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B.E Computer Science and Engineering 2018-2019 Semester-I 18BECS101 Mathematics-I 4H-4C (Calculus and Linear Algebra

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B.E Computer Science and Engineering 2018-2019 Semester-I 18BECS101 Mathematics-I 4H-4C (Calculus and Linear Algebra B.E Computer Science and Engineering 2018-2019 Semester-I 18BECS101 Mathematics-I 4H-4C (Calculus and Linear Algebra for Computer Science Engineers) Instruction Hours/week: L:3 T:1 P:0 Marks: Internal:40 External:60 Total:100 End Semester Exam:3 Hours COURSE OBJECTIVES: The objective of this course is to familiarize the prospective engineers with techniques in basic calculus and linear algebra. It aims to equip the students with standard concepts and tools at an intermediate to advanced level that will serve them well towards tackling more advanced level of mathematics and applications that they would find useful in their disciplines. To develop the use of matrix algebra techniques that is needed by engineers for practical applications. To acquaint the student with mathematical tools needed in evaluating integrals and their usage. To make the student acquire sound knowledge of techniques in solving ordinary differential equations that model engineering problems. To make the student to solve various Engineering problems. COURSE OUTCOMES: The students will learn: To apply differential and integral calculus to notions of curvature and to improper integrals. Apart from various applications, they will have a basic understanding of Beta and Gamma functions. Fluency in integration using standard methods, including the ability to find an appropriate Method for a given integral. The essential tools of matrices and linear algebra including linear transformations, Eigenvalues and diagonalization. To apply differential and integral calculus to notions of curvature and to improper integral and proper integrals. To solve the system of linear algebraic equations. To analyze and evaluate the basic concepts of mathematics like matrix operation, vector spaces and calculus. UNIT I - Matrices (9) Matrices, vectors: addition and scalar multiplication, matrix multiplication; Linear systems of equations, linear Independence, rank of a matrix, determinants, Cramer’s Rule, inverse of a matrix, Gauss elimination and Gauss-Jordan elimination. Simple problems using Scilab. UNIT II - Vector spaces (9) Vector Space, linear dependence of vectors, basis, dimension; Linear transformations (maps),range and kernel of a linear map, rank and nullity, Inverse of a linear transformation, rank nullity theorem, composition of linear maps, Matrix associated with a linear map. UNIT III - Vector spaces (9) Eigen values, eigenvectors, symmetric, skew-symmetric, and orthogonal Matrices, Eigen bases. Diagonalization; Inner product spaces. UNIT IV - Calculus (9) Evolutes and involutes; Evaluation of definite and improper integrals; Beta and Gamma functions and their properties; Applications of definite integrals to evaluate surface areas and volumes of revolutions. UNIT V - Calculus (9) Taylor’s and Maclaurin theorems with remainders; indeterminate forms and L'Hospital's rule; Maxima and minima. Total Hours: 60 TEXT BOOKS: 1. G.B. Thomas and R.L. Finney, Calculus and Analytic geometry, 9th Edition,Pearson, (2002). 2. Erwin kreyszig, Advanced Engineering Mathematics, 9th Edition,John Wiley & Sons, (2006). 3. Veerarajan T, Engineering Mathematics for first year,Tata McGraw-Hill, New Delhi, (2008). REFERENCES: 1. Hemamalini. P.T, Engineering Mathematics, McGraw Hill Education (India) Private Limited, New Delhi, .(2014). 2. Ramana B.V, Higher Engineering Mathematics, 11th Reprint, Tata McGraw Hill New Delhi, (2010). 3. D. Poole, Linear Algebra: A Modern Introduction, 2nd Edition, Brooks/Cole, (2005). 4. N.P. Bali and Manish Goyal, A text book of Engineering Mathematics, Laxmi Publications, (2008). 5. B.S. Grewal, Higher Engineering Mathematics, 35th Edition, Khanna Publishers, (2000). 6. V. Krishnamurthy, V.P. Mainra and J.L. Arora, An introduction to Linear Algebra, Affiliated East–West press, (2009) WEBSITES: 1) https://www.coursera.org/learn/linear-algebra-machine-learning 2) https://www.edx.org/learn/linear-algebra 3) https://nptel.ac.in/courses/111106051/ B.E Computer Science and Engineering 2018-2019 Semester-I 18BECS102 English 4H-3C Instruction Hours/week: L:2 T:0 P:2 Marks: Internal:40 External:60 Total:100 End Semester Exam:3 Hours COURSE OBJECTIVES To enable students to attain fluency and accuracy to inculcate proficiency in professional communication to meet the growing demand in the field of Global communication. To help students acquire their ability to speak effectively in real life situations. To inculcate the habit of reading and to develop their effective reading skills. To ensure that students use dictionary to improve their active and passive vocabulary. To enable students to improve their lexical, grammatical and communicative competence. To improve the student’s communication skill at interview level. COURSE OUTCOMES Upon completion of this course, the students will be able to: Effectively use English language for communication: verbal & non –verbal. Express comprehension and acquisition of speaking & writing ability. Improve the student confidence in using English language in real life situations. Develop word power: lexical, grammatical and communication competence. Prepare the students to write business letters and other forms of technical writing. Demonstrate the students to prepare for oral communication in formal contexts. Unit I -Basic Writing Skills (9) Sentence Structures - Use of phrases and clauses in sentences - Importance of proper punctuation - Creating coherence- Organizing principles of paragraphs in documents - Techniques for writing precisely Unit II - Vocabulary Building (9) The concept of Word Formation - Root words from foreign languages and their use in English - Acquaintance, with prefixes and suffixes from foreign languages in English to form derivatives. - Synonyms, antonyms, and standard abbreviations. Unit III - Grammar and Usage (9) Subject-verb agreement - Noun-pronoun agreement - Misplaced modifiers – Articles – Prepositions – Redundancies – Clichés Unit IV - Listening and Reading Skills (9) Note taking- viewing model interviews – listening to informal conversations – improving listening / reading comprehension – reading model prose / poems – reading exercise. UnitV.-Writing Practices (9) Comprehension - Précis Writing - Essay Writing Listening Comprehension - Common Everyday Situations: Conversations and Dialogues - Communication at Workplace – Interviews - Formal Presentations. Note: Students shall have hands on training in improving listening skill in the language laboratory @ 2 periods per each unit. Total Hours: 45 TEXT BOOKS: 1. Sangeeta Sharma, Meenakshi Raman, Technical Communication: Principles and Practice, 2nd Edition, OUP, New Delhi, (2015), 2. Sanjay Kumar and Pushpa Lata, Communication Skills, Oxford University Press, (2011), REFERENCES: 1. Liz Hamp - Lyons and Ben Heasly, Study Writing, Cambridge University Press, (2006). 2. F.T. Wood.,Remedial English Grammar, Macmillan, (2007). 3. Michael Swan, Practical English Usage, OUP, (1995), WEBSITES: 1) https://nptel.ac.in/courses/109106067/ 2) https://www.edx.org/learn/english 3) https://www.coursera.org/browse/language-learning/learning-english B.E Computer Science and Engineering 2018-2019 Semester-I 18BECS141 Semi- Conductor Physics 7H-5C (Theory & Lab.) Instruction Hours/week: L:3 T:1 P:3 Marks: Internal:40 External:60 Total:100 End Semester Exam:3 Hours (i) Theory COURSE OBJECTIVES: To understand the fundamentals of quantum physics and their applications. To inculcate the characteristics of electronic materials through basics. To divulge knowledge on the basics of semiconducting materials for diode applications. To introduce the features of light interaction with semiconductor for optoelectronic applications. To impart the basic knowledge of new semiconducting materials for engineering applications. To understand the features of low dimensional materials for engineering field. COURSE OUTCOMES: Upon completion of this course, the students will be able to Develop the idea of quantum mechanics through applications. Apply the concepts of quantum theory for various methodologies. Explain the basic ideas of classical electron theory and energy band structures. Illustrate the basics of semiconductor physics and its applications in various electronic devices. Identify the basic properties and functioning of optical materials for optoelectronics. Summarize the features of low dimensional materials for engineering applications. Unit 1 - Quantum Mechanics (9) Introduction to quantum theory, merits of quantum theory, black body radiation, laws of blackbody radiation, dual nature of matter and radiation, de Broglie wavelength, uncertainty principle, Schrodinger’s wave equation, time dependent and time independent equations, physical significance of wave function, particle in one dimensional box , degenerate and non-degenerate states, scanning electron microscope. Unit 2 - Electronic materials (9) Free electron theory, energy band diagrams, Bloch theorem -Kronig-Penny model (to introduce origin of band gap), Energy bands in solids, Direct and indirect bandgaps, Types of electronic materials: metals, semiconductors and insulators, density of states, occupation probability, Fermi level, effective mass, phonons. Unit 3 - Semiconductors (9) Intrinsic and extrinsic semiconductors, Dependence of Fermi level on carrier-concentration and temperature (equilibrium carrier statistics), carrier generation and recombination, Carrier transport: diffusion and drift, p-n junction, metal-semiconductor junction (Ohmic and Schottky). Unit 4 - Light-semiconductor
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