ISHIK UNIVERSITY
FACULTY OF EDUCATION
Department of MATHEMATICS EDUCATION,
2018-2019 Spring
Course Information for MATH 206 ADVANCED CALCULUS II

Course Name: ADVANCED CALCULUS II
CodeCourse typeRegular SemesterTheoreticalPracticalCreditsECTS
MATH 206244255
Name of Lecturer(s)-Academic Title: Jamal Gaderov -
Teaching Assistant:-
Course Language:English
Course Type:Main
Office Hours 8:45- 17:00
Contact Email:[email protected]

Tel:07507285243
Teacher's academic profile:MSc
Course Objectives:The aim of this course it to establish modern mathematical ideas and calculations on the basic subjects of calculus. The main purpose is to make clear and more understandable to the previous calculus contents. Moreover, this course aims to contribute an understanding on advanced application of derivative and integration in math and in the other sciences.
Course Description (Course overview):Functions of several variables, their limits, derivatives and integrals, directional derivatives, gradient, vector-valued functions, divergence and curl, Taylor's theorem, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green's theorem
COURSE CONTENT
WeekHour              Date              Topic
1 4 3-7/2/2019 Tangents and slopes. Differentiable functions.
2 4 10-14/2/2019 Tangents and slopes. Differentiable functions.

3 4 17-21/2/2019 Derivative of elementary functions. Derivative rules.
4 4 24-28/2/2019 Derivative of elementary functions. Derivative rules.

5 4 3-7/3/2019 Extreme of functions. Monotonicity of functions. First derivative test
6 4 26-28/3/2019 Extreme of functions. Monotonicity of functions. First derivative test

7 4 31/3-4/4/2019 Mean Value Theorem, Rolle’s theorem. Generalized Mean Value Theorem
8 4 7-11/4/2019 Mean Value Theorem, Rolle’s theorem. Generalized Mean Value Theorem

9 4 14-18/4/2019 Midterm Exam
10 4 21-25/4/2019 Indefinite integral. Calculations of indefinite integral

11 4 28/4-2/5/2019 Indefinite integral. Calculations of indefinite integral
12 4 5-9/5/2019 Finite sums. Summation notation and properties.

13 4 12-16/5/2019 The Definite integral. Fundamental Theorem of Calculus
14 4 19-23/5/2019 The Definite integral. Fundamental Theorem of Calculus

15 4 26-30/5/2019 Application of definite integral. Areas and Volumes
16 4 9-13/6/2019 Final Exam

17 4 16-20/6/2019 Final Exam
COURSE/STUDENT LEARNING OUTCOMES
1Differential Calculus
2Integral Calculus
3Analogue of these conceptions in real life
COURSE'S CONTRIBUTION TO PROGRAM OUTCOMES
(Blank : no contribution, I: Introduction, P: Profecient, A: Advanced )
Program Learning Outcomes Cont.
1Demonstrate an understanding of the common body of knowledge in mathematics.P
2Demonstrates an understanding of pedagogical content knowledge, technology and perfectible assessment.A
3Demonstrate the ability to think critically, research scientifically, and become modern and up-to-date.
4Understands the interrelationship of human development, cognition, and culture and their impact on learning.
5Demonstrate the ability to apply analytical and theoretical skills to model and solve mathematical problems.A
6Demonstrate the ability to effectively use a variety of teaching technologies and techniques and classroom strategies to positively influence student learning.A
7Understands how to form connections among educators, families, and the larger community to promote equity and access to education for his/her students.
8Understands assessment and evaluation of student performance and learning and program effectiveness.P
9Communicates effectively and works collaboratively within the context of a global society.
Prerequisites (Course Reading List and References):Analysis books
Student's obligation (Special Requirements):Do homework and exercises
Weekly Laboratory/Practice Plan:
WeekHour              Date              Topics
1 2 3-7/2/2019 Examples and Exercises on differentiable functions.
2 2 10-14/2/2019 Examples and Exercises on differentiable functions.

3 2 17-21/2/2019 Examples and Exercises on Derivative rules.
4 2 24-28/2/2019 Examples and Exercises on Derivative rules.

5 2 3-7/3/2019 Examples and Exercises on extreme of functions
6 2 26-28/3/2019 Examples and Exercises on extreme of functions

7 2 31/3-4/4/2019 Examples and Exercises in Mean Value, Rolle’s Theorem
8 2 7-11/4/2019 Examples and Exercises in Mean Value, Rolle’s Theorem

9 2 14-18/4/2019 Examples and Exercises on Indefinite integrals. Integration by parts, substitutions
10 2 21-25/4/2019 Examples and Exercises on Indefinite integrals. Integration by parts, substitutions

11 2 28/4-2/5/2019 Examples and Exercises on limit of finite sums.
12 2 5-9/5/2019 Examples and Exercises on limit of finite sums.

13 2 12-16/5/2019 Examples and Exercises on definite integral
14 2 19-23/5/2019 Examples and Exercises on definite integral

15 2 26-30/5/2019 Examples and Exercises on calculation of areas and volumes
16 2 9-13/6/2019 Examples and Exercises on calculation of areas and volumes

17 2 16-20/6/2019 Examples and Exercises on calculation of areas and volumes
Course Book/Textbook:Thomas Calculus, Robert Adams Complete Calculus Course
Other Course Materials/References:Boards, MArkers
Teaching Methods (Forms of Teaching):Lectures, Excersises, Self Evaluation, Project
COURSE EVALUATION CRITERIA
MethodQuantity Percentage (%)
Participation110
Quiz110
Homework110
Midterm Exam(s)130
Final Exam140
Total 100

Examinations: Essay Questions, Short Answers, Matching
Extra Notes:



ECTS (ALLOCATED BASED ON STUDENT) WORKLOAD
ActivitiesQuantityDuration (Hour)Total Work Load
Contact Hours (Theoretical hours + Practical hours/2) x Weeks0
Hours for off-the-classroom study0
Study hours for the Midterm Exam0
Study hours for the Final Exam0
Other0
ECTS0
0
0
Total Workload 0
ECTS Credit (Total workload/25)0

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Lecturer                                                                      Head of Department                                                        Dean