- Teacher: Aamir Hussain

- Teacher: Farhan gul

- Teacher: Aqeela Raza

Course Code: MATH 102

Course Title: Calculus II

Credit Hours: 3 + 0

Integration and Definite Integrals

Techniques of evaluating indefinite integrals

Integration by substitutions, Integration by parts

Change of variable in indefinite integrals

Definite integrals, Fundamental theorem of calculus

Reduction formulas for algebraic and trigonometric integrands

Improper integrals, Gamma functions

Applications of Integration

Asymptotes.

Relative extrema, points of inflection and concavity

Singular, points, tangents at the origin

Graphing of Cartesian and polar curves

Area under the curve, area between two curves

Arc length and intrinsic equations

Curvature, radius and center of curvature

Involute and evolute, envelope

Sequence and Series

Sequences, Infinite series, Convergence of sequence and series

The integral test, Comparison tests, Ratio test, Root test

Alternative series, Absolute and conditional convergence

Power series, Interval and radius of convergence

Recommended Books

1. Thomas, Calculus, 11th Edition. Addison Wesley publishing company, 2005

2. H. Anton, I. Bevens, S. Davis, Calculus, 8th Edition, John Wiley & Sons, Inc. 2005

3. Hughes-Hallett, Gleason, McCallum, et al, Calculus Single and Multivariable, 3rd Edition.

John Wiley & Sons, Inc. 2002.

4. Frank A. Jr, Elliott Mendelson, Calculus, Schaum’s outlines series, 4th edition, 1999

5. C.H. Edward and E.D Penney, Calculus and Analytics Geometry Prentice Hall, Inc. 1988

6. E. W. Swokowski, Calculus and Analytic Grometry PWS Publishers, Boston,

Massachosetts, 1983

- Teacher: SAYED FAROOQ AHMED SHAH

- General Concept of Probability.
- Random Experiment.
- Sample Space and sample points.
- Event; Types of Event.
- Mutually Exclusive.
- Equally likely.
- Exhaustive.
- Compliment.
- Dependent and Independent.
- Rules for Counting the Sample Points.
- Multiplicative rule.
- Permutation and Combination.
- Definition of Probability.
- Axioms of Probability.
- Probability as a set function.
- Addition Theorem of Probability (ATP).
- Conditional Probability.
- Multiplicative Theorem of Probability (MTP). Bayes’ Theorem (BT).
- Proofs and application of ATP, MTP and BT.
- Random Variable (RV).
- Probability Distribution and Probability Density Function.
- Mean or Expected value and variance of RV.
- Probability Distributions.
- Binomial.
- Poisson.
- Hyper geometric.
- Uniform.
- Normal.
- Introduction to probability
- Roussas, George Published by : Elsevier Academic Press (USA) Physical details: xii, 387 p. : ill. ; 24 cm. ISBN: 0120885956 (pbk).
- A first course in probabilityby Ross, Sheldon Edition statement:9th ed. Published by : Pearson Education (New Delhi) ISBN: 9789332519077
- Introduction to the theory of statisticsby Mood, Alexander M. | Franklin A. Graybill | Duane C. BOES Edition statement:3rd ed. Published by : McGraw Hill (New Delhi) ISBN: 0070445206

- Teacher: Sidra sidra hafeez

**Business
Communication**

**Introduction to Communication Skills**

· Understanding of Business Communication

· Various types of Communication In Business

· Verbal and Non-verbal Communication Skills

**Written Communication**

· Letter, Minutes, Memo

**Oral Communication**

· Interviews,

· Conducting meetings,

· Art of presentation Speaking,

· Verbal and Non-verbal aspect of Delivery,

· body language,

· Golden Rules for the Presenter

- Teacher: SADIA ASLAM