#precalc2

Book Ed2 Cont

[Creator & Disclaimer]

Note: learned from OpenStax

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Content

Algebra 1, A2, Precalculus 1

Precalc2 [60%]

Calc1

Calc2 [WIP]

Universal Graphs

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Precalc 2

<—Unit 29

To Do

comp rough pages --> find paper copy and ink it

move coterminal/reference angle

Unit 30: [Formatting]

Unit Circle

Circle Equation

Triangle Facts

Law of Sines + Cosines

Pythag Theorem App

Unit 31 [Rough]

Graphing: sin, cos, tan

G. Reciprocals: csc, sec, cot

Solving w/ inverses

Harmonic Motion

Word Problems

Unit 32 [Org]

Equations

Strategies

Unit 33 [light]

Polar & Cartesian Coordinates

Polar Equation

Parametrize

Misc

[Old stuff]

Calc1

Unit 34— Limits

Notation

Laws

Continuity at a

Thinky Thought Theorems

Proofs x

Unit 35 - Limit vs Derivative {here}

Msec

Linear Approximation

Forms of Mtan

differentiation

graphing

Unit 36 - Derivatives

{ f(x) = x^n, c, cx }

Review & Strategy

Sums and Difference

Product and Quotient

Chain Rule

Unit 37 - Chain & Types

(set g= x^n, cx)

(a+b)^(m/n)

trig(x)

inverse function

trig inverse

a^x & log

e^x, ln(x) lnIxI

Unit 38 - Quirky Apps

implicit differentiation

(x,y,z,t,theta)

application problems

Misc: Proofs

_____old count

Unit 36

Differentials (related rates)

Graphing (new notes rough)

Rules, and Theorems and Bears, Oh My! (Mean Value Theorem, linear Approx, L’Hopital’s Rule)

Misc: [Old notes]

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Calc2

[Old Notes] [New notes]

Unit 37: Integrals& Approx

Basics (approx [reimansums] & accumulation)

Integral Properties (area under shapes)

Theorems & Application (Fundamental Theoem of Calculus, Net Change Theorem, Applications Problems)

Unit 38: Integration

Basics

Center of Mass (1d, 2d, 2d lamina)

Hydrostatic

Arc length

Unit 39

Dishes and Washers

Shells

Volumes of Cross Sections

Surface area w/ arc length

Unit 40

Integration By Parts

Trig Integrals (2 types)

Numerical Integration

Partial Fraction Decomposition

Practice

#1 ASA

*check work: make sure the biggest angle has the longest side, same for the inverse, small angle = shortest side

#2 ASA

*note: it’s tempted to use the side “b” value to solve for side “a”. Don’t. It leads to less errors if you do it from scratch.

#3 ASS Ambiguous Case

Unit 34

Unit 33: Law of Sin / Cos

— Part 1 —>

law of sines / law of cosines /

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Law of Sines

Law of Cosines

Word Problem

#4 using Special Values

…

#1 Solve for Trig Ratios

#2 Find sides w/ ratio & side

*using similar triangles

#3 find side with height & 2 angles

There’s several other angles you could use to solve this one.

#4 Inverse

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Note: idk pythag ID is cos^2(x) + sin^2(x) = 1 —-> idk where I was gettin the pic below.

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Law of Cosines

#4 - SAS

#5 - SSS

#6 - SAS