1. Course Title: Calculus II 6501109)) Course Code:

2. Course Description 1. Topics to be Covered List of Topics No. of Weeks
List of Topics
No. of
Weeks
Contact Hours
Introduction
Integration: standard forms of indefinite integrals
Integration by substitution in indefinite integrals 2 6
Integration of rational algebraic fractions in indefinite integrals
Integration by parts in indefinite integrals
Properties of Definite Integrals
Integration by substitution in definite integrals
Integration of rational algebraic fractions in definite integrals 3 9
Integration by parts in definite integrals
More forms of definite Integrals
Matrices: Matrix Definition and Matrix types
Operations on matrices
Calculation of the determinant of matrix and inverse matrix.
Conic sections: parabola, ellipse and hyperbola.

3. Course Components
2. Course components (total contact hours and credits per semester): contact hours: 45 credit hours:3
Lecture
Tutorial
Laboratory
Practical
Office hours
Total
Contact Hours 45
Credit 3

4. 5 1 Midterm Written Exams 20% 2 Participation and attendance 10% 3
Assessment task (Tutorials, test, group discussion and presentation, examination.)
Proportion of Total Assessment 1
Midterm Written Exams
20% 2
Participation and attendance
10% 3
Assignment and presentation
30% 4
Final Written Exam
40% 5
Total
100%

5. Umm Al-Qura University
بسم الله الرحمن الرحيم
Umm Al-Qura University
Health Sciences College at Al-Leith
Department of Public Health
Lecture (1)

6. Integration

7. Objectives:
1/ The course will Provide students with basics of differential calculus and methods to apply them to mathematical relations related to the health sciences .
2/ Know Indefinite Integral of Functions.
3/ Define and Calculate Functions by using Power Rule for the Indefinite Integral.
4/ Show Different Rules of Indefinite Integral of Functions.

8. Indefinite Integral The expression:
read “the indefinite integral of f with respect to x,” means to find the set of all antiderivatives of f.
x is called the variable of integration
Integrand
Integral sign

9. Power Rule for the Indefinite Integral
Example:

10. Example

11. Constant Multiple Rule
Example:

12. Constant of Integration
Every antiderivative F of f must be of the form F(x) = G(x) + C, where C is a constant.
Example:
Represents every possible antiderivative of 6x.

14. Power Rule for the Indefinite Integral Indefinite Integral of ex

16. Example:

17. Example
Find

18. Sum and Difference Rules
Example:

22. Thanks
Radia