Al Imam Muhammad Ibn Saud Islamic University
College of Science
Basic Sciences & General Engineering Courses
Course Information
Course Code, Number
& Name
MATH 106, Calculus II
Total Credit hours: 4 Cr. Hrs
Prerequisite/s
MATH 105
Time, Days & Hall
Groups 1/5: Sunday: 1st & 2nd hours (SR-3050)/ Thursday: 1st hour (SR3040).
Groups 2/6: Sunday: 3rd & 4th hours (SR-3050)/ Wednesday: 3rd & 4th
hours (SR-3151)/ Thursday: 5th hour (SR-3147).
Instructor
Dr Brahim CHAOURAR
Office Location & Tel
Third floor (SR 92)
E-mail
Imchaourar@imamu.edu.sa or bchaourar@hotmail.com
Internal server
\\10.10.70.70
Teaching Assistant
Groups 1/5:
Office hours
Tuesday: 1st & 2nd hour/ Wednesday: 3rd & 4th hours.
(01)2581590
Version for Academic Year 2013/2014 – 2nd semester
Course Description
All techniques of integration (substitution, by parts, trigonometric substitutions, partial
fractions, miscellaneous substitutions.. etc.). Infinite series such as Taylor's theorem. conic
sections, and polar coordinates.
Course Objectives
1.
Learn the intuitive approach of the proper and improper integrals and techniques to
evaluate such integrals.
2. Understanding the concept of sequences and series by applying the theorems that define
the main properties (convergence/divergence/limit).
3. To demonstrate the ability to plot polar coordinates, to switch from polar coordinates to
Cartesian coordinates and from Cartesian coordinates to polar coordinates. And
demonstrate the definitions of conics (parabolas, ellipses, and hyperbolas).
Textbook
Title
Calculus, Early Transcendental Functions,3rd ed., by Smith and Minton
Author
Smith and Minton
Publisher
McGraw-Hill
Year & Edition
2007, 3rd ed.,
Extra Useful Resources
1. Any calculus book can be used as a reference.
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Course Content
Weeks
1-2
3-4
5-6
7-8
9-10
11-12
13-14
Topics to be covered
Review the Formulas and Techniques; Integration by Substitution in
Definite Integrals.
Integration by Parts. Trigonometric Techniques of Integration.
Integration of Rational Functions Using Partial Fractions. Integrals
involving logarithmic, exponential, and hyperbolic functions
Numerical integration. Improper Integrals.
Sequences of real numbers, convergence, divergence of infinite sequences;
Infinite series.
Convergence tests of positive series (ratio test, root test, p-series test,
comparison and limit comparison tests).
Alternating series;
Absolute and conditional convergence; Power series.
Volume: Slicing, Disks and Washers,
Arc Length; Area of Surface of Revolution
Plane curves and parametric equations;
Calculus and Parametric Equations
Arc length and Surface Area in Parametric Equations;
Polar coordinates.
Functions of Several Variables;
Limits and Continuity.
Partial Derivatives, the total derivative, the gradient and directional
derivatives
Double Integrals in Cartesian coordinates;
Triple Integrals in Cartesian coordinates.
Assessment Methods
Assessment Type
Date
Weight %
First Exam
At the end of the 6th week
20
Second Exam
At the end of the 11th week
20
Quizzes & Home works
At the end of each chapter
20
Final Exam
At the end of the semester as per the university schedule
Total
40%
100%
Policy
Attendance
Regular attendance is expected. Student should notify the instructor for
any planned absence. University regulations regarding absence will be
strictly applied.
Students Conduct
Students should adhere to the academic integrity and ethics. Cheating is
absolutely not tolerated. University regulations will be enforced and applied on
any student who do or try cheating.
Students’ works
Will be assigned with their due times during lectures. Late works will not be
accepted. All students’ works will be corrected, graded, handled back to
students and discussed further in the class upon their return.
The students need to do many exercises in order to be able to understand how to solve
different types of differential equations.
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