~j-james/math

79e731a87845101f942bacf676a117b25c37efd1 — j-james 27 days ago 807946c
Switch to layout structure
48 files changed, 159 insertions(+), 65 deletions(-)

M README.md
R _includes/{mathjax.html => efault.html}
M calculus/2-0-limits.md
M calculus/3-1-2-definition-of-the-derivative.md
M calculus/3-3-differentiation-rules.md
M calculus/3-4-rates-of-change.md
M calculus/3-5-5-squeeze-theorem-and-limit-of-composite-functions.md
M calculus/3-5-derivatives-of-trigonometric-functions.md
M calculus/3-6-chain-rule.md
M calculus/3-8-derivatives-of-inverse-functions.md
M calculus/3-9-derivatives-of-exponential-and-logarithmic-functions.md
M calculus/4-1-extreme-values-of-functions.md
M calculus/4-2-mean-value-theorem.md
M calculus/4-3-using-derivatives-to-analyze-graphs-of-functions.md
M calculus/4-6-related-rates.md
M calculus/5-1-estimating-with-finite-sums.md
M calculus/5-2-riemann-sums-and-definite-integrals.md
M calculus/5-3-integrals-and-antiderivatives.md
M calculus/6-1_slope-fields-and-eulers-method.md
M calculus/6-2-u-substitution-rule.md
M calculus/6-3-3-trigonometric-substitution.md
M calculus/6-3-integration-by-parts.md
M calculus/7-3_volume-as-an-integral.md
M calculus/7-4_length-of-a-curve.md
M calculus/7-5_work-and-force.md
M calculus/8-2_lhopitals-rule.md
M calculus/study-guide.md
M numerical_derivatives_and_integrals.md
M precalculus/3d-space-and-vectors.md
M precalculus/binomial-theorem.md
M precalculus/classification-and-rotation-of-conics.md
M precalculus/dot-product-of-vectors-in-the-plane.md
M precalculus/eccentricity-and-orbits.md
M precalculus/fundamental-trig-identities.md
M precalculus/graphs-of-tangent-and-reciprocal-functions.md
M precalculus/intro-to-polar-coordinates.md
M precalculus/matrices.md
M precalculus/numerical-derivatives-and-integrals.md
M precalculus/partial-fractions.md
M precalculus/permutations-and-combinations.md
M precalculus/polar-equations-of-conics.md
M precalculus/probability.md
M precalculus/prove-trig-identities.md
M precalculus/sequences.md
M precalculus/series.md
M precalculus/solving-exponential-and-logs.md
M precalculus/solving-non-simple-exponential-functions.md
M precalculus/vectors-in-the-plane.md
M README.md => README.md +0 -4
@@ 1,7 1,3 @@
<head>
  <link rel='icon' type='image/jpg' href='https://j-james.me/assets/compass.jpg'/>
</head>

# math

Notes from Scott Druker's calculus classes. Written in a combination of Markdown, HTML, and LaTeX.

R _includes/mathjax.html => _layouts/default.html +18 -12
@@ 1,12 1,18 @@
<head>
	<meta charset="UTF-8"/>
	<link rel="icon" type="image/jpg" href="https://j-james.me/assets/compass.jpg"/>
	<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.css" crossorigin="anonymous">
	<script defer src="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.js" crossorigin="anonymous"></script>
	<script defer src="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/contrib/auto-render.min.js" crossorigin="anonymous"
		onload='renderMathInElement(document.body, {delimiters: [
			{left: "$$", right: "$$", display: true},
			{left: "$", right: "$", display: false}
		]});'>
	</script>
</head>
<!DOCTYPE html>
<html dir="ltr" lang="en-US">
	<head>
		<meta charset="UTF-8"/>
		<link rel="icon" type="image/jpg" href="https://j-james.me/assets/compass.jpg"/>
		<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.css" crossorigin="anonymous">
		<script defer src="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.js" crossorigin="anonymous"></script>
		<script defer src="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/contrib/auto-render.min.js" crossorigin="anonymous"
			onload='renderMathInElement(document.body, {delimiters: [
				{left: "$$", right: "$$", display: true},
				{left: "$", right: "$", display: false}
			]});'>
		</script>
	</head>
	<body>
		{{ content }}
	</body>
</html>

M calculus/2-0-limits.md => calculus/2-0-limits.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 2-0 Limits


M calculus/3-1-2-definition-of-the-derivative.md => calculus/3-1-2-definition-of-the-derivative.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 3-1 and 3-2 Definition of the Derivative and Differentiability


M calculus/3-3-differentiation-rules.md => calculus/3-3-differentiation-rules.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 3-3 Differentiation Rules


M calculus/3-4-rates-of-change.md => calculus/3-4-rates-of-change.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 3-4 Rates of Change


M calculus/3-5-5-squeeze-theorem-and-limit-of-composite-functions.md => calculus/3-5-5-squeeze-theorem-and-limit-of-composite-functions.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 3-5-5 Squeeze Theorem and Limit of Composite Functions


M calculus/3-5-derivatives-of-trigonometric-functions.md => calculus/3-5-derivatives-of-trigonometric-functions.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 3-5 Derivatives of Trigonometric Functions


M calculus/3-6-chain-rule.md => calculus/3-6-chain-rule.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 3-6 Chain Rule


M calculus/3-8-derivatives-of-inverse-functions.md => calculus/3-8-derivatives-of-inverse-functions.md +3 -1
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{% include mathjax.html %}
---
layout: default
---

# 3-8 Derivatives of Inverse Functions


M calculus/3-9-derivatives-of-exponential-and-logarithmic-functions.md => calculus/3-9-derivatives-of-exponential-and-logarithmic-functions.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 3-9 Derivatives of Exponential and Logarithmic Functions


M calculus/4-1-extreme-values-of-functions.md => calculus/4-1-extreme-values-of-functions.md +3 -1
@@ 1,4 1,6 @@
{%  include mathjax.html %}
---
layout: default
---

# 4-1 Extreme Values of Functions


M calculus/4-2-mean-value-theorem.md => calculus/4-2-mean-value-theorem.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 4-2 Mean Value Theorem


M calculus/4-3-using-derivatives-to-analyze-graphs-of-functions.md => calculus/4-3-using-derivatives-to-analyze-graphs-of-functions.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 4-3 Using Derivatives to Analyze Graphs of Functions


M calculus/4-6-related-rates.md => calculus/4-6-related-rates.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 4-6 Related Rates


M calculus/5-1-estimating-with-finite-sums.md => calculus/5-1-estimating-with-finite-sums.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 5-1 Estimating with Finite Sums


M calculus/5-2-riemann-sums-and-definite-integrals.md => calculus/5-2-riemann-sums-and-definite-integrals.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 5-2 Riemann Sums and Definite Integrals


M calculus/5-3-integrals-and-antiderivatives.md => calculus/5-3-integrals-and-antiderivatives.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 5-3 Integrals and Antiderivatives


M calculus/6-1_slope-fields-and-eulers-method.md => calculus/6-1_slope-fields-and-eulers-method.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 6-1 Slope Fields and Euler's Method


M calculus/6-2-u-substitution-rule.md => calculus/6-2-u-substitution-rule.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 6-2 u-substitution rule


M calculus/6-3-3-trigonometric-substitution.md => calculus/6-3-3-trigonometric-substitution.md +3 -2
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{% include mathjax.html %}
---
layout: default
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# 6-3-3 Trigonometric Substitution



@@ 28,4 30,3 @@ $$4\int \cos^2\theta d\theta$$
$$2[\sin\theta\cos\theta + \theta] + C$$

$$2[\frac x2  + \arcsin \frac x2] + C$$


M calculus/6-3-integration-by-parts.md => calculus/6-3-integration-by-parts.md +3 -2
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
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# 6-3 Integration by Parts



@@ 41,4 43,3 @@ Order in which to calculate
$$\int_0^1 \frac{2x + 1}{e^x} dx$$

$$\int e^{2x} \sin x dx$$


M calculus/7-3_volume-as-an-integral.md => calculus/7-3_volume-as-an-integral.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 7-3 Volume as an Integral


M calculus/7-4_length-of-a-curve.md => calculus/7-4_length-of-a-curve.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# 7-4 Finding the Length of a Curve


M calculus/7-5_work-and-force.md => calculus/7-5_work-and-force.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
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# 7-5 Applications of Integrals


M calculus/8-2_lhopitals-rule.md => calculus/8-2_lhopitals-rule.md +3 -1
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{% include mathjax.html %}
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# 8-2 L'Hopital's Rule


M calculus/study-guide.md => calculus/study-guide.md +6 -2
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{% include mathjax.html %}
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layout: default
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# AP Calculus ABC Study Guide



@@ 148,7 150,9 @@ Calculus C includes
## Example

```
{% include mathjax.html %}
---
layout: default
---
# Unit-Chapter Title

## Learning Targets

M numerical_derivatives_and_integrals.md => numerical_derivatives_and_integrals.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# More on Limits and calculating Numerical Derivatives / Integrals


M precalculus/3d-space-and-vectors.md => precalculus/3d-space-and-vectors.md +3 -1
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{% include mathjax.html %}
---
layout: default
---

# 3D Space and Vectors


M precalculus/binomial-theorem.md => precalculus/binomial-theorem.md +3 -1
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{% include mathjax.html %}
---
layout: default
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# Binomial Theorem


M precalculus/classification-and-rotation-of-conics.md => precalculus/classification-and-rotation-of-conics.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# Classification and Rotation of Conics


M precalculus/dot-product-of-vectors-in-the-plane.md => precalculus/dot-product-of-vectors-in-the-plane.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# Dot Product of Vectors in the Plane


M precalculus/eccentricity-and-orbits.md => precalculus/eccentricity-and-orbits.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
---

# Eccentricity and Orbits


M precalculus/fundamental-trig-identities.md => precalculus/fundamental-trig-identities.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
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# Fundamental Trigonometric Identities


M precalculus/graphs-of-tangent-and-reciprocal-functions.md => precalculus/graphs-of-tangent-and-reciprocal-functions.md +3 -1
@@ 1,4 1,6 @@
{% include mathjax.html %}
---
layout: default
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# Graphs of Tangent and Reciprocal Functions


M precalculus/intro-to-polar-coordinates.md => precalculus/intro-to-polar-coordinates.md +3 -1
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{% include mathjax.html %}
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# Intro to Polar coordinates


M precalculus/matrices.md => precalculus/matrices.md +3 -1
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{% include mathjax.html %}
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# Matrices


M precalculus/numerical-derivatives-and-integrals.md => precalculus/numerical-derivatives-and-integrals.md +3 -1
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{% include mathjax.html %}
---
layout: default
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# More on Limits and using calculator for Numerical Derivatives and Integrals


M precalculus/partial-fractions.md => precalculus/partial-fractions.md +3 -1
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{% include mathjax.html %}
---
layout: default
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# Partial Fractions


M precalculus/permutations-and-combinations.md => precalculus/permutations-and-combinations.md +3 -1
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{% include mathjax.html %}
---
layout: default
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# Permutations and Combinations


M precalculus/polar-equations-of-conics.md => precalculus/polar-equations-of-conics.md +3 -1
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{% include mathjax.html %}
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# Polar Equations of Conics


M precalculus/probability.md => precalculus/probability.md +3 -1
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{% include mathjax.html %}
---
layout: default
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# Probability


M precalculus/prove-trig-identities.md => precalculus/prove-trig-identities.md +3 -1
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{% include mathjax.html %}
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# Prove Trig Identities


M precalculus/sequences.md => precalculus/sequences.md +3 -1
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{% include mathjax.html %}
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layout: default
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# Sequences


M precalculus/series.md => precalculus/series.md +3 -1
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{% include mathjax.html %}
---
layout: default
---

# Series


M precalculus/solving-exponential-and-logs.md => precalculus/solving-exponential-and-logs.md +3 -1
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{% include mathjax.html %}
---
layout: default
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# Solving Exponential and Logs


M precalculus/solving-non-simple-exponential-functions.md => precalculus/solving-non-simple-exponential-functions.md +3 -1
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{% include mathjax.html %}
---
layout: default
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# Solving Non Simple Exponential Functions


M precalculus/vectors-in-the-plane.md => precalculus/vectors-in-the-plane.md +3 -1
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{% include mathjax.html %}
---
layout: default
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# Vectors in the Plane