DCET Syllabus 2025: Download Subject-wise Syllabus PDF Here

Unit 1

Matrices and Determinants

• Matrix and types
• Algebra of Matrices (addition, subtraction, scalar multiplication and multiplication)
• Evaluation of determinants of a square matrix of order 2 and 3. Singular matrices
• Cramer’s rule for solving a system of linear equations involving 2 and 3 variables
• Adjoint and Inverse of the non-singular matrices of Orders 2 and 3
• Characteristic equation and eigenvalues of a square matrix of order 2

4 

Unit 2

• Slope of a straight line
• Intercepts of a straight line
• Intercept form of a straight line
• Slope-intercept form of a straight line
• Slope-point form of a straight line
• Two-point form of a straight line
• General form of a straight line
• Angle between two lines and conditions for lines to be
• parallel and perpendicular
• Equation of a straight line parallel to the given line
• Equation of a straight line perpendicular to the given line

4

Unit 3

• Concept of angles, their measurement, Radian measure and related conversions.
• Signs of trigonometric ratios in different quadrants (ASTC rule)
• Trigonometric ratios of allied angles (definition and the table of trigonometric ratios of standard allied
  angles say 90⁰±Ɵ, 180⁰±Ɵ, 270⁰±Ɵ and 360⁰±Ɵ)
• Trigonometric ratios of compound angles (without proof)
• Trigonometric ratios of multiple angles
• Transformation formulae

4

Unit 4

• Derivatives of continuous functions in an interval (List of formulae)
• Rules of differentiation
• Successive differentiation (up to second order)
• Applications of differentiation

4

Unit 5 

• List of standard integrals and Basic rules of integration
• Evaluation of integrals of simple function and their combination
• Methods of integration
• Concept of definite integrals
• Applications of definite integrals

4

Total

20

• Definition of data and classification (qualitative, quantitative discrete and continuous data)
• Data collection tools

i) Questionnaires.

ii) Survey.

iii) Interviews.

iv) Focus group discussion

• Data cleaning

• Descriptive statistics

i) Data tabulation (Frequency table)

ii) Relative frequency table.

• Grouped data

i)Bar graph

ii) Pie chart

iii) Line graph

iv) Frequency polygon

v) Frequency curve

vi) Relative frequency polygon

vii) Histograms

viii) Box plot

• Leaf-stem plot

• Determination of central tendencies Range, Mean, Mode and Median for the data
• Determination of absolute measures of dispersion for data like range quartile deviation, mean deviation, standard deviation and variance.
• Skewness and kurtosis graphs

• Introduction to PYTHON.
• Syntax of PYTHON.
• Comments of PYTHON.
• Data types of PYTHON.
• Variables of PYTHON.
• If-else in PYTHON.
• Loops in PYTHON.
• Arrays and functions in PYTHON.

• Browser
• Web –Server
• Client-Server Model
• URL
• SEO techniques
• Domain names and domain name system.

• Introduction, Editors
• Tags, Attributes, Elements, Headings
• Links, Images, List, Tables, Forms
• Formatting, Layout, Iframes.

• Introduction to CSS
• Inline CSS, Internal CSS, Classes andIDs
• div, Color, Floating, Positioning
• Margins, Padding, Borders
• Fonts, Aligning Text, Styling Links

• Dynamic web page and Introductionto JS
• Basic syntax
• Functions
• Events

• Structure
• Types
• Functional Units

• Introduction
• Components
• Use and use cases

• History
• Evolution
• Uses of ERP

• IaaS (Infrastructure-as-a-Service)
• PaaS (Platform-as-a-Service)
• SaaS (Software-as-a-Service)

• Public,
• Private,
• Hybrid
• Community Cloud

• Google Drive - file storage and synchronization service developed by Google; 
• Google docs- bring your documents to life with smart editing and styling tools to help you easily format text and paragraphs;
• Google Co-lab (Usage of Jupyter Notebook):
• Colab notebooks allow you to combine executable code and rich text in a single document, along with images, HTML, LaTeX, and more.
• Google App Engine: Google App Engine is a Platform for a
• Service and cloud computing platform for developing and hosting web applications in Google-managed data centres.
• Applications are sandboxed and run across multiple servers.

• Smart home
• Smart city
• Smart farming

• Brief awareness on cyber safety measures
• Identification of basic security issues in mobile phones and personal computers
• Installation of Antivirus software
• Firewall concepts
• Browser settings
• Importance of privacy and Password policy (Best practices).

• Phishing
• DoS attack
• Man in the middle attack
• Eavesdropping
• Spamming

• Identify Various types of safety signs and what they mean
• Demonstrate and practice use of PPE
• Demonstrate how to free a person from electrocution
• Administer appropriate first aid to victims, bandaging, hear attack, CPR, etc.
• Fire safety, causes and precautionaryy activities.
• Use of appropriate fire extinguisherson different types of fires.
• Demonstrate rescue techniques applied during fire hazard, correctmethod to move injured people during emergency
• Inform relevant authority about any abnormal situation

• Ammeter
• Voltmeter
• Wattmeter
• Ohmmeter
• Digital Multimeter
• Megger
• Tong tester

• Relationship between V, I and
• R. (Ohms law)
• Behavior of V, I in Series and Parallel DC circuits.
• Describe open circuit, close circuit and short circuit
• Equation to find the effective Resistance connected in series
• Equation to find effective Resistancesconnected in parallel
• Resistances connected series andparallel combinations
• AC sine wave: Sinusoidal voltage, current, amplitude,time-period, cycle, frequency, phase, phase difference, and their units.
• Electrical work, power and powerfactor, SI units, mention the meters used to measure them.

• SI units
• Mention the meters used tomeasure them
• Single phase and Three phasesupply.

• Necessity of Protective Devices
• Various Protective devicesand their functions fuse wire,
• Glass cartridge fuse
• HRC fuse
• Kit-kat fuse
• MCB
• MCCB
• RCCB
• ELCB
• Relay
• Different types of electriciantools and their function.
• Describe various wiring tools.
• State procedure of care andmaintenance of wiring tools.

• Surface conduit
• concealed conduit
• PVC casing capping

• working principle
• Transformation ratio
• Types and applications withtheir ratings

• Single phase and three phaseInduction motor.
• Necessity of starters.
• Describe DOL AND STAR-DELTA starters.

• Types of batteries (Lead acidbattery, lithium, sealed maintenance free (SMF) battery,Modular battery).
• Selection criteria of batteries fordifferent applications.
• Ampere-Hour Capacity.
• Efficiency

•  List the types and applications
• Selection criteria of UPS
• Sizing of UPS

1.Compare Conductors, insulators and semiconductors with
 examples.
2. Identification of types and values of resistors-color codes.
3. PN junction diode
Symbol
Characteristics
Diode as switch.
Types of diodes and ratings
Applications
4. Rectifier
Need for AC to DC conversion
Bridge rectifier with and without C filter,
Rectifier IC.
5. Transistor (BJT)
Symbol
Structure
Working principle
Comparison of analog and digitalsignal
Digital systems, examples.
Binary numbers, Boolean identities and laws.
Digital system building blocks:Basic logic gates, symbols and truth tables.
IC-Definition and advantages.
6. Sensors
Concept
Types: Temperature, Pressure,Water, Light, Sound,
Smoke, proximity Sensors, Flow, humidity, voltage,
vibration, IR(Principle/working, ratings/ specifications,
cost, and applications)
7. Actuators
Concept
Types and applications.
Relay as an actuator
8. Microcontroller
As a programmable device and listof real-world applications.
PLC and Their applications.

• Meaning of Project
• Features of a Project
• Types of Projects
• Benefits of Project Management
• Obstacles in Project Management
• Project Management as a Profession
• Project Manager and His Role
• Project Consultants
• What is Operation?
• Difference between Project and Operation.
• What is “Process” in Project Management and Process Groups?
• What is Scope? Difference between Project Group Objectives and Project Scope.

• Project Team
• Project Design
• Work Breakdown Structure (WBS)
• Project Execution Plan (PEP)
• Contracting Plan
• Work Packing Plan
• Organisation Plan
• Systems and Procedure Plan
• Project Procedure Manual
• Project Diary
• Project Execution System
• Project Direction
• Communication in a Project
• Project Co-ordination
• Pre-requisites for Successful Project Implementation

• Phases of Project Life Cycle
• Project Management Life Cycle (General)
• Project Planning
• Project Execution
• Project Closure
• Project Risks
• Types of Risks: Illustrations
• Risk Assessment Techniques with Illustrations
• Project Cost Risk Analysis
• Estimating Time and Cost Overrun Risks
• Organization/Procedural/Systemic Reasons for Project Cost Overruns
• Time Overruns

• Nature of Project Planning
• Need for Project Planning
• Functions of Project Planning
• Steps in Project Planning
• Project Planning Structure
• Project Objectives and Policies
• Tools of Project Planning
• Project Scheduling
• Time Monitoring Efforts
• Bounding Schedules
• Scheduling to Match the Availability of Manpower
• Scheduling to Match Release of Funds
• Problems in Scheduling Real-life Projects
• Introduction
• Situation Analysis and Problem Definition
• Setting Goals and Objectives
• Generating Structures and Strategies
• Implementation
• What is Project Evaluation?
• Why is Project Evaluation Important?
• What are the Challenges in Monitoring and Evaluation?

• Projected Control Purposes
• Problems of Project Control
• Gantt Charts
• Milestone Charts
• Critical Path Method (CPM)
• Construction of a Network
• Network Technique in Project Scheduling
• Crashing Project Duration through Network
• Project Review
• Initial Review
• Post Audit
• Performance Evaluation
• Abandonment Analysis
• Objectives of Project Audit
• Functions of Project Auditor
• Project Audit Programme
• Difficulties in Establishing Audit Purpose and Scope
• Digital Technology Trends in Project management
• Cloud Technology, IoT, AR and VR applications
• Project management, Smart Cities

Name of the Exam

Karnataka Diploma Common Entrance Test

Commonly Known As

DCET

Exam Mode

Offline (Pen-and-Paper-Based Test)

Duration

3 Hours (Additional 25 minutes will be given to fill in the required details)

Type of questions

Objective Multiple Choice Question

Sections

• Applied Mathematics
• Applied Science 

Maximum Marks

100

Marking Scheme

One mark will be given for every correct answer. No negative marking.