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)

PREREQUISITE: MTH 13

TEXTBOOK: “BASIC TECHNICAL MATHEMATICS with CALCULUS”, 7th edition

by Allyn J. Washington (ISBN: 0-201-35665-1)

Publisher: Addison Wesley Longman, Inc.

Note to Student: The Casio CFX 9850G or any TI series graphing calculator is recommended.


SECTIONS TOPICS SUGGESTED EXERCISES


CHAPTER 21 PLANE ANALYTIC GEOMETRY

21.3 The Circle (review) p. 557/1-31 odd; 37

21.4 The Parabola p. 562/1-21 odd; 29,31,33

21.5 The Ellipse p. 567/1-21 odd; 31,32

21.6 The Hyperbola p. 573/1-23 odd;31,34

21.7 Translation of Axes p. 576/1-35 odd


CHAPTER 23 THE DERIVATIVE

    1. Limits p. 635/1-43 odd

23.2 The Slope of a Tangent to a Curve p. 639/1-17 odd;

23.3 The Derivative p. 643/1-17 odd; 25,27,29

23.4 The Derivative as an Instantaneous Rate of Change p. 647/1,3,5,9,13,17,21,23,25,27,29

23.5 Derivatives of Polynomials p. 652/1-35 odd; 39

23.6 Derivatives of Products and Quotients of Functions p. 656/1-31 odd; 39,41,43,45,47

23.7 The Derivative of a Power of a Function p. 662/1-23 odd; 29-41 odd

23.8 Differentiation of Implicit Functions p. 666/1-23 odd; 27,29

23.9 Higher Derivatives p. 669/1-33 odd; 37,39


CHAPTER 24 APPLICATIONS OF THE DERIVATIVE

24.1 Tangents and Normals p. 677/1-15 odd; 17,21

24.2 Newton's Method for Solving Equations p. 681/1-13 odd; 21

24.3 Curvilinear Motion p. 685/1-15 odd; 19, 21

24.4 Related Rates p. 688/1,3,5,9,11,13,15,19,23

24.5 Using Derivatives in Curve Sketching p. 695/1,5,9,11,13; 31-39odd

24.6 More on Curve Sketching p. 699/1,5,9,13,17

24.7 Applied Maximum and Minimum Problems p. 704/1-27 odd

24.8 Differentials and Linear Approximation p. 710/1-15 odd; 25,27,29

CHAPTER 27 DIFFERENTIATION OF TRANSCENDENTAL FUNCTIONS

27.1 Derivatives of the Sine and Cosine Functions p. 782/1-31 odd;37,38,39,43,51

27.2 Derivatives of the Other Trigonometric Functions p. 786/1-31 odd; 39,41,47

27.3 Derivatives of the Inverse Trigonometric Functions p. 790/1-31 odd

27.4 Applications p. 794/1,7,8,9,11,15,17,19,23

27.5 Derivative of the Logarithmic Function p. 799/1-31 odd; 39,41,45

27.6 Derivative of the Exponential Function p. 802/1-31 odd; 35,41,47

27.7 Applications p. 806/13-25 odd; 31




PY/GG(11/2000)