Haskell Programming Syllabus

1: Introduction to Haskell

• Overview of Functional Programming
  • Comparison with Imperative Programming
  • Benefits of Functional Programming

2: Basic Syntax and Structure

• Haskell Syntax
• Haskell's Type System
• Basic Data Types (Int, Char, Bool, etc.)

3: Functions and Pattern Matching

• Defining Functions
  • Function Syntax
  • Function Application
• Pattern Matching
  • Basics of Pattern Matching
  • Using Pattern Matching in Function Definitions
  • Guards and Where Clauses

4: Lists and Tuples

• List Operations
  • Constructing Lists
  • Common List Functions (head, tail, length, map, filter)
• List Comprehensions
  • Syntax and Usage
• Tuples
  • Definition and Usage
  • Tuple Operations

5: Higher-Order Functions

• Understanding Higher-Order Functions
  • Functions as First-Class Citizens
  • Common Higher-Order Functions (map, filter, foldl, foldr)
• Function Composition
  • Composing Functions Using (.)

6: Type Classes

• Introduction to Type Classes
  • Defining and Using Type Classes
  • Common Type Classes (Eq, Ord, Show, Read)
• Creating Custom Type Classes

7: Algebraic Data Types (ADTs)

• Defining ADTs
  • Sum Types (Either, Maybe)
  • Product Types (Tuples, Custom Data Types)
• Recursive Data Types
  • Lists and Trees

8: Input/Output (IO)

• Understanding IO in Haskell
  • The IO Type
  • Basic IO Operations (print, getLine)
• Working with Files
  • Reading from and Writing to Files

9: Monads

• Introduction to Monads
  • Understanding Monads Through Maybe and List
  • The Monad Type Class
• The IO Monad
  • Using the IO Monad for Side Effects
• Monad Transformers (Optional)

10: Functors and Applicative Functors

• Understanding Functors
  • The Functor Type Class
  • Mapping Over Functors
• Applicative Functors
  • The Applicative Type Class
  • Using <*> and pure

11: Advanced Types

• Type Families and GADTs
  • Understanding and Using Type Families
  • Generalized Algebraic Data Types (GADTs)
• Data Kinds and Type-Level Programming (Optional)

12: Concurrency and Parallelism

• Concurrency in Haskell
  • Basic Concurrency Primitives (forkIO, MVar)
• Parallelism
  • Using Strategies for Parallel Computation
  • The Par Monad

13: Error Handling and Testing

• Error Handling
  • Using Either and Maybe for Error Handling
  • The Exception Type and Control.Exception Module
• Testing in Haskell
  • Unit Testing with HUnit
  • Property-Based Testing with QuickCheck

14: Libraries and Frameworks

• Introduction to Haskell Libraries
  • Exploring Common Libraries (text, bytestring, containers)
• Web Development
  • Introduction to Web Frameworks (Yesod, Scotty)
• Interfacing with Databases
  • Using Database Libraries (persistent, sqlite-simple)

15: Performance Optimization

• Profiling Haskell Programs
  • Tools and Techniques for Profiling
• Optimizing Performance
  • Understanding Space and Time Complexity
  • Common Optimization Techniques

16: Advanced Type System Features

• Generalized Algebraic Data Types (GADTs)
  • Introduction and Syntax
  • Use Cases and Examples
• Type Families
  • Associated Types
  • Closed and Open Type Families
• Data Kinds
  • Promoting Data Types to Kinds
  • Defining and Using Kind-Polymorphic Functions

17: Type-Level Programming

• Singletons and Dependent Types
  • Singleton Types and Promoting Values to Types
  • Using the Singletons Library
• Type-Level Computation
  • Type-Level Arithmetic
  • Type-Level Lists and Operations

18: Advanced Functional Patterns

• Lens Library
  • Understanding Lenses, Prisms, and Traversals
  • Practical Examples and Use Cases
• Zippers
  • Concept of Zippers and Their Applications
  • Implementing Zippers for Different Data Structures

19: Advanced Monads and Monad Transformers

• Monad Transformers
  • Understanding and Using Common Transformers (StateT, ReaderT, ExceptT)
  • Stacking Transformers and Managing Complexity
• Free Monads
  • Introduction to Free Monads
  • Building Interpreters and DSLs

20: Concurrency and Parallelism

• Advanced Concurrency Techniques
  • Software Transactional Memory (STM)
  • Asynchronous Programming with Async Library
• Parallelism
  • Strategies for Parallel Computation
  • Using the Parallel and Monad-Par Libraries

21: Profiling and Optimization

• Profiling Haskell Programs
  • Profiling Tools (GHC Profiler, ThreadScope)
  • Analyzing and Interpreting Profiling Results
• Optimization Techniques
  • Space and Time Complexity Analysis
  • Optimizing with Strictness and Laziness
  • Understanding and Avoiding Common Performance Pitfalls

22: Advanced IO and Interfacing with Other Languages

• Advanced IO Techniques
  • Working with Handles, Buffering, and Binary Data
  • Network Programming with Network Library
• Foreign Function Interface (FFI)
  • Calling C Functions from Haskell
  • Writing Haskell Functions Callable from C

23: Advanced Libraries and Frameworks

• Exploring Advanced Libraries
  • Aeson for JSON Parsing and Encoding
  • Conduit and Pipes for Streaming Data Processing
• Web Development
  • Deep Dive into Yesod or Servant for Building Web Applications
  • Authentication, Session Management, and RESTful APIs

24: Metaprogramming

• Template Haskell
  • Introduction to Template Haskell
  • Writing and Using Splices and Quasiquotes
• Generic Programming
  • Understanding and Using the Generics Module
  • Deriving Generic Instances

25: Error Handling and Advanced Testing

• Error Handling Patterns
  • Advanced Use of ExceptT, Either, and Maybe
  • Custom Error Types and Structured Error Handling
• Advanced Testing Techniques
  • Property-Based Testing with QuickCheck
  • Model-Based Testing and State Machine Testing
  • Benchmarking with Criterion

26: Domain-Specific Languages (DSLs)

• Designing DSLs
  • Embedded vs. External DSLs
  • Building a Simple DSL in Haskell
• Interpreting and Compiling DSLs
  • Writing Interpreters
  • Techniques for Compiling DSLs to Other Representations

27: Advanced Compiler Techniques

• Understanding GHC Internals
  • GHC Architecture and Compilation Process
  • Writing GHC Plugins
• Core Language and Optimizations
  • Working with GHC Core
  • Implementing Custom Optimizations

28: Advanced Topics in Category Theory

• Category Theory for Haskell Programmers
  • Monoidal Categories, Functors, and Natural Transformations
  • Adjunctions and Monads in Category Theory
• Applied Category Theory
  • Using Categories to Model and Solve Problems