4-YEAR DIPLOMA-IN-ENGINEERING (COMPUTER TECHNOLOGY)PROGRAM SYLLABUS FIRST SEMESTER

4-YEAR DIPLOMA-IN-ENGINEERING (COMPUTER TECHNOLOGY)PROGRAM SYLLABUS FIRST SEMESTER

                                              4-YEAR DIPLOMA-IN-ENGINEERING PROGRAM SYLLABUS

(PROBIDHAN-2016)

COMPUTER TECHNOLOGY CODE: 66

FIRST SEMESTER

Sl. No	Subject code	Name of the subject	T  P C			MARKS				TOTAL MARKS
						Theory		Practical
						Cont. assess	Final exam	Cont. assess	Final exam
1	66611	Computer Application	0	6	2	-	-	50	50	100
2	66612	Computer Workshop Practice	2	2	3	-	-	50	50	100
3	66612	Electrical Engineering Fundamentals	3	3	4	60	90	25	25	200
4	65911	Mathematics‐I	3	3	4	60	90	50	-	200
5	66612	Physics‐I	3	3	4	40	90	25	25	200
6	66612	English	2	0	3	60	60	-	-	100
7	65911	Bangla	3	3	4	60	90	50	-	200
Total			14	24	22	280	420	250	150	1100

COMPUTER APPLICATION OBJECTIVES 

DETAIL DESCRIPTION

1. Operate a personal Computer

1.1 Start up a Computer

1.1.1 Peripherals are checked and connected with system unit

1.1.2 Power cords / adapter are connected properly with computer and power outlets socket

1.1.3 Computer is switched on gently.

1.1.4 PC desktop / GUI settings are arranged and customized as per requirement.

1.2 Operate Computer

1.2.1 Files and folders are created.

1.2.2 Files and folders are manipulated as per requirement.

1.2.3 Properties of files and folders are viewed and searched.

1.2.4 Control panel settings are practiced.

1.2.5 Memory devices are formatted as per requirement.

1.3 Shutdown computer

1.3.1 unsaved file and folders are closed

1.3.2 Open software is closed and hardware devices are switched off.

1.3.3 Computer is switched off gently.

1.3.4 Power at the respective power outlets is switched off.

2. Type text and documents in English and Bangla.

2.1 Install the Typing Tutor software

2.1.1 Required Hardware and software are ready to use.

2.1.2 Typing tutor software are collected and selected

2.1.3 English Typing tutor software is installed.

2.1.4 Specialized Bangla Typing tutor software is installed.

2.2 Practice text typing in English and Bangla

2.2.1 Typing tutor software is started. 

2.2.2 English Home key drilling are practiced systematically

2.2.3 Intermediate level typing speed(25 cps) are achieved. 

2.2.4 Specialized Bangla  Typing tutor / software are installed.

2.2.5 Bangla Home key typing are practiced systematically

2.2.6 Text documents are typed repeatedly for increasing typing speed.

2.3 Type documents

2.3.1 Word processor is started.

2.3.2 Text document are typed. 

2.3.3 Intermediate level typing speed (30 cps) in English and ( 20 cps) in Bangla  are achieved

3. Operate Word Processing Application 3.1 Create documents:

3.1.1 Word‐processing application are opened. 

3.1.2 Documents  are created.

3.1.3 Data  are added according to information requirements.

3.1.4 Document templates Used as required.

3.1.5 Formatting tools are used when creating the document.

3.1.6 Documents are  Saved to directory.

3.2 Customize basic settings to meet page layout conventions: 

3.2.1 Adjust page layout to meet information requirements

3.2.2 Open and view different toolbars

3.2.3 Change font format to suit the purpose of the document

3.2.4 Change alignment and line spacing according to document information requirements

3.2.5 Modify margins to suit the purpose of the document

3.2.6 Open and switch between several documents

3.3 Format documents

3.3.1 Use formatting features and styles as required. 

3.3.2 Highlight and copy text from another area in the document or from another active document

3.3.3 Insert headers and footers to incorporate necessary data

3.3.4 Save document in another file format

3.3.5 Save and close document to a storage device.

3.4 Create tables:

3.4.1 Insert standard table into document 

3.4.2 Change cells to meet information requirements

3.4.3 Insert and delete columns and rows as necessary

3.4.4 Use formatting tools according to style requirements

3.5 Add images: 

3.5.1 Insert appropriate images into document and customize as necessary

3.5.2 Position and resize images to meet document formatting needs

3.6 Print information and Shutdown computer: 

3.6.1 Printer is connected with computer and power outlet properly.

3.6.2 Power is switched on at both the power outlet  and printer.

3.6.3 Printer is installed and added.

3.6.4 Correct printer settings are selected and document is printed. 

3.6.5 Print from the printer spool is viewed or cancelled and 

3.6.6 Unsaved data is saved as per requirements.

3.6.7 Open software is closed and computer hardware devices are shut downed.

3.6.8 Power at the respective power outlets is switched off.

4. Operate Spreadsheet  application 

4.1 Create spreadsheets 

4.1.1 Open spreadsheet application,

4.1.2 create spreadsheet files and enter numbers, text and symbols into cells according to information requirements

4.1.3 Enter simple formulas and functions using cell referencing where required

4.1.4 Correct formulas when error messages occur

4.1.5 Use a range of common tools during spreadsheet development

4.1.6 Edit columns and rows within the spreadsheet

4.1.7 Use the auto‐fill function to increment data where required

4.1.8 Save spreadsheet to directory or folder 

4.2 Customize basic settings: 

4.2.1 Adjust page layout to meet user requirements or special needs

4.2.2 Open and view different toolbars

4.2.3 Change font settings so that they are appropriate for the purpose of the document

4.2.4 Change alignment options and line spacing according to spreadsheet formatting features

4.2.5 Format cell to display different styles as required

4.2.6 Modify margin sizes to suit the purpose of the spreadsheets

4.2.7 View multiple spreadsheets concurrently

4.3 Format spreadsheet: 

4.3.1 Use formatting features as required  

4.3.2 Copy selected formatting features from another cell in the spreadsheet or from another active

spreadsheet 

4.3.3 Use formatting tools as required within the spreadsheet

4.3.4 Align information in a selected cell as required 

4.3.5 Insert headers and footers using formatting features 

4.3.6 Save spreadsheet in another format

4.3.7 Save and close spreadsheet to storage device

4.4 Incorporate object and chart in spreadsheet: 

4.4.1 Import an object into an active spreadsheet

4.4.2 Manipulate imported object by using formatting features

4.4.3 Create a chart using selected data in the spreadsheet

4.4.4 Display selected data in a different chart

4.4.5 Modify chart using formatting features 

4.5 Create worksheets and charts

4.5.1 Worksheets are created as per requirement

4.5.2 Data are entered

4.5.3 Functions are used  for calculating  and editing logical operation

4.5.4 Sheets are formatted as per requirement.

4.5.5 Charts are created.

4.5.6 Charts/ Sheets are previewed. 

4.6 Print spreadsheet: 

4.6.1 Preview spreadsheet in print preview mode

4.6.2 Select basic printer options

4.6.3 Print spreadsheet or selected part of spreadsheet

4.6.4 Submit the spreadsheet to appropriate person for approval or feedback

5. Operate Presentation Package:

5.1 Create presentations:

5.1.1 Open a presentation package application and create a simple design for a presentation according to organizational requirements 

5.1.2 Open a blank presentation and add text and graphics

5.1.3 Apply existing styles within a presentation

5.1.4 Use presentation template and slides to create a presentation

5.1.5 Use various Illustrations and  effects in  presentation

5.1.6 Save presentation to correct directory

5.2 Customize basic settings:

5.2.1 Adjust display to meet user requirements 

5.2.2 Open and view different toolbars to view options 

5.2.3 Ensure font settings are appropriate for the purpose of the presentation

5.2.4 View multiple slides at once

5.3 Format presentation:

5.3.1 Use and incorporate organizational charts, bulleted lists and modify as required

5.3.2 Add objects and manipulate to meet presentation purposes

5.3.3 Import objects and modify for presentation purposes

5.3.4 Modify slide layout, including text and colors to meet presentation requirements

5.3.5 Use formatting tools as required within the presentation

5.3.6 Duplicate slides within and/or across a presentation 

5.3.7 Reorder the sequence of slides and/or delete slides for presentation purposes 

5.3.8 Save presentation in another format

5.3.9 Save and close presentation to disk

5.4 Add slide show effects: 

5.4.1 Incorporate preset animation and multimedia effects into presentation as required to enhance the presentation 

5.4.2 Add slide transition effects to presentation to ensure smooth progression though the presentation

5.4.3 Test presentation for overall impact

5.4.4 Use onscreen navigation tools to start and stop slide show or move between different slides as required 

5.5 Print presentation and notes: 

5.5.1 Select appropriate print format for presentation

5.5.2 Select preferred slide orientation 

5.5.3 Add notes and slide numbers

5.5.4 Preview slides and spell check before presentation 

5.5.5 Print the selected slides and submit presentation to appropriate person for feedback

6. Access Information using Internet and electronic mail

6.1 Access  resources from  internet

6.1.1 Appropriate internet browsers are selected and installed

6.1.2 Internet browser is opened and web address / URL is written/selected in /from address bar to access information.

6.1.3 Search engines are used to access information

6.1.4 Video / Information are Shared /downloaded / uploaded from / to web site/social media.

6.1.5 Web based resources are used. 

6.1.6 Netiquette’ (or web etiquette) principles are   searched and followed

6.2 Use and manage Electronic mail 

6.2.1 Email services are identified and selected  to create a new email address

6.2.2 Email account is created 

6.2.3 Document is prepared, attached and sent to different types of recipient.

6.2.4 Email is read, forwarded, replied and deleted as per requirement. 

6.2.5 Custom email folders are created and manipulated

6.2.6 Email message is printed

ELECTRICAL ENGINEERING FUNDAMENTALS

OBJECTIVES

• To familiarize the basic electrical quantities & laws and to apply them in solving problems of electrical circuits.

• To acquaint with electro-magnetism, electro-magnetic induction.

• To develop skill in electrical wiring.

• To familiarize with DC generator, AC generator, AC motor, DC Motor & Transformers.

• To appreciate the safety measures to be taken for electrical wiring.

SHORT DESCRIPTION

 Electric current, Voltage & Resistance; Conductors and insulators; Ohm's law; Kirchhoff's Law; Joule’slaw; Faraday’s law; Basic electrical circuits; Power and energy; Electro-magnetic induction; House wiring; Controlling devices; Protective devices; Earthing; DC Motor, AC Motor, DC Generator; AC Generator;

Transformer & Electricity Act/Rule.

DETAIL DESCRIPTION 

Theory:

ELECTRIC CURRENT

1 Understand electricity and its nature.

1.1 State the meaning of electricity.

1.2 Describe the structure of atom.

1.3 Define current, voltage and resistance.

1.4 State the units of current, voltage and resistance.

CONDUCTOR, SEMICONDUCTOR & INSULATOR

2 Understand conductor semiconductor & insulator.

2.1 Define conductor, semiconductor and insulator.

2.2 Explain the conductor, semiconductor and insulator according to electron theory.

2.3 List at least 5 conductors, 5 semiconductor and 5 insulators.

2.4 Describe the factors upon which the resistance of a conductor depends.

2.5 State laws of resistance.

2.6 Prove the relation R=ρ L/A

2.7 Explain the meaning of resistivity and name the unit of resistivity.

2.8 Solve problems relating to laws of resistance. OHM'S LAW

3 Understand Ohm's Law

3.1 State Ohm's law.

3.2 Deduce the relation between energy current, voltage and resistance.

3.3 Solve problems relating to Ohm's law.

Principles of Kirchhoff's Law

4 Understand Kirchhoff's Law

4.1 State Kirchhoff's current law.

4.2 Explain the Kirchhoff's current law.

4.3 Sate Kirchhoff's Voltage law.

4.4 Explain the Kirchhoff's Voltage law.

4.5 Solve problem by Kirchhoff's Law

BASIC ELECTRIC CIRCUITS

5 Understand electric circuit.

5.1 Define electric circuit.

5.2 Name the different types of electric circuits.

5.3 Define series circuit, parallel circuit and mixed circuit.

5.4 Describe the characteristic of series circuit and parallel circuit.

5.5 Calculate the equivalent resistance of series circuit, parallel circuit.

5.6 Solve problems relating to DC series circuit, parallel circuit and mixed circuit.

5.7 Define inductor, capacitor, inductive reactance & capacitive reactance.

5.8 Write the formula of inductive reactance, capacitive reactance & impedance.

5.9 Draw the AC circuit containing resistor, Inductor and Capacitor in Series and parallel circuit.

5.10 Problem on AC series & parallel circuit.

POWER AND ENERGY

6 Apply the concept of electrical power and energy.

6.1 Define electrical power and energy.

6.2 State the unit of electrical power and energy.

6.3 Show the relation between electrical power and energy.

6.4 Name the instruments for measuring of electrical power and energy.

6.5 Draw the connection diagram of wattmeter and energy meter in an electrical circuit.

6.6 Solve problems relating to electrical power and energy

ELECTRO MAGNETIC INDUCTIONS

7 Understand the principles of Joule's law.

7.1 Explain Joule's law regarding the development of heat in electrical circuit.

7.2 Describe meaning of "J".

7.3 Solve problems relating to Joule’s law.

8 Understand the Faraday’s laws of Electro-magnetic Inductions

8.1 Define Electro-magnetic Inductions.

8.2 Explain Faraday’s laws of Electro-magnetic Induction.

8.3 Solve problems on Electro-magnetic Induction.

WIRES AND CABLES

9 Understand the uses of wires and cables.

9.1 Define electrical wires and cables.

9.2 Distinguish between wires and cables.

9.3 Describe the procedure of measuring the size of wires and cables by wire gauge.

HOUSE WIRING

10 Understand the different methods of house wiring.

10.1 State the meaning of wiring.

10.2 List the types of wiring.

10.3 State the types of wiring used in:

Residential building.

Workshop Cinema hall/Auditorium Temporary shed

10.4 List the name of fittings used in different types of electrical wiring.

CONTROLLING & PROTECTIVE DEVICES

11 Understand the controlling and protective devices & use of them.

11.1 Define controlling device.

11.2 Name the different types of controlling devices.

11.3 Define protective devices.

11.4 Name the different types of protective devices.

11.5 Name the different types of fuses used in house wiring.

11.6 Name the different types of circuit breaker used in house wiring.

EARTHING

12 Understand the necessity of earthing.

12.1 Define earthing

12.2 Explain necessity of earthing

12.3 Name different types of earthing

TRANSFORMER

13 Understand the principle of operation of transformer.

13.1 Define transformer.

13.2 Explain the working principle of transformer.

13.3 Write the equation relating to voltage, current & turns of primary & secondary winding of

transformer.

13.4 Name the different losses of transformer.

13.5 Define transformation ratio (voltage, current and turns).

13.6 Solve problems on transformation ratio.

DC GENERATOR

14 Understand the principle of DC generator

14.1 Define DC Generator.

 14.2 Classify DC Generator.

 14.3 Explain the constructional features of DC Generator.

 14.4 Explain the working principle of DC generator.

 14.5 Name the different losses of DC Generator.

AC GENERATOR

15 Understand the principle of AC generator

15.1 Define AC Generator.

15.2 Explain the constructional features of AC Generator.

15.3 Explain the Working Principle of AC Generator.

15.4 Name the different losses of AC Generator.

DC MOTOR

16 Understand the principle of DC motor.

16.1 Define DC motor.

16.2 Classify DC Motor.

16.3 Name the different parts of DC motor.

16.4 Explain the working principle of DC Motor.

16.5 Name the different losses of DC Motor.

16.6 List the uses of different types of DC Motor.

AC MOTOR

17 Understand the principle of Induction motor.

17.1 Define Induction motor.

17.2 Classify Induction Motor.

17.3 Describe the principles of operation of capacitor motor.

17.4 List the uses of induction motor.

ELECTRICITY ACT

18 Understand act/rule of Bangladesh and safety practices.

 18.1 Sate electricity act/rule of Bangladesh to be followed in electrical wiring.

18.2 Describe the importance of electricity act/rule.

18.3 Describe safety procedure against electricity hazard.

18.4 List the performance of safety practices for electrical equipment, machines and accessories.

Practical:

Identify and use electrical measuring instruments.

1.1 Identify Voltmeters, Ammeters, Clip-on meter, Frequency meter, Wattmeter, Energy meter and AVO meter.

1.2 Select & read the scale of given meters.

1.3 Connect correctly voltmeter, ammeter, wattmeter and energy meter to a given circuit..

2 Show skill in verification of Ohm’s Law.

2.1 Sketch the circuit diagram for the verification of Ohm’s Law.

2.2 List tools, equipment and material required for the experiment .

2.3 Prepare the circuit according to the circuit diagram using proper equipment.

2.4 Check all connections before the circuit is energized.

2.5 Verify the law by collecting relevant data.

3 Show skill in verification of Kirchhoff's Law.

3.1 Sketch the circuit diagram for the verification of Kirchhoff's Law.

3.2 List tools, equipment and material required for the experiment .

3.3 Prepare the circuit according to the circuit diagram using proper equipment.

3.4 Check all connections before the circuit is energized.

3.5 Verify the laws by collecting relevant data.

4 Verify the characteristics of series and parallel circuits.

4.1 Draw the working circuit diagram.

4.2 List tools, equipment and materials required for the experiment .

4.3 Prepare the circuit according to the circuit diagram using proper equipment.

4.4 Check all connections before the circuit is energized.

4.5 Record data and verify that in a series circuit total voltage and resistance is equal to the summation of individual voltage and resistance respectively but total current is equal to the individual current.

4.6 Record data and verify that for a parallel circuit supply voltage is equal to the branch voltage, supply current is equal to summation of branch currents.

5 Show skill in measuring the power of an electric circuit.

5.1 Sketch the necessary circuit diagram of an electrical circuit with electrical load, ammeter, voltmeter and wattmeter.

5.2 Prepare the circuit according to the circuit diagram using ammeter, voltmeter and wattmeter.

5.3 Record the power, measured by the wattmeter and verify the reading with that of calculated from ammeter and voltmeter.

5.4 Compare the measured data with that of calculated and rated power.

6 Show skill in measuring the energy consumed in an electrical circuit.

6.1 Sketch the necessary diagram of an electric circuit wattmeter, energy meter and electrical load.

6.2 Prepare the circuit according to the circuit diagram user wattmeter and energy meter.

6.3 Record the energy measured by the energy meter and verify with that of calculated from wattmeter for a fixed time.

7 Show skill in uses of hand tools, wires and cables.

7.1 List the hand tools used in electrical wiring.

7.2 Identify the hand tools used in electrical wiring.

7.3 Draw neat sketches of hand tools used in electrical wiring.

7.4 Identify different types of wires and cables.

7.5 Measure the diameter of the identified wire and cables using standard wire gauge.

8 Show skill in preparing wiring circuit of two lamps controlled from two points separately.

8.1 Sketch a working circuit of two lamps controlled from two points separately.

8.2 Make the wiring circuit using required materials and equipment a wiring board.

8.3 Test the connection of circuit by providing proper supply.

Show skill in preparing wiring circuit of one lamp controlled from two points.

9.1 Sketch a working diagram of one lamp controlled by two SPD tumbler Switches.

9.2 Complete the wiring circuit using required materials and equipment on wiring board.

9.3 Test the connection of circuit by providing proper supply.

10 Show skill in preparing wiring circuit of one bell with two indicating lamp controlled from two points.

10.1 Sketch a working diagram of one bell with two indicating lamps controlled by two push button switch.

13.2 Make the wiring circuit using required materials and equipment in wiring board.

13.3 Test the connection of circuit by providing proper supply.

11 Show skill in preparing wiring circuit of a fluorescent tube light.

11.1 Sketch a working diagram of a fluorescent tube light circuit.

11.2 Make the connection of a fluorescent tube light circuit using required materials and equipment.

11.3 Test the connection of the circuit by providing supply.

12 Find the transformation ratio of a transformer.

12.1 Develop a circuit to perform the experiment.

12.2 Select required equipment and materials.

12.3 Connect the components according to the circuit diagram.

12.4 Check the connections.

12.5 Record the primary (EP) and secondary (ES) voltages.

12.6 Calculate the transformation ratio using the relation

12.7 Note down the observations.

13 Dis-assemble and re-assemble the parts of a DC generator/ DC motor.

13.1 Select the necessary tools required for dis-assembling and re-assembling the parts of DC generator/ DC motor.

13.2 Identify at least ten main parts of the generator/motor.

13.3 Sketch at least ten main parts of the generator/motor.

13.4 Re-assemble the parts of the generator/motor.

13.5 Connect the generator/motor to the proper power source.

13.6 Start the generator/motor.

14 Start a 1-phase capacitor type motor/ceiling fan with regulator.

14.1 Select the equipment and tools required for the experiment.

14.2 Sketch a working diagram.

14.3 Identify the two sets of coils.

14.4 Connect the capacitor with the proper set of coil.

14.5 Connect power supply to the fan motor.

14.6 Test the rotation of the motor opposite direction by changing the capacitor connection.

14.7 Note down the observations.

REFERENCE BOOKS

1 A text book of Electrical Technology - B. L. Theraja

2 Basic Electricity - Charles W Ryan

3 Basic Electrical theory and Practice - E. B. Babler

4 Electrical Machine - Siskind

MATHEMATICS-1

OBJECTIVES

• To acquaint the students with the basic terminology of Algebra.

• To be able to understand the complex numbers which are being used in electrical engineering.

• To be able to understand the binomial expansion.

• To be able to use the knowledge of trigonometry in solving problems of engineering importance.

SHORT DESCRIPTION

Algebra : AP & GP, Polynomials & polynomial equations, Complex number, Permutation & Combination, Binomial

theorem for positive integral index and negative & fractional index.

Trigonometry: Ratio of associated angles, Compound angles, Transformation formulae, multiple angles and Submultiple angles.

DETAIL DESCRIPTION

ALGEBRA :

1 Understand the concept of AP & GP.

1.1 Define AP and common difference.

1.2 Find last term and sum of n terms, given first term and common difference.

1.3 Define GP and common ratio.

1.4 Find the sum of n terms given first and common ratio.

2 Apply the concept of polynomial in solving the problems.

2.1 Define polynomials and polynomial equation.

2.2 Explain the roots and co-efficient of polynomial equations.

2.3 Find the relation between roots and co-efficient of the polynomial equations.

2.4 Determine the roots and their nature of quadratic polynomial equations.

2.5 Form the equation when the roots of the quadratic polynomial equations are given.

2.6 Find the condition of the common roots of quadratic polynomial equations.

2.7 Solve the problems related to the above.

3 Understand the concept of complex numbers.

3.1 Define complex numbers.

3.2 Perform algebraic operation (addition, subtraction, multiplication, division, square root) with complex

number of the form a + ib.

3.3 Find the cube roots of unity.

3.4 Apply the properties of cube root of unity in solving problems.

4 Apply the concept of permutation.

4.1 Explain permutation.

4.2 Find the number of permutation of n things taken r at a time when,

 i) things are all different.

 ii) things are not all different.

4.3 Solve problems of the related to permutation :

i) be arranged so that the vowels may never be separated. From 10 man and 6 women a committee of 7 is to be

formed. In how many ways can this be done so as to include at least two women in the committee.

5 Apply the concept of Combination.

5.1 Explain combination.

5.2 Find the number of combination of n different things taken r at a time.

5.3 Explain nCr, nCn, nC0

5.4 Find the number of combination of n things taken r at a time in which p particular things

 i) Always occur ii) never occur.

5.5 Establish i) nCr = nCn-r

 ii) nCr + nCr-1 = n+1Cr

5.6 Solve problems related to combination.

6 Apply partial fraction to break the numerator and denominator.

6.1 Define proper and improper fractions.

6.2 Resolve in to partial fraction of the followings types :

a) Denominator having a non-repeated linear factor

b) Denominator having a repeated linear factor.

c) Denominator having a quadratic factors.

d) Denominator having a combination of repeated, non-repeated and quadratic factors.

Apply the concept of binomial theorem.

7.1 State binomial expression.

7.2 Express the binomial theorem for positive index.

7.3 Find the general term, middle term, equidistant term and term independent of x.

7.4 Use binomial theorem to find the value of

 i) (0.9998)2, correct to six places of decimal.

 ii) (1 + 2)5 − (1− 2)5

8 Apply the concept of binomial theorem for negative index.

8.1 Express the binomial theorem for negative and fractional index.

8.2 Solve problems of the following types:

 Expand (i) (1 – nx)– 1 n (ii) 1 4.08

TRIGONOMETRY :

9 Apply the concept of associated angles.

9.1 Define associated angles.

9.2 Find the sign of trigonometrical function in different quadrants.

9.3 Calculate trigonometrical ratios of associated angle.

9.4 Solve the problems using above.

10 Apply the principle of trigonometrical ratios of compound angles.

10.1 Define compound angles.

10.2 Establish the following relation geometrically for acute angles.

 i) sin (A ± B) = sin A cos B ± cos A sin B.

 ii) cos (A ± B) = cosA cosB ± sinAsinB.

10.3 Deduce formula for tan (A ± B), Cot (A ± B).

10.4 Apply the identities to work out the problems:

i) find the value of sin 750, tan 750

.ii) show that sin75° + sin15°

sin75° – sin15°= 3

iii) if α + β = θ, tanα + tan β = b, cot α+ cot β = a,

 show that (a − b) = ab cot θ .

Apply sum and product formula of trigonometrical ratios.

11.1 Express sum or difference of two sines and cosines as a product and vice-versa

11.2 Solve problems of the followings types:

 i) show that, sin55° + cos55° = 2 cos10°

 ii) prove that, cos80° cos60° cos40° cos20° = 116

12 Apply the concept of ratios of multiple angles.

12.1 State the identities for sin 2A, cos 2A and tan 2A.

12.2 Deduce formula for sin 3A, cos 3A and tan 3A.

12.3 Solve the problems of the followings types.

 i) express cos 5θ in terms of cos θ.

 ii) if tan α = 2 tan β, show that, tan (α + β) = 3 sin 2α1 + 3 cos 2α

13 Apply the concept of ratios of sub-multiple angles.

13.1 Find mathematically the identities for sin α , cos α and tan α in terms of α2and α3

13.2 Solve the problems of the type :

 find the value of cos 3°, cos 6°, cos 9°, cos 18°, cos 36° etc

Reference:

S. P Deshpande , Mathematics for Polytechnic Students

·        Pune Vidyarthi Graha Prakashan

H. K. Das , Mathematics for Polytechnic Students(Volume I)

·        S.Chand Prakashan

Ashim Kumar Saha Higher Mathematics

·        Akshar patra Prakashani

S.U Ahamed & M A Jabbar Higher Mathematics

·        Alpha Prakashani

PHYSICS-I

OBJECTIVES

• To develop the students a background of basic science i.e. Physics required for understanding

technological subjects.

• To develop a working knowledge of common engineering and industrial materials and to enable to

determine through experiments the properties of such materials.

• To develop through experiments an understanding of fundamental scientific concept.

• To develop a basic knowledge and concept of physical properties of common engineering and industrial materials.

SHORT DESCRIPTION

Measurement, Units; Vector and Scalar quantities; Motion and Equations of motion; Force and Newton’sLaws of motion; Gravity and Gravitation; Simple Harmonic motion; Hydrostatics; Surface tension andviscosity; Pressure, Sound; wave and sound Concepts and nature of sound, Velocity of sound, Ultrasonic.

DETAIL DESCRIPTION

THEORY :

1. PHYSICAL WORLD AND MEASUREMENT

1.1. Nature of Physical World.

1.2. Scope and Excitement of Physics.

1.3. Few Terms about Physics.

1.4. Physics and other world of Technological Knowledge.

1.5. Principle of Measurement.

1.6. Fundamental and Derived Quantities and Units.

1.7. Dimensions of Units.

1.8. Errors in Measurement.

2. SCALAR AND VECTOR QUANTITIES

2.1 Define vector and scalar quantities with examples.

2.2 Show the various representations of the vector quantities; and representation of a vector by

unit vector.

2.3 Find and explain the resultant of two vectors in different directions.

2.4 Resolve a vector into horizontal & vertical component.

2.5 Explain the dot and cross product of two vectors.

2.6 Define laws of triangle of vector.

3. MOTION AND EQUATIONS OF MOTION

3.1 Define rest and motion

3.2 Classify and explain of motion.

3.3 Define and explain displacement, speed, velocity, acceleration and retardation.

3.4 Deduce the relationship between displacement, velocity, acceleration and retardation fromthese definitions.

3.5 Motion of a Projectile.

3.6 Equation of motion of a freely moving body thrown obliquely vertically upward or motion of a projectile.

3.7 Define angular velocity and linear velocity with their units.

3.8 Deduce the relation between angular velocity and linear velocity.

3.9 Define centripetal and centrifugal force with examples.

3.10 Prove that centrifugal force =rmv 2

3.11 State and explain the laws of falling bodies and mention the equation of motion of a body when it is projected vertically upwards or downwards.

4. NEWTON'S LAWS OF MOTION FORCE AND FRICTION

4.1 Define force.

4.2 State Newton’s laws of motion.

4.3 Define different units of force and their correlation and also mention the dimension of force.

4.4 Prove P=mf, from Newton's 2nd law of motion.

4.5 Find out the resultant of parallel forces.

4.6 Define inertia and momentum

4.7 State and prove the principles of conservation of momentum.

4.8 Define friction and describe the different kinds of friction.

4.9 Define the co-efficient of static friction.

4.10 Show that the co-efficient of static friction is equal to the tangent of angle of repose

4.11 State the merits and demerits of friction.

5. GRAVITY AND GRAVITATION

5.1 Define and explain the Kepler's Law.

5.2 Define gravity and gravitation.

5.3 Define and determine the gravitational constant (G) and also mention its units and dimension.

5.4 Define acceleration due to gravity 'g' and also mention its units and dimension.

5.5 Discuss the variation of 'g' at different places.

5.6 Define mass and weight with their units and dimension.

5.7 Distinguish between mass and weight.

5.8 Define and explain gravitational potential and escape velocity

6. SIMPLE HARMONIC MOTION (SHM)

6.1 Define Periodic and simple harmonic motion (SHM).

6.2 State the characteristics of SHM.

6.3 Describe a simple pendulum and a second pendulum.

6.4 Define effective length, amplitude, phase, complete oscillation, period of oscillation, frequency.

6.5 State and explain the laws of simple pendulum.

6.6 Motion of simple pendulum and it’s time period.

7. WORK, POWER AND ENERGY

7.1 Define work, power and energy.

7.2 State the units and dimensions of work, power and energy.

7.3 State and prove the principle of the conservation of energy.

7.4 Define potential energy (PE ) and kinetic energy ( KE ).

7.5 Derive the equation of potential and kinetic energy.

7.6 Recognize that the useful work can be found from:

 8. ELASTICITY

8.1 Name some of the general and special properties of matter.

8.2 Define Elasticity and Elastic limit.

8.3 Define perfectly elastic body and perfectly rigid body.

8.4 Define stress and strain with their units and dimensions.

8.5 State and explain the Hook’s law.

8.6 Describe various kinds of modulus of elasticity.

8.7 Mention the units and dimensions of modulus of elasticity.

8.8 Define and explain Poisson’s ratio

9. HYDROSTATICS

9.1 Define pressure as force per unit area and state that it is measured in N/m2

 or Pascal.

9.2 State characteristics of liquid pressure.

9.3 Establish the pressure at a point in a fluid depend upon the density of the fluid, the depth in

the fluid and acceleration due to gravity.

9.4 Surface tension and surface energy, Angle of contact.

9.5 Capillarity and theory of capillarity.

9.6 Viscosity and co-efficient of viscosity.

9.8 Necessity of viscosity.

10. WAVE AND SOUND

10.1 Wave and wave motion.

10.2 Transverse wave and longitudinal wave.

10.3 Some definitions relating waves.

10.4 Progressive wave and stationary waves.

10.5 Equation of progressive wave.

10.6 Sound and production of sound.

10.7 Sound is a longitudinal traveling wave.

10.8 Interference of sound: Constructive and Destructive interference.

10.9 Define beats and Mechanism of formation of beats.

PRACTICAL

1. Determine accurate diameter/side of an object using vernier calipers.

2. Measure the area of cross section of a wire by micrometer screw gage.

3. Measure the thickness of a glass plate by speedometer.

4. Verify the law of parallelogram of forces by a force board.

5. Draw L-T2 graph and determine the value of “g” by using a simple pendulum.

6. Determine the coefficient of static friction.

7. Determine Young’s modulus of a steel wire by Searle’s apparatus.

8. Determine gravity of a solid heavier than and insoluble in water by hydrostatic balance.

9. Determine specific gravity of a liquid by specific gravity bottle.

10. Determine velocity of sound by resonance air column method.

REFERENCE BOOKS:

1. Higher Secondary Physics - First Part - Dr. Shahjahan Tapan

2. A Text Book of Properties of of matter - N Subrahmanyam and Brij Lal

3. A Text Book of Sound - N Subrahmanyam and Brij Lal

4. Higher Secondary Physics- First Part - Prof. Golam Hossain Pramanik

5. Higher Secondary Physics- First Part - Ishak Nurfungnabi

ENGLISH

Full Marks: 100

Continuous Assessment: 40 Marks

Theory (Final Exam): 60 Marks

Objectives:

After the completion of the course, learners will be able to develop-

·        Reading, Listening with understanding

·        The fluency of speech

·        Grammatical accuracy with emphasis on spelling & punctuation

·        Creative writing

Grammar (Marks-2)

1. (a) Uses of Articles.

 (b) Uses of Tense *(Right forms of verbs with indicators)

 (c) Classify verbs: (Regular and Irregular verbs, Auxiliary, Principal, finite, non-finite verbs,)

2. Sentence:

 (a) Changing Sentences: (Assertive, Interrogative, Optative, Imperative, Exclamatory Simple, Complex

and Compound), Comparison Of Adjectives/Adverbs

 (b) Question making: WH, Yes/No, Tag question

3. Enrich vocabulary: synonyms, Antonyms; suffix and prefix.

4. Voice, Narration

5. Sentence Analysis : Study of part of Speech,(Type of verbs-Regular and Irregular verbs, Auxiliary and Principal verb) Study Of Phrases and Clauses (Noun/ Adjective/ verb/ participle /adverbial/ prepositional phrases and Principal /Sub ordinate //co ordinate clauses)

Free Writing (Marks -20)

1. Write dialogues: (with teacher, principal, shopkeeper, hotel manager, station maste, newcomer, buyers,

doctor, friend, colleagues etc).

2. Report writing on different events/ occasions/ accidents.

3. Writing situational personal and official letters.

4. Writing job application with CV /Appointment letter / joining letter

5. Write a guided paragraph with questions.