CALCULUS II

AIM

To teach fundamental math contents, methods and techniques, and its applications for the study of Engineering.

CONTENT

This course contains; Techniques of Integration,Techniques of Integration,Techniques of Integration,Infinite Sequences and Series,Infinite Sequences and Series,Infinite Sequences and Series,Infinite Sequences and Series,Parametric Equations and Polar Coordinates,Parametric Equations and Polar Coordinates,Vectors and Geometry of Space,Vectors and Geometry of Space,Partial Derivatives,Partial Derivatives,Introduction to Multiple Integrals.

1. 1

   1. Explain infinite series, power series.

   Taught by: Problem Solving Method, Self Study Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

2. 2

   2. define the concepts of Three-Dimensional Coordinate Systems.

   Taught by: Problem Solving Method, Self Study Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

3. 3

   3. Interpret the concepts of limit, continuity, derivative and integral in functions of several variables.

   Taught by: Problem Solving Method, Self Study Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

4. 4

   4. summarize the rules of partial derivation.

   Taught by: Problem Solving Method, Self Study Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

5. 5

   5. explain and define Multiple Integrals.

   Taught by: Problem Solving Method, Self Study Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

6. 6

   6. calculate integral using variable changing, partial integration and simple fraction decomposition methods.

   Taught by: Problem Solving Method, Self Study Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

WEEKLY PLAN

1. WEEK 1

   Techniques of Integration

2. WEEK 2

   Techniques of Integration

3. WEEK 3

   Techniques of Integration

4. WEEK 4

   Infinite Sequences and Series

5. WEEK 5

   Infinite Sequences and Series

6. WEEK 6

   Infinite Sequences and Series

7. WEEK 7

   Infinite Sequences and Series

8. WEEK 8

   Parametric Equations and Polar Coordinates

9. WEEK 9

   Parametric Equations and Polar Coordinates

10. WEEK 10

    Vectors and Geometry of Space

11. WEEK 11

    Vectors and Geometry of Space

12. WEEK 12

    Partial Derivatives

13. WEEK 13

    Partial Derivatives

14. WEEK 14

    Introduction to Multiple Integrals

ASSESSMENT

• Rate of Midterm Exam to Success30%
• Rate of Final Exam to Success70%

WORKLOAD

READING

• Thomas’ Calculus, 12th ed., G. B. Thomas, Jr. and M. D. Weir and J. Hass, Addison-Wesley

TEACHING STAFF

• Assist.Prof. Özge BİÇER ÖDEMİŞCOORDINATOR
• Prof.Dr. Cemil TUNÇ