MATH116 CALCULUS AND ANALYTIC GEOMETRY

. Section 2, Summer 2007 , Summer 2010
MATH116: Intermediate Calculus III Text
"Calculus and Analytical Geometry", Thomas' Calculus, Addison Wesley , Media Upgrade (11th Edition)
Program
Monday: 08.40-10.30 (BZ04)
Tuesday: 8.40-10.30 (BZ04)
Tursday: 8.40-10.30 (BZ04)
Friday: 8.40-10.30 (BZ04)
Exams : Two Midterm Exams (25% each) and a Final Exam (35%). Quizes and Homework (15%).
• Syllabus : syllabus pdf file
• Attendance, hw, quizes and midterm grades

• First Midterm Exam: June 26, 2010 (10.00-12.00)
• Second Midterm Exam: July 10, 2010 (10.00-12.00)
• Final Exam : July 26,2010 (Monday: 10.00-12.00)

• HARF NOTUNUZ

• MAKE UP EXAM : July 27, 2010 (Tuesday: 10.00-12.00)

Solutions of the quiz problems:
quiz 1 (2009) , (2010) , quiz 4 (2009) , (2010) , quiz 7 (2009) , (2010) , quiz 10
quiz 2 (2009) , (2010) , quiz 5 (2009) , (2010) , quiz 8 , quiz 11
quiz 3 (2009), (2010) , quiz 6 (2009), (2010) , quiz 9 , quiz 12

Absolute Maximim, Absolute Minimum Problems

• First midterm exam with solutions
• Second midterm exam with solutions
• Final exam with solutions

Subjects Covered

1. June 4
• Functions of two or more variables. Domains, ranges, level curves graph of functions. (14.1)
• Limits and contiuity of functions of several variables. (14.2)
2. June 6
• Partial Derivatives (14.3)
• The Chain Rule (14.4)
3. June 8
• Directional Derivatives and Gradient vectors (14.5)
• Tangent Planes and Differentials (14.6)
4. June 11
• Tangent Planes and Differentials (14.6)
• Extreme values and Saddle Points (14.7)
5. June 13
• Extreme values and Saddle Points (14.7)
• Lagrange Multipliers (14.8)
6. June 15
• Taylor's Formula for Functions of two variables (14.10)
First Midterm Exam: June 16, 200y (10.00-12.00)
• First midterm exam with solutions (2006) , (2007)
7. June 18
• Double Integrals (15.1)
8. June 20
• In Section 15.2 We Cover only Area as Double Integrals and Average value of a function
• Double Integrals in Polar form (15.3)
9. June 22
• Triple Integrals in Rectangular Coordinates (15.4)
10. June 25
• Triple Integrals in Cylindrical and Spherical Coordinates (15.6)
11. June 27
• Substitutions in Multiple Integrals (15.7)
12. June 29
• Vector valued functions, arclength and unit tangent vector (13.1),(13.3)
Second Midtrem Exam , June 30, 2007: 10.00-12.00
• Second midterm exam with solutions (2006) , (2007)
Exam Places are Listed Above
13. July 2
• Line Integrals and Vector Fields (16.1, 16.2)
14. July 4
• Path Independence and Potential Functions (16.3)
15. July 6
• Green's Theorem (16.4)
16. July 9
• Surface integrals, parametric surfaces (16.5,16.6)
17. July 11
• Stokes Theorem (16.7)
18. July 13
• Divergence Theorem (16.8)

• Final exam with solutions (2006) , (2007)
• FINAL EXAM : July 18,2006 (Wednesday: 18.00-20.00)

• FINAL EXAM PLACES (soyadina gore siralanmistir)

• MAKE UP EXAM : July 23, 2006 (Monday: 18.00-20.00)
Make up exam place: SA 141 (Matematics Seminar Room)
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