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NumPy Mathematical Computing

NumPy Mathematical Computing—Solve Complex Problems at Lightning Speed!

4.5
Intermediate

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NumPy Mathematical Computing
4 Modules

Course Curriculum

4 Modules · 11 Chapters · 11 Topics · 84 Sub-topics

01
Foundation
3 Chapters · 3 Topics · 21 Sub-topics
Introduction to NumPy
1 Topics
NumPy Fundamentals
5 Sub-topics
What is NumPy and Why Use It
Installing NumPy
Importing NumPy
NumPy vs Python Lists
Understanding ndarray Object
NumPy Array Fundamentals
1 Topics
Array Basics
6 Sub-topics
Creating 1D Arrays
Creating 2D Arrays
Creating 3D Arrays
Array Attributes - shape, size, ndim
Array Attributes - dtype and itemsize
Checking Array Type
Array Creation Methods
1 Topics
Array Creation Techniques
10 Sub-topics
Creating Arrays with np.array()
Creating Arrays with np.zeros()
Creating Arrays with np.ones()
Creating Arrays with np.empty()
Creating Arrays with np.full()
Creating Identity Matrices - np.eye() and np.identity()
Creating Arrays with np.arange()
Creating Arrays with np.linspace()
Creating Arrays with np.logspace()
Creating Arrays from Existing Data
02
Mathematical Functions
3 Chapters · 3 Topics · 22 Sub-topics
Array Operations Part 1
1 Topics
Basic Array Operations
7 Sub-topics
Element-wise Addition
Element-wise Subtraction
Element-wise Multiplication
Element-wise Division
Floor Division and Modulo
Exponentiation
Square Root and Power Functions
Array Operations Part 2
1 Topics
Advanced Array Operations
5 Sub-topics
Comparison Operators
Logical Operations - AND, OR, NOT
Universal Functions (ufuncs) Overview
Unary ufuncs
Binary ufuncs
Mathematical Functions
1 Topics
NumPy Math Functions
10 Sub-topics
Trigonometric Functions - sin, cos, tan
Inverse Trigonometric Functions
Hyperbolic Functions
Rounding Functions - round, floor, ceil
Exponential and Logarithmic Functions
Absolute and Sign Functions
Minimum and Maximum Functions
Sum and Product Functions
Cumulative Sum and Product
Difference Function
03
Linear Algebra
2 Chapters · 2 Topics · 17 Sub-topics
Broadcasting
1 Topics
NumPy Broadcasting Mechanism
7 Sub-topics
Understanding Broadcasting Rules
Broadcasting with Scalars
Broadcasting 1D with 2D Arrays
Broadcasting Compatible Dimensions
Broadcasting Incompatible Arrays
Practical Broadcasting Examples
Broadcasting Best Practices
Linear Algebra with NumPy
1 Topics
Matrix Operations and Linear Algebra
10 Sub-topics
Matrix Multiplication - dot and matmul
Inner and Outer Products
Matrix Determinant
Matrix Inverse
Matrix Rank
Eigenvalues and Eigenvectors
Matrix Decomposition - SVD
Solving Linear Systems
Matrix Norms
Matrix Trace
04
Numerical Computing
3 Chapters · 3 Topics · 24 Sub-topics
Statistical Operations
1 Topics
Statistical Analysis with NumPy
8 Sub-topics
Mean, Median, and Mode
Standard Deviation and Variance
Percentiles and Quantiles
Correlation Coefficient
Covariance
Histogram Functions
Statistical Aggregations with Axis
Weighted Averages
Advanced Operations
1 Topics
Advanced NumPy Techniques
9 Sub-topics
Array Iteration - nditer
Custom Iteration Flags
Vectorization Techniques
Using np.vectorize()
Creating Custom ufuncs
Applying Functions - np.apply_along_axis()
Element-wise Conditionals - np.where() Advanced
Clipping Values - np.clip()
Replacing Values - np.nan_to_num()
Practical NumPy Applications
1 Topics
Real-world NumPy Usage
7 Sub-topics
Image Processing Basics
Signal Processing Operations
Time Series Analysis
Numerical Computing
Data Transformation Pipelines
Batch Processing
Scientific Computing Examples

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