F11_MTS101_Calculus1

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=MTS101 Calculus-1=

Program:
BS(CS)

Semester:
Fall 2011

Instructor:
Abdul Majid

**Course Lead:**
H. bin Zubair

**Credit Hours:**
3 credit hours

Prerequisite(s):
College standard algebra and trigonometry.

Course Description:
This is a 3 credit hour course designed for an undergraduate degree in Computer Science. This course is normally offered to freshmen and therefore requires college standard algebra and trigonometry skills to build on. This course covers functions, limit, continuity, derivative, integration and some of their physical applications. The course is imparted using through usual classroom lectures with modern multimedia teaching aids.

Course Objectives:
We expect that at the end of the course successful students will have learnt the following:
 * Familiarity with the basic real number properties and precise definition of function
 * The idea of limit and continuity
 * Precise definition of derivative and direct rules of differentiation for algebraic and transcendental function
 * Application of derivative that includes finding Max and min of physical functions
 * Idea of definite integral as area under the curve
 * Relation between definite integrals and indefinite integrals by mean of the Fundamental Theorem of Calculus
 * Techniques of integration
 * How to resolve indeterminate forms

Course Text
Required Text: Thomas' Calculus 11th edition Reference Books:
 * Calculus by Howard Anton
 * Calculus by Gilbert Strang

Web Resources:
Any web resources that may be used during the course.
 * [|http://ocw.mit.edu]
 * www. **khanacademy **.org/

Grading Policy:
Quizzes 20% Term-I 20% Term-II 20% Final 40%


 * ==**Topics Covered in the Course **== ||
 * S.No || Date of the lecture || Topic of Lecture || Articles ||
 * 1 || Sep 7,2011 || Real Numbers || 1.1 1.2 ||
 * 2 || Sep 14, 2011 || Functions and their Graphs || 1.3 1.5 ||
 * 3 || Sep 20, 2011 || Rates of Change and Limit || 2.1 ||
 * 4 || Sep 21, 2011 || Concept of limit ||  ||
 * 5 || Sep 27, 2011 || One sided limit and limit at infinity || 2.4, 2.5 ||
 * 6 || Sep28, 2011 || Continuity || 2.6 ||
 * 7 || Oct 4, 2011 || Tangents and Derivatives || 2.7 ||
 * 8 || Oct 5, 2011 || Derivative as a Functions and Differentiation Rules || 3.1, 3.2 ||
 * 9 || Oct 11, 2011 || Derivative as a Rate of Change and Derivative of Trigonometric Functions || 3.3, 3.4 ||
 * 10 || Oct 12, 2011 || The Chain Rule and Implicit Differentiation || 3.5, 3.6 ||
 * 11 || Oct 12, 2011 || Related Rates || 3.7 ||
 * 12 || Oct 25, 2011 || Linearization and Differentials || 3.8 ||
 * 13 || Oct 26, 2011 || Extreme Values of the Function || 4.1 ||
 * 14 || Nov 1, 2011 || The Mean Value Theorem || 4.2 ||
 * 15 || Nov 2, 2011 || Monotonic Function and First Derivative Test || 4.3 ||
 * 16 || Nov 15, 2011 || Second Derivative Test, Point of Inflection and Concavity || 4.4 ||
 * 17 || Nov 16, 2011 || Indeterminate Forms and L'Hopital Rules || 4.6 ||
 * 18 || Nov 22, 2011 || Antiderivatives || 4.8 ||
 * 19 || Nov 23, 2011 || Reimann Sums and Definite Integrals || 5.3 ||
 * 20 || Dec 7, 2011 || The Fundamental Theorem of Calculus || 5.4 ||
 * 21 || Dec 13, 2011 || Indefinite Integrals and Substitution Rules || 5.5 ||
 * 22 || Dec 14, 2011 || Substitution and Area between the Curves || 5.6 ||
 * 23 || Dec20, 2011 || Volume by Slicing and Rotation About an Axis ||  ||
 * 24 || Dec21, 2011 || Inverse Functions their Derivatives and Natural Logarithm || 7.1, 7.2 ||
 * 25 || Dec 21, 2011 || Exponential Function and Inverse Trigonometric Functions || 7.3, 7.4, 7.7 ||
 * 26 || Dec 24, 2011 || Basic Integration formulas || 8.1 ||
 * 27 || Dec 28, 2011 || Integration by Parts || 8.2 ||
 * 28 || Dec 28, 2011 || Other Techniques of Integration || 8.4, 8.5 ||