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MAT806 - Genel Matematik - II

Instructor: Araş.Gör.Enes İbrahim Düden
Teaching Assistants:
Course Book: Robert A. Adams and Christopher Essex, Seventh Edition
Grading:
Other Resources:
Course Outline:
1. Week

Chapter 5

5.1 Sums and Sigma Notation

5.2 Areas as Limits of Sums

5.3 The Definite Integral

5.4 Properties of the Definite Integral

5.5 The Fundamental Theorem of Calculus

5.6 The Method of Substitution

5.7 Areas of Plane Regions


2. Week

Chapter 6

6.1 Integration by Parts 

6.2 Integrals of Rational Functions

6.3 Inverse Substitutions

6.5 Improper Integrals 


3. Week

Chapter 7

7.1 Volume by slicing – solids of revolution

7.2 More volumes by slicing


4. Week

7.3 Arc Length and Surface Area

* 1. Quiz – 26.02.2019, 11:00

Chapter 8

8.5 Polar Coordinates and Polar Curves (exception for “Polar Conics”)

8.6 Slopes, Areas, and Arc Lengths for Polar Curves


5. Week

Chapter 9

9.1 Sequences and Convergence
 

8 Mart: Practice Day


6. Week

11-15 March 2019 - Midterm1


7. Week

9.2 Infinite Series

9.3 Convergence Tests for Positive Series (The integral test, p-series, Comparison tests: Theorem 9, Theorem 11 (the ratio test)) (exception for “Limit comparison test", "root tests",  "Using geometric bounds to estimate the sum of a series").

9.4 Absolute and Conditional Convergence (Definition 5, Theorem 13, Definition 6, The alternating Series Test: Theorem 14, Examples: 3,4,5,6)


8. Week

9.5 Power Series

9.6 Taylor and Maclaurin Series (exception for Taylor’s formula Revisited, ve Theorem 22 and Example 7)


9. Week

Chapter 12


12.1 Functions of Several Variables

12.2 Limits and Continuity

12.3 Partial Derivatives 

12.4 Higher Order Derivatives 

12.5 The Chain Rule
 

* 2. Quiz – 2 April 2019, 11:00


10. Week

12.7 Gradients and Directional Derivatives
 

12 Nisan: Practice Day


11. Week

15-19 April 2019 - Midterm2


12. Week

Chapter 14

14.1 Double Integrals


13. Week

14.2 Iteration of Double Integrals in Cartesian Coordinates

14.3 Improper Integrals and a Mean Value Theorem
 

* 3. Quiz – 30 April 2019, 11:00


14. Week

14.4 Double Integrals in Polar Coordinates
 

10 May: Practice Day


15. Week

15 - 29 May 2019 - Final


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