# High School Mathematics: PreCalculus

### Course Description

In this series, the very helpful and fun math teacher Mr. Tarrou teaches students an entire course on pre-calculus from start to finish. This will cover the mathematics required to understand calculus concepts of limits, derivatives and integrals. His videos are friendly, easy to understand, entertaining, and very well organized, all thanks to Mr. Tarrou great dedication to teaching and mathusiasm

Mr. Tarrou teaching Lecture 123: Rotated Conic Section Identifying & Graphing 4 Examples
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### Video Lectures & Study Materials

# Lecture Play Lecture
1 Function vs Relation (24:34) Play Video
2 Visually identifying key characteristics of graphs (11:45) Play Video
3 Even Odd Polynomial Functions & Symmetry (11:49) Play Video
4 Even and Odd Functions Many Examples (32:24) Play Video
5 Piecewise Functions (13:39) Play Video
6 Difference Quotient (14:56) Play Video
7 Rate of Change Slope & Point Slope Equation of Lines (14:51) Play Video
8 Equations of Lines and Graphing (13:35) Play Video
9 Equations of Parallel and Perpendicular Lines (15:00) Play Video
10 Average Rate of Change (12:28) Play Video
11 Transformation of Functions (14:27) Play Video
12 Composition of Functions (10:19) Play Video
13 Determining Domain of Functions (12:38) Play Video
14 Combining Functions & Function Operations (14:13) Play Video
15 Inverse Functions (14:42) Play Video
16 Modeling with Functions Part 1 (14:56) Play Video
17 Modeling with Functions Part 2 (14:30) Play Video
18 Modeling with Functions Part 3 (11:58) Play Video
19 Complex (imaginary) Numbers Part 1 (15:01) Play Video
20 Complex (imaginary) Numbers Part 2 (7:48) Play Video
21 Graphing Parabolas w/ vertex & intercepts (15:00) Play Video
22 Parabola Applications Maximizing Minimizing Reflectors, etc (12:09) Play Video
23 Polynomial Graphs Part 1 (14:44) Play Video
24 Polynomial Graphs Part 2 (14:48) Play Video
25 Basic graphing with a TI-NSPIRE (6:59) Play Video
26 Factoring Overview (10:49) Play Video
27 Factoring by Grouping (15:35) Play Video
28 Solving Equations with 2 Absolute Value Functions or More (30:02) Play Video
29 Synthetic Division & Remainder Theorem (13:07) Play Video
30 Long Division of Polynomials (14:23) Play Video
31 Solving Higher Order Polynomials Pt 1 Rational Zeros Descartes Rule (14:00) Play Video
32 Solving Higher Order Polynomials Pt 2 Rational Zeros Descartes Rule (10:28) Play Video
33 Finding polynomials using the Linear Factorization Theorem (15:00) Play Video
34 Horizontal Asymptotes of rational equations (13:55) Play Video
35 Graphing Rational Functions with Slant Asymptotes (12:11) Play Video
36 Finding vertical asymptotes and holes of rational equations (14:29) Play Video
37 Graphing Rational Functions Part 1 (10:46) Play Video
38 Graphing Rational Functions Part 2 (11:29) Play Video
39 Solving Polynomial Inequalities (14:17) Play Video
40 Solving Rational Inequalities (14:09) Play Video
41 Graphing Exponential Functions w/ t-table or Transformations (14:27) Play Video
42 Logarithm Introduction (14:26) Play Video
43 Change of Base Formula Logarithms (9:59) Play Video
44 Using Properties of Logarithms to Expand Logs (13:50) Play Video
45 Using Properties of Logarithms to Condense Logs (11:52) Play Video
46 Graphing Logarithms (13:57) Play Video
47 Solving Equations with Logarithms Pt 1 (13:25) Play Video
48 Solving Equations with Logarithms Pt 2 (14:21) Play Video
49 Solving Equations with Logarithms Pt 3 (8:15) Play Video
50 Solving Compound Interest Problems (14:19) Play Video
51 Standard Position Angles & Radians Part 1 (13:39) Play Video
52 Standard Position Angles & Radians Part 2 (11:19) Play Video
53 Setting up the Unit Circle Part 1 and Reference Angle (14:19) Play Video
54 Setting Up the Unit Circle Part 2 (14:59) Play Video
55 Linear & Angular Speed Part 1 (13:22) Play Video
56 Linear & Angular Speed Part 2 (6:03) Play Video
57 Evaluating Trig Functions w/ Unit Circle Degrees & Radians (13:54) Play Video
58 Fundamental Trigonometric Identities Intro & Proofs (14:03) Play Video
59 Trig Expressions & Finding Trig Functions Given another Trig Ratio (13:49) Play Video
60 Right Triangle Trigonometry Part 1: Finding Missing Sides (13:48) Play Video
61 Right Triangle Trigonometry Part 2: Solving for Acute Angles (4:23) Play Video
62 Trigonometric Cofunctions (10:11) Play Video
63 Trigonometric Functions of Any Angle (14:57) Play Video
64 Understanding Basic Sine & Cosine Graphs (14:37) Play Video
65 Graphing Sine & Cosine w/out a Calculator Pt1 (14:32) Play Video
66 Graphing Sine & Cosine w/out a Calculator Pt 2 (15:01) Play Video
67 Equation of Sine and Cosine from a Graph (33:33) Play Video
68 Water Depth Word Problem Modeled with Cosine Sine Function (17:35) Play Video
69 Intro Tangent & Cotangent Graphs (14:23) Play Video
70 Tangent & Cotangent Graphs w/ Transformations (11:12) Play Video
71 Graphing Secant & Cosecant w/ t-table (15:02) Play Video
72 Evaluating Inverse Trigonometric Functions (23:28) Play Video
73 Evaluating Inverse Trigonometric Functions (Full Length PLEASE READ DESCRIPTION (23:28) Play Video
74 Verifying Trigonometric Identities - Part 1 (14:25) Play Video
75 Verifying Trigonometric Identities - Part 2 (15:31) Play Video
76 Verifying Trigonometric Identities Pt3 (9:10) Play Video
77 Sum and Difference Trigonometric Identities (14:55) Play Video
78 Verifying Trigonometric Identities Involving Sum & Difference (14:25) Play Video
79 Evaluating Trigonometry Expressions with Half and Double Angles Pt1 (16:41) Play Video
80 Evaluating Trigonometry Expressions with Half and Double Angles Pt2 (13:21) Play Video
81 Trigonometry Proofs Involving Half and Double Angles (17:35) Play Video
82 Trigonometric Equations Single Angle 0 to 2pi Restriction (18:02) Play Video
83 Single Angle Trigonometric Equations All Solutions (19:48) Play Video
84 Trigonometric Equations Multiple Angles 0 to 2pi Restriction (21:08) Play Video
85 Trigonometric Equations Multiple Angles All Solutions (12:43) Play Video
86 Oblique Triangles Law of Sines (19:54) Play Video
87 Ambiguous Case for Law of Sines (22:17) Play Video
88 Law of Cosines (14:24) Play Video
89 Area of oblique triangles SAS SSS Heron's Formula (5:46) Play Video
90 Applications of Law of Sines and Cosines (24:49) Play Video
91 Trigonometry Bearing Problems 4 Examples (33:47) Play Video
92 Understanding Polar Coordinates (22:19) Play Video
93 Graphing Polar Equations, Test for Symmetry & 4 Examples Corrected (1:00:48) Play Video
94 Converting Coordinates between Polar and Rectangular Form (10:22) Play Video
95 Converting Equations Between Polar & Rectangular Form (24:20) Play Video
96 Complex Numbers in Polar Form (12:36) Play Video
97 Product & Quotient of Polar Complex Numbers (7:20) Play Video
98 De Moivre's Theorem powers of Polar Complex Numbers (14:59) Play Video
99 De Moivre's Theorem Roots of Polar Complex Numbers (19:06) Play Video
100 Introduction to Vectors (42:21) Play Video
101 Writing Vector in terms of Magnitude & Direction Example (9:35) Play Video
102 Vector Application Examples (34:26) Play Video
103 Dot Product & Angle Between Vectors (14:44) Play Video
104 Projection of a Vector onto another Vector (19:48) Play Video
105 Solving Linear Systems with Substitution and Linear Combination (14:58) Play Video
106 Solving 3 Variable Linear Systems Substitution / Gaussian Elimination (25:10) Play Video
107 Applications of 3 Variable Systems (26:43) Play Video
108 Non-Square 3 Variable Linear Systems (13:11) Play Video
109 Partial Fraction Decomposition Part 1 (33:27) Play Video
110 Partial Fractions Decomposition Part 2 (24:18) Play Video
111 2 Variable Non Linear Systems Substitution Method (10:56) Play Video
112 2 Variable Non Linear Systems Addition/Elimination Method (17:39) Play Video
113 Graphing Linear Inequalities (14:59) Play Video
114 Graphing 1 Variable Inequalities (10:46) Play Video
115 Graphing Non-Linear Inequalities (27:23) Play Video
116 Graphing System of Linear Inequalities (17:14) Play Video
117 Graphing Ellipses & Circles (32:34) Play Video
118 Graphing Hyperbolas in Standard Form (36:53) Play Video
119 Graphing Parabolas in Standard Form (25:40) Play Video
120 Application of Ellipses (21:35) Play Video
121 Application of Hyperbolas (16:31) Play Video
122 Applications of Parabolas in Standard Form (12:04) Play Video
123 Rotated Conic Section Identifying & Graphing 4 Examples (59:40) Play Video
124 Introduction to Parametric Equations (30:22) Play Video
125 Parametric Equations Eliminating Parameter T (15:25) Play Video
126 Intro to Sequences (17:51) Play Video
127 Summation Notation (Sigma) (17:36) Play Video
128 Factorial Notation (18:18) Play Video
129 Arithmetic Sequence Introduction (16:45) Play Video
130 Partial Sum Arithmetic Sequence (10:38) Play Video
131 Intro to Geometric Sequences (12:28) Play Video
132 Geometric Means in a Geometric Sequence (19:50) Play Video
133 Partial Sum Geometric Sequences (11:58) Play Video
134 Infinite Sum Geometric Series (11:57) Play Video
135 Converting Repeating Decimal to a Fraction (11:27) Play Video
136 Induction Proofs (30:23) Play Video
137 Binomial Theorem Introduction to Raise Binomials to High Powers (20:53) Play Video
138 Why Limits are Important in Calculus (9:32) Play Video
139 Finding Real limits Graphical & Numerical Approach (17:58) Play Video
140 Properties of Limits (18:46) Play Video
141 Finding Limits with Properties Examples inc Quotients (23:54) Play Video
142 Limits & Continuity (14:14) Play Video
143 Limits of Piecewise Function (19:26) Play Video
144 Slope of Tangent Line Derivative at a Point (26:57) Play Video
145 Finding Derivative with Definition of Derivative (15:27) Play Video