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”, 9th edition

by Allyn J. Washington (ISBN-13: 978-0-13-814226-1;

ISBN-10: 0-13-814226-2)

Publisher: Pearson/Prentice Hall

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

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

9.1 Introduction to Vectors p. 258 #1-47 odd

9.2 Components of Vectors p. 261 #1-33 odd

9.3 Vector Addition by Components p. 267 #1-33 odd

9.4 Applications of Vectors p. 270 #1-33 odd

CHAPTER 12: COMPLEX NUMBERS ( 8 hours)

12.1 Basic Definitions p. 336 #1-59 odd

12.2 Basic Operations with Complex Numbers p. 339 #1-59 odd

12.3 Graphical Representation of Complex Numbers p. 341 #1-33 odd

12.4 Polar Form of a Complex Number p. 344 #1-43 odd

12.5 Exponential Form of a Complex Number p. 346 #1-35 odd

1. Products, Quotients, Powers, and Roots p. 352 #1-51 odd

Of Complex Numbers

# CHAPTER 3: FUNCTIONS and GRAPHS ( 4 hours)

3.1 Introduction to Functions p. 83 #1-27 odd

3.2 More about Functions p. 87 #1-47 odd

3.4 The Graph of a Function p. 94 #7-53 odd

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

13.1 Exponential Functions p. 364 #1-37 odd

13.2 Logarithmic Functions p. 368 #1-69 odd

13.3 Properties of Logarithms p. 373 #1-55 odd

13.5* Natural Logarithms p. 379 #1-53 odd

13.6 Exponential and Logarithmic Equations p. 382 #1-55 odd

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

10.1 Graphs of y = a sin x and y = a cos x p. 291 #1-35 odd

10.2 Graphs of y = a sin bx and y = a cos bx p. 294 #1-63 odd

10.3 Graphs of y = a sin (bx + c) and y = a cos (bx + c) p. 298 #1-43 odd

10.4 Graphs of y = tan x, y = cot x, y = sec x, y = csc x p. 301 #1-23 odd

10.5 Applications of the Trigonometric Graphs p. 303 #1-13 odd

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

20.1 Fundamental Trigonometric Identities p. 531 #7-61 odd

20.2 The Sum and Difference Formulas p. 536 #1-41 odd

20.3 Double-Angle Formulas p. 539 #1-49 odd

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

20.5 Solving Trigonometric Equations p. 547 #1-47 odd

20.6 The Inverse Trigonometric Functions p. 553 #5-61 odd

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

1. Solving Systems of Two Linear Equations in p. 157 #1-37 odd.

Two Unknowns by Determinants

5.6 Solving Systems of Three Linear Equations in p. 161 #1-19 odd

Three Unknowns Algebraically

5.7 Solving Systems of Three Linear Equations in p. 167 #1-35 odd

Three Unknowns by Determinants

Spring 2009 (NN/RG)

* The Common Logarithms in Section 13.4 can be reviewed briefly.

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