# 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)