JNTUK R16 4-1 EIAM Material/Notes PDF Download

JNTUK R16 4-1 EIAM Material/Notes PDF Download

Students those who are studying JNTUK R16 Civil Branch, Can Download Unit wise R16 4-1 Environmental Impact Assessment & Management Material/Notes PDFs below.

jntuk-materials

JNTUK R16 4-1 EIAM Material/Notes PDF Download

OBJECTIVES:

  • To impart knowledge on different concepts of Environmental Impact Assessment
  • To know procedures of risk assessment
  • To learn the EIA methodologies and the criterion for selection of EIA methods
  • To pre-requisites for ISO 14001 certification
  • To know the procedures for environmental clearances and audit
  • To appreciate the importance of stakeholder participation in EIA

UNIT-1

Basic concept of EIA: Elements of EIA-factors affecting EIA-Initial environmental Examination-life cycle analysis preparation of Environmental Base mapClassification of environmental parameters – role of stakeholders in the EIA preparation – stages in EIA

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UNIT-2

E I A Methodologies: introduction, Criteria for the selection of EIA Methodology, E I A methods, Ad-hoc methods, matrix methods, Network method Environmental Media Quality Index method, overlay methods, cost/benefit Analysis – EIS and EMP

Download UNIT-2 Material PDF | Reference-2

UNIT-3

Impact of Developmental Activities and Land use: Introduction and Methodology for the assessment of soil and ground water, Delineation of study area, Identification of actives- application of remote sensing and GIS for EIA.

Download UNIT-3 Material PDF | Reference-2

UNIT-4

Procurement of relevant soil quality, Impact prediction, Assessment of Impact significance, Identification and Incorporation of mitigation measures – E I A with reference to surface water, Air and Biological environment: Methodology for the assessment of Impacts on surface water environment, Generalized approach for assessment of Air pollution Impact.

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UNIT-5

Assessment of Impact of development Activities on Vegetation and wildlife, environmental Impact of Deforestation. Environmental Risk Assessment and Risk management in EIA: Risk assessment and treatment of uncertainty-key stages in performing an Environmental Risk Assessmentadvantages of Environmental Risk Assessment

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UNIT-6

EIA notification by Ministry of Environment and Forest (Govt. of India): Provisions in the EIA notification, procedure for environmental clearance, procedure for conducting environmental impact assessment report- evaluation of EIA report. Environmental legislation objectives, evaluation of Audit data and preparation of Audit report. Post Audit activities, Concept of ISO and ISO 14000. Case studies and preparation of Environmental Impact assessment statement for various Industries

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TEXT BOOKS:

  1. Environmental Impact Assessment, Canter Larry W., McGraw-Hill education Edi (1996)
  2. Environmental Impact Assessment Methodologies, Y. Anjaneyulu, B. S. Publication, Sultan Bazar, Hyderabad

REFERENCE BOOKS:

  1. Environmental Science and Engineering, J. Glynn and Gary W. Hein Ke – Prentice Hall Publishers
  2. Environmental Science and Engineering, Suresh K. Dhaneja, S. K. , Katania & Sons Publication., New Delhi.
  3. Environmental Pollution and Control, H. S. Bhatia, Galgotia Publication (P) Ltd, Delhi

OUTCOMES:

  • Prepare EMP, EIS, and EIA report
  • Identify the risks and impacts of a project
  • Selection of an appropriate EIA methodology
  • Evaluation the EIA report
  • Estimate the cost benefit ratio of a project
  • Know the role of stakeholder and public hearing in the preparation of EIA

JNTUK R16 4-1 GIT Material/Notes PDF Download

JNTUK R16 4-1 GIT Material/Notes PDF Download

Students those who are studying JNTUK R16 Civil Branch, Can Download Unit wise R16 4-1 Ground Improvement Techniques Material/Notes PDFs below.

jntuk-materials

JNTUK R16 4-1 GIT Material/Notes PDF Download

OBJECTIVES:

  • To make the student appreciate the need for different ground improvement methods adopted for improving the properties of remoulded and in-situ soils by adopting different techniques such as in situ densification and dewatering methods.
  • To make the student understand how the reinforced earth technology and soil nailing can obviate the problems posed by the conventional retaining walls.
  • To enable the students to know how geotextiles and geosynthetics can be used to improve the engineering performance of soils.
  • To make the student learn the concepts, purpose and effects of grouting.

UNIT-1

In situ densification methods- in situ densification of granular soils- vibration at ground surface and at depth, impact at ground and at depth – in situ densification of cohesive soils – pre loading – vertical drains – sand drains and geo drains – stone columns.

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UNIT-2

Dewatering – sumps and interceptor ditches – single and multi stage well points – vacuum well points – horizontal wells – criteria for choice of filler material around drains – electro osmosis

Download UNIT-2 Material PDF | Reference-2

UNIT-3

Stabilization of soils – methods of soil stabilization – mechanical – cement – lime – bitumen and polymer stabilization – use of industrial wastes like fly ash and granulated blast furnace slag.

Download UNIT-3 Material PDF | Reference-2

UNIT-4

Reinforce earth – principles – components of reinforced earth – design principles of reinforced earth walls – stability checks – soil nailing

Download UNIT-4 Material PDF | Reference-2

UNIT-5

Geosynthetics – geotextiles – types – functions , properties and applications – geogrids , geomembranes and gabions – properties and applications.

Download UNIT-5 Material PDF | Reference-2

UNIT-6

Grouting – objectives of grouting – grouts and their applications – methods of grouting – stage of grouting – hydraulic fracturing in soils and rocks – post grout tests

Download UNIT-6 Material PDF


TEXT BOOKS:

  1. Ground Improvement Techniques, Purushotham Raj, Laxmi Publications, New Delhi.
  2. Ground Improvement Techniques, Nihar Ranjan Patro, Vikas Publishing House (p) limited , New Delhi.
  3. An introduction to Soil Reinforcement and Geosynthetics, G. L. Siva Kumar Babu, Universities Press.

REFERENCE BOOKS:

  1. Ground Improvement, M.P. Moseley, Blackie Academic and Professional, USA.
  2. Designing with Geosynethetics, R. M Koerner, Prentice Hall

OUTCOMES:

  • By the end of the course, the student should be able to possess the knowledge of various methods of ground improvement and their suitability to different field situations.
  • The student should be in a position to design a reinforced earth embankment and check its stability.
  • The student should know the various functions of Geosynthetics and their applications in Civil Engineering practice.
  • The student should be able to understand the concepts and applications of grouting.

JNTUK R16 4-1 RSGA Material/Notes PDF Download

JNTUK R16 4-1 RSGA Material/Notes PDF Download

Students those who are studying JNTUK R16 Civil Branch, Can Download Unit wise R16 4-1 Remote Sensing & GIS Applications Material/Notes PDFs below.

jntuk-materials

JNTUK R16 4-1 RSGA Material/Notes PDF Download

OBJECTIVES:

  • introduce the basic principles of Remote Sensing and GIS techniques.
  • learn various types of satellite sensors and platforms
  • learn concepts of visual and digital image analyses
  • understand the principles of spatial analysis
  • appreciate application of RS and GIS to Civil engineering

UNIT-1

Introduction to remote sensing: Basic concepts of remote sensing, electromagnetic radiation, electromagnetic spectrum, interaction with atmosphere, energy interaction with the earth surfaces, Characteristics of remote sensing systems

Sensors and platforms: Introduction, types of sensors, airborne remote sensing, spaceborne remote sensing, image data characteristics, digital image data formats-band interleaved by pixel, band interleaved by line, band sequential, IRS, LANDSAT, SPOT, MODIS, ASTER,RISAT and CARTOSAT

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UNIT-2

Image analysis: Introduction, elements of visual interpretations, digital image processing- image preprocessing, image enhancement, image classification, supervised classification, unsupervised classification.

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UNIT-3

Geographic Information System: Introduction, key components, application areas of GIS, map projections. Data entry and preparation: spatial data input, raster data models, vector data models.

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UNIT-4

Spatial data analysis: Introduction, overlay function-vector overlay operations, raster overlay operations, arithmetic operators, comparison and logical operators, conditional expressions, overlay using a decision table, network analysis-optimal path finding, network allocation, network tracing and buffer analysis.

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UNIT-5

RS and GIS applications General: Land cover and land use, agriculture, forestry, geology, geomorphology, urban applications,

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UNIT-6

Applications of Hydrology, Water Resources and Disaster Management: Flood zoning and mapping, groundwater prospects and potential recharge zones, watershed management and disaster management with case studies.

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TEXT BOOKS:

  1. Remote sensing and GIS, Bhatta B (2008) , Oxford University Press
  2. Remote Sensing and Image Interpretation, Lillesand, T.M, R.W. Kiefer and J.W. Chipman (2013), Wiley India Pvt. Ltd., New Delhi
  3. Fundamentals of Geographic Information Systems, Demers, M.N, Wiley India Pvt. Ltd, 2013.

REFERENCE BOOKS:

  1. Fundamentals of Remote Sensing, George Joseph, Universities Press, 2013.
  2. Concepts and Techniques of Geographical Information System, Chor Pang Lo and A K W Yeung, Prentice Hall (India), 2006
  3. Remote Sensing and its Applications, Narayan LRA, Universities Press, 2012.
  4. Introduction to Geographic Information Systems, Kand Tsung Chang, McGraw Hill Higher Education, 2009.
  5. Basics of Remote sensing & GIS, Kumar S, Laxmi Publications, New Delhi, 2005.
  6. Principals of Geographical Information Systems, Burrough P A and R.A. McDonnell, Oxford University Press, 1998.
  7. Remote Sensing, Schowenger, R. A (2006), Elsevier publishers.

OUTCOMES:

  • be familiar with ground, air and satellite based sensor platforms.
  • interpret the aerial photographs and satellite imageries
  • create and input spatial data for GIS application
  • apply RS and GIS concepts in water resources engineering
  • applications of various satellite data

TNPSC Group 1 Prelims Result 2021 (Released) – Cutoff Marks, Merit List (Selected Candidates)

TNPSC Group 1 Result 2021, Selection list : Tamil Nadu Public Service Commission (TNPSC) has recently conducted the Group 1 Examination on 3rd January 2021 in various examination centers across Tamil Nadu state. The TNPSC Group 1 Prelims examination has been held in many examination centres across Tamil Nadu state. Reportedly 1.2 lakh candidates seeking for state government jobs in Tamil Nadu has appeared for the examination on 3rd January. Many of the aspirants desirous to get Government jobs in Tamil Nadu state have attempted this examination with great dedication. All the competitors can now check the latest update regarding the TNPSC Group 1 Result Release Date from here. Go through the article to know more Details.

 TNPSC Group 1 Result 2021 & Cutoff Marks, Rank/ Score Cards Download @ Tnpsc.gov.in

TNPSC Group 1 Prelims Result 2021

Tamil Nadu Public Service Commission is the state level government authority which especially works for recruitment of efficient personnel for various Government departments of the state. The TNPSC is going to release various government job notifications every year. Annually huge many unemployed and interested candidates are applying for TNPSC jobs to get government jobs in Tamil Nadu.

 

TNPSC Group 1 Results 2021, Qualified candidates List Information:

Organization / Board            Tamil Nadu Public Service Commission (TNPSC)
Website           Tnpsc.gov.in
Notification      Group 1 posts
No. of Posts    Various
Category        TNPSC Group 1 Results 2021
TNPSC Group 1 Exam Date               3rd January 2021
Result Status   Released on 9th February 2021

This year the TNPSC has released a recruitment notification for 85 Group 1 posts of Bill IAS, IPS, IFS etc departments. Many of the interested candidates having the suitable educational qualification have applied for TNPSC Jobs 2021. Selection of candidates will be done through written test and interview. Candidates qualifying the TNPSC Group 1 Exam Results 2021 will be forwarded for interview round. Candidates who fulfil the interview round with good communication will get the offer to work in TN State in their desired post.

Check TNPSC Group 1 Cut Off Marks, Merit List:

Recently, the Tamil Nadu PSC has intimated that, the results of TNPSC Group 1 Examination will be available on 9th feb. Tentatively the TNPSC Group 1 Results 2021 are released today. Hence candidates need to wait for a while to know the exact date. The authority is soon going to announce the correct date. All the hopefuls those have attempted the TNPSC Group 1 examination can stay checking the TNPSC official website, tnpsc.gov.in. Also here we will update the latest information regarding the TNPSC Group 1 Results. Candidates can book mark our page with Ctrl+d and can visit often to know the regular updates.

POSTS INCLUDED IN CCS-I EXAMINATION (GROUP I SERVICES)
(Main Written Examination)

The candidates whose Register Numbers are mentioned below have been
provisionally admitted to the Main written Examination for appointment by direct recruitment to the POSTS INCLUDED IN COMBINED CIVIL SERVICES-I EXAMINATION (GROUP-I SERVICES), 2018-2019 and 2019-2020, in the ratio of 1:50 based on the results of the Preliminary Examination conducted by the Commission on 03.01.2021 FN.

The Main Written Examination will be held on 28.05.2021, 29.05.2021 and 30.05.2021.

Check Here: TNPSC Group 1 Prelims Results 2021  (Available Now)

How to Check TNPSC Group 1 result & merit list and cut off Marks 2021

  • Visit the TNPSC Official portal, TNPSC.GOV.IN [OR] click the direct link given below.
  • Search for Group 1 examination Results, cutoff marks 2021 tab, which can be find on homepage.
  • Click on it, and enter the details of registration number, date of birth etc,. And click on submit button down to the details.
  • The Group 1 Result, score 2021 will appear on screen.
  • Save the result and take a hard copy of it for reference.
IS Released TNPSC Group 1 Result 2021 Prelims?

Yes, Released on 9th February 2021.

When Will be Conducted TNPSC Group 1 Mains Exam 2021?

The Main Written Examination will be held on 28.05.2021, 29.05.2021 and 30.05.2021.

How to Check TNPSC Group 1 Result, Selection List 2021?

Click on above link and download pdf file and search your name.

JNTUK B.Tech 1-1 Sem R20 Mechanical Materials Subject Wise PDF

JNTUK B.Tech 1-1 R20 Mech Materials: Students Can Download JNTUK 1-1 Mechanical R20 Regulation Materials/ E Note Books / Text Books Subject Wise From Below.

JNTUK B.Tech 1-1 Sem R20 Mechanical Materials Subject Wise PDF

jntuk-materials

Students of Jawaharlal Nehru Technological University Kakinada can avail of B.Tech 1-1 can avail of the materials for R20 regulation for various branches. Students can download JNTUK B.Tech 1-1 Sem R20 Mechanical Materials Subject Wise PDF from the links provided here. By tapping on the link, one can download materials for JNTUK 1-1 Sem MECH R20. The Mechanical Engineering Students can download the subject-wise materials PDFs collected from various sources. By referring to the materials one can gain knowledge to clear the exams with a good score. The course materials include Mathematics-I, Engineering Physics, Programming for Problem Solving, English, Engineering Drawing and various other Mechanical related books of various popular authors. Check the following B.Tech R20 MECH 1-1 Materials PDFs and download them for free. 

JNTUK B.Tech 1-1 Sem R20 Mechanical Course Structure:

Sl. NoSubjectsLTPCredits
1Calculus & Differential Equations-M13003
2Engineering Physics3003
3Programming for Problem Solving3003
4English3003
5Engineering Drawing2023
6Engineering Physics Lab0031.5
7Programming for Problem Solving Laboratory0031.5
8English Language Lab0031.5
9Environmental Science3000
Total Credits1701119.5

Also Check: JNTUK 1-1 Sem R20 MECH Syllabus

Download JNTUK 1-1 R20 MECH Materials PDF

Students who are pursuing the B.Tech 1-1 MECH R20 Regulation can check the text books, reference books, and e-resourses provided here for free. Students can get the complete chapter-wise information from their respective text books. And from the following information from the e-resourses, text books from the familer authors will provide the extra knowledge and understanding of each subject. Hence ts helps to score good in exams. Here we have collaboratively given the best JNTUK 1-1 R20 Mechanical materials at one place for the reference of students.

Mathematics-I Material (Calculus and Differential Equations)

Engineering Physics Material

Programming for Problem Solving Material

English Material

Engineering Drawing Material

JNTUK B.Tech 1-1 Sem R20 EEE Materials Subject Wise PDF

JNTUK B.Tech 1-1 R20 EEE Materials: Students Can Download JNTUK 1-1 EEE R20 Regulation Materials/ E Note Books / Text Books Subject Wise From Below.

JNTUK B.Tech 1-1 Sem R20 EEE Materials Subject Wise PDF

jntuk-materials

Students of Jawaharlal Nehru Technological University Kakinada can avail of B.Tech 1-1 can avail of the materials for R20 regulation for various branches. Students can download JNTUK B.Tech 1-1 Sem R20 EEE Materials Subject Wise PDF from the links provided here. By tapping on the link, one can download materials for JNTUK 1-1 Sem EEE R20. The electrical and electronics engineering Students can download the subject-wise materials PDFs collected from various sources. By referring to the materials one can gain knowledge to clear the exams with a good score. The course materials include Communicative English, Mathematics-I, Mathematics-II, Programming for Problem Solving Using C, Engineering Drawing & Design and various other EEE related books of various popular authors. Check the following B.Tech R20 EEE 1-1 Materials PDFs and download them for free. 

JNTUK B.Tech 1-1 Sem R20 EEE Course Structure:

Sl. NoSubjectsLTPCredi ts
1Communicative English3003
2Mathematics-I (Calculus and Differential Equations)3003
3Mathematics-II (Linear Algebra and Numerical Methods)3003
4Programming for Problem Solving Using C3003
5Engineering Drawing & Design1043
6Communicative English Lab0031.5
7Electrical Engineering Workshop0131.5
8Programming for Problem Solving Using C Lab0031.5
Total Credits19.5

Also Check: JNTUK 1-1 Sem R20 EEE Syllabus

Download JNTUK 1-1 R20 EEE Materials PDF

Students who are pursuing the B.Tech 1-1 EEE R20 Regulation can check the text books, reference books, and e-resourses provided here for free. Students can get the complete chapter-wise information from their respective text books. And from the following information from the e-resourses, text books from the familer authors will provide the extra knowledge and understanding of each subject. Hence ts helps to score good in exams. Here we have collaboratively given the best JNTUK 1-1 R20 EEE materials at one place for the reference of students.

Communicative English Material

Mathematics-I Material (Calculus and Differential Equations)

Mathematics-II Material (Linear Algebra and Numerical Methods)

Programming for Problem Solving Using C Material

Engineering Drawing & Design Material

AU College of Arts and Commerce are Directed to Reschedule the 3rd & 1st Sem Time Tables

AU College of Arts and Commerce are Directed to Reschedule the 3rd & 1st Sem Time Tables

Andhra University

All the Heads of the College of Arts & Commerce of Andbra University are direeted to reschedule the Time-Table for Third Semester Examinations from 1st March, 2021 to 10th March, 2021 on alternate dates. They are further directed to set the Time-Table for 1st year First Semester Supplementary Examinations in between from 1st March, 2021 to 12th March, 2021.

The Heads are to inform to the Third Semester Students to arrive in to the campus on 24th February, 2021 and Second Mid-Semester Examinations should be conducted on 25th, 26th and 27th February, 2021. The Heads are directed to send the rescheduled Examination Time-Table for both Third Semester (Regular) and First Semester (Supplementary) Examinations by 11th February, 2021 to our office.

SemExam Dates
3rd Sem 2nd Mid Exams25th, 26th and 27th February, 2021
3rd Sem Exams1st March, 2021 to 10th March, 2021 on alternate dates
1st Year 1st Sem Exams1st March, 2021 to 12th March, 2021

Download the official Notification Here: Click Here

JNTUK B.Tech 1-1 Sem R20 ECE Materials Subject Wise PDF

JNTUK B.Tech 1-1 R20 ECE Materials: Students Can Download JNTUK 1-1 ECE R20 Regulation Materials/ E Note Books / Text Books Subject Wise From Below.

JNTUK B.Tech 1-1 Sem R20 ECE Materials Subject Wise PDF

jntuk-materials

Students of Jawaharlal Nehru Technological University Kakinada can avail of B.Tech 1-1 can avail of the materials for R20 regulation for various branches. Students can download JNTUK B.Tech 1-1 Sem R20 ECE Materials Subject Wise PDF from the links provided here. By tapping on the link, one can download materials for JNTUK 1-1 Sem ECE R20. The electronics and communication engineering Students can download the subject-wise materials PDFs collected from various sources. By referring to the materials one can gain knowledge to clear the exams with a good score. The course materials include English, Mathematics -I, Applied Chemistry, Programming for Problem Solving Using C, Engineering Drawing and various other ECE related books of various popular authors. Check the following B.Tech R20 ECE 1-1 Materials PDFs and download them for free. 

JNTUK B.Tech 1-1 Sem R20 ECE Course Structure:

Sl. NoSubjectsLTPCredits
1English3003
2Mathematics -I3003
3Applied Chemistry3003
4Programming for Problem Solving Using C3003
5Engineering Drawing2023
6English Lab0031.5
7Applied Chemistry Lab0031.5
8Programming for Problem Solving Using C Lab0031.5
Total Credits19.5

Also Check: JNTUK 1-1 Sem R20 ECE Syllabus

Download JNTUK 1-1 R20 ECE Materials PDF

Students who are pursuing the B.Tech 1-1 ECE R20 Regulation can check the text books, reference books, and e-resourses provided here for free. Students can get the complete chapter-wise information from their respective text books. And from the following information from the e-resourses, text books from the familer authors will provide the extra knowledge and understanding of each subject. Hence ts helps to score good in exams. Here we have collaboratively given the best JNTUK 1-1 R20 ECE materials at one place for the reference of students.

English Material

Mathematics -I Material

Applied Chemistry Material

Programming for Problem Solving Using C Material

Engineering Drawing Material

JNTUK B.Tech 1-1 Sem R20 CSE Materials Subject Wise PDF

JNTUK B.Tech 1-1 R20 CSE Materials: Students Can Download JNTUK 1-1 CSE R20 Regulation Materials/ E Note Books / Text Books Subject Wise From Below.

JNTUK B.Tech 1-1 Sem R20 CSE Materials Subject Wise PDF

jntuk-materials

Students of Jawaharlal Nehru Technological University Kakinada can avail of B.Tech 1-1 can avail of the materials for R20 regulation for various branches. Students can download JNTUK B.Tech 1-1 Sem R20 CSE Materials Subject Wise PDF from the links provided here. By tapping on the link, one can download materials for JNTUK 1-1 Sem CSE R20. The Computer Science Engineering Students can download the subject-wise materials PDFs collected from various sources. By referring to the materials one can gain knowledge to clear the exams with a good score. The course materials include English, Mathematics – I, Applied Physics, Programming for Problem Solving using C, Computer Engineering Workshop and various other CSE related books of various popular authors. Check the following B.Tech R20 CSE 1-1 Materials PDFs and download them for free. 

JNTUK B.Tech 1-1 Sem R20 CSE Course Structure:

S. NoCourse CodeCoursesLTPCredits
1HSEnglish3003
2BSMathematics – I (Calculus And Differential Equations)3003
3BSApplied Physics3003
4ESProgramming for Problem Solving using C3003
5ESComputer Engineering Workshop2023
6HSEnglish Language and Communication Skills Lab0031.5
7BSApplied Physics Lab0031.5
8ESProgramming for Problem Solving using C Lab0031.5
Total Credits1401119.5

Also Check: JNTUK 1-1 Sem R20 CSE Syllabus

Download JNTUK 1-1 R20 CSE Materials PDF

Students who are pursuing the B.Tech 1-1 CSE R20 Regulation can check the text books, reference books, and e-resourses provided here for free. Students can get the complete chapter-wise information from their respective text books. And from the following information from the e-resourses, text books from the familer authors will provide the extra knowledge and understanding of each subject. Hence ts helps to score good in exams. Here we have collaboratively given the best JNTUK 1-1 R20 CSE materials at one place for the reference of students.

English Material

Mathematics – I Material (Calculus And Differential Equations)

Applied Physics Material

Programming for Problem Solving using C Material

Computer Engineering Workshop Material

JNTUK R19 2-1 DMS Material/Notes PDF Download

JNTUK R19 2-1 DMS Material/Notes PDF Download

Students those who are studying JNTUK R19 IT Branch, Can Download Unit wise R19 2-1 Discrete Mathematical Structures Material PDFs below.

jntuk-materials

JNTUK R19 2-1 DMS Material/Notes PDF Download

Course Objectives: This course is designed to:

  • To introduce the students to the topics and techniques of discrete methods and combinatorial reasoning
  • To introduce a wide variety of applications. The algorithmic approach to the solution of problems is fundamental in discrete mathematics, and this approach reinforces the close ties between this discipline and the area of computer science

Course Outcomes: At the end of the course student will be able to

  • Demonstrate skills in solving mathematical problems
  • Comprehend mathematical principles and logic
  • Demonstrate knowledge of mathematical modeling and proficiency in using mathematical software
  • Manipulate and analyze data numerically and/or graphically using appropriate Software

UNIT-1

Mathematical Logic: Propositional Calculus: Statements and Notations, Connectives, Well Formed Formulas, Truth Tables, Tautologies, Equivalence of Formulas, Duality Law, Tautological Implications, Normal Forms, Theory of Inference for Statement Calculus, Consistency of Premises, Indirect Method of Proof, Predicate Calculus: Predicates, Predicative Logic, Statement Functions, Variables and Quantifiers, Free and Bound Variables, Inference Theory for Predicate Calculus.

Download UNIT-1 Material PDF

UNIT-2

Set Theory: Sets: Operations on Sets, Principle of Inclusion-Exclusion, Relations: Properties, Operations, Partition and Covering, Transitive Closure, Equivalence, Compatibility and Partial Ordering, Hasse Diagrams, Functions: Bijective, Composition, Inverse, Permutation, and Recursive Functions, Lattice and its Properties, Algebraic Structures: Algebraic Systems, Properties, Semi Groups and Monoids, Group, Subgroup and Abelian Group, Homomorphism, Isomorphism.

Download UNIT-2 Material PDF

UNIT-3

Combinatorics: Basis of Counting, Permutations, Permutations with Repetitions, Circular and Restricted Permutations, Combinations, Restricted Combinations, Binomial and Multinomial Coefficients and Theorems, Number Theory: Properties of Integers, Division Theorem, Greatest Common Divisor, Euclidean Algorithm, Least Common Multiple, Testing for Prime Numbers, The Fundamental Theorem of Arithmetic, Modular Arithmetic, Fermat’s and Euler’s Theorems

Download UNIT-3 Material PDF

UNIT-4

Recurrence Relations: Generating Functions, Function of Sequences, Partial Fractions, Calculating Coefficient of Generating Functions, Recurrence Relations, Formulation as Recurrence Relations, Solving Recurrence Relations by Substitution and Generating Functions, Method of Characteristic Roots, Solving Inhomogeneous Recurrence Relations

Download UNIT-4 Material PDF

UNIT-5

Graph Theory: Basic Concepts, Graph Theory and its Applications, Sub graphs, Graph Representations: Adjacency and Incidence Matrices, Isomorphic Graphs, Paths and Circuits, Eulerian and Hamiltonian Graphs, Multigraphs, Bipartite and Planar Graphs, Euler’s Theorem, Graph Colouring and Covering, Chromatic Number, Spanning Trees, Prim’s and Kruskal’s Algorithms, BFS and DFS Spanning Trees

Download UNIT-5 Material PDF


e-Resources:

Modules / Lectures

Text Books:

1) Discrete Mathematical Structures with Applications to Computer Science, J. P. Tremblay and P. Manohar, Tata McGraw Hill.

2) Elements of Discrete Mathematics-A Computer Oriented Approach, C. L. Liu and D. P. Mohapatra, 3rd Edition, Tata McGraw Hill.

3) Theory and Problems of Discrete Mathematics, Schaum’s Outline Series, Seymour Lipschutz and Marc Lars Lipson, 3rd Edition, McGraw Hill.

Reference Books:

1) Discrete Mathematics for Computer Scientists and Mathematicians, J. L. Mott, A. Kandel and T. P. Baker, 2nd Edition, Prentice Hall of India.

2) Discrete Mathematical Structures, Bernand Kolman, Robert C. Busby and Sharon Cutler Ross, PHI.

3) Discrete Mathematics, S. K. Chakraborthy and B.K. Sarkar, Oxford, 2011.

4) Discrete Mathematics and its Applications with Combinatorics and Graph Theory, K. H. Rosen, 7th Edition, Tata McGraw Hill.