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:  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 21 PLANE ANALYTIC GEOMETRY

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

 

               CHAPTER 23 THE DERIVATIVE

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

 

           CHAPTER 24 APPLICATIONS OF THE DERIVATIVE         

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

            

           CHAPTER 27 DIFFERENTIATION OF TRANSCENDENTAL FUNCTIONS

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

 

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