First Semester

Credit Hours- 3-0

Objective

To learn fundamentals of algebra & calculus

Contents

Basic set theory: Complex numbers: Cartesian and polar form, De Moivre’s theorem, roots, exponential, trigonometric, hyperbolic and logarithmic functions’, complex powers.

Matrices: square matrices, determinants, reduced echelon form, rank, eigen-values, eigen-vectors, Markov processes, mass transient problem, forecasting of weather and develop the solution of system of differential equations for mechanical systems/electrical systems/agricultural/civil engineering especially in public health engineering problem, linear transformation, modeling and solution of system of linear equations.

Vector spaces: group, subgroup, ring, field, vector space, subspace, linear independent and linearly dependent set of vectors, spanning set, basis for a vector space and its applications in engineering.

Differential calculus: limit, continuity, derivative, total differential, higher order differentiation, tangent and normal, Taylor series, Maclaurin series, extreme values, 1st and 2nd derivative test, point of inflection and its applications in business and engineering.

Integral calculus: limit of sum, Riemann integration, evaluating integrals, definite integrals, area under a curve and other applications of integration.

Suggested Readings:

1.      Kreyszig, E. 2000. Advanced Engineering Mathematics, Ed. 8th, John Wiley and Sons, New York.

2.      Yusuf, S.M. and M. Amin. 2002. Mathematical Methods, IlmiKitabKhana, Kabir Street Urdu Bazar, Lahore

3.      Thomas, G.B. and R. L. Finney. Calculus and Analytical Geometry, 2002, Ed.9th Roohani Press, Islamabad.

b.             Use of drawing instruments and materials,

c.              Basic Tools, Lines: Types, configuration and application, Selection of line thickness

2.              Lettering, Numbering and Dimensioning

a.              Vertical and inclined single stroke letters,

b.             Lettering types and rules,

c.              Dimension lines, projection lines, leaders or pointer lines,

d.             Arrow heads, Dimensioning,

3.              Geometric Construction

a.              Drawing simple geometric objects (polygon, pentagon and hexagons etc.).

4.              Orthographic Projections of different Solids

5.              Orthographic Projections of Machine Elements

a.              Rivets, Nut and bolts,

b.             Different kinds of threads,

c.              Lap and butt joints, Flange couplings,

d.             Journal bearing,

e.              Open bearing,

f.               Footstep bearing,

g.             Crankshaft,

h.              Bearings

COURSE LEARNING OUTCOMES:

Upon successful completion of the course, the student will be able to:

Text and Reference books:

1.              D Bhatt, Engineering Drawing and Graphics, BSPublications.

2.              B. Wiebe and M. Mohler ,Technical Graphics Communication, McGraw-Hill

3.              W. Abbot, Practical Geometry & Engineering Graphics,Springer.

4.              F. M. Craft, F. D. Meyers, E. T. Boyer and M. J. Miller and J. T. Demel, Engineering Graphics, John Wiley &Sons.

5.              G.    R.    Bertoline   and   E.    N.   Wiebe,   Technical   Graphics Communication; McGraw-Hill.

6.              D.F. Rogers and J.A. Adams; Mathematical Elements forComputer Graphics,McGraw-Hill.

7.              C. Parkinson, A First Year Engineering Drawing, Sir Isaac Pitman &Sons.

8.              R.LalandR.Rana,ATextbookofEngineeringDrawing:Alongwith an Introduction to AutoCAD, I K International PublishingHouse.

9.              T.Jeyapoovan,EngineeringDrawingandGraphicsUsingAutoCAD, VikasPublishing.

10.           Z. A. Siddiqui, M. Ashraf and S. A. Siddiqui. Basics of Engineering Drawing, M/S TechnicalPublishers.

11.           D. A. Jolhe, Engineering Drawing with an introduction to AutoCAD, Tata McGraw-HillEducation.