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Calculus by Mind Map: Calculus

1. Base Graphs

1.1. Quadratic Graphs

1.1.1. parabolas

1.2. Cubic Graphs

1.3. Absolute Value Graph

1.4. y = 1/x

1.5. Transformations

1.5.1. Stretches/compressions

1.5.1.1. Horizontal

1.5.1.2. Vertical

1.5.2. Translations

1.5.2.1. Horizontal

1.5.2.1.1. right

1.5.2.1.2. left

1.5.2.2. Vertical

1.5.2.2.1. up

1.5.2.2.2. down

1.5.3. Reflections

1.5.3.1. on the y-axis

1.5.3.2. on the x-axis

1.6. Adding sequences to find series

2. Logarithmic and Exponential Equations

2.1. Word Problems

2.2. Solving

2.3. Graphing

2.4. inverses of one another

3. Trigonometry

3.1. Solving triangles

3.1.1. right angled triangles

3.1.2. Sine and Cosine Laws

3.2. basic trig functions

3.2.1. sine

3.2.2. cosine

3.2.3. tangent

3.2.4. cotangent

3.2.5. secant

3.2.6. cosecant

3.3. graphing

3.3.1. sine

3.3.2. cosine

3.3.3. tangent

3.3.4. transformations

3.4. identities

3.4.1. reciprocal

3.4.2. pythagorean

3.4.3. cofunctions

3.5. The unit circle

3.5.1. used to determine vlaue of sine and cosine of different angles

3.5.2. also used to solve trig equations

4. Sequences and Series

4.1. Definitions

4.2. Finding general terms

4.3. Arithmetic Sequences

4.4. Geometric Sequences