رياضيات 1

MODULE DESCRIPTION FORM

نموذج وصف المادة الدراسية

Module Information معلومات المادة الدراسية
Module Title	Calculus I				Module Delivery
Module Type	Support				☒ Theory Lecture Lab ☒ Tutorial ☐ Practical ☐ Seminar
Module Code	GPPE103
ECTS Credits	6
SWL (hr/sem)	150
Module Level		UGx11 1	Semester of Delivery				1
Administering Department		GPPE	College	COGE
Module Leader	Name: Moataz Sajid Sharqi		e-mail	E-mail moataz.sajid@buog.edu.iq
Module Leader’s Acad. Title		Ass. Lec.	Module Leader’s Qualification				MSc.
Module Tutor	Name (if available)		e-mail	E-mail
Peer Reviewer Name		Name	e-mail	E-mail
Scientific Committee Approval Date		01/06/2023	Version Number			1.0

Relation with other Modules

العلاقة مع المواد الدراسية الأخرى

Prerequisite module

None

Semester

Co-requisites module

None

Semester

Module Aims, Learning Outcomes and Indicative Contents

أهداف المادة الدراسية ونتائج التعلم والمحتويات الإرشادية

Module Objectives

أهداف المادة الدراسية

To master algebraic topics introduced in precalculus and trigonometry.
To understand limits and investigate some of their basic properties.
To understand the basic relationship between tangent lines, rates of change, and the derivative.
To master the techniques of differentiation.
To become familiar with the standard applications of the derivative in physics, engineering.
To become familiar with parts of the theoretical framework that are appropriate at this level

Module Learning Outcomes

مخرجات التعلم للمادة الدراسية

Know the importance of mathematics in most of the oil and gas engineering problems
To have an awareness of the basic concepts of theoretical mathematics in Calculus,
have a broad knowledge, and a basic understanding and working knowledge of each of the subtopics,
have gained confidence in approaching and applying calculus to novel problems.
Recognize the concepts of functions and their graphs
Understand the limit and continuity concepts
Understand the differentiation concepts
Solve many applications of differentiation like velocity and acceleration and average velocity
Select appropriate technique for intended problem
Identify formulate and solve gas processes and petrochemical engineering problems

Indicative Contents

المحتويات الإرشادية

Functions: Domain and range, graphs, inverse of functions, [6 hrs.] algebraic functions (real valued function; constant function; absolute value function; piecewise function; rational function), [3 hrs.] transcendental functions (Trigonometric functions; Inverse of trigonometric functions; Exponential functions; Logarithmic functions), hyperbolic functions and their inverse [12 hrs.].

Limits and continuity: Limit of a function and limit laws, Sandwich theorem, definition of limit, one sided limit, Continuity, Limit involving infinity [15 hrs.].

Differentiations: Tangents and derivative at point, derivative of algebraic functions, derivative of transcendental functions, chain rule and implicit differentiation, differentiations of hyperbolic functions. [12 hrs.]

Applications of differentiations: Maximum and Minimum values, mean value theorem [6 hrs.]; Roll’s theorem, the shape of a graph, L’Hopital’s rule, [6 hrs.] velocity and acceleration, average velocity [6 hrs].

Indefinite integration and definite integration [6 hrs.]

Learning and Teaching Strategies

استراتيجيات التعلم والتعليم

Strategies

Developing the student's ability to adopt the mathematical problem and solve it accurately and quickly.
Developing the student's ability to devise new methods for solving mathematical problems in line with the progress and development in this field.
Develop the student's ability to link the theoretical side of the subject with the practical side and search for a clear ground for application

Student Workload (SWL)

الحمل الدراسي للطالب محسوب لـ ١٥ اسبوعا

Structured SWL (h/sem)

الحمل الدراسي المنتظم للطالب خلال الفصل

Structured SWL (h/w)

الحمل الدراسي المنتظم للطالب أسبوعيا

Unstructured SWL (h/sem)

الحمل الدراسي غير المنتظم للطالب خلال الفصل

Unstructured SWL (h/w)

الحمل الدراسي غير المنتظم للطالب أسبوعيا

Total SWL (h/sem)

الحمل الدراسي الكلي للطالب خلال الفصل

150

Module Evaluation تقييم المادة الدراسية
As		Time/Number	Weight (Marks)	Week Due	Relevant Learning Outcome
Formative assessment	Quizzes	2	10% (10)	5 and 10	LO #1, #2 and #10, #11
	Assignments	2	10% (10)	2 and 12	LO #3, #4 and #6, #7
	Projects / Lab.	1	10% (10)	Continuous	All
	Report	1	10% (10)	13	LO #5, #8 and #10
Summative assessment	Midterm Exam	2hr	10% (10)	7	LO #1 - #7
Summative assessment	Final Exam	3hr	50% (50)	16	All
Total assessment			100% (100 Marks)

Delivery Plan (Weekly Syllabus) المنهاج الاسبوعي النظري
Week	Material Covered
Week 1	Domain and range, graphs, inverse of functions
Week 2	algebraic functions (real valued function; constant function; absolute value function; piecewise function; rational function)
Week 3	transcendental functions (Trigonometric functions; Inverse of trigonometric functions; Exponential functions; Logarithmic functions)
Week 4	hyperbolic functions and their inverse
Week 5	Limit of a function and limit laws
Week 6	Sandwich theorem, definition of limit, one sided limit
Week 7	Mid-term Exam + Continuity, Limit involving infinity
Week 8	Tangents and derivative at point, derivative of algebraic functions
Week 9	derivative of transcendental functions, chain rule and implicit differentiation
Week 10	differentiations of hyperbolic functions
Week 11	Maximum and Minimum values, mean value theorem
Week 12	Complex Frequency, s-Plane, Poles and Zeros, Response Function, Bode Plots
Week 13	Roll’s theorem, the shape of a graph
Week 14	L’Hopital’s rule, velocity and acceleration, average velocity
Week 15	Indefinite integration and definite integration
Week 16	Preparatory week before the final Exam

Delivery Plan (Weekly Lab. Syllabus) المنهاج الاسبوعي للمختبر
Week	Material Covered
Week 1	None
Week 2	None
Week 3	None
Week 4	None
Week 5	None
Week 6	None
Week 7	None

Learning and Teaching Resources مصادر التعلم والتدريس
	Text	Available in the Library?
Required Texts	Joel Hass, Maurice D. Weir, Frank R. Giordano, Calculus Thomas, 11th Edition, Addison- Wesley, 2005.	Yes
Recommended Texts	Anton H., Bivens I., Davis S., Calculus, 7th eddition, 2002.	No
Websites

Grading Scheme مخطط الدرجات
Group	Grade	التقدير	Marks %	Definition
Success Group (50 - 100)	A - Excellent	امتياز	90 - 100	Outstanding Performance
	B - Very Good	جيد جدا	80 - 89	Above average with some errors
	C - Good	جيد	70 - 79	Sound work with notable errors
	D - Satisfactory	متوسط	60 - 69	Fair but with major shortcomings
	E - Sufficient	مقبول	50 - 59	Work meets minimum criteria
Fail Group (0 – 49)	FX – Fail	راسب (قيد المعالجة)	(45-49)	More work required but credit awarded
Fail Group (0 – 49)	F – Fail	راسب	(0-44)	Considerable amount of work required

Note: Marks Decimal places above or below 0.5 will be rounded to the higher or lower full mark (for example a mark of 54.5 will be rounded to 55, whereas a mark of 54.4 will be rounded to 54. The University has a policy NOT to condone "near-pass fails" so the only adjustment to marks awarded by the original marker(s) will be the automatic rounding outlined above.

رياضيات 1

Calculus I

Support

GPPE103

6

150