Core Java syllabus that typically covers the fundamentals of the Java programming language:

1. Introduction to Java:

•    - History and features of Java
•    - JVM (Java Virtual Machine) and JDK (Java Development Kit)
•    - Setting up Java development environment

2. Variables, Data Types, and Operators:

•    - Variables and data types (primitive and non-primitive)
•    - Operators (arithmetic, relational, logical, assignment, etc.)
•    - Type conversion and casting

3. Control Flow:

•    - Conditional statements (if, if-else, switch)
•    - Looping statements (for, while, do-while)
•    - Control flow branching (break, continue)

4. Arrays and Strings:

•    - Declaring and initializing arrays
•    - Multidimensional arrays
•    - String manipulation and common methods

5. Object-Oriented Programming (OOP) Concepts:

•    - Classes, objects, and methods
•    - Encapsulation, inheritance, and polymorphism
•    - Constructors and method overloading
•    - Access modifiers (public, private, protected)

6. Exception Handling:

•    - Handling and throwing exceptions
•    - Try-catch-finally blocks
•    - Checked and unchecked exceptions

7. Packages and Interfaces:

•    - Creating and using packages
•    - Defining and implementing interfaces
•    - Using the "import" statement

8. Java Collections Framework:

•    - Introduction to collections (List, Set, Map)
•    - Working with ArrayList, LinkedList, HashSet, HashMap, etc.
•    - Iteration and manipulation of collections

9. File I/O:

•    - Reading from and writing to files
•    - Streams (byte streams and character streams)
•    - Exception handling in file I/O operations

10. Multithreading:

•     - Understanding threads and concurrency
•     - Creating and managing threads
•     - Synchronization and thread safety

11. Introduction to Java GUI:

•      AWT (Abstract Window Toolkit) and Swing
•     GUI components (buttons, labels, text fields, etc.)
•     Event handling and listeners

This is a basic outline of the core Java syllabus. Depending on the course or program, the depth and additional topics covered may vary. It's worth noting that Java is a versatile language with a vast ecosystem, so there are many advanced topics and libraries beyond the core syllabus that you can explore based on your interests and requirements.