Mathematical Induction, Pre Calculus

Mathematical Induction

II. Mathematical Analysis: Lecture 1 | 30:39 min

Lecture Description

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Table of Contents

I. Polar Coordinates and Complex Numbers
	Polar Coordinates	29:32
	Graphing Polar Coordinates	64:42
	Introduction to Complex Numbers	34:10
	Simplifying Complex Numbers	38:44
	Polar Forms of Complex Numbers	33:50
	Products and Quotients of Complex Numbers in Polar Form	26:12
	Powers and Roots of Complex Numbers and de Moivre's Formula	63:15
II. Mathematical Analysis
	Mathematical Induction	30:39
	Fundamental Theorem of Algebra	28:55
	Rational Functions	45:48
III. Trigonometry (Functions)
	Angles	39:05
	Sine and Cosine Functions	43:16
	Sine and Cosine Values of Special Angles	33:05
	Modified Sine Waves: Asin(Bx+C)+D and Acos(Bx+C)+D	52:03
	Tangent and Cotangent Functions	36:04
	Secant and Cosecant Functions	27:18
	Inverse Trigonometric Functions	32:58
	Computations of Inverse Trigonometric Functions	31:08
IV. Trigonometry (Identities)
	Pythagorean Identity	19:11
	Identity Tan(squared)x+1=Sec(squared)x	23:16
	Addition and Subtraction Formulas	52:52
	Double Angle Formulas	29:05
	Half-Angle Formulas	43:55
V. Trigonometry (Applications)
	Trigonometry in Right Angles	25:43
	Law of Sines	56:40
	Law of Cosines	49:05
	Finding the Area of a Triangle	27:37
	Word Problems and Applications of Trigonometry	34:25
	DeMoivre's Theorem	57:37
VI. Vectors and Parametric Equations
	Geometric Vectors	40:10
	Algebraic Representation of Vectors	54:36
	Vectors in 3D Space	50:08
	Vectors and Parametric Equations	34:10
	Using Parametric Equations to Model Motion	31:13
VII. Linear Algebra (Matrices)
	Basic Matrix Concepts	11:34
	Matrix Operations	21:36
	Matrix Multiplication	29:36
	Determinants	33:13
	Cramer's Rule	28:25
	Identity and Inverse Matrices	22:25
	Gauss Jordan Method	58:48
VIII. Sequences and Series
	Arithmetic Sequences	21:16
	Arithmetic Series	21:36
	Geometric Sequences	23:03
	Geometric Series	22:43
	Infinite Geometric Series	18:32
	Recursion and Special Sequences	14:34
	Binomial Theorem	48:30
IX. Analytic Geometry (Conic Sections)
	Midpoint and Distance Formulas	32:42
	Parabolas	41:27
	Circles	21:03
	Ellipses	46:51
	Hyperbolas	38:15
	Conic Sections	18:43
	Solving Quadratic Systems	47:04
X. Probability
	Experiment, Outcomes, and Sample Space	14:54
	Calculating Probability	14:13
	Probability and Events	22:08
	Intersection of Events and the Multiplication Rule	19:58
	Union of Events and the Addition Rule	18:28
	Bayes' Rule	16:59
	Probability II	77:39

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Mathematical Induction

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