BRONX
COMMUNITY COLLEGE of the City University of New York
DEPARTMENT OF MATHEMATICS
AND COMPUTER SCIENCE
SYLLABUS: MTH 14 – COLLEGE ALGEBRA and
INTRODUCTION TO CALCULUS
(3 credits, 3 hours)
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.
21.3 The
Circle (review) p.
578-579/1-43 odd
21.4 The
Parabola p.
582-583/1-39 odd
21.5 The
Ellipse p.
588/1-37 odd
21.6 The
Hyperbola p.
593-594/1-39 odd
21.7 Translation of Axes p.
597/1-43 odd
23.1
Limits p.
662-663/1-51 odd
23.2 The
Slope of a Tangent to a Curve p.
666-667/1-25 odd
23.3 The
Derivative p.
670-671/1-37 odd
23.4 The
Derivative as an Instantaneous Rate of Change p.
674-675/1-29 odd
23.5 Derivatives
of Polynomials p.
678-679/1-35 odd; 39
23.6 Derivatives of Products and Quotients of Functions p. 682-683/1-31 odd; 39,41,43,45,47
23.7 The Derivative of a Power of
a Function p.
688-689/1-23 odd; 29-47 odd
23.8 Differentiation
of Implicit Functions p.
692/1-31 odd.
23.9 Higher
Derivatives p.
695-696/1-39 odd
24.1 Tangents
and Normals p.
702-703/1-15 odd; 17,21
24.2 Newton's
Method for Solving Equations p.
706/1-13 odd; 21
24.3 Curvilinear
Motion p.
710/1-15 odd; 19, 21
24.4 Related
Rates p.
713-714/1-23 odd
24.5 Using
Derivatives in Curve Sketching p.
720-721/1,5,9,11,13; 31-39odd
24.6 More
on Curve Sketching p.
725/1,5,9,13,17
24.7 Applied
Maximum and Minimum Problems p.
730-731/1-27 odd
24.8 Differentials
and Linear Approximation p.
736/1-15 odd; 25,27,29
27.1 Derivatives
of the Sine and Cosine Functions p.
809-810/1-31 odd;37,38,39,43,51
27.2 Derivatives
of the Other Trigonometric Functions p.
812-813/1-31 odd; 39,41,47
27.3 Derivatives
of the Inverse Trigonometric Functions p.
815-816/1-31 odd
27.4 Applications p.
819-820/1,7,8,9,11,15,17,19,23
27.5 Derivative
of the Logarithmic Function p.
824/1-31 odd; 39,41,45
27.6 Derivative
of the Exponential Function p.
827/1-31 odd; 35,41,47
27.7 LÕHospitalÕs
Rule p.
831/3-37 odd; 38
27.8 Applications p. 834/5,11; 17-29/odd;30
PY/GG(11/2000) PY(11/2009)PY(8/2014)