d-morrison · Nov 3, 2026 · Nov 2, 2026 · Nov 2, 2026 · Nov 2, 2026 · Nov 2, 2026
diff --git a/_algebra.qmd b/_algebra.qmd
@@ -6,10 +6,10 @@
 
 {{< include mds/_subfiles/_sec_algebra_exponentials.qmd >}}
 
-## Cosine and sine {#sec-cosine-sine}
+# Cosine and sine {#sec-cosine-sine}
 
 {{< include mds/_subfiles/_sec_algebra_trigonometry.qmd >}}
 
-## Complex numbers {#sec-complex-numbers}
+# Complex numbers {#sec-complex-numbers}
 
 {{< include mds/_subfiles/_sec_algebra_complex.qmd >}}
diff --git a/_calc-derivatives.qmd b/_calc-derivatives.qmd
@@ -1,4 +1,4 @@
-### Limits and derivatives {#sec-limits-derivatives}
+## Limits and derivatives {#sec-limits-derivatives}
 
 {{< include mds/_subfiles/derivatives/_def-limit.qmd >}}
 
@@ -62,7 +62,7 @@
 
 {{< include mds/_subfiles/derivatives/_exm-second-derivative.qmd >}}
 
-### Derivative rules {#sec-derivative-rules}
+## Derivative rules {#sec-derivative-rules}
 
 :::{#thm-deriv-const}
 #### Constant rule
@@ -313,7 +313,7 @@ $$
 
 {{< 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 >}}
 
@@ -323,7 +323,7 @@ $$
 
 {{< slidebreak >}}
 
-### Tangent lines {#sec-tangent-lines}
+## Tangent lines {#sec-tangent-lines}
 
 {{< include mds/_subfiles/derivatives/_def-tangent-line.qmd >}}
 
@@ -333,7 +333,7 @@ $$
 
 {{< slidebreak >}}
 
-### Linear approximation {#sec-linear-approximation}
+## Linear approximation {#sec-linear-approximation}
 
 For a differentiable function $f$ and a small step $\smallconst$,
 
@@ -411,7 +411,7 @@ as an affine function for functions of several variables as well.
 
 {{< slidebreak >}}
 
-### Taylor series {#sec-taylor-series}
+## Taylor series {#sec-taylor-series}
 
 {{< include mds/_subfiles/derivatives/_def-taylor-polynomial.qmd >}}
 

diff --git a/_calc-integrals.qmd b/_calc-integrals.qmd
@@ -10,14 +10,14 @@ Calculus and a worked example from probability.
 
 {{< 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 >}}
diff --git a/_expressions-algorithms.qmd b/_expressions-algorithms.qmd
@@ -9,7 +9,7 @@ the parse trees of expressions, and algorithms, which compute those functions.
 
 :::
 
-## Expressions
+# Expressions
 
 {{< include mds/_subfiles/expressions-algorithms/_def-expression.qmd >}}
 
@@ -53,7 +53,7 @@ the parse trees of expressions, and algorithms, which compute those functions.
 
 {{< include mds/_subfiles/expressions-algorithms/_rem-expression-parse-tree.qmd >}}
 
-## Algorithms
+# Algorithms
 
 {{< include mds/_subfiles/expressions-algorithms/_def-algorithm.qmd >}}
 
@@ -81,7 +81,7 @@ the parse trees of expressions, and algorithms, which compute those functions.
 
 {{< include mds/_subfiles/expressions-algorithms/_exm-no-known-algorithm.qmd >}}
 
-## Exercises
+# Exercises
 
 {{< include mds/_subfiles/expressions-algorithms/_exr-expression-or-algorithm.qmd >}}
 

diff --git a/_functions.qmd b/_functions.qmd
@@ -201,7 +201,7 @@ The functions here go between the sets defined on the [Sets](sets.qmd) page.
 
 {{< include mds/_subfiles/functions/_fig-logistic-function.qmd >}}
 
-## Countable sets
+# Countable sets
 
 {{< include mds/_subfiles/functions/_def-finite-set.qmd >}}
 

diff --git a/_growth-rates.qmd b/_growth-rates.qmd
@@ -8,23 +8,23 @@ This page defines the notation for that comparison.
 
 :::
 
-## Upper bounds
+# Upper bounds
 
 {{< include mds/_subfiles/growth-rates/_def-big-o.qmd >}}
 
 {{< slidebreak >}}
 
 {{< include mds/_subfiles/growth-rates/_exm-big-o.qmd >}}
 
-## Lower bounds
+# Lower bounds
 
 {{< include mds/_subfiles/growth-rates/_def-big-omega.qmd >}}
 
 {{< slidebreak >}}
 
 {{< include mds/_subfiles/growth-rates/_exm-big-omega.qmd >}}
 
-## Matching bounds
+# Matching bounds
 
 {{< include mds/_subfiles/growth-rates/_def-big-theta.qmd >}}
 

diff --git a/_indicator-functions.qmd b/_indicator-functions.qmd
@@ -1,5 +1,5 @@
 {{< include latex-macros/macros.qmd >}}
 
-## Indicator functions {#sec-indicator-functions}
+# Indicator functions {#sec-indicator-functions}
 
 {{< include mds/_subfiles/indicator-functions/_sec-indicator-functions.qmd >}}
diff --git a/_induction.qmd b/_induction.qmd
@@ -9,7 +9,7 @@ then adds the stronger form, [strong induction](induction.qmd#def-strong-inducti
 
 :::
 
-## Recursively defined sequences
+# Recursively defined sequences
 
 {{< include mds/_subfiles/induction/_def-recursive-sequence.qmd >}}
 
@@ -25,7 +25,7 @@ then adds the stronger form, [strong induction](induction.qmd#def-strong-inducti
 
 {{< include mds/_subfiles/induction/_exm-fibonacci-sequence.qmd >}}
 
-## Strong induction
+# Strong induction
 
 {{< include mds/_subfiles/induction/_def-strong-induction.qmd >}}
 

diff --git a/_notation.qmd b/_notation.qmd
@@ -43,7 +43,7 @@ which define those terms.
     of the predictor values $x$ with coefficients $\beta$:
     $g(\mu) = \eta$.
 
-## Writing math in Quarto {#sec-writing-math-quarto}
+# Writing math in Quarto {#sec-writing-math-quarto}
 
 The third column of @tbl-notation-collected
 gives the LaTeX command for each symbol.
@@ -56,7 +56,7 @@ These notes also use shorthand macros,
 such as `\floor{x}` for $\floor{x}$,
 defined in the `latex-macros` submodule's `macros.qmd`.
 
-## Subscripts and parentheses {#sec-subscripts-parentheses}
+# Subscripts and parentheses {#sec-subscripts-parentheses}
 
 {{< include mds/_subfiles/notation/_rem-subscript-parentheses-convention.qmd >}}
 
@@ -68,7 +68,7 @@ defined in the `latex-macros` submodule's `macros.qmd`.
 
 {{< include mds/_subfiles/notation/_exm-process-notation.qmd >}}
 
-## Why is notation in probability and statistics so inconsistent and disorganized?
+# Why is notation in probability and statistics so inconsistent and disorganized?
 
 In grad school, 
 we are asked to learn

diff --git a/_number-systems.qmd b/_number-systems.qmd
@@ -10,7 +10,7 @@ even and odd integers, and rational and irrational real numbers.
 
 :::
 
-## Natural numbers {#sec-notation-naturals}
+# Natural numbers {#sec-notation-naturals}
 
 {{< include mds/_subfiles/number-systems/_exr-naturals-below-three.qmd >}}
 
@@ -50,7 +50,7 @@ even and odd integers, and rational and irrational real numbers.
 
 {{< include mds/_subfiles/number-systems/_note-natural-numbers-other-conventions.qmd >}}
 
-## Rational, real, and irrational numbers {#sec-notation-reals}
+# Rational, real, and irrational numbers {#sec-notation-reals}
 
 {{< include mds/_subfiles/number-systems/_def-rational-numbers.qmd >}}
 

diff --git a/_proof-writing.qmd b/_proof-writing.qmd
@@ -6,7 +6,7 @@ Each principle on this page serves that goal.
 The symbols for [logical entailment](#def-logical-entailment) are listed under
 [Definitions for proofs](#sec-proof-definitions) below.
 
-## Definitions for proofs {#sec-proof-definitions}
+# Definitions for proofs {#sec-proof-definitions}
 
 {{< include mds/_subfiles/proof-writing/_def-proposition.qmd >}}
 
@@ -272,11 +272,11 @@ Let's save $\rightarrow$ (`\rightarrow`) for [convergence](algebra.qmd#def-conve
 {{< include mds/_subfiles/proof-writing/_exm-proof-by-contradiction-truth-table.qmd >}}
 
 
-## Don't skip steps {#sec-dont-skip-steps}
+# Don't skip steps {#sec-dont-skip-steps}
 
 {{< include mds/_subfiles/proof-writing/_sec-dont-skip-steps.qmd >}}
 
-## Annotate each step {#sec-annotate-each-step}
+# Annotate each step {#sec-annotate-each-step}
 
 {{< include mds/_subfiles/proof-writing/_sec-annotate-each-step.qmd >}}
 
@@ -317,35 +317,35 @@ The probability notes derive the variance identity
 $\Var{X} = \E{X^2} - \sqf{\E{X}}$
 [in the same annotated style](https://morrison-lab.github.io/pds/variance-covariance.html#thm-variance).
 
-## Direct proof {#sec-direct-proof}
+# Direct proof {#sec-direct-proof}
 
 {{< include mds/_subfiles/proof-writing/_def-direct-proof.qmd >}}
 
 {{< slidebreak >}}
 
 {{< include mds/_subfiles/proof-writing/_exm-direct-proof.qmd >}}
 
-## Proof by contrapositive {#sec-proof-by-contrapositive}
+# Proof by contrapositive {#sec-proof-by-contrapositive}
 
 {{< include mds/_subfiles/proof-writing/_def-proof-by-contrapositive.qmd >}}
 
 {{< slidebreak >}}
 
 {{< include mds/_subfiles/proof-writing/_exm-proof-by-contrapositive.qmd >}}
 
-## Proof by cases {#sec-proof-by-cases}
+# Proof by cases {#sec-proof-by-cases}
 
 {{< include mds/_subfiles/proof-writing/_def-proof-by-cases.qmd >}}
 
 {{< slidebreak >}}
 
 {{< include mds/_subfiles/proof-writing/_exm-proof-by-cases.qmd >}}
 
-## Follow the golden rule {#sec-golden-rule}
+# Follow the golden rule {#sec-golden-rule}
 
 {{< include mds/_subfiles/proof-writing/_sec-golden-rule.qmd >}}
 
-## Proof by induction {#sec-proof-by-induction}
+# Proof by induction {#sec-proof-by-induction}
 
 Many proofs in these notes show that a statement holds
 for every [natural number](number-systems.qmd#def-natural-numbers) $n$,
@@ -365,7 +365,7 @@ The following example uses [summation notation](algebra.qmd#def-summation).
 
 {{< include mds/_subfiles/proof-writing/_exm-induction-sum.qmd >}}
 
-## Formal logic {#sec-formal-logic}
+# Formal logic {#sec-formal-logic}
 
 {{< include mds/_subfiles/proof-writing/_def-propositional-logic.qmd >}}
 

diff --git a/_quarto-website.yml b/_quarto-website.yml
@@ -349,7 +349,7 @@ format:
     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

diff --git a/_relations.qmd b/_relations.qmd
@@ -8,7 +8,7 @@ and the groups of elements that such a relation puts together.
 
 :::
 
-## Properties of relations
+# Properties of relations
 
 {{< include mds/_subfiles/relations/_def-reflexive.qmd >}}
 
@@ -24,7 +24,7 @@ and the groups of elements that such a relation puts together.
 
 {{< include mds/_subfiles/relations/_exm-symmetric-relation.qmd >}}
 
-## Equivalence relations
+# Equivalence relations
 
 {{< include mds/_subfiles/relations/_def-equivalence-relation.qmd >}}
 

diff --git a/_sets-functions.qmd b/_sets-functions.qmd
@@ -8,11 +8,11 @@ The sets and functions fragments no longer open with a section heading,
 so a host page that includes them writes its own Sets and Functions headings;
 the shim writes them here, with ids that differ from the fragments' own anchors. -->
 
-## Sets {#sec-shim-sets}
+# Sets {#sec-shim-sets}
 
 {{< include mds/_sets.qmd >}}
 
-## Functions {#sec-shim-functions}
+# Functions {#sec-shim-functions}
 
 {{< include mds/_functions.qmd >}}
 

diff --git a/_sets.qmd b/_sets.qmd
@@ -123,7 +123,7 @@ the expressions that write functions down and the algorithms that compute them.
 
 {{< include mds/_subfiles/sets/_exm-indexed-family.qmd >}}
 
-## Combining sets
+# Combining sets
 
 {{< include mds/_subfiles/sets/_def-union.qmd >}}
 
@@ -191,7 +191,7 @@ the expressions that write functions down and the algorithms that compute them.
 
 {{< include mds/_subfiles/sets/_exm-cartesian-product.qmd >}}
 
-## Extended non-negative real numbers
+# Extended non-negative real numbers
 
 {{< include mds/_subfiles/sets/_def-extended-nonneg-reals.qmd >}}
 

diff --git a/_subfiles/_sec_algebra_basics.qmd b/_subfiles/_sec_algebra_basics.qmd
@@ -1,4 +1,4 @@
-## Equalities
+# Equalities
 
 {{< include mds/_subfiles/algebra/_note-elementary-algebra-prereq.qmd >}}
 
@@ -24,7 +24,7 @@
 
 {{< include mds/_subfiles/algebra/_exm-identity.qmd >}}
 
-## Inequalities
+# Inequalities
 
 {{< include mds/_subfiles/algebra/_def-strict-inequality.qmd >}}
 
@@ -48,7 +48,7 @@
 
 {{< 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 >}}
 
@@ -84,7 +84,7 @@
 
 {{< 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,
@@ -102,7 +102,7 @@ so "percent" means "per hundred"
 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 >}}
 
@@ -142,7 +142,7 @@ just make sure you execute it correctly.
 
 {{< 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 >}}