The State Board of Technical Education (SBTE), Bihar has introduced a new and updated syllabus for the Diploma in Mechanical Engineering.
The first semester focuses on building strong fundamentals in mathematics, science, communication, and drawing, along with an introduction to programming and practical learning.
This semester helps students develop logical thinking, problem-solving, and design understanding — essential skills for future engineers.
| Course Code | Course Title | PTA | ETA | Internal | Term Work External | PLA | ELA | Total Marks |
|---|---|---|---|---|---|---|---|---|
| 2400101 | Basic Engg. Mathematics | 30 | 70 | 20 | 30 | – | – | 150 |
| 2400102A | Applied Physics – A | 30 | 70 | 20 | 30 | 20 | 30 | 200 |
| 2418103 | Python Programming | 30 | 70 | 20 | 30 | 20 | 30 | 200 |
| 2400104 | Communication Skills (English) | 30 | 70 | 20 | 30 | 20 | 30 | 200 |
| 2425105 | Engineering Drawing | 30 | 70 | 20 | 30 | 20 | 30 | 200 |
| 2400006 | Environmental Education & Sustainable Development | 15 | – | 10 | – | 10 | 15 | 50 |
| Total | 165 | 350 | 110 | 150 | 90 | 135 | 1000 | |
| Term | Full Form | Meaning / Use |
|---|---|---|
| Course Code | – | Subject ka official identification number (example: 2400101). |
| Course Title | – | Subject ka naam (jaise Basic Engineering Mathematics). |
| PTA | Progressive Theory Assessment | Theory part ke internal test marks (class tests, assignments, viva). |
| ETA | End Theory Assessment | Final written exam ke marks (semester ke end me). |
| Internal | – | Attendance, homework aur class performance ke internal marks. |
| Term Work External | – | Assignments, records ya project work ke external evaluation marks. |
| PLA | Progressive Laboratory Assessment | Lab work ke internal marks (teacher dwara continuous assessment). |
| ELA | End Laboratory Assessment | Semester ke end me hone wale lab/practical exam ke external marks. |
| Total Marks | – | Har subject ke sabhi parts (internal + external) ka total. |
Basic Engineering Mathematics
| Unit No. | Unit Title | Topics to Study |
|---|---|---|
| 1 | Algebra |
Determinant: Concept and properties, solving equations in 3 unknowns using Cramer’s Rule. Matrices: Addition, subtraction, scalar & matrix multiplication, transpose, adjoint, inverse, solving equations by matrix inversion. Vectors: Position vector, addition, subtraction, scalar & vector product. |
| 2 | Differential Calculus |
Function and Limit: Concept, types, domain & range, limits, and continuity. Differentiation: First principle, algebraic, trigonometric, exponential, logarithmic functions; sum, product, quotient rule; chain rule; logarithmic, implicit & parametric differentiation. |
| 3 | Application of Differential Calculus | Successive differentiation (up to 2nd order), Rolle’s and Mean Value Theorem, rate of change of quantities, equation of tangent and normal, maxima & minima, radius of curvature. |
| 4 | Coordinate Geometry |
Coordinate Systems: Introduction. Straight Lines: Slope, angle between lines, point-slope, two-point, slope-intercept, intercept, normal & general forms, perpendicular distance. Conic Sections: Introduction, standard equations of circle, parabola, ellipse, hyperbola. |
| 5 | Probability & Statistics |
Probability: Concept, addition & multiplication theorems. Measure of Central Tendency: Mean, median, mode. Measure of Dispersion: Range, variance, standard deviation, coefficient of variation. |
Applied Physics
| Unit No. | Unit Title | Topics to Study |
|---|---|---|
| 1 | Unit and Measurements |
Physical quantities: Fundamentals and derived units, system of units. Accuracy, precision and errors: Systematic and random errors, methods of estimation of errors (absolute & relative), propagation of errors, significant figures. Dimensions and dimensional formulae: Principle of homogeneity of dimensions in an equation. Applications of dimensions: Conversion between systems of units, corrections of equations and derivation of simple relations. |
| 2 | Circular and Rotational Motion |
Circular motion: Angular displacement, angular velocity, frequency, time period, angular acceleration, relation between angular & linear velocity, linear acceleration & angular acceleration. Centripetal and centrifugal forces: Banking of roads and bending of cyclist. Translational and rotational motion: Torque and angular momentum, conservation of angular momentum and its applications. Moment of inertia: Physical significance, radius of gyration, theorem of parallel & perpendicular axes (statements only); moments of inertia of rod, ring, disc and sphere (hollow & solid). |
| 3 | Physical Properties of Matter and Heat |
Elasticity: Hooke's law, coefficient of elasticity, Young's modulus, bulk modulus and modulus of rigidity and their interrelations (no derivation). Stress-strain curve: Elastic and plastic behavior, yield point, ultimate stress, different types of stresses and strains. Surface tension & viscosity: Surface tension: intermolecular forces, cohesive & adhesive forces, surface energy, angle of contact, applications and capillarity. Viscosity: fluid, viscosity coefficient, Reynolds number, laminar and turbulent flow, Stokes' law and temperature dependence. Heat: Concept of heat & temperature, modes of heat transfer — conduction, convection, radiation; coefficient of thermal conductivity; thermal expansion of solids, liquids & gases; linear, surface & cubical expansion and relations among them. |
| 4 | Simple Harmonic Motion and Wave Motion |
Periodic & oscillatory motion: Definitions and basic terms. Simple Harmonic Motion (SHM): Displacement, amplitude, phase, velocity, acceleration, time period, frequency and their interrelation; conservation of energy in SHM; compound pendulum and derivation for bar pendulum (where required). Types of waves: Mechanical and electromagnetic waves, longitudinal & transverse waves, wave velocity, frequency and wavelength and their relationships; wave equation, amplitude, phase, phase difference, superposition principle, beats formation and examples. |
| 5 | Modern Physics |
Photoelectric effect: Photon concept, threshold frequency, work function, stopping potential, Einstein's photoelectric equation and applications. Lasers: Properties, energy levels, ionization & excitation potentials; spontaneous and stimulated emission; population inversion, pumping methods; types of lasers (Ruby, He-Ne etc.) and engineering/medical applications. Optical fibres: Total internal reflection, acceptance angle and numerical aperture, types of optical fibres and their applications. Nanotechnology: Properties (optical, magnetic, dielectric) of nanomaterials and their engineering applications. |
Python Programming
| Unit No. | Unit Title | Topics to Study |
|---|---|---|
| 1 | Basics of Python Programming Syntax |
Python character set: Python tokens, variables, concept of Lvalue and Rvalue, use of comments. Data types: Number (integer, float, complex), Boolean, sequence (string, list, tuple), none, mapping (dictionary), mutable and immutable data types. Operators: Arithmetic, relational, logical, assignment, augmented assignment, expressions, statements, type conversion, input/output, precedence of operators, evaluation of expressions. |
| 2 | Conditional and Iterative Statements |
Conditional statements: Simple if, if-else, if-elif-else statements. Iterative statements: While loop, for loop, range function, break and continue statements, nested loops. |
| 3 | String, List, Tuples, Set and Dictionary |
Strings: Indexing, slicing, concatenation, repetition, membership, traversing using loops, built-in string functions. Lists: Introduction, indexing, list operations, concatenation, repetition, slicing, traversal, built-in functions, linear search on lists, counting elements. Tuples: Creating, initializing, accessing elements, tuple assignment, performing tuple operations, built-in tuple functions, nested tuples. Sets: Creating, accessing, adding, removing data, performing set operations like join, union, intersection, difference. Dictionaries: Accessing items using keys, mutability, adding/removing items, modifying existing items, built-in dictionary functions. |
| 4 | Python Functions, Modules and Packages |
Functions: Built-in functions, user-defined functions, functions defined in module, creating functions, arguments & parameters, default and positional parameters, lambda functions, return values, scope of variables (global and local). Modules & Packages: Importing modules using import, Regular Expressions, Exception Handling, PyPI, Python Package Index, Pip package manager, importing libraries and functions.
|
| 5 | Object Oriented Programming (OOP) |
OOP concepts: Object-oriented approach, abstraction, encapsulation, class and object, class method vs static method, class and static variables, constructors and destructors. Inheritance: Types — single, multiple, multilevel, hierarchical; inheritance implementation in Python. Polymorphism: With class methods, inheritance, method overriding and overloading. |
| 6 | Exception and File Handling in Python |
Exception Handling: Syntax errors, need of exceptions, user-defined exceptions, raising exceptions, try-except-else-finally clauses, recovering and continuing, built-in exceptions. File Handling: Text and binary files, file types, open/close operations, reading/writing text and binary files, file access modes, append operations. |
Communication in English (Part-A)
| Unit No. | Unit Title | Topics to Study |
|---|---|---|
| 1 | Communication |
Concepts: Definition, role, relevance, and elements of communication (Context, Sender, Message, Channel, Receiver, Feedback). Process / Stages: Ideation, encoding, selecting proper channel, transmission, receiving, decoding, giving feedback. Principles (7Cs): Considerate, Correct, Concrete, Concise, Clear, Complete, Courteous communication. Barriers to Communication: Physiological, physical, psychological, mechanical, semantic/language, and cultural barriers — methods to overcome/minimize them. |
| 2 | Types of Communication |
Based on Organizational Structure: Formal (vertical, horizontal, diagonal), informal (grapevine). Based on Method of Expression: Verbal (oral & written) and non-verbal communication — kinesics, chronemics, proxemics, haptics, vocalics, artifacts, graphic & visual communication. Based on Number of People Involved: Intrapersonal, interpersonal, and group communication. |
| 3 | Reading Comprehension |
Objectives: Vocabulary enhancement, grammar exercises, comprehension improvement. Section-1 (Prose): Reading and interpretation of given passages with focus on grammar, vocabulary, and contextual meaning. |
| 4 | Vocabulary and Grammar |
Word Formation: Prefix, suffix, acronym. Vocabulary Skills: Synonyms, antonyms, homonyms, one-word substitution, idioms, and phrases. Technical Jargons: Related to respective branch/program. Grammar Topics: Parts of speech, tenses, transformation of sentences (voice, narration, question tag), punctuation. |
| 5 | Professional Writing |
Precis Writing: Summarizing given passages. Business Writing: Drafting letters and applications for official purposes. Email & Memo Writing: E-mails, notices, memos, circulars. Report Writing: Writing project/event/incident reports. |
Communication in Hindi (Part-B)
| Unit No. | Unit Title | Topics to Study |
|---|---|---|
| 1 | सम्प्रेषण सिद्धान्त एवं व्यवहार |
सम्प्रेषण: परिचय, अर्थ एवं परिभाषा। प्रक्रिया एवं तत्त्व: सम्प्रेषण की प्रक्रिया के विभिन्न चरण। प्रकार: औपचारिक एवं अनौपचारिक, भाषिक एवं अशाब्दिक सम्प्रेषण। सिद्धांत एवं व्यवहार: प्रभावशाली सम्प्रेषण के सिद्धांत एवं व्यावहारिक उपयोग। |
| 2 | व्यावसायिक उत्कृष्टता हेतु व्यवहार कौशल |
परिचय: तकनीकी कौशल एवं व्यवहार कौशल का महत्व। जीवन कौशल: आत्म जागरूकता, आत्म विश्लेषण। व्यक्तित्व विकास: भावनात्मक बुद्धिमत्ता, करुणा, अनुकूलनशीलता एवं लचीलापन। व्यवहार कौशल: व्यावसायिक वातावरण में उपयोग। |
| 3 | पाठ-बोध : शब्दावली परिवर्तन एवं व्याकरण अभ्यास |
गद्य एवं कविता अध्ययन: नमक का दरोगा – प्रेमचंद, बात (निबंध) – प्रताप नारायण मिश्र, रामधारी सिंह दिनकर की कविताएँ, मैथिलीशरण गुप्त, कबीर के दोहे आदि। शब्दावली: नए शब्दों का प्रयोग एवं अर्थ स्पष्ट करना। व्याकरण: शब्द रूप, मुहावरे, वाक्य संरचना का अभ्यास। |
| 4 | शब्दावली एवं व्याकरण |
शब्दावली: सामान्य, प्रशासकीय, तकनीकी शब्दावली। शब्द भेद: अनेक शब्दों के लिए एक शब्द। विराम चिन्ह एवं मुहावरे: सही प्रयोग एवं लेखन कौशल में अनुप्रयोग। |
| 5 | लेखन कौशल |
सार लेखन: गद्यांशों का संक्षेपण। पत्र लेखन: औपचारिक एवं व्यावसायिक पत्र, आवेदन, सूचना, विज्ञप्तियाँ। प्रपत्र लेखन: सूचना, निवेदन, जीवितवृत्त (बायोडाटा) लेखन। प्रतिवेदन लेखन: संस्थानिक आयोजनों का विवरण। |
Engineering Drawing
| Unit No. | Unit Title | Topics to Study |
|---|---|---|
| 1 | Basic Elements of Drawing |
Methods to use different drawing instruments and supporting materials. Different lines and conventions in engineering drawing. Engineering scales and applications (Reduced, enlarged & full size). Dimensioning techniques and applications of chain, parallel, and coordinate dimensioning as per SP-46. Geometric constructions related to line, angle, circle, and arc. Construct polygons — hexagon using tools, triangle/square/pentagon/hexagon/heptagon by general/special method. Engineering curves — ellipse, parabola, cycloid, involutes, and spiral. |
| 2 | Elements of Orthographic Projections |
Concept and applications of orthographic, perspective, isometric, and oblique projections. Projection planes — HP, VP, and auxiliary planes. Orthographic projection methods: first and third angle. Projection of point, line, and regular plane figure with different orientations in first angle. |
| 3 | Orthographic Projection of Un-Sectioned and Sectioned Solids |
Orthographic projection of solids with base resting on HP — prism (triangular, square, pentagonal), pyramid, cone, cube, cylinder, sphere. Projections when base or axis inclined to one/both planes. Section of solids (cube, cylinder, cone, etc.) — parallel, perpendicular, and inclined cutting planes. Conversion of simple pictorial views into orthographic views. |
| 4 | Isometric Projection |
Introduction to isometric projection, isometric view, and isometric scale. Methods of constructing isometric drawings. Illustrative problems involving rectangular, circular, cylindrical, and sloping plane surfaces. Conversion of orthographic views into isometric projections. |
| 5 | Development of Surfaces |
Concept and need of surface development. Development of lateral surfaces of prisms, pyramids, cylinders, and cones. Triangular prism, square prism (cube, cuboid), tetrahedron, and other pyramids. Development of composite solids. |
| 6 | Free Hand Sketches of Engineering Elements |
Materials and general guidelines for sketching. Sketching of lines, circles, arcs, and basic geometrical figures. Freehand orthographic and isometric sketches. Sketching of common engineering components — bolt, nut, washer, screw, and simple machine parts. |
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