BRONX COMMUNITY COLLEGE of the City University of New York

DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE

SYLLABUS: MTH 13 – TRIGONOMETRY and COLLEGE ALGEBRA (3 credits, 4 hours)

PREREQUISITE: MTH 06 or equivalent

TEXTBOOK: “BASIC TECHNICAL MATHEMATICS with CALCULUS”, 8^th edition

by Allyn J. Washington (ISBN: 0-321-13194-0)

Publisher: Pearson/Addison Wesley

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

SECTIONS TOPICS SUGGESTED EXERCISES

CHAPTER 9: VECTORS and OBLIQUE TRIANGLES ( 4 hours)

9.1 Introduction to Vectors p. 262 #1-43 odd

9.2 Components of Vectors p. 265 #1-21 odd

9.3 Vector Addition by Components p. 271 #1-27 odd

9.4 Applications of Vectors p. 259 #1-29 odd

CHAPTER 12: COMPLEX NUMBERS ( 8 hours)

12.1 Basic Definitions p. 343 #1-59 odd

12.2 Basic Operations with Complex Numbers p. 346 #1-47 odd

12.3 Graphical Representation of Complex Numbers p. 348 #1-33 odd

12.4 Polar Form of a Complex Number p. 351 #1-39 odd

12.5 Exponential Form of a Complex Number p. 354 #1-33 odd

6. Products, Quotients, Powers, and Roots p. 360 #1-41 odd

Of Complex Numbers

CHAPTER 3: FUNCTIONS and GRAPHS ( 4 hours)

3.1 Introduction to Functions p. 84 #1-27 odd

3.2 More about Functions p. 88 #1-37 odd

3.4 The Graph of a Function p. 96 #7-57 odd

CHAPTER 13: EXPONENTIAL AND LOGARITHMIC FUNTIONS ( 8 hours)

13.1 Exponential Functions p. 372 #1-31 odd

13.2 Logarithmic Functions p. 376 #1-61 odd

13.3 Properties of Logarithms p. 380 #1-55 odd

13.5^* Natural Logarithms p. 367 #1-51 odd

13.6 Exponential and Logarithmic Equations p. 370 #1-47 odd

CHAPTER 10: GRAPHS OF THE TRIGONOMETRIC FUNCTIONS ( 4 hours)

10.1 Graphs of y = a sin x and y = a cos x p. 296 #1-35 odd

10.2 Graphs of y = a sin bx and y = a cos bx p. 299 #1-59 odd

10.3 Graphs of y = a sin (bx + c) and y = a cos (bx + c) p. 302 #1-39 odd

10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x p. 306 #1-23 odd

10.5 Applications of the Trigonometric Graphs p. 308 #1-13 odd

CHAPTER 20: ADDITIONAL TOPICS IN TRIGONOMETRY ( 10 hours)

20.1 Fundamental Trigonometric Identities p. 530 #7-579 odd

20.2 The Sum and Difference Formulas p. 535 #1-45 odd

20.3 Double-Angle Formulas p. 539 #1-45 odd

20.4 Half-Angle Formulas p. 543 #3-37 odd

20.5 Solving Trigonometric Equations p. 548 #1-41 odd

20.6 The Inverse Trigonometric Functions p. 554 5-59 odd

CHAPTER 5: SYSTEMS OF LINEAR EQUATIONS; DETERMINANTS ( 5 hours)

5. Solving Systems of Two Linear Equations in p. 1601 #1-35 odd.

Two Unknowns by Determinants

5.6 Solving Systems of Three Linear Equations in p. 164 #1-19 odd

Three Unknowns Algebraically

5.7 Solving Systems of Three Linear Equations in p. 170 #1-31 odd

Three Unknowns by Determinants

Fall 2004 (py/gg)