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1
Functions
2
Increasing and Decreasing Functions
3
Maximums and minimums on graphs
4
Even and Odd Functions
5
Toolkit Functions
6
Transformations of Functions
7
Piecewise Functions
8
Inverse Functions
9
Angles and Their Measures
10
Arclength and Areas of Sectors
11
Linear and Radial Speed
12
Right Angle Trigonometry
13
Sine and Cosine of Special Angles
14
Unit Circle Definition of Sine and Cosine
15
Properties of Trig Functions
16
Graphs of Sine and Cosine
17
Graphs of Sinusoidal Functions
18
Graphs of Tan, Sec, Cot, Csc
19
Inverse Trig Functions
20
Pythagorean Identities
21
Angle Sum and Difference Formulas
22
Proof of the Angle Sum Formulas
23
Double Angle Formulas
24
Half Angle Formulas
25
Solving Right Triangles
26
Law of Cosines
27
Law of Cosines - old version
28
Law of Sines
29
Parabolas - Vertex, Focus, Directrix
30
Ellipses
31
Hyperbolas
32
Polar Coordinates
33
Parametric Equations
34
Difference Quotient
Description:
Embark on a comprehensive 4-hour 49-minute precalculus video course designed to prepare students for calculus studies. Dive deep into essential topics including functions, trigonometry, and conic sections. Explore concepts such as increasing and decreasing functions, maximums and minimums on graphs, even and odd functions, and transformations. Master trigonometric principles including right angle trigonometry, special angles, unit circle definitions, and inverse functions. Delve into advanced topics like laws of cosines and sines, parabolas, ellipses, hyperbolas, polar coordinates, and parametric equations. Benefit from clear explanations by Prof. Linda Green, covering everything from basic function properties to complex trigonometric identities and formulas. Perfect for beginners seeking a solid foundation in precalculus, this course offers a structured approach with a detailed table of contents for easy navigation through various mathematical concepts.

Precalculus Full Course for Beginners

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