MM211 : General Mathematics3

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Compulsory

Credits

04

Prerequisite

MM102MM114

Overview

This course introduces students to the basic concepts of functions in two or more variables and their derivatives. It also deals with multiple integrals, infinite sequences and series. This course also aims to develop the student's ability to find the double and triple integral.

Intended learning outcomes

By the end of the course, the student should be able to: 1. Recognize the real functions with two or more variables, the existence of the limit, the connection, the derivability of these functions, the rules for finding their derivatives, and represent them graphically. 2. Show the double integral of functions with two variables. 3. Explain the concept of triple integral and how to find it. 4. Distinguish series and sequences and methods of finding their limits and their convergence. 5. Determine how to graph real functions with two or more variables 6. Demonstrate some partial and total derivatives of multivariate functions. 7. Interpret the applications of double integration

8- Analyze and evaluate his knowledge of triple integration methods. 8. Compare infinite series and sequences and methods of their convergence.

9. Graphing real functions with two or more variables 10. Solve a number of exercises and problems with more than one idea about the derivative and integration of multivariate functions 11. Give solutions to new, different and multiple problems to find the double integral of functions with two variables 12. Use Cartesian, spherical, and cylindrical transformations in the double and triple integration of multivariable functions. 13. Find a convergence of infinite series and sequences.

14- Draw and represent graphically real functions with two or more variables.

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	Number of Hours	Lecture	exercises
1	function in two or more variables	4	3	1
2	Graphing a function in two or more variables	4	3	1
3	Limits and connections of functions in two or more variables	4	3	1
4	Partial and macro derivation	4	3	1
5	First Midterm
5-6	Partial and macro derivatives applications	6	4	2
7	double integration	4	3	1
8	Triple integration	4	3	1
9	Change the order of integration	4	3	1
10	Second Midterm
10	The use of cylindrical and spherical axes in integration	2	2	-
11	Sequences and series	4	3	1
12	Infinite Sequences and Series	4	3	1
13	End of infinite series and sequences	4	3	1
14	Convergence of infinite series and sequences	4	3	1
15-16	Final Exam
	Total	56

References

ReferenceTitle	Publisher	Copy	Author	Location
Calculus Part 2	Al Tahadi University	1993	Dr. Ramadan Jhema Dr. Ahmed Mahab Alreeh	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)