CALCULUS I

AIM

To teach fundamental math contents, methods and techniques, and its applications for the study of engineering. To provide supports on studies and researches in the area of engineering.

CONTENT

This course contains; Functions (General Review),Limits and Continuity,Limits and Continuity,Derivatives,Derivatives,Applications of Derivatives,Applications of Derivatives,Applications of Derivatives,Integration,Integration-Techniques of Integration,Applications of Definite Integrals,Applications of Definite Integrals,Transcendental Functions,Improper Integrals.

1. 1

   1. Interpret a function of one variable and its graph to solve the limit graphically, numerically and algebraically

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

2. 2

   2. Apply the notions of continuity and differentiability to algebraic and transcendental functions.

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

3. 3

   3. Compute derivatives of functions by using rules and carry out them in applications such as computing rates of change, finding extreme values, concavity and graphing.

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

4. 4

   4. Apply Fundamental Theorem of Calculus and integration techniques to compute proper integrals.

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

5. 5

   5. Use integration to compute area between curves and volume of a solid.

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

6. 6

   6. Calculate and compare the concept of proper and improper integrals.

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

WEEKLY PLAN

1. WEEK 1

   Functions (General Review)

   Preparation: Book chapter 1.1, 1.2, 1.5, 1.6

2. WEEK 2

   Limits and Continuity

   Preparation: Book chapter 2.1, 2.2, 2.3, 2.4

3. WEEK 3

   Limits and Continuity

   Preparation: Book chapter 2.5, 2.6

4. WEEK 4

   Derivatives

   Preparation: Book chapter 3.1, 3.2, 3.3, 3.4

5. WEEK 5

   Derivatives

   Preparation: Book chapter 3.5, 3.6, 3.7, 3.8,11.2

6. WEEK 6

   Applications of Derivatives

   Preparation: Book chapter 4.1, 4.2, 4.3, 4.4

7. WEEK 7

   Applications of Derivatives

   Preparation: Book chapter 4.4, 4.5

8. WEEK 8

   Applications of Derivatives

   Preparation: Book chapter 3.10, 4.6

9. WEEK 9

   Integration

   Preparation: Book chapter 5.1, 5.2, 5.3, 5.4

10. WEEK 10

    Integration-Techniques of Integration

    Preparation: Book chapter 5.5, 8.1, 8.2, 8.3, 8.4, 8.5

11. WEEK 11

    Applications of Definite Integrals

    Preparation: Book chapter 5.6, 6.1

12. WEEK 12

    Applications of Definite Integrals

    Preparation: Book chapter 6.2, 6.3

13. WEEK 13

    Transcendental Functions

    Preparation: Book chapter 7.1, 7.2

14. WEEK 14

    Improper Integrals

    Preparation: Book chapter 8.8

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
• Assist.Prof. Seçil TUNALI ÇIRAK
• Assist.Prof. Özge BİÇER ÖDEMİŞ
• Assist.Prof. Cem YETİŞMİŞOĞLU