Trigonometry and Analytic Geometry (MATH 133 A)

Fall 2012


Instructor:   Dr. Seongchun (Michelle) Kwon
e-mail:   kwonseon at hotmail dot com
Office:   Miller Science Center 103-C
Office hours:   2:00- 3:00 PM on MWF and 3:00- 4:00 PM on TTR or by appointment
Class hours:   TR 1:30 PM-2:50 PM at Miller Science Center 202



Text:    College Trigonometry 6th Ed. ( ISBN 978-0-618-82507-3 ),   Authors: Aufmann, Barker and Nation,   Publisher: Houghton Mifflin

Materials covered:    Right triangle ratios, trigonometric functions, graphing trigonometric functions, identities, inverse trigonometric functions, laws of Sines and Cosines, polar coordinates and complex numbers, analytic geometry.



Final Exam:   December 6 (Thursday)   8:00 – 10:00 AM




  • Syllabus;     Tentative Schedule
  • Suggested Problems



     

                                          Progress, Problems and Solutions

    Date Progress Problems,Solutions
    Aug 21 T Introduction, 1.1. Equations and Inequalities
    Aug 23 TR 1.1. Equations and Inequalities, 1.2. A Two-Dimensional Coordinate System and Graphs
    Aug 28 T 1.3. Introduction to Functions, 1.4. Properties of Graphs Closedbook Quiz
    Aug 30 TR 1.4. Properties of Graphs Group Quiz
    Sep 4 T 1.5. The Algebra of Functions Quiz
    Sep 6 TR 1.6. Inverse Functions Group Quiz
    Sep 11 T 2.1. Angles and Arcs, 2.2. Right Triangle Trigonometry Quiz
    Sep 13 TR 2.3. Trigonometric Functions of Any Angle, 2.4. Trigonometric Functions of Real Numbers Group Quiz
    Sep 18 T 2.4. Trigonometric Functions of Real Numbers, 2.5. Graphs of the Sine and Cosine Functions Group Quiz
    Sep 20 TR 2.5. Graphs of the Sine and Cosine Functions, 2.6. Graphs of the Other Trigonometric Functions Quiz, Review for the exam
    Sep 25 T Exam 1 Exam 1
    Sep 27 TR 3.1. Verification of Trigonometric Identities, 3.2. Sum, Difference, and Cofunction Identities Mini-Make-Up Exam
    Oct 2 T Problem Solving Group Quiz
    Oct 4 TR Fall Break
    Oct 9 T 3.2. Sum, Difference, and Cofunction Identities, 3.3. Double- (and Half-Angle) Identities
    Oct 11 TR 3.3. (Double- and) Half-Angle Identities, 3.5. Inverse Trigonometric Functions Group Quiz
    Oct 16 T 3.5. Inverse Trigonometric Functions, Group Quiz: #2, 5, 14, 24, 26, 36, 38, 40, 60, 67 in p 265 - p 267
    Oct 18 TR 3.6. Trigonometric Equations
    Oct 23 T 4.1. The Law of Sines Closedbook Quiz
    Oct 25 TR 4.2. The Law of Cosines and Area
    Oct 30 T 4.2. The Law of Cosines and Area, 4.3. Vectors
    Nov 1 TR Exam 2 ( 3.1. -4.2. ): In this exam, you are allowed to use a formula sheet. Your formula sheet's size must be no more than the half of the A4. Exam 2 (Solution) Typo: #4 in Solution cos must be negative. So the answer is -24/25
    Nov 6 T 4.3. Vectors, Mini-Make-Up Exam Mini-Make-Up Exam 2
    Nov 8 TR 4.3. Vectors Group Quiz
    Nov 13 T 5.1. Complex Numbers Quiz
    Nov 15 TR 5.2. Trigonometric Form of Complex Numbers, Group Quiz
    Nov 20 T 5.3. De Moivre’s Theorem Quiz
    Nov 22 TR Thanks Giving Holiday
    Nov 27 T 6.7. Parametric Equations Quiz
    Nov 29 TR Review for the Final: Review midterm exams, questions and answers
    Dec 6 TR Final Exam ( 8:00 - 10:00 ) Final Exam (Solution)