# MATH 115 Elementary Calculus (II)  (winter 2010)

## LECTURE ROOM & TIME:

CEB 255, Monday, Wednesday, Friday: 11:00-11:50am.

## OFFICE HOURS:

Monday, Wednesday, Friday: 13:00-14:00pm. CAB 505

## PREREQUISITE:

Math 113 or Math 114, or equivalent.

## COURSE DESCRIPTION:

Applications of definite integrals, Differentiation and integration of trigono- metric, exponential and logarithmic functions(Transcendental functions), Indeterminate forms and improper integrals, Techniques of integration.

## HANDOUTS

• Click Here you can get "Notes on Properties of Definite Integral".
• Click Here you can get "Notes on Indefinite Integral and Substitution Rule(with anwsers to the 'after-class questions')".
• Click Here you can get "Math 115 Formulas Sheet and Integration Techniques (Basic)".

## MIDTERM

• Click Here you can get "Solutions of Sample Midterm Practice problems".

## FINAL EXAM

• Click Here you can get "part 1 of the solutions of Practice Problems of Final Exam".
• Click Here you can get "part 2 of the solutions of Practice Problems of Final Exam".
• Click Here you can get "part 3 of the solutions of Practice Problems of Final Exam".
• Click Here you can get "part 4 of the solutions of Practice Problems of Final Exam".
• Click Here you can get "part 5 of the solutions of Practice Problems of Final Exam".
• Click Here you can get "Corrigendum of Problems 3(4)and4(3) of Practice Problems of Final Exam".
• ### Corrigendum of the Solutions of Practice Problems:

(Sorry about these misprints and mistakes.)

### Question 1, (5)

The answer is e^(-1/2), I have corrected it in the current solutions on this website.

### Question 6, (2)

The answer is: pi(e^3-e) , I have corrected it in the current solutions on this website.

### Question 13,

The sign before f '(-1) is "+", not "-". I have corrected it in the above solutions (part 5), please see the proof of this problem.

### Question 3 (4),

I made mistake on the coefficients, I have corrected it in the current solutions on this website.

### Question 4 (3),

I made mistake on the coefficients, I have corrected it in the current solutions on this website.

### Question 3 (13),

I lost 1/2 when I made substitution in the calculation, I have corrected it in the current solutions on this website.
• ### Acknowledgments:

I'd like to thank Pavel Kradesh, Huang Shangfei, Li Siyao, and Carson James McCartney for telling me the mistakes and misprints in the previous solutions.

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