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: “BASIC TECHNICAL MATHEMATICS with CALCULUS”, 9th edition
by Allyn J. Washington (ISBN: 978-0-13-814226-1)
Publisher: Pearson Prentice Hall.
Note to student: The CASIO CFX 8950G or any TI series graphic calculator is recommended.
21.3 The Circle (review) p. 572/1-43 odd
21.4 The Parabola p. 576/1-39 odd
21.5 The Ellipse p. 582/1-37 odd
21.6 The Hyperbola p. 587/1-39 odd
21.7 Translation of Axes p. 576/1-43 odd
Limits p. 656/1-51 odd
23.2 The Slope of a Tangent to a Curve p. 660/1-25 odd
23.3 The Derivative p. 664/1-37 odd
23.4 The Derivative as an Instantaneous Rate of Change p. 668/1-29 odd
23.5 Derivatives of Polynomials p. 672/1-35 odd; 39
23.6 Derivatives of Products and Quotients of Functions p. 676/1-31 odd; 39,41,43,45,47
23.7 The Derivative of a Power of a Function p. 682/1-23 odd; 29-47 odd
23.8 Differentiation of Implicit Functions p. 686/1-31 odd.
23.9 Higher Derivatives p. 689/1-39 odd
24.1 Tangents and Normals p. 696/1-15 odd; 17,21
24.2 Newton's Method for Solving Equations p. 700/1-13 odd; 21
24.3 Curvilinear Motion p. 704/1-15 odd; 19, 21
24.4 Related Rates p. 707/1-23 odd
24.5 Using Derivatives in Curve Sketching p. 714/1,5,9,11,13; 31-39odd
24.6 More on Curve Sketching p. 719/1,5,9,13,17
24.7 Applied Maximum and Minimum Problems p. 724/1-27 odd
24.8 Differentials and Linear Approximation p. 729/1-15 odd; 25,27,29
27.1 Derivatives of the Sine and Cosine Functions p. 801/1-31 odd;37,38,39,43,51
27.2 Derivatives of the Other Trigonometric Functions p. 804/1-31 odd; 39,41,47
27.3 Derivatives of the Inverse Trigonometric Functions p. 807/1-31 odd
27.4 Applications p. 811/1,7,8,9,11,15,17,19,23
27.5 Derivative of the Logarithmic Function p. 816/1-31 odd; 39,41,45
27.6 Derivative of the Exponential Function p. 819/1-31 odd; 35,41,47
27.7 Applications p. 823/13-25 odd; 31
PY/GG(11/2000) PY(11/2009)