COMSATS Institute of Information Technology
Abbottabad
Course Outline – Semester Spring 2023
Course Title:
Course Code:
CAG
MTH-104
Classes:
BCS-2
Prerequisites: FSC Pre-Engineering
Total Credit Hours:
03 hours/week
Lectures Credit Hours:
03 hours/week
Total Contact Hours:
03 hours/week
Lecture Contact Hours:
03 hours/week
Office Hours (Day, time and place): (Monday -- Friday, 8 am-12 pm, Math. Deptt.)
Course Objectives and Outcomes:
The main objective of Calculus and Analytic Geometry for students is to continue
learning the basics of the calculus of functions of one variable. They will study functions,
their types, limit and continuity of a function, derivatives, rate of change, chain rule, the
concepts and techniques of integration, maxima and minima for the function of one
variable and its applications.
Ultimate Objectives:
Calculus is the mathematics of change, this is a basic mathematics study that allows one
to solve a great many problems. The overall objectives of calculus are to understand
mathematical ideas with a depth and flexibility that allows students to apply it in their
discipline. The students should be able to interpret the concepts of Calculus algebraically,
graphically and verbally. More generally, the students will improve their ability to think
critically, to analyze a problem and solve it using a wide array of tools. Students must
understand the principles of both their discipline and the calculus, be able to translate
situations in their discipline into mathematical models, have the knowledge and skill to
solve problems in the model, and then be able to translate mathematical solutions back
into your discipline.
Text Book:

Calculus by Swokowski, Olinick and Pence, 6th Edition.
Reference Book:



Calculus by Howard Anton
Calculus by Thomas and Finney
Calculus Concepts and Contents by James Stewart
Assessment Plan:





Homework and Assignments (Minimum 4):
Quizzes (Minimum 4):
Midterm:
Final (Terminal) Examination:
Total
10 % of the Grade
15 % of the Grade
25 % of the Grade
50 % of the Grade
100%
Tentative Lectures schedule:
Week 1
Introduction, Real Numbers System, Intervals, Absolute values
Week 2
Week 3
Inequalities, Plane, Graphs, Circle, Line
Functions, Types of Functions, Even and Odd Function, Composition of
Functions, Concept of Limit, One Sided Limits, Limit at a Point
Techniques of Evaluating Limits, Limits Involving Infinities
Continuity, Discontinuity, Removable, Jump and Infinite Discontinuities,
Motivation for Derivatives, Rate of Change, Derivative, Geometrical
Meaning of the Derivative, Techniques of Differentiation
Derivative of Trigonometric Functions, Chain Rule of Differentiation
Differentiation of Implicit Functions, Increasing Function, Decreasing
Function
Extrema, First Derivative Test, Concavity, Second Derivative Test,
Midterm, Anti-derivatives, Indefinite Integrals
Basic Rules of Integration, Change of Variables
Summation Notation, Definition of Definite Integrals, Area and Definite
Integrals,
Fundamental Theorems of Calculus, Area, Arc Length,
Inverse of a Function, Differentiation and Integration of Logarithmic and
Exponential Functions, Inverse Trigonometric Functions
L’Hospital’s Rule, Complex Numbers and Their Properties,
Complex Plane, Polar Form of Complex Numbers, De Moivre’s Theorem
Weak 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Week 13
Week 14
Week 15
Week 16
Assessment Plan: (Quizzes, Assignments, Tests etc. With starting and submission dates where applicable)
Monday 03-04-2023: (1 Assignment & 1 Quiz)
Monday 17-04-2023: (2 Assignment & 2 Quizzes)
Monday 12-06-2023: (3 Assignment & 3 Quizzes)
Monday 26-06-2023: (4 Assignment & 4 Quizzes)