MM112 : General Mathematics 2

Department

Department of Chemistry

Academic Program

Bachelor in Chemistry

Type

University requirement

Credits

03

Prerequisite

MM111

Overview

This course provides students with basic concepts of non-compulsory functions. It also addresses the graph, properties and the derivative of these functions. This course aims to develop the student's ability to create limited and unlimited integration of compulsory and non-compulsory sums, as well as knowledge of unlimited complementarities. The course also aims to enhance students' skills in finding the integration of real, compulsory and non-compulsory functions and the use of integration methods. The course focuses on ways to find the integration of compulsory and non-compulsory real functions and integration applications.

Intended learning outcomes

At the end of the course, the student must be able to:

1- recognizes the true non-algebraic functions with a single variable and the reverse functions have the existence of end, connection, derivability of these functions and rules of finding their derivatives and represents them graphically.

2- Determines limited integration (Reimann integration) .

3- Explains the concept of integration as a reverse process of differentiation and the basic theory of integration and differentiation. .

4- lists the integration methods of compulsory and non-compulsory functions and applications of integration and its uses in other sciences. .

5- Explains the characteristics of and how the graphic representation of real non-compulsory functions .

6- Compares algebraic and non-algebraic functions and explains the relationship between exponential and logarithmic functions.

7- Demonstrate some limited complementarities (Reimann integration) .

8- The concept of integration is interpreted as an inverse process of differentiation.

9- Distinguishes between appropriate integration methods to find function integration.

10- Analyses and discusses the graphic representation of non-algebraic functions .

11- Resolves a number of exercises and issues with more than one idea of derivative and integration of compulsive and non-compulsive functions.

12- Gives solutions to new, different and multiple problems to find derivative and integrating functions.

13- Uses integration rules to find the integration of compulsive and non-compulsive functions.

14- The fragmentation method applies partial fractures and trigonometric compensation for function integration.

15- Graphically charts and represents real non-algebraic functions.

Teaching and learning methods

The course will be presented to the student through:

1. Lectures

2. Panel discussions and dialogue (to resolve issues and problems)

3. Research and Survey

Methods of assessments

Methods of evaluating students in this course (class work 40% & final 60%)

Class work: First Half Written Examination (20) Second Half Written Examination (20) Final written examination (60)

Main Contents of the Course

Main Contents of the Course
Scientific topics	Week	Readings / References / Notes
Exponential Function	1
Logarithmic function	2	Training in small groups
Reverse trigonometric functions	3
Hyperbolic functions	4
Reverse hyperbolic functions	5	Training in small groups
Limited Integration	6	Training in small groups
Unlimited integration and basic theory of differentiation and integration	7	Training in small groups
Integration methods (compensation method)	8
Integration methods (fragmentation method)	9
Partial fracture method	10
Triangular Compensation Method	11
Integration of certain special trigonometric functions	12	Training in small groups
Integration Applications	13	Training in small groups
Integration Applications	14

References

Author	Version	Address Publisher	Reference
D. Zawam Dallah D. Kamal Abu Diya " Mr. D.dulmalib Omar	1998	National Research Centre	Basic Principles of Mathematics

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