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MAT806 - Calculus-II

Instructor: Prof.Refail KASIMBEYLİ
Teaching Assistants:
Course Book:
Grading:
Other Resources:
Course Outline:
1. Week

Chapter 5.1 Sums and Sigma Notation

Chapter 5.2 Areas as Limits of Sums

Chapter 5.3 The Definite Integral

Chapter 5.4 Properties of the Definite Integral

Chapter 5.5 The Fundamental Theorem of Calculus


2. Week

Chapter 5.6 The Method of Substitution

Chapter 5.7 Areas of Plane Regions

Chapter 6.1 Integration by Parts 

Recitation 1


3. Week

Chapter 6.2 Inverse Substitutions

Chapter 6.3 Integrals of Rational Functions

Chapter 6.5 Improper Integrals TYPE 1

Chapter 6.5 Improper Integrals TYPE II

Chapter 7.1 Volume by Slicing

Chapter 7.2 More Volumes by Slicing

Chapter 7.3 Arc Length and Surface Area 


4. Week

Chapter 8.2 Parametric Curves

Chapter 8.3 Smooth Parametric Curves and Their Slopes

Chapter 8.4 Arc Lengths and Areas for Parametric Curves

Chapter 8.5 Polar Coordinates and Polar Curves

Chapter 8.6 Slopes, Areas, and Arc Lengths for Polar Curves


5. Week

Chapter 9.1 Sequences and Convergence

Chapter 9.2 Infinite Series

Chapter 9.3 Convergence Tests for Positive Series

Chapter 9.4 Absolute and Conditional Convergence

 

Quiz -1 (11:00- March 6 )

Recitation (March 9)


6. Week

1. ARA SINAV


7. Week

Chapter 9.5 Power Series

Chapter 9.6 Taylor and Maclaurin Series 


8. Week

Chapter 10.4 Planes and Lines

Chapter 10.5 Quadratic Surfaces

 

 

Recitation (March 30)


9. Week

Chapter 12.1 Functions of Several Variables

Chapter 12.2 Limits and Continuity

Chapter 12.3 Partial Derivatives

Chapter 12.4 Higher Order Derivatives

Chapter 12.5 Chain Rule


10. Week

Chapter 12.7 Gradients and Directional Derivatives

 

Quiz (11:00 April 10)

Recitation (April 13)


11. Week

2. ARA SINAV


12. Week

Chapter 13.1 Extreme Values 

Chapter 13.3 Lagrange Multipliers

 


13. Week

Chapter 14.1 Double Integrals

Chapter 14.2 Iteration of Double Integrals in Cartesian Coordinates

Chapter 14.3 Improper Integrals and a Mean Value Theorem

 

14. Week

Chapter 14.4 Double Integrals in Polar Coordinates

 

Quiz (16:00 May 11)

Recitation (May15)

 

 

15. Week

FİNAL SINAVI


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