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Mathematics and Sciences

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MS1401 – Engineering Physics

Credit Hours: 3 + 1

Pre-requisite: None

Introduction:

An introductory course in Physics introducing the basic concepts in Physics that are required in various engineering courses at later stages.

Contents:

1. Measurements and units

Measurement errors, precision and accuracy, S.I. units.

2. Scalars and vectors

Vector notation, addition and subtraction of vectors, resolution and composition of vectors, unit vector base vectors, scalar and vector products.

3. Rectilinear mechanics:

Kinematics: Frame of reference, displacement, velocity and acceleration as time derivatives, kinematical

equations of motion, distance-time and velocity-time graphs.

Dynamics: Force and Newton’s laws of motion, linear momentum, impulse, law of conservation of linear

momentum, solid (/dry) friction.

4. Rotational mechanics:

Kinematics: Angular displacement, angular velocity, angular acceleration, kinematical equations of motion,

relation between linear and angular kinematical quantities.

Dynamics: Torque, moment of inertia, angular momentum, law of conservation of angular momentum.

5. Oscillations and waves:

Oscillations: Simple harmonic motion, mass connected to a spring, simple pendulum, phase angle.

Waves: Harmonic waves in one dimension, spatial/temporal phases, interference of two harmonic waves.

6. Fluid mechanics:

Statics: Ideal fluid, pressure in a fluid, Pascal’s principle, hydraulic lift, Archimedes principle.

Dynamics: Equation of continuity, Bernoulli’s equation.

7. Geometrical Optics:

Ray picture of light, types of transparent media, reflection, refraction and total internal reflection of light, thin lens formula, optical instruments.

8. Introduction to Quantum theory:

Quantization of energy, photon, particle nature of light, Compton effect, wave nature of matter, diffraction of electrons, wave particle duality and Bohr’s principle, Heisenberg’s uncertainty principle.

Text Book and References:

·         D. Halliday, R. Resnick, J. Walker, Fundamentals of Physics Extended, 8th edition.

·         H. D. Young, R. A. Freedman, A. L. Ford, F. W. Sears, Sears and Zemansky’s university physics: with modern physics, 11th ed.

MS1302 – Calculus

Credit Hours: 3 + 0

Pre-requisite: None

Introduction:

Introductory course of calculus for applications in Engineering.

Contents:

Differential Calculus

Introduction to functions, graphs, limits and continuity. Derivatives as a limit , Basic laws of differentiation, chain rule and implicit differentiation. Derivative as a slope and as a rate of change; tangent and normal, critical points, maxima, minima and point of inflection; optimization. Taylor and Maclaurin series and convergence, L’ Hopital rule and mean value theorem.

 

Integral Calculus

Integral as anti-derivative, basic formulas and tables, indefinite and definite integrals. Methods of integration: substitution, by parts and partial fractions. Definite integral as limit of a sum, application to area, mean values and volume of solids of revolution. Polar coordinates, simple curves, graphs and area of plane figures ; parametric curves, arc length and surface of a solid of revolution.

 

Text Book and References:

·         G.B Thomas, Calculus

·         Peter Kuhfittig, Basic Technical Mathematics with Calculus

·         Strauss, Bradley and Smith, Calculus

 

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MS1303 – Linear Algebra

Credit Hours: 3 + 0

Pre-requisite: None

Introduction:

Elementary course in linear algebra.

Contents:

Introduction to complex numbers, geometrical representation and simple mathematical operations; polar and exponential forms, DeMoivre’s theorem, powers and roots. Vectors in space, dot and cross products. Introduction to matrices and determinants , simple mathematical operations and special matrices. Simple row operations; Gauss elimination , echelon form , rank, linear independence and system of linear equation ; Gauss-Jordan elimination , matrix inversion and Cramer rule.

Vector spaces: introduction , basis and dimensions; isomorphic spaces and linear transformations. Inner products, Gram- Schmidt process and orthogonalization. Eigen values , eigen vectors and diagonalization of a matrix ; quadratic forms.

 

Text Book and References:

·         David C. Lay , Linear Algebra and its Applications

·         E. Kreyszig, Advanced Engineering Mathematics

·         Zill & Cullen, Advanced Engineering Mathematics

·         Kenneth Hardy, Linear Algebra for Engineers and Scientists Using MATLAB

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MS1304 – Differential Equations and Transforms

Credit Hours:  3 + 1

Pre-requisite:

Calculus

Introduction:

MS1304 introduces differential equations, transform techniques and Fourier series to engineering students. It helps the students to develop skills and the ability to think quantitatively and analyze problems critically.

Contents:

Introduction to ordinary linear differential equations: formulation, order, degree and linearity of differential equation. First order differential equations; second order homogenous and non homogenous differential equations with constant coefficients, complimentary, particular solutions and method of undetermined coefficients; variation of parameters and  Cauchy-Euler differential equation;  initial- and boundary-value problems; solution in series.  Introduction to Laplace transformation, Laplace transform of simple functions and tables; Laplace inversion by partial fractions and convolution, application to initial value problems. Introduction to unit step and delta functions, Laplace transform of   discontinuous, periodic and discrete phenomena.

Introduction to periodic functions and Fourier series, half range Fourier series,  Fourier integrals and transforms  of simple functions. Introduction to partial differential equations and method of separation of variables.

Text Book and References:

·         Zill & Cullen, Differential Equations

·         E. Kreyszig, Advanced Engineering Mathematics

·         Zill & Cullen, Advanced Engineering Mathematics

·         Stephen Goode, Differential equations and Linear algebra

 

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MS2305 – Complex Variables and Multi-Variable Calculus

Credit Hours:  3 + 1

Pre-requisite:

Calculus

Introduction:

The course equips students with the notions, techniques and results required in many specialized areas of engineering sciences e.g. electromagnetics and fluid mechanics.

Contents:

Complex variable

Introduction to Complex variable and complex functions; analytic functions, Cauchy-Riemann equations, derivatives, orthogonal and harmonic properties of conjugate functions. Introduction to Complex integration: contour integration and Cauchy integral theorems; poles, residues and residue theorem; evaluation of improper integrals.

 

Multivariable Calculus

Multivariable integration and application to simple problems of area and volume. Scalar and vector fields; Del operator, gradient, divergence, curl, Laplacian and vector differential calculus. Line, surface and volume integrals; Green, Stokes and Gauss theorems; simple application.

 

Text Book and References:

·         E. Kreyszig, Advanced Engineering Mathematics

·         Zill & Cullen, Advanced Engineering Mathematics

 

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MS4307 – Numerical Methods

Credit Hours:  3 + 0

Pre-requisite:

Differential Equations and Transforms

Introduction:

The course equips students with the notions, techniques and results required in many specialized areas of engineering sciences e.g. electromagnetics and fluid mechanics.

Contents:

Introduction to numerical methods and estimation of errors. Non linear algebric equations, Newton-Raphson, secant and Regula falsi methods; system of linear equations and LU method; Eigen values and Eigen vectors by power method. Calculus of finite differences and interpolation (equal and unequal intervals); curve fitting by least squares. Numerical differentiation, numerical integration by trapezoidal, Simpson and Gauss rules; solution of  first order ordinary differential equations  by Euler and Runge – Kutta methods; system of linear differential equations.  Introduction to numerical solution of partial differential equations.

Text Book and References:

·         Curtis F. Gerald , Applied Numerical Analysis

·         Steven C. Chapra and Raymond P. Canale, Numerical Methods for Engineers

·         John H. Mathews, Numerical Methods for Mathematics, Science and Engineering

 

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Management Sciences

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MG3301 – Engineering Project Management

Credit Hours: 3 + 0

Pre-requisite: None

Introduction: The course provides students with an understanding of managing and conducting Engineering Projects along with knowledge and awareness of the tools required to do so.

Contents:

1.       Introductory Engineering Economics

Brief concepts of engineering economics; consumer and producer goods; measure of economic worth; direct, indirect and overhead cost; time value of money; depreciation.

 

2.       Project Management

Definition of a project; necessity of project management; project manager and project team; project life cycle; management areas and five processes; Stakeholders and Matrix of importance; Organizational breakdown structure; Project selection; preliminary financial analysis.

 

3.       Project Scope and Work Breakdown Structure

Project scope and charter; issues related to clarity; Work breakdown structure; link with the

 

4.       Time Management & Planning

Activity chart; Activity on node (AON) and activity on arrow (AOA); estimation of completion time; critical path, Gantt charts; Project fast tracking; project crashing.

 

5.       Cost and Time Management

Direct and indirect methods to estimate costs; top down and bottom up approach; resource scheduling; Budget constraints and contingencies; Project control cycle; Milestone tracking; Earned value analysis; cost and schedule estimation; CPI and SPI.

6.       Quality Management

Definition of quality; quality movement; quality management concepts; cot of quality; quality control tools; statistical tools; scatter diagram; Pareto analysis; six sigma.

 

7.       Human Resource Management

Human behavior; motivation & theories; Role of project manager; characteristic traits.

 

8.       Risk Management

Risk management process; risk evaluation – history, Delphi technique, SWOT; Risk impact matrix; Probability of failure and consequence of failure; Risk scoring; risk response and mitigation

9.       Procurement Management

Procurement; plan and conduct procurement; contract types; penalty clauses; arbitration

 

10.    Communication Management

Communication process; number of channels; barriers to communication; coding and decoding; internal factors effecting communication; meetings.

 

11.    Project Closure

Elements of closure management; lessons learnt; probable reasons for project failure; emotional and intellectual issues; claims and disputes; final report.

Text Book and References: J K Pinto, Project Management, Pearson, 2009

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MG4302 – Technology Entrepreneurship

Credit Hours:  3 + 0

Pre-requisite:

None

Introduction:

MG4302 covers the fundamental issues related to starting and managing technology-based new ventures. The course encourages students to consider how technology-based solutions can solve economic and socially oriented problems.  The students learn the process technology entrepreneurs use to start companies. It involves taking a technology idea and finding a high-potential commercial opportunity, gathering resources such as talent and capital, figuring out how to sell and market the idea, and managing rapid growth

Contents:

1.       Introduction to Entrepreneurship

 

2.       Opportunity Identification

Describing the value proposition, Framework for opportunity assessment, Evaluating a business idea

3.       Pre-launch Considerations

The legal protection of Intellectual property, The legal form of an organization, The impact of financing models on business evolution, Assembling human resources.

4.       Marketing

Market research for entrepreneurs (market size, opportunity, segment, competitive advantage, product positioning, pricing), Disruptive versus sustaining innovations, Business models, Brand management.

5.       Sales Management

Designing and organizing a sales force, Account management, Expansion of sales team.

6.       Growth of a Sustainable Business

Corporate culture, Team work/dynamics, Keeping employees, Leadership and management.

7.       Product Development

Taking the technology from the lab to the market place, Product development process, Resources issues

 

Text Book and References:

 

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Social Sciences

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HS1101 – Leadership and Motivation

Credit Hours: 1 + 0

Pre-requisite: None

Introduction:

The course is designed to help students develop leadership qualities, character, self-discipline and integrity along with a vision oriented mindset with an ability to manage their time efficiently and effectively to achieve their short and long term goals/visions in life.

Contents:

1. Improving personal effectiveness

2. Vision and Purpose

3. Role models and Inspiration

4. Team Building

 

Text Book and References:

Seven Habits of Highly Effective Teens by Sean Covey

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HS1102 – Community Service

Credit Hours:  0 + 1

Pre-requisite: None

Introduction:

The majority of the world lives below poverty line or above it. In Pakistan that’s around 60-70% of the population. This is the oppressed class deprived of the resources to fulfill their basic needs like food, shelter, health care, education etc. Some of them out of desperation indulge in street crime, prostitution, drugs, target killing, etc as the bigger fish in the society uses them for their own advantage. The remaining 30% if want to live in a stable society must feel the responsibility to enable the deprived ones to get of this desperation by helping them in a sustainable way. This is their moral, religious (Muslim, Christian, Hindu etc), social responsibility as if you don’t try to extinguish the fire then the same fire can harm you and your loved ones as well some day. By understanding the problems of the masses, an educated, civilized, sensitive person gets motivated to utilize his skill set to solve that problem.

Objective of the course is to make a social intervention and practically solve a problem for a destitute and desperate family in a sustainable way so that they remain hopeful that there are still good people in this society, who can care for them. Class discussion will focus on philosophical aspects of this course and to inculcate a service oriented mindset among the student through discussions.

Contents:

Poverty and the root cause, ● social responsibility, ● politics of poverty, ● what engineers can do to help? ● Are there bigger problems then poverty? ● If you are not part of the solution then you are part of the problem, ● butterfly effect, ● Ideological background of modern technology and its social consequences, ● Career choices in the light of social responsibility, ● Tech. Ideas on TED.com and their relevance to Pakistani circumstances. Etc.

Project: Identify a needy family through references who is financially challenged; help them establish a small business like French fries, burger stall, pop corn, vegetable, or fruit cart, tailoring business etc by raising funds from neighbors, friends, relatives etc. Getting funds from your own family members like father, mother, brother or sister, isn’t allowed.

Presentations: There will be three presentations (a) one in the 2nd week in which students will present the details of the needy family they have identified and proposed solution along with the budget (b) at the time of midterm in which students will explain solution they have implemented for the family (c) in the last class in which students will explain the impact which their solution has brought. Each presentation represents a project milestone.

Text Book and References:

 

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HS4206 – Professional and Social Ethics

Credit Hours:  2 + 0

Pre-requisite: None

Introduction:

Market and social forces are rewriting the roles and responsibilities of businesses. Though the profit motive of business is understood and accepted, people do not accept it as an excuse for ignoring the basic norms, values, and standards of being a good citizen. Modern businesses are expected to be responsible stewards of community resources working toward the growth and success of both their companies and their communities.

 

Since Engineers are very much part of the society and any organization, so as a professional they are obligated to fulfill their responsibility towards the society in professional and ethical terms. Hence learning professional ethics in a way becomes mandatory for engineers so that they can play their due role as a professional towards the society.

Contents:

  1. Human values
  2. Engineering Ethics
  3. Engineering as Social Experimentation
  4. Safety, Responsibilities and Rights
  5. Global Issues

 

Text Book and References:

·         A Text Book on Professional Ethics and Human Values by R. S. Naagarazan.

 

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Culture

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HS4306 – Pakistan and Islamic Studies

Credit Hours:  3 + 0

Pre-requisite: None

Introduction:

A course to recall the students about ideology of Pakistan and its relation to Islam

Contents:

Introduction to Quranic studies: Basic concepts of Quran, history of Quran, uloom-ul –Quran, study of selected text of Holy Quran. Seerat of Holy Prophet (S.A.W), Introduction to Sunnah, selected study from text of Hadith. Introduction to Islamic Law & Jurisprudence. Islamic culture & civilization. Islam & science. Islamic economic system. Political system of Islam. Islamic history. Social system of Islam. Historical perspective: Ideological rationale with special reference to Sir Syed Ahmed, Khan, Allama Muhammad Iqbal and Quaid-i-Azam Muhammad Ali Jinnah. Factors leading to Muslim separatism. People and land: Indus civilization, Muslim advent, location and geo-physical features. Government and politics in Pakistan: Political and constitutional phases: 1947-58, 1958-71, 1971-77, 1977-88, 1988-99, 1999 onward. Contemporary Pakistan: Economic institutions and issues, society and social structure, ethnicity, foreign policy of Pakistan and challenges. Futuristic outlook of Pakistan.

 

Text Book and References:

 

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English

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HS1303 – English I (Proficiency Development)

Credit Hours:  3 + 0

Pre-requisite: None

Contents:

Introduction to English in 21st century, Introduction to diversity in English language learning (four skills), International Phonetic Alphabets (vowels and diphthongs), International Phonetic Alphabets (consonants), Using language for everyday functions, Language to socialize with others, English for comparing different aspects of life, Using comparative skills for making decisions, English for advice/obligation/ suggestion/ directions/ etc. English for skills, possibility, likelihood, and decisions, Language to associate people with objects, Specifying the objects through language, English for estimation for measurement, English for explaining quality of people and objects, Expressing ideas, hopes imagination, opinions, etc., Language to request, ask, direct, offer, Written language to communicate ideas to people, Using higher-order thinking skills into writing, Different types of communicative writings, Practicing writing in class, Producing writing for communication, Critical thinking and writing in today’s world, Peer assessment for writings produced in class, How to use language in a formal setting (office, classroom, airport), Role-play to groom interpersonal skills, Language-in-real-life Project -listening- (polishing all the learning), How to polish language skills, reflection on overall learning and setting goals.

Text Book and References:

 

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HS2304 – English II (Public Speaking)

Credit Hours:  3 + 0

Pre-requisite: English I (Proficiency Development)

Contents:

Introduction; How to use and express important functions of language as a social activity, in social situations, How to master fluency and listening as social activity, How to master fluency and listening as social activities, Talking of wishes and hypotheses in present/ future, Presenting and elaborating an argument in discussion, Language to solve problems in real-life situations, Using language in groups and necessary skills for it, , How to argue, elaborate, and negotiate meanings in groups, Share, assess, and respect each other’s social values, Language to agree/disagree and exchange opinions,, Accuracy and role of communicative competence, How to compare situations, people, and/or ideas, Expressing hypothetical past and wishes for real-life tasks, Analyzing talks and finding out the nature of language, Evaluating level of individual learning and setting goals, Basics of academic explanatory writing in 2nd language, Structure of academic explanatory writing in 2nd language, How to increase and organize background knowledge, How to construct an argument in writing an essay, application, etc., Peer assessment for writings produced in class (its importance in real life), Writing on a serious social issue and presenting argument Language-in-real-life project – speaking – (focus on all the learning), Language-in-real-life Project -listening- (focus on all the learning), Integration of all the skills (discussion, debate, or presentation), How to become aware of global trends in English language, Reflection on overall learning and setting goals for next course..

 

Text Book and References:

 

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HS3305 – English III (Official Communication and Report Writing)

Credit Hours:  3 + 0

Pre-requisite: None

Contents:

Introduction to Classroom Learning (Goals,  Objectives, Purpose), Seven Cs of business communication, Practicing Seven Cs, Organizing ideas for writing focusing on main idea, Organizing ideas for writing focusing on main idea, Language and other skills for job interview (difference between formal and informal English), Understanding the job market and preparing for interview (the essentials), Simulation for Job interview and analysis 1, Simulation for Job interview and analysis 2, Simulation for Job interview and analysis 3, CV and Cover Letter (the basics) Standard formats and style, Practicing cover letter in class (input on style, language, form, and punctuation), Discussion on assignment and feedback on CL writing, 1)Tailor-making CV and Cover Letter for specific job adverts. 2) How to write minutes of a meeting, Speaking effectively in a meeting: language use, meta-language skills, structure, and turn-taking, Speaking effectively in a meeting (Time management, turn-taking, grabbing or leaving the floor, conveying your meaning), Simulation for meeting and analysis 2 (up to 15 members), Simulation for meeting and analysis 3 (up to 15 members), Writing a complaint letter (format, language, style, target-audience), Discussion on assignment and feedback on CL writing, Writing a memorandum (basics of a memo), Discussion on assignment and feedback on Memo writing, Writing a Sales Letter, Discussion on assignment and feedback on SL writing, Use of positive language in professional setting (choice or words, tone, and, Offering questions and handling questions effectively On-job, Final discussion/brainstorming/reflection on learning, Language for complaints, suggestions, recommendations in a professional environment, Link between language and motivational discourse at work, Final review of the course, feedback, discussion, inquiries, reflection on overall learning

 

Text Book and References:

 

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