
課堂1-2-6-貝氏定理
課堂1-3-1-Python安裝與入門指令
課堂1-3-2-Python之微積分指令
課堂1-3-3-Python之最小均方差與梯度下降演算法實作
課堂1-3-4-Python 之機率密度函數計算
課堂1-3-5-Python 之線性迴歸
課堂1-3-6-Python 之條件機率計算與Bayes 定理
2.類神經網路基礎理論與簡易實作
(14)
課堂2-1-1-生物神經元與MCP模型(P11)
課堂2-1-2-線性單層神經元模型(P12)
課堂2-1-3 Rosenblatt 感知器(Perceptrons)模型(P9)
課堂2-1-4 自適應線性神經元(Adaptive Linear Neurons)(P14)
課堂2-1-5 (MLP) 多層(雙層)神經網路之實作(P11)
課堂2-1-6 (MLP) 多層(雙層)神經網路的非線性激勵函數(P11)
課堂2-2-1 (BP)倒傳遞傳播網路BP(P11)(OK)
課堂2-2-2 (BP)反向傳播網路BP手算例(P10)
課堂2-2-3 Boltzmann Machine, BM(P12)
課堂2-2-4 Boltzmann 機之退火演算法(P12)
課堂2-2-5 (RBM)~Boltzmann 機器實作(P12)
課堂2-2-6 深度信賴網路之模型(P12)
課堂2-3-01 IRIS 分類之感知器與自組織感知器 Python 實作(P16)
課堂2-3-02 IRIS 分類之邏輯回歸與KNN Python 實作(P12)
3.深度學習基礎理論與簡易實作
(14)
課堂3-1-1 腦神經之影像辨識視覺皮層機制(P10)
課堂3-1-2 影像辨識與深度學習基本原理(P11)
課堂3-1-3 卷積神經網路CNN 之網路架構(P12)
課堂3-1-4 常用經典CNN 網路~LeNet(P10)
課堂3-1-5 常用經典CNN 網路~AlexNet(P9)
課堂3-1-6 常用經典CNN 網路~ResNet(P9)
課堂3-2-1 何謂生成網路(P12)
課堂3-2-2 自動編碼器(Auto-Encoder)(P12)
課堂3-2-3 何謂生成對抗網路GAN(P11)
課堂3-2-4 GAN 數學原理(P11)
課堂3-2-5 GAN 之經典模型(P11)
課堂3-2-6 GAN 的五個神奇應用場景(P12)
課堂3-3-01 MNIST 辨識之CNN Python 實作P(12)
課堂3-3-02 ADAS 自動駕駛輔助系統之實作(P16)
轉動力學的應用:陀螺儀的物理與程式實作
(3)
Lecture1_轉動力學基礎
Lecture2_陀螺之定性與定量介紹
Lecture3_python 程式視覺化陀螺之運動
電磁定律應用:震盪電路介紹
(2)
Lecture 1_電磁定律應用-電磁震盪電路
Lecture 2_交流驅動電磁震盪電路
微積分1
(30)
1.1 The Limit - Video-2021.08.30
1.2 Limit Laws-video-2021.09.03
1.3 The Squeeze Theorem-video-2021.09.07
1.4 The Precise Definition of a Limit
1.5 Continuity
1.6 The Intermediate Value Theorem
1.7 Limits at infinity
1.8 Derivatives
1.10 The Derivative as a Function
2.1 Derivatives of Polynomials
2.2 The Product Rule
2.2-1 The Product Rule
2.2-2 The Quotient Rule
2.3 Derivatives of Trigonometric Functions
2.4-1 The Chain Rule (1)
2.4-2 The Power Rule Combined with the Chain Rule (1)
2.5 Implicit Differentiation
2.6 Derivatives of Exponential Functions
2.7 Derivatives of Logarithmic Functions
2.8 Linear Approximations and Differentials
[More]
3.1 Maxima and Minima
3.2 The Mean Value Theorem
3.3 Derivatives and the Shape of a Graph
3.4 L’Hospital’s Rule
3.5 Optimization Problems
3.6 Newton’s Method
3.7 Antiderivatives
4.1 The Definite Integral
4.2 The Fundamental Theorem of Calculus
4.3 The Substitution Rule
微積分2
(30)
3.13 Differentiation and Integration of Power Series
3.12 Representations of Functions as Power Series
3.11-2 Power Series (Part 2)
3.11-1 Power Series (Part 1)
3.10-2 The Ratio and Root Test (Part 2)
3.10-1 The Ratio and Root Test (Part 1)
3.9 Alternating Series
3.8 The Comparison Test
3.7 Estimating the Sum of a Series
3.6 The Integral Test
3.5 The Test for Divergence
3.4 Introduction to Series
3.3 Squeeze Theorem for Sequences
3.2 Limits of Sequences
3.1 Introduction to Sequences
2.7-2 Improper Integration (Type 2)
2.7-1 Improper Integration (Type 1)
2.6 Approximate Integration
2.5 Rationalizing Substitutions
2.4-3 Integration of Rational Functions by Partial Fractions Case III-IV
[More]
2.4-2 Integration of Rational Functions by Partial Fractions Case II
2.4-1 Integration of Rational Functions by Partial Fractions Case I
2.3 Trigonometric Substitution
2.1-2 Integration by Parts (Practice Problems)
2.1-1 Integration by Parts
1.4 Areas between Curves
1.3-2 Substitution Rule (Practice Problems II)
1.3-1 Substitution Rule (Practice Problems l)
1.2 Indefinite Integrals
1.1 Areas and Distances
物理
(12)
Ch01 Measurements
Ch02 Motion in one dimension - I
Ch03 Motion in one dimension - II
Ch04 Motion in one dimension - III
Ch05 Motion in one dimension - IV
Ch06 Motion in two dimensions - I
Ch07 Motion in two dimensions – II
Ch08 Motion in two dimensions - III
Ch09 Laws of motions - I
Ch10 Laws of motions - II
Ch11 Work and energy - I
Ch12 Work and energy - II
化學
(12)
Lesson 12 Solving Equilibrium Problems
Lesson 11 Chemical Equilibrium
Lesson 10 Molecular Orbital
Lesson 09 Molecular Structure
Lesson 08 Resonance
Lesson 07 Lewis Structures
Lesson 06 Bonding
Lesson 05 Enthalpy and Calorimetry
Lesson 04 Thermochemistry
Lesson 03 Aufbau Principle and Periodic Table
Lesson 02 Chemical Equations
Lesson 01 Naming Simple Compounds
數學
(12)
L12 Differentiation and Integration
L11 Solving Equations
L10 Description on Figures
L9 Basic Logic
L8 Basic Operations
L7 Functions
L6 Sets and the Number System
L5 Guidance for Ignite Talks
L4 Speech and Voice Training
L3 Vocabulary and Phrases
L2 Guidelines for Math Discussion
L1 What is ESP?