Determinants: Definition, Minors, Cofactors, Properties of Determinants. Matrices: Definition, Types of Matrices, Addition, Subtraction, Scalar Multiplication, and Multiplication of Matrices, Adjoint, Inverse, Cramer's Rule, Rank of Matrix, Dependence of Vectors, Eigen Vectors of a Matrix, Cayley-Hamilton Theorem (without proof).

Limits and Continuity: Limit at a Point, Properties of Limit, Computation of Limits of Various Types of Functions, Continuity at a Point, Continuity Over an Interval, Intermediate Value Theorem, Type of Discontinuities.

Differentiation: Derivative, Derivatives of Sum, Differences, Product & Quotients, Chain Rule, Derivatives of Composite Functions, Logarithmic Differentiation, Rolle’s Theorem, Mean Value Theorem, Expansion of Functions (Maclaurin’s & Taylor’s), Indeterminate Forms, L’Hopital's Rule, Maxima & Minima, Curve Tracing, Successive Differentiation & Leibniz Theorem.

Integration: Integral as Limit of Sum, Fundamental Theorem of Calculus (without proof), Indefinite Integrals, Methods of Integration: Substitution, By Parts, Partial Fractions, Reduction Formulae for Trigonometric Functions, Gamma and Beta Functions (definition).

Vector Algebra: Definition of a Vector in 2 and 3 Dimensions, Double and Triple Scalar and Vector Product, Physical Interpretation of Area and Volume.

Introduction to ‘C’ Language: History, Structures of ‘C’ Programming, Function as building blocks. Language Fundamentals: Character set, C Tokens, Keywords, Identifiers, Variables, Constants, Data Types, Comments.

Operators: Types of operators, Precedence and Associativity, Expression, Statement and types of statements. Build-in Operators and Functions: Console-based I/O and related built-in I/O functions like printf(), scanf(), getch(), getchar(), putchar(); Concept of header files, Preprocessor directives: #include, #define.

Control Structures: Decision making structures: If, If-else, Nested If-else, Switch. Loop Control Structures: While, Do-while, for, Nested for loop. Other Statements: break, continue, goto, exit.

Introduction to Problem Solving: Concept: Problem solving, Problem-solving techniques (Trial & Error, Brainstorming, Divide & Conquer). Steps in Problem Solving: Define Problem, Analyze Problem, Explore Solution. Algorithms and Flowcharts: Definitions, Symbols, Characteristics of an algorithm. Conditionals in pseudo-code, Loops in pseudo-code, Time complexity: Big-Oh notation, efficiency. Simple Examples: Algorithms and Flowcharts (Real Life Examples).

Simple Arithmetic Problems: Addition/Multiplication of integers, Determining if a number is +ve/-ve/even/odd, Maximum of 2 numbers, 3 numbers, Sum of first n numbers, given n numbers, Integer division, Digit reversing, Table generation for n, ab, Factorial, Sine series, Cosine series, nCr, Pascal Triangle, Prime number, Factors of a number, Other problems such as Perfect number, GCD numbers, etc. (Write algorithms and draw flowcharts), Swapping.

Functions: Basic types of functions, Declaration and definition, Function call, Types of functions, Parameter passing, Call by value, Call by reference, Scope of variable, Storage classes, Recursion.

Introduction to Computers: Introduction, Characteristics of Computers, Block diagram of computer. Types of computers and features: Mini Computers, Micro Computers, Mainframe Computers, Super Computers. Types of Programming Languages: Machine Languages, Assembly Languages, High-Level Languages. Data Organization: Drives, Files, Directories. Types of Memory: Primary and Secondary (RAM, ROM, PROM, EPROM). Secondary Storage Devices: FD, CD, HD, Pen drive. I/O Devices: Scanners, Plotters, LCD, Plasma Display. Number Systems: Introduction to Binary, Octal, Hexadecimal systems, Conversion, Simple Addition, Subtraction, Multiplication.

Algorithm and Flowcharts: Algorithm - Definition, Characteristics, Advantages and disadvantages, Examples. Flowchart - Definition, Define symbols of flowchart, Advantages and disadvantages, Examples.

Operating System and Services in O.S.: DOS – History, Files and Directories, Internal and External Commands, Batch Files. Types of O.S.

Windows Operating Environment: Features of MS – Windows, Control Panel, Taskbar, Desktop, Windows Application, Icons, Windows Accessories, Notepad, Paintbrush.

Editors and Word Processors: Basic Concepts, Examples: MS-Word, Introduction to desktop publishing.

Spreadsheets and Database Packages: Purpose, usage, command, MS-Excel, Creation of files in MS-Access, Switching between applications, MS-PowerPoint.

Nature of Management: Meaning, Definition, its nature, purpose, importance & functions. Management as Art, Science & Profession. Management as a Social System. Concepts of Management: Administration, Organization, Management Skills, Levels of Management.

Evolution of Management Thought: Contribution of F.W. Taylor, Henri Fayol, Elton Mayo, Chester Barnard & Peter Drucker to the management thought. Business Ethics & Social Responsibility: Concept, Shift to Ethics, Tools of Ethics.

Functions of Management: Part-I: Planning – Meaning, Need & Importance, Types, Process of Planning, Barriers to Effective Planning, Levels, Advantages & Limitations. Forecasting – Need & Techniques. Decision making – Types, Process of Rational Decision-making, & Techniques of Decision-making. Organizing – Elements of Organizing & Processes, Types of Organizations. Delegation of Authority – Need, Difficulties in Delegation, Decentralization. Staffing – Meaning & Importance. Direction – Nature, Principles. Communication – Types & Importance.

Functions of Management: Part-II: Motivation – Importance, Theories. Leadership – Meaning, Styles, Qualities & Function of a Leader. Controlling – Need, Nature, Importance, Process & Techniques. Total Quality Management. Coordination – Need, Importance.

Management of Change: Models for Change, Force for Change, Need for Change, Alternative Change Techniques, New Trends in Organizational Change, Stress Management.

Strategic Management: Definition, Classes of Decisions, Levels of Decision, Strategy, Role of Different Strategists, Relevance of Strategic Management and its Benefits, Strategic Management in India.

Means of Communication: Meaning and Definition, Process, Functions, Objectives, Importance, Essentials of good communication, Communication barriers, 7C’s of Communication.

Types of Communication: Oral Communication: Meaning, Nature and Scope, Principles of effective oral communication, Techniques of effective speech, Media of oral communication (Face-to-face conversation, Teleconferences, Press Conference, Demonstration, Radio Recording, Dictaphone, Meetings, Rumour, Demonstration and Dramatisation, Public address system, Grapevine, Group Discussion, Oral report, Closed circuit TV). The art of listening, Principles of good listening.

Written Communication: Purpose of writing, Clarity in Writing, Principles of Effective Writing, Writing Techniques, Electronic Writing Process.

Business Letters & Reports: Need and Functions of Business Letters, Planning & Layout of Business Letters, Kinds of Business Letters, Essentials of Effective Correspondence. Purpose, Kind and Objective of Reports, Writing Reports.

Drafting of Business Letters: Enquiries and Replies, Placing and Fulfilling Orders, Complaints and Follow-up, Sales Letters, Circular Letters, Application for Employment and Resume.

Information Technology for Communication: Word Processor, Telex, Facsimile (Fax), E-mail, Voice Mail, Internet, Multimedia, Teleconferencing, Mobile Phone Conversation, Video Conferencing, SMS, Telephone Answering Machine, Advantages and Limitations of these types.