ADVITIYA ACADEMY OF LEARNING

From Diploma to Degree. Unparalleled.
DCET 2027

πŸ“• COMPLETE DCET FORMULA BOOKLET

All 5 Subjects β€” Every Formula, Shortcut & Memory Hack You Need | 100 Marks Coverage

πŸ“‹ Table of Contents

1. Engineering Mathematics20 Marks
2. Statistics & Analytics20 Marks
3. IT Skills20 Marks
4. FEEE (Electrical & Electronics)20 Marks
5. Project Management Skills20 Marks
πŸ“ 1. Engineering Mathematics 20 MARKS
I. Matrices & Determinants (4 Marks)
β–Έ
Determinant (2Γ—2): |A| = ad βˆ’ bc for A = [[a,b],[c,d]]
β–Έ
Cramer's Rule (2 var): x = Dx/D, y = Dy/D where D = coefficient determinant
β–Έ
Adjoint (2Γ—2): adj(A) = [[d,βˆ’b],[βˆ’c,a]] (swap diagonal, negate off-diagonal)
β–Έ
Inverse: A⁻¹ = adj(A) / |A| (exists only if |A| β‰  0)
β–Έ
Singular Matrix: |A| = 0 β†’ No inverse exists
β–Έ
Characteristic Equation (2Γ—2): λ² βˆ’ (trace)Ξ» + |A| = 0
⚑ Hack: Eigenvalue sum = trace (diagonal sum), Eigenvalue product = |A|
II. Straight Lines (4 Marks)
β–Έ
Slope: m = (yβ‚‚ βˆ’ y₁) / (xβ‚‚ βˆ’ x₁)
β–Έ
Slope-Intercept: y = mx + c
β–Έ
Two-Point Form: (yβˆ’y₁)/(yβ‚‚βˆ’y₁) = (xβˆ’x₁)/(xβ‚‚βˆ’x₁)
β–Έ
Intercept Form: x/a + y/b = 1
β–Έ
Parallel Lines: m₁ = mβ‚‚  |  Perpendicular Lines: m₁ Γ— mβ‚‚ = βˆ’1
β–Έ
Angle between lines: tan ΞΈ = |m₁ βˆ’ mβ‚‚| / (1 + m₁mβ‚‚)
III. Trigonometry (4 Marks)
β–Έ
Radian ↔ Degree: Ο€ rad = 180Β° β†’ multiply by Ο€/180 or 180/Ο€
β–Έ
ASTC Rule: All (I), Sin (II), Tan (III), Cos (IV) β†’ which ratio is positive in each quadrant
β–Έ
Compound Angles: sin(AΒ±B) = sinAΒ·cosB Β± cosAΒ·sinB   cos(AΒ±B) = cosAΒ·cosB βˆ“ sinAΒ·sinB
β–Έ
Double Angle: sin2A = 2sinAΒ·cosA   cos2A = cosΒ²A βˆ’ sinΒ²A
⚑ Hack (ASTC): "All Students Take Coffee" β€” remember which trig ratio is positive in Q1β†’Q4!
IV. Differential Calculus (4 Marks)
β–Έ
Power Rule: d/dx (xⁿ) = n·xⁿ⁻¹
β–Έ
Product Rule: d/dx(uv) = uΒ·v' + vΒ·u'
β–Έ
Quotient Rule: d/dx(u/v) = (vΒ·u' βˆ’ uΒ·v') / vΒ²
β–Έ
Chain Rule: d/dx f(g(x)) = f'(g(x))Β·g'(x)
β–Έ
Key: d/dx(sinx)=cosx, d/dx(cosx)=βˆ’sinx, d/dx(eΛ£)=eΛ£, d/dx(ln x)=1/x
β–Έ
Maxima/Minima: Set f'(x) = 0, then check f''(x): if <0 β†’ maxima, if >0 β†’ minima
V. Integral Calculus (4 Marks)
β–Έ
Power Rule: ∫xⁿ dx = xⁿ⁺¹/(n+1) + C (n β‰  βˆ’1)
β–Έ
Key Integrals: ∫sinx dx = βˆ’cosx + C, ∫cosx dx = sinx + C, ∫eΛ£ dx = eΛ£ + C, ∫1/x dx = ln|x| + C
β–Έ
Definite Integral: βˆ«β‚α΅‡ f(x) dx = F(b) βˆ’ F(a)
β–Έ
Area under curve: A = βˆ«β‚α΅‡ y dx
πŸ“Š 2. Statistics & Analytics 20 MARKS
I. Data Collection & Types (3 Marks)
Qualitative Data

Categories: Gender, Color, Yes/No (non-numeric)

Quantitative Data

Numeric: Discrete (countable) or Continuous (measurable)

Primary Data

Collected firsthand: Surveys, Interviews, Focus Groups

Secondary Data

Already exists: Books, Journals, Databases, Reports

II. Data Summarization & Visualization (6 Marks)
β–Έ
Frequency Table: Tally marks β†’ Class intervals β†’ Frequency count
β–Έ
Relative Frequency: RF = f / Ξ£f (each class freq Γ· total)
β–Έ
Chart Types: Bar (comparison) | Pie (proportion) | Line (trend) | Histogram (continuous) | Box Plot (spread)
⚑ Hack: Histogram has NO GAPS between bars (continuous data). Bar graph has GAPS (discrete categories)!
III. Measures of Location & Dispersion (5 Marks)
β–Έ
Mean: xΜ„ = Ξ£x / n
β–Έ
Median: Middle value (arrange in ascending order first!)
β–Έ
Mode: Most repeated value | Empirical: Mode = 3(Median) βˆ’ 2(Mean)
β–Έ
Range: R = Max βˆ’ Min
β–Έ
Variance: σ² = Ξ£(x βˆ’ xΜ„)Β² / n  |  SD: Οƒ = √(σ²)
β–Έ
Quartile Deviation: QD = (Q3 βˆ’ Q1) / 2
⚑ Hack: All identical values? SD = 0, Variance = 0. No calculation needed!
IV. Introduction to Python (6 Marks)
Data Types

int, float, str, bool, list, tuple, dict, set

If-Else

if condition: ... elif: ... else: ...

Loops

for i in range(n): ... | while condition: ...

Functions

def func_name(params): ... return value

πŸ’» 3. IT Skills 20 MARKS
I. Basics of Coding (4 Marks)
β–Έ
Algorithm: Step-by-step procedure to solve a problem
β–Έ
Flowchart Symbols: Oval (Start/End) | Rectangle (Process) | Diamond (Decision) | Parallelogram (I/O)
II. Web Development (4 Marks)
β–Έ
HTML5 Tags: <h1-h6>, <p>, <a href>, <img src>, <table>, <form>, <div>, <ul>/<ol>
β–Έ
CSS3 Types: Inline (style="") | Internal (<style>) | External (.css file)
β–Έ
JavaScript: Variables (var/let/const), Functions, Events (onclick, onload)
⚑ Hack: CSS priority: Inline > Internal > External. "Closer to element = Higher priority"
III. ERP & Business Process Automation (4 Marks)
β–Έ
ERP: Integrates all business functions (HR, Finance, Sales, Inventory) into ONE system
β–Έ
Workflow Components: Trigger β†’ Task β†’ Decision β†’ Action β†’ Notification
IV. Cloud & IoT (4 Marks)
Cloud Models

IaaS (infra) | PaaS (platform) | SaaS (software)

Cloud Types

Public | Private | Hybrid | Community

IoT Components

Sensors β†’ Connectivity β†’ Data Processing β†’ UI

IoT Examples

Smart Home, Smart City, Smart Farming

⚑ Hack (Cloud): "Pizza as a Service" β€” IaaS = buy ingredients, PaaS = use oven, SaaS = order pizza!
V. Cyber Security (4 Marks)
Phishing

Fake emails/links to steal credentials

DoS Attack

Overwhelm server with requests β†’ crash

Man-in-the-Middle

Intercept communication between two parties

Firewall

Monitors & filters incoming/outgoing network traffic

⚑ 4. Fundamentals of Electrical & Electronics (FEEE) 20 MARKS
I. Electrical Safety (2 Marks)
β–Έ
Earthing Types: Plate Earthing, Pipe Earthing, Rod Earthing
β–Έ
Safety Signs: Prohibition (Red/Circle) | Warning (Yellow/Triangle) | Mandatory (Blue/Circle) | Safe (Green/Square)
II. Electrical Fundamentals (5 Marks)
β–Έ
Ohm's Law: V = I Γ— R  |  I = V/R  |  R = V/I
β–Έ
Series Resistance: R_total = R₁ + Rβ‚‚ + R₃...
β–Έ
Parallel Resistance: 1/R_total = 1/R₁ + 1/Rβ‚‚ + 1/R₃...
β–Έ
Power: P = V Γ— I = IΒ²R = VΒ²/R (Watts)
β–Έ
Energy: E = P Γ— t (kWh = Units) | 1 Unit = 1000W Γ— 1hr
β–Έ
Power Factor: PF = cos Ο† = Real Power / Apparent Power
⚑ Hack (Series vs Parallel): Series = "Same Current, Different Voltage" | Parallel = "Same Voltage, Different Current"
III. Protective Devices (3 Marks)
β–Έ
Fuse: Weakest link, melts on overload | MCB: Automatic reset, trips on overload/short circuit
β–Έ
RCCB: Protects against earth leakage | ELCB: Earth leakage circuit breaker
IV. Machines, Batteries & UPS (5 Marks)
β–Έ
Transformer Ratio: V₁/Vβ‚‚ = N₁/Nβ‚‚ = Iβ‚‚/I₁ (Turn ratio = Voltage ratio)
β–Έ
Step-Up: Nβ‚‚ > N₁ (increases voltage) | Step-Down: Nβ‚‚ < N₁ (decreases voltage)
β–Έ
Battery Capacity: Ah (Ampere-Hour) = Current Γ— Time | Efficiency = Output/Input Γ— 100%
V. Electronics & Digital (5 Marks)
β–Έ
PN Junction Diode: Forward bias β†’ conducts | Reverse bias β†’ blocks
β–Έ
Resistor Color Code: BBROY GBV GS W β†’ 0-9
Logic Gates (Truth Tables)

AND: both 1β†’1 | OR: any 1β†’1 | NOT: inverts | NAND/NOR: universal gates

Boolean Laws

A+0=A | AΒ·1=A | A+A'=1 | AΒ·A'=0 | De Morgan's

⚑ Hack (Color Code): "BB ROY of Great Britain had Very Good Wife" = Black Brown Red Orange Yellow Green Blue Violet Grey White
πŸ“‹ 5. Project Management Skills (PMS) 20 MARKS β€” EASIEST!
I. Introduction to Project Management (4 Marks)
β–Έ
Project: Temporary, unique, has defined start/end, specific objective
β–Έ
Project vs Operations: Project = Temporary & Unique | Operations = Ongoing & Repetitive
β–Έ
5 Process Groups: Initiating β†’ Planning β†’ Executing β†’ Monitoring & Controlling β†’ Closing
⚑ Hack: "I Plan Every Monday Carefully" = Initiating, Planning, Executing, Monitoring, Closing
II. Project Administration (4 Marks)
β–Έ
WBS: Work Breakdown Structure β€” hierarchical decomposition of project into smaller tasks
β–Έ
PEP: Project Execution Plan β€” roadmap for how project will be executed, monitored & controlled
III. Project Life Cycle (4 Marks)
β–Έ
4 Phases: Planning β†’ Execution β†’ Monitoring β†’ Closure
β–Έ
Risk Types: Technical, Financial, Schedule, Resource, External
β–Έ
Risk Assessment: Identify β†’ Analyze β†’ Prioritize β†’ Mitigate β†’ Monitor
IV. Planning & Scheduling (4 Marks)
β–Έ
Gantt Chart: Horizontal bar chart showing tasks vs time (visual project schedule)
β–Έ
Milestone Chart: Key events/deliverables marked on a timeline
V. CPM, Review & Audit (4 Marks)
β–Έ
CPM: Critical Path Method β€” longest path through network = minimum project duration
β–Έ
Critical Path: Zero float β†’ any delay pushes project deadline
β–Έ
Crashing: Add resources to critical activities to reduce project duration (increases cost)
β–Έ
Project Audit: Independent review of project performance, compliance, and lessons learned
⚑ Hack: PMS is 100% theory + conceptual. Read concepts twice, attempt 20+ MCQs = guaranteed 15+/20 marks!

πŸš€ Master All Formulas with Advitiya's DCET 2027 Batch!

30+ Mock Tests | 5-Second Memory Hacks | Live Doubt Solving | Kanglish Teaching

πŸ“² Book FREE Demo Class
πŸ“ž +91 8971755960  |  🌐 adwitiyaacademyoflearning.com  |  πŸ“ Vijayanagar, Bengaluru