Course Syllabus
Faculty Consultation Hours | ||
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Monday |
8:00 AM - 12:00 NN |
1:00 PM - 6:00 PM |
Tuesday |
8:00 AM - 12:00 NN |
1:00 PM - 6:00 PM |
Wednesday |
8:00 AM - 12:00 NN |
1:00 PM - 6:00 PM |
Thursday |
8:00 AM - 12:00 NN |
1:00 PM - 6:00 PM |
Friday |
8:00 AM - 12:00 NN |
1:00 PM - 6:00 PM |
Saturday |
8:00 AM - 12:00 NN |
1:00 PM - 6:00 PM |
Syllabus
COE0013
Calculus 2
The course introduces the concept of integration and its application to some physical problems such as evaluation of areas, volumes of revolution, force, and work. The fundamental formulas and various techniques of integration are taken up and applied to both single variable and multi-variable functions. The course also includes tracing of functions of two variables for a better appreciation of the interpretation of the double and triple integral as volume of a three-dimensional region bounded by two or more surfaces.
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Find the antiderivative of a function using basic integration formulas.
- Apply appropriate techniques of integration to find the antiderivative of a function..
- Apply definite integral in solving geometrical and physical problems.
Course Syllabus
- 01 Antidifferentiation
- 02 Integration by Algebraic Substitution
- 03 Integrals Involving Exponential and Logarithmic Functions and of Transcendental Functions
- 04 Integration by Parts and Integrals of Powers and Products of Trigonometric Functions
- 05 Integration by Trigonometric Substitution and by Partial Fractions
- 06 Applications of Integration: Area and Volume
- 07 Further Applications of Integrals
- 08 Multiple Integrals and Improper Integrals
Grading System | |
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Midterm Grade | Final Grade |
Midterm Grade (MG) = 60% (CS) + 40% (ME)
Class Standing (CS) 60%
Midterm Exam (ME) ) 40% 100%
PASSING RAW SCORE: 70/100 |
Final Grade (FG) = 60% (CS) + 15% (ME) + 25% (FE)
Class Standing (CS) 60%
Midterm Exam (ME) 15% Final Exam (FE) 25% 100% PASSING RAW SCORE: 70/100 |
Textbooks/References/Online References
- Larson, Ron and Bruce H. Edwards (2017). Calculus. Eleventh Edition. Cengage Learning Asia Pte Ltd
- Stewart, James (2015). Calculus: Early Transcendentals, 8th edition. Boston, MA: Cengage Learning.
- Edwards, B. H.(2014). Understanding Multivariable Calculus: Problems, Solutions, and Tips. Virginia: THE GREAT COURSES
- Ryan, Mark. (2014). Calculus For Dummies, 2nd Edition. New Jersey: John Wiley & Sons, Inc.
- Leithold, Louis (1996). The Calculus 7. 7th Edition. New York: Harper Collins
- Larson, Ron and Bruce H. Edwards (2014). Calculus. Ninth Edition. Cengage Learning Asia Pte Ltd
- Yu Jei Abat. (n.d.). Integral Calculus [YouTube Playlist]. Retrieved from https://www.youtube.com/playlist?list=PL_NkZ6-1skgn3jRcPbtgJ5gX3i03yb_6I
- Bourne, Murray (2020). Area Under a Curve by Integration. Retrieved from https://www.intmath.com/applications-integration/2-area-under-curve.php
Course Summary:
Date | Details | Due |
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