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Math 161 – Calculus for Engineering 1 (International section)
Semester: 1/2557

Instructor: Dr. Nattapol Ploymaklam 
Office:
 MB 2306 
Office Hours: M Th at 4-5 pm, or by appointment 
Email: nploymaklam at gmail dot com

Textbook: Thomas' Calculus 12th Edition, Early Transcendentals

Syllabus         Facebook

Topics covered in the midterm

 

Topics covered in the final

Final

Time: Tuesday, 9 December 2014 at 12-3 p.m. (12:00-15:00 ¹.)

Location: RB 5308

 

Chapter(s)

Topic(s)

4.8, 5.5

-Indefinite integrals
-Integration by substitutions

5.1, 5.2

Riemann sum and area under a curve

5.3, 5.4, 7.1

-The first fundamental theorem of calculus    

-Properties of definite integral

-Mean-value theorem
-The second fundamental theorem of calculus

5.6

Areas between curves

6.1, 6.2

Volume of solids of revolution

6.3

Arc length of plane curves

8.1

Integration by parts

8.2

Integration of trigonometric functions

8.3

Integration by trigonometric substitutions

8.4

Integration by partial fractions

8.6

Numerical integration

8.7

-Definition and examples of improper integrals
-Gamma function, Beta function, and Laplace transformation

 

Exercises and solutions

 

Final practice 1 2  
Solution 1 2

 

Lecture notes

 

Class schedule

 

Scores