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### Introduction to Physics (Basic Math)

• Physics is the study of the laws of nature. The phenomena studied range from the subatomic scale to the cosmological scale. The ultimate test of the validity of any law is determined by experiment.
• The international system (SI) of units is used throughout. Length is measured in meters (m), mass in kilograms (kg), and time in seconds (s).
• The law of cosines allows the determination of the third side of a triangle if the other two sides and the angle between them are known.
• The law of sines states that in a triangle the ratio of the sine of an angle to the length of the opposite side is constant.
• A scalar is a quantity that is completely determined by its magnitude; mass, time, distance, and speed, are scalars. A vector is specified by a magnitude and a direction. Displacement, velocity, acceleration, and force, are vectors.

### Introduction to Physics (Basic Math)

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• What is Physics? 1:35
• Physicists and Philosophers
• Differences Between
• Experimental Observations
• Laws (Mathematical)
• Modification of Laws/Experiments
• Example: Newton's Laws of Mechanics
• Example: Einstein's Relativity
• Units 8:50
• Various Units
• SI Units
• Length (meter)
• Mass (kilogram)
• Time (second)
• MKS Units (meter kilogram second)
• Definition of Second
• Definition of Meter
• Definition of Kilogram
• Multiplying/Dividing Units
• Trigonometry Overview 21:24
• Sine and Cosine
• Pythagorean Theorem
• Tangent
• Sine and Cosine of Angles
• Similar Triangles
• Right Triangle (Oppposite, Adjacent, Hypotenuse)
• Other Angles (30-60-90)
• Law of Cosines 31:38
• Proof of Law of Cosines
• Law of Sines 37:03
• Proof of Law of Sines
• Scalars and Vectors 41:00
• Scalar: Magnitude
• Vector: Magnitude and Direction
• Examples
• Extra Example 1: Unit Conversion
• Extra Example 2: Law of Cosines
• Extra Example 3: Dimensional Analysis