**Instructor: ** Dr. Seongchun (Michelle) Kwon

** e-mail: ** kwonseon at hotmail dot com

** Office: **

** Office hours: ** or by appointment

** Class hours: **
2:30 PM-3:50 PM Thursday, 102 Miller Hall

** Text: **

** 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 Comprehensive Exam:**
** December 5 **

Week | Days | Your Progress |

1 | Aug 27 - Sep 1 | Introduction, 1.1. Radian and Degree Measure |

2 | Sep 2 - Sep 8 | 1.2. Trigonometric Functions: The Unit Circle, 1.3. Right Triangle Trigonometry |

3 | Sep 9 - Sep 15 | 1.4. Trigonometric Functions of Any Angle, 1.5. Graphs of Sine and Cosine Functions |

4 | Sep 16 - Sep 22 | 1.6. Graphs of Other Trigonometric Functions, 1.7. Inverse Trigonometric Functions |

5 | Sep 23 - Sep 29 | 1.7. Inverse Trigonometric Functions, 2.1. Using Fundamental Identities |

6 | Sep 30 - Oct 6 | Review for the Exam, Exam 1(1.1-2.1) |

7 | Oct 7 - Oct 13 | 2.2. Verifying Trigonometric Identities, 2.3. Solving Trigonometric Equations |

8 | Oct 14 - Oct 20 | 2.3. Solving Trigonometric Equations, 2.4. Sum and Difference Formulas |

9 | Oct 21 - Oct 27 | 2.5. Multiple-Angle and Product-to-Sum Formulas, 3.1. Law of Sines |

10 | Oct 28 - Nov 3 | 3.2. Law of Cosines, Review for the Exam 2 |

11 | Nov 4 - Nov 10 | Exam 2(2.2-3.2), 3.3. Vectors in the Plane |

12 | Nov 11 - Nov 17 | 3.4. Vectors and Dot Products, 4.1. Complex Numbers |

13 | Nov 18 - Nov 24 | 4.2. Complex Solutions of Equations, 4.3. Trigonometric Form of a Complex Number |

14 | Nov 25 - Dec 1 | 4.4. DeMoivre's Theorem, 6.6. Parametric Equations |

15 | Dec 2 - Dec 8 | 6.7. Polar Coordinates, Exam 3 |

16 | Dec 9 - Dec 13 | Final Exam |

I thank to Mr.Tarrou and Prof. Sousa for their willingness to share their high quality lectures for this hybrid course.

Topic, Powerpoint Lecture Note ( Partly based on the Powerpoint provided by Cengage Learning ) |
Video Lectures, Recourses |

1.1. Radian and Degree Measure | |

1.2. Trigonometric Functions: The Unit Circle | The Unit Circle Definition of Trig Functions(R); |

1.3. Right Triangle Trigonometry | Right Triangle Trigonometry(R) ; Degrees, Minutes and Seconds(J) |

1.4. Trigonometric Functions of Any Angle | Determining Trig Function Values Using Reference Angles and Reference Triangles(J) |

1.5. Graphs of Sine and Cosine Functions | Understanding Basic Sine & Cosine Graphs(R); Amplitude and Period of Sine and Cosine(J); Graphing Sine and Cosine with Transformations(J) |

1.6. Graphs of Other Trigonometric Functions | |

1.7. Inverse Trigonometric Functions | Introduction to Inverse Sine, Inverse Cosine, and Inverse Tangent(J); Evaluating Inverse Trigonometric Functions Full Length(R) |

2.1. Using Fundamental Identities | The Reciprocal, Quotient, and Pythagorean Identities(J) ; Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities(J); Verifying Trig Identities(Part1)(R) |

2.2. Verifying Trigonometric Identities | Verifying Trigonometric Identities (Part2)(R) Verifying Trigonometric Identities (Part3)(R) |

2.3. Solving Trigonometric Equations | Trigonometric Equations Single Angle 0 to 2pi Restriction(R) Single Angle Trigonometric Equations All Solutions(R) Trigonometric Equations Multiple Angles 0 to 2pi Restriction(R) |

2.4. Sum and Difference Formulas | Sum and Difference Trigonometric Identities(R) |

2.5. Multiple-Angle and Product-to-Sum Formulas | Double Angle Identities (J) Power Reducing Formulas for Sine and Cosine, Example 1 (P) Half Angle Identities (J) |

3.1. Law of Sines | Oblique Triangles Law of Sines (R) Ambiguous Case for Law of Sines (R) |

3.2. Law of Cosines | Law of Cosines (R) Area of oblique triangles with Heron's Formula (R) Applications of Law of Sines and Cosines (R) |

3.3. Vectors in the Plane | Introduction to Vectors(J) Vector Operations(J): Watch up to 4:59 The Unit Vector(J) |

3.4. Vectors and Dot Products | Dot Product & Angle Between Vectors(R) Projection of a Vector onto another Vector(R) Vector Application Examples(R): Watch up to 7:00 minutes |

4.1. Complex Numbers | Complex Numbers.(R) |

4.2. Complex Solutions of Equations(:) | Complex (imaginary) Numbers Part 2(R) Polynomial Function - Complex Factorization Theorem(J) Finding polynomials using the Linear Factorization Theorem(R) |

4.3. Trigonometric Form of a Complex Number | Complex Numbers in Polar Form(R) Product & Quotient of Polar Complex Numbers(R) |

4.4. DeMoivre's Theorem | Precise Version (R); Shorter Version (J) De Moivre's Theorem Roots of Polar Complex Numbers(R) |

6.6. Parametric Equations | Introduction to Parametric Equations(R) Parametric Equations Eliminating Parameter T(R) |

6.7. Polar Coordinates | Understanding Polar Coordinates(R) Converting Coordinates between Polar and Rectangular Form(R) Converting Polar Equations to Rectangular Equations(J) |

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