MM102 : General Mathematics 2

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

03

Prerequisite

MM101

Overview

This course provides the student with the basic concepts of non -algebraic functions, as it deals with the graph and the properties and finding derivatives for these functions, and this course aims at developing the student's ability to find limited and unlimited integration of algebraic and non -algebraic functions, as well as knowing the properties of unlimited integration, and the course also aims at Enhancing students' skills in finding the integration of real algebraic functions, and non-algebraic and using integration methods.

The course focuses on the ways to find the integration of real, algebraic and non-algebraic functions and integration applications.

Intended learning outcomes

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

1. Learn about the real non -algebraic functions with a single variable and the reverse functions.

2. Find out the end, contact, and the ability to derive these functions and the rules of finding their derivatives and graphic them.

3. Determine the limited integration (Ryman's integration).

4. Explain the concept of integration as a counter -process of differentiation and the basic theory of complementarity and differentiation.

5. Enumerate the methods of integration for algebraic and non-algebraic functions, integration applications and its uses in other sciences.

6. Explain the properties and how the graphic representation of the real non -algebra.

7. Compares between the algebraic functions and non-algebraic functions and explain the relationship between the luxury and the logarithmic function.

8. Provide a Proof to some of the properties of limited integration (Ryman's integration)

9. Explain the Concept of integration as a counter -process of differentiation.

10. Distinguish between appropriate integration methods in order to find out the integration of functions.

11. Analyzes the graphic representation of non -algebraic functions.

12. Solve a number of exercises and issues with more than one idea about the derivative and integration of algebraic and non-algebraic functions.

13. Give solutions to new, different and multiple problems to find out derivative and integrate functions

14. Use the rules of integration to find out or discover the integration of algebraic and non-algebraic functions.

15. Apply the partial fragmentation method and triangular compensation for the integration of functions.

16. Draw and represent graphs of real non-algebraic functions.

Teaching and learning methods

1. Theoretical lectures

2. Discussion and dialogue

3. Brainstorm

4. Using mathematical proof methods

5. Exercises, and multi-idea problem solving

Methods of assessments

1. A written exam (essay + objective) = 25 marks, or its assessment is left to the course instructor.

2. Short tests (written or oral), demonstration tasks, applications, exercises, and presentation = 15 marks or left to the course instructor.

3. Written final exam (essay + objective) = 60 marks.

Course content

Week	Scientific subject	Hours	Lecture	Exercises
1	Exponential function	4	Ö	Ö
2	logarithmic function	4	Ö	Ö
3	Inverse trigonometric functions	4	Ö	Ö
4	Hyperbolic functions	4	Ö	Ö
5	First midterm exam
5-6	Inverse hyperbolic functions	6	Ö	Ö
7	Limited integration	4	Ö	Ö
8	Indefinite integration and the fundamental theorem of calculus	4	Ö	Ö
9	Integration methods (compensation method)	4	Ö	Ö
10	Second midterm exam
10	Integration Methods (Fragmentation Method)	2	Ö	Ö
11	Partial fractions method	4	Ö	Ö
12	Trigonometric substitution method	4	Ö	Ö
13	Integration of some special trigonometric functions	4	Ö	Ö
14	Integration applications	4	Ö	Ö
15-16	Final Exam
	Total	56

References

Reference	Publisher	Release	Author	located
Basic principles of mathematics	National Research Center	1998	Dr.. Zawam Dallah Dr.. Kamal Abu Deyyeh Abdulmutallab Omar	Department library

Arabic language 1 (AR103)
Linear Algebra 1 (MM105)
Planar and Analytical Geometry (MM103)
Quranic Studies 1 (AR101)
computer 1 (CS100)
General Mathematics 1 (MM101)
General English1 (EN100)
Fundamentals of Education (EPSY101)
General Psychology (EPSY 100)
Introduction to Statistics (ST101)
Quranic studies2 (AR102)
Aerospace Engineering (MM114)
General Mathematics 2 (MM102)
Linear Algebra (2) (MM215)
Developmental Psychology (EPSY 203)
General Teaching Methods (EPSY 201)
General English2 (EN101)
Computer 2 (CS101)
Introduction to the science of Probabilities (ST102)
Arabic language 2 (AR104)
Basics Of Curriculums (EPSY 202)
Mathematical Logic (MM317)
Educational Psychology (EPSY 200)
Arabic language 3 (AR105)
Ordinary Differential Equations 1 (MM202)
Static (MM206)
General Mathematics3 (MM211)
Ordinary Differential Equations 2 (MM311)
Vector analysis (MM214)
Mathematical statistics (ST202)
Set Theory (MM213)
Arabic language 4 (AR106)
Research Methods (EPSY301)
Measurements and Evaluation (EPSY 302)
Methods of teaching mathematics (MM208)
Teaching learning Aids (EPSY 303)
Word processing (CS 202)
Psychological Health (EPSY 401)
School mathematics 1 (MM309)
Complex Analysis 1 (MM305)
Real Analysis 1 (MM303)
Dynamics (MM207)
Abstract Algebra 1 (MM302)
Complex Analysis 2 (MM306)
School mathematics2 (MM310)
Real Analysis 2 (MM304)
Abstract Algebra 2 (MM403)
Numerical Analysis (MM308)
measurement theory (MM410E)
Integral equations (MM409E)
Operations Research (MM408E)
History of Mathematics (MM407E)
Functional Analysis (MM406E)
linear programming (MM405E)
Partial Differential Equations (MM401)
Teaching applications (MM400)
Graduation project (MM404)
Teaching Practice (EPSY 402)