This document outlines a course on Calculus and Analytical Geometry at the Islamia University of Bahawalpur. The 3 credit, 15 week course is taught by Ms. Iqra Javed and aims to provide students with a foundation in Calculus. Key topics covered include limits, derivatives, integrals, maxima and minima of functions, and critical points. Student assessment includes sessions exams, home assignments, quizzes, presentations, and a final exam. Reference materials and a lecture plan detailing the weekly topics are also provided.

1. The Islamia University of Bahawalpur
Department of Information Security
Course Outline: Calculus and Analytical Geometry
General Information:
Course: Mathematics – Calculus Instructor Ms. Iqra Javed
Course Code IS – 1201 Office
Credit Hours 3-0 Email Iqrajaved608@gmail.com
Contact Hours
2 lectures of one and 15
minutes, per week
Class BSIS Ist Semester
Course Objective: This course provides foundation and basic ground for Calculus.
Course Outcomes: Students who successfully complete the course unit and the assignments will
be able:
 Understand Calculus & Analytical Geometry, its connections and significance in other
areas of computer science.
 Expand many of the basic concepts to challenging upper-level courses
Teaching Methodology:
Lectures, Written Assignments, Presentations.
Course Assessment:
 Sessional Exam
 Home Assignments
 Quizzes
 Presentations
 Final Exam
Reference Materials:
1. Stewart J, Calculus (3rd
edition), 1995, Brooks/Cole(Suggested text)
2. Anton H, Bevens I, Devis S, Calculus: A New Horizon (8th
edition), 2005, John Wiley.
3. Calculus and Analytical Geometry 11th edition by Thomas Finny.
4. Swokowski EW, Calculus and Analytical Geometry, 1983, PWS-Kent Company.

2. Lecture Plan:
Topics Week Remarks
 Real number line
 Function and their graph
 Types of function
 Limit
 Different Techniques of finding limit
Week 1
 Limit
 Different Techniques for evaluating limits
Conitnuity
 Related exercise , continuity through graphs
Week 2
 Introduction of Derivative and their applications
 Product Rule
 Quotient Rule
 Chai function
Week 3,
quiz
 Differentiation of transcendental function
Week 4
 Differentiation of polynomial and Rational
function.
 Differentiation of transcendental function
Week 5
Quiz and revision 0f all slybus Week 5
Mid term Exams
Week 6
After mid term
Derivaties of exponential and logarithmic functions
 Maxima and minima of function
Introduction of Integration and its application
Week 7
 Integration of Algebraic function
 Practice Questions
 Integration of Trigonometric function
 Practices Exercise
Week 8,
Quiz
 Integration of exponential function
 Practices Exercise
 Definite and indefinite integral
 Exercise Question.
Week 9
 Integration of logarithmic function
 Increasing and decreasing function
 Practice Questions
Week 10, Quiz
 Quiz Week 11

3.  Presentation
 Critical points,
 Discuss Concavity of function graphically
 Concave up, Concave down interval, point of
inflection
Week 12
 Revision of all Final term slybus
 Quiz
Week 13sss