BRONX COMMUNITY COLLEGE of the City
University of New York
DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE
SYLLABUS: MTH
15-CALCULUS (3 credits, 3 hours)
PREREQUISITE: MTH 14
TEXTBOOK: ÒBASIC TECHNICAL
MATHEMATICS with CALCULUSÓ, 10th edition
by Allyn J. Washington
(ISBN-13: 978-0-13-311653-3;
ISBN-10: 0-13-311653-0)
Publisher: Pearson/Prentice
Hall
Note to
student: Any graphic calculator is recommended.
SECTIONS TOPICS SUGGESTED
EXERCISES
CHAPTER
25 INTEGRATION (approx. 10 hrs.)
25.1 Antiderivatives p.
744/1-35 odd
25.2 The
Indefinite Integral p.
748-749/1-39 odd
25.3 The
Area Under a Curve p.
754/1,5,9,11,15,19
25.4 The
Definite Integral p.
757/1,3,5,9,13,17,21,23,25,27,29,33
25.5 Numerical
Integration: The Trapezoidal Rule p.
761/1,3,7,11
25.6 SimpsonÕs
Rule p.
764/1,3,7,11,13
CHAPTER 26
APPLICATIONS OF INTEGRATION (approx. 8 hrs.)
26.1 Applications
of the Indefinite Integral p.
772-773/1-25 odd
26.2 Areas
by Integration p.
777-778/1-29odd; 33,35
26.3 Volumes
by Integration p.
783-784/1,3,5,9,13,17,21,23,27,29,38
26.4* Centroids p.
789-790/1,5,9,13,17,21,25,30
26.6 Other
Applications p.
799/1,5,7,13,17
CHAPTER 28
METHODS OF INTEGRATION (approx. 10 hrs.)
28.1 The
General Power Formula p.
842-843/1-31 odd
28.2 The
Basic Logarithmic Form p.
846-847/1-37 odd
28.3 The
Exponential Form p.
849-850/1-17 odd; 25-33 odd
28.4 Basic
Trigonometric Forms p.
853/1-21 odd; 27,29,31
28.5* Other
Trigonometric Forms p.
857/1-27 odd; 31,32,35
28.7 Integration
by Parts p.
865/1-25 odd
28.8* Integration
by Trigonometric Substitution p.
868/1-19 odd
CHAPTER 30
EXPANSION OF FUNCTIONS IN SERIES (approx. 7 hrs.)
30.2 Maclaurin Series p.
912/1,3,4,5,11,17,19
30.4 Computations
by Use of Series Expansions p.
920/1,4,5,7,9,13,17
30.5 Taylor
Series p.
923/1,5,9,13,17,21
30.6 Introduction
to Fourier Series p.
929/1,3,5,7
CHAPTER 31
DIFFERENTIAL EQUATIONS (approx. 7 hrs.)
31.1 Solutions
of Differential Equations p.
941/1,5,7;11-23odd
31.2 Separation
of Variables p.
945/1-35 odd
31.4 The
Linear Differential Equation of the First Order p.
950/1,3,5,9,13,17,21,23,25,27,29,31
31.6 Elementary
Applications p.
956-958/1,13-21 odd; 25,27,35,36
*Optional
RG(1/2006)
PY(11/2009) PY(08/2014)