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MAT 806 - Calculus II (A)

Instructor: Res.Asst. S. Mert ÖZER
Teaching Assistants:
Course Book: Calculus: A Complete Course, Seventh Edition (7th Edition) by Robert Adams, Christopher Essex
Grading:
Other Resources:
Course Outline:
1. Week

 

5.5  The Fundamental Theorem of Calculus

 

5.6. The Method of Substitution

 

5.7. Areas of Plane Regions

 

2. Week

 

6.1. Integration by Parts

 

6.2. Integrals of Rational Functions

 

6.3. Inverse Substitutions (Inverse hyperbolic substitution is not included)

 

3. Week

 

6.5. Improper Integrals

 

7.1. Volumes by Slicing - Solids of Revolution

 


4. Week

 

7.2. More Volumes by Slicing

 


5. Week

7.3. Arc Length and Surface Area

 


6. Week

MIDTERM I


7. Week

8.5. Polar Coordinates and Polar Curves

8.6. Slopes, Areas and Arc Lengths for Polar Curves 

 

8. Week

 

9.1. Sequences and Convergence

 

9.2. Infinite Series

 

9.3. Convergence Tests for Positive Series


9. Week

 

9.4. Absolute and Conditional Convergence


10. Week

 

9.5. Power Series

9.6. Taylor and Maclaurin Series


11. Week

MIDTERM II


12. Week

12.1 Functions of Several Variables

 

12.2 Limits and Continuity

 

12.3 Partial Derivatives (up to "Tangent planes and normal lines")


13. Week

12.4 Higher-Order Derivatives (up to "The Laplace and wave equations")

 

12.5 The Chain Rule (up to "Homogeneous functions")

 

12.7 Gradients and Directional Derivatives (up to "Rates perceived by a moving observer")

 

14.1 Double Integrals

 

14.2 Iteration of Double Integrals in Cartesian Coordinates


14. Week

14.3 Improper Integrals and a Mean-Value Theorem

 

14.4. Double Integrals in Polar Coordinates


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