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New York Institute of Technology Department of Mathematics Spring 2011 Course Number: TMAT 155 Course Name: Technical Mathematics II Spring 2012 Text: Ron Larson, Precalculus: Real Mathematics, Real People 6th Edition, Cengage Learning, 2011, ISBN: 978-1-111-42763-4 No. # of Section Topic Homework2 Hours1 1 4 Review of: 1.2 Functions p. 24: 7-13*(3), 17-31*, 37-43, 49, , 5154, 55-63*, 71, 74, 81-86 1.3 Graphs of Functions p. 37: 7-61*, 87-90 1.5 Combinations of p. 56: 41-44, 55-60, 69, 70, 71-77* Functions 1.6 Inverse Functions p. 67: 7-23*, 25-85*, 91 2 3 2.4 Complex Numbers p. 133: 7-89* 3 2.5 2.1 Quadratic Functions p. 96: 5-8, 17-29*, 37-53*, 59, 63-66, 71 4 2.5 2.3 Real Zeros of p. 124: 7-19*, 87-90 Polynomial Functions 5 2.5 2.5 Fundamental Theorem p. 140: 9-15, 17-27, 31, 35, 36 of Algebra 6 4.5 3.1, 3.5 Exponential Functions p. 189: 5-15*, 17-20, 29-38*, 41, 43, and Their Graphs 57-63*, 70-73 p. 228: 13-20*, 24, 26, 33-36, 38 7 3 3.2 Logarithmic Functions p. 199: 7-50*, 110, 112, 114 and Their Graphs 8 3 3.3 Properties of Logarithms p. 207: 13-83*, 89-105* 9 3 3.4 Solving Exponential and p. 217: 7, 11, 23-67*, 83, 91-107*, 119Logarithmic Equations 123*, 150 10 3 4.1 Degrees and Radian p. 261: 11-97*, 104-111 Measure 11 3 4.3, 4.8 Right Triangle p. 280: 7-19*, 21-24, 27, 28, 31-46, 53Trigonometry 57*, 59-71, 77-81* p. 332: 5-31*, 32, 33, 35, 54 12 2.5 4.4 Trigonometric Functions p. 289: 11-107*, 111-114 of Any Angle 13 3.5 4.5 Graphs of Sine and p. 299: 9-31*, 43-69*, 81, 85 Cosine Functions 14 2.5 4.6 Graphs of Other p. 311: 5-17, 21, 29-33 Trigonometric Functions 15 2.5 4.7 16 3.5 17 p. 322: 5-25*, 45-65*, 100, 102 2 5.4 p. 354: 7-19*, 21-25, 27, 28, 24, 3339*, 45, 51, 59 p. 362: 11-16, 49 p. 396: 23, 29, 31, 32 p. 381: 9-25*, 49-56, 73, 74, 77, 79 18 2 5.5 19 20 21 2 2 2.5 6.1 6.2 7.2 11 Inverse Trigonometric Functions 5.1, 5.2 Using Fundamental Identities Sum and Difference Formulas (Sine and Cosine only) Multiple-Angle and Product-Sum Formulas (Sine and Cosine only) Law of Sines Law of Cosines Systems of Linear Equations Exams, quizzes and review p. 390: 9, 21, 22, 45, 55 p. 410: 7-26*, 41, 43, 45, 47 p. 417: 7-20*, 47, 50, 52 p. 485: 7-21*, 27-39*, 77-79, 83 Footnotes: 1) The # of hours column is designed to approximate the appropriate pace of the course. An hour translates into 50 minutes of classroom instructional time. 2) Homework exercises indicate the type of problems that a student should be able to do. The instructor will determine the particular exercises that are assigned. 3) The asterisk,*, indicates that the group of indicated exercises include only the odd numbers. For example, 7-13* indicates the problems 7, 9, 11, and 13. Note: This course requires that each student own a graphing calculator. The department of Mathematics strongly recommends the Texas Instrument models, TI-84, TI-86, TI89. The calculator will be needed for homework, quizzes and exams, including the final exam.