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12 changes: 6 additions & 6 deletions _calc-derivatives.qmd
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### Limits and derivatives {#sec-limits-derivatives}
## Limits and derivatives {#sec-limits-derivatives}

{{< include mds/_subfiles/derivatives/_def-limit.qmd >}}

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{{< include mds/_subfiles/derivatives/_exm-second-derivative.qmd >}}

### Derivative rules {#sec-derivative-rules}
## Derivative rules {#sec-derivative-rules}

:::{#thm-deriv-const}
#### Constant rule
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{{< include mds/_subfiles/calculus-review/_exr-miller-deriv-second-log-constant.qmd >}}

### Studying a new function {#sec-function-profile}
## Studying a new function {#sec-function-profile}

{{< include mds/_subfiles/derivatives/_def-function-profile.qmd >}}

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{{< slidebreak >}}

### Tangent lines {#sec-tangent-lines}
## Tangent lines {#sec-tangent-lines}

{{< include mds/_subfiles/derivatives/_def-tangent-line.qmd >}}

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{{< slidebreak >}}

### Linear approximation {#sec-linear-approximation}
## Linear approximation {#sec-linear-approximation}

For a differentiable function $f$ and a small step $\smallconst$,

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{{< slidebreak >}}

### Taylor series {#sec-taylor-series}
## Taylor series {#sec-taylor-series}

{{< include mds/_subfiles/derivatives/_def-taylor-polynomial.qmd >}}

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6 changes: 3 additions & 3 deletions _calc-integrals.qmd
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{{< slidebreak >}}

### Antiderivatives
## Antiderivatives

{{< include mds/_subfiles/_calc_antiderivatives.qmd >}}

### Regularity Conditions
## Regularity Conditions

{{< include mds/_subfiles/_calc_integrals_regularity.qmd >}}

### Fundamental Theorem of Calculus
## Fundamental Theorem of Calculus

{{< include mds/_subfiles/_calc_integrals_ftc.qmd >}}
2 changes: 1 addition & 1 deletion _quarto-website.yml
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incremental: false
df-print: paged
number-depth: 2
shift-heading-level-by: 0
shift-heading-level-by: 1
slide-level: 2
scrollable: true
echo: true
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12 changes: 6 additions & 6 deletions _subfiles/_sec_algebra_basics.qmd
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## Equalities
# Equalities

{{< include mds/_subfiles/algebra/_note-elementary-algebra-prereq.qmd >}}

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{{< include mds/_subfiles/algebra/_exm-identity.qmd >}}

## Inequalities
# Inequalities

{{< include mds/_subfiles/algebra/_def-strict-inequality.qmd >}}

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{{< include mds/_subfiles/algebra/_thm-negative-one.qmd >}}

## Powers, square roots, and absolute values {#sec-powers-roots-abs}
# Powers, square roots, and absolute values {#sec-powers-roots-abs}

{{< include mds/_subfiles/algebra/_def-power.qmd >}}

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{{< include mds/_subfiles/algebra/_rem-absolute-value-distance.qmd >}}

## Percent {#sec-percent}
# Percent {#sec-percent}

The word "percent" comes from the Latin "per centum";
"centum" is Latin for 100,
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You are welcome to switch between decimal and percent notation freely;
just make sure you execute it correctly.

## Minimum, maximum, argmin and argmax {#sec-min-max}
# Minimum, maximum, argmin and argmax {#sec-min-max}

{{< include mds/_subfiles/algebra/_exr-min-and-argmin.qmd >}}

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{{< include mds/_subfiles/algebra/_exm-negative-part.qmd >}}

## Global and local minimizers {#sec-minimizers}
# Global and local minimizers {#sec-minimizers}

{{< include mds/_subfiles/algebra/_exr-local-vs-global-min.qmd >}}

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10 changes: 5 additions & 5 deletions _subfiles/_sec_algebra_exponentials.qmd
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## Polynomials {#sec-polynomials}
# Polynomials {#sec-polynomials}

{{< include mds/_subfiles/algebra/_exr-polynomial-degree.qmd >}}

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{{< include mds/_subfiles/algebra/_exm-monomial-degree.qmd >}}

## Affine and linear functions of one variable {#sec-affine-linear-functions}
# Affine and linear functions of one variable {#sec-affine-linear-functions}

{{< include mds/_subfiles/algebra/_def-affine-function.qmd >}}

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{{< include mds/_subfiles/algebra/_thm-affine-function-props.qmd >}}

## Limits of sequences {#sec-sequence-limits}
# Limits of sequences {#sec-sequence-limits}

{{< include mds/_subfiles/algebra/_def-sequence-limit.qmd >}}

{{< slidebreak >}}

{{< include mds/_subfiles/algebra/_def-diverges-to-infinity.qmd >}}

## Series {#sec-series}
# Series {#sec-series}

{{< include mds/_subfiles/algebra/_def-non-decreasing.qmd >}}

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{{< include mds/_subfiles/algebra/_lem-nonneg-series.qmd >}}

## Exponentials and Logarithms
# Exponentials and Logarithms

{{< include mds/_subfiles/algebra/_def-exponential-function.qmd >}}

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18 changes: 9 additions & 9 deletions _subfiles/_sec_algebra_sums.qmd
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## Convex functions {#sec-convexity}
# Convex functions {#sec-convexity}

{{< include mds/_subfiles/algebra/_exr-convex-chord.qmd >}}

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{{< include mds/_subfiles/algebra/_exm-jensen.qmd >}}

## Infimum and supremum
# Infimum and supremum

{{< include mds/_subfiles/algebra/_def-bounded.qmd >}}

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{{< include mds/_subfiles/algebra/_exm-supremum.qmd >}}

## Sums
# Sums

{{< include mds/_subfiles/algebra/_def-term.qmd >}}

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{{< include mds/_subfiles/algebra/_thm-sum-assoc.qmd >}}

## Products
# Products

<!-- heading shares the slide; do not re-flag -->

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{{< include mds/_subfiles/algebra/_thm-prod-assoc.qmd >}}

## Division
# Division

{{< include mds/_subfiles/algebra/_thm-prod-div.qmd >}}

## Sums and products together
# Sums and products together

<!-- heading shares the slide; do not re-flag -->

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{{< include mds/_subfiles/algebra/_thm-square-of-a-sum.qmd >}}

## Summation notation {#sec-summation}
# Summation notation {#sec-summation}

{{< include mds/_subfiles/algebra/_exr-expand-a-sum.qmd >}}

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{{< include mds/_subfiles/algebra/_exm-sum-over-empty-set.qmd >}}

## Quotients
# Quotients

{{< include mds/_subfiles/algebra/_def-quotient.qmd >}}

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{{< include mds/_subfiles/algebra/_prose-proportion-reference.qmd >}}

## Limits of sums and notational shorthands {#sec-notational-shorthands}
# Limits of sums and notational shorthands {#sec-notational-shorthands}

{{< include mds/_subfiles/algebra/_sec-notational-shorthands.qmd >}}
2 changes: 1 addition & 1 deletion _subfiles/_sec_calculus_derivatives.qmd
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## Derivatives {#sec-derivatives}
# Derivatives {#sec-derivatives}

{{< include mds/_calc-derivatives.qmd >}}
2 changes: 1 addition & 1 deletion _subfiles/_sec_calculus_double_integrals.qmd
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## Double Integrals {#sec-double-integrals}
# Double Integrals {#sec-double-integrals}

{{< include mds/_subfiles/_fubini_intro_thm.qmd >}}

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2 changes: 1 addition & 1 deletion _subfiles/_sec_calculus_integration.qmd
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## Integration {#sec-integration}
# Integration {#sec-integration}

{{< include mds/_calc-integrals.qmd >}}
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