Math 145 Notes

[Chloe Sarnoff]

Anall-new Math Notes calculator allows users to type or write out mathematical expressions and see them instantly solved in their own handwriting. They can also assign values to variables when learning new concepts in class, calculating a budget, and more. With a new graphing feature, users can write or type an equation and insert a graph with just one tap, and can even add multiple equations on the same graph to see how they relate. And Math Notes are automatically accessible in the Notes app in the new Math Notes folder.

The basic and scientific calculators on iPad make it easy to view complete expressions before completing them. History helps users keep track of previous calculations, and unit conversions let users quickly convert length, weight, currencies, and more.

The Notes app brings enhancements to typed text, too. For added convenience, users can now organize the content of their notes by collapsing sections under headings or subheadings. And for information that needs to stand out, they can choose from five new text highlight colors.

Messages receives big updates to the ways users express themselves and stay connected. Text formatting like bold, underline, italics, and all-new animated text effects bring iMessage conversations to life, and with redesigned Tapbacks, users can react to a message with any emoji or sticker. Messages in iPadOS 18 introduces the ability to schedule messages to send at a later time, helping users stay fully in control of when and how they are connecting with their closest contacts.

iPadOS 18 gives users even more ways to control who can see their apps, how they share their contacts, and how their iPad connects to accessories. Locked and hidden apps offer users peace of mind that information they want to keep private, such as app notifications and content, will not inadvertently be seen by others. Users can now lock an app; and for additional privacy, they can hide an app, moving it to a locked, hidden apps folder. When an app is locked or hidden, content like messages or emails inside the app are hidden from search, notifications, and other places across the system.

Users also have more control in managing how apps access their information. When an app requires access to contact information, users can now allow access to specific contacts, not the full contact list. To keep other connections on the network private, developers can now seamlessly pair Bluetooth accessories without relying on other accessories nearby.

Deeply integrated into iPadOS 18 and built with privacy from the ground up, Apple Intelligence unlocks new ways for users to enhance their writing and communicate more effectively. With brand-new, systemwide Writing Tools built into iPadOS 18, users can rewrite, proofread, and summarize text nearly everywhere they write, including Mail, Notes, Pages, and third-party apps.

New image capabilities make communication and self-expression even more fun. With Image Playground, users can create playful images in seconds, choosing from three styles: Animation, Illustration, or Sketch. Image Playground is easy to use, built right into apps like Messages, and also available in a dedicated app. In Notes, users can access Image Playground through the new Image Wand in the Apple Pencil tool palette, making notes even more visually engaging.

With the power of Apple Intelligence, Siri takes a major step forward, becoming even more natural, contextually relevant, and personal. Additionally, users can type to Siri, and switch between text and voice to communicate with Siri in whatever way feels right for the moment.

The developer beta of iPadOS 18 is available through the Apple Developer Program at developer.apple.com starting today, and a public beta will be available through the Apple Beta Software Program next month at beta.apple.com. New software features will be available this fall as a free software update for iPad Pro (M4), iPad Pro 12.9-inch (3rd generation and later), iPad Pro 11-inch (1st generation and later), iPad Air (M2), iPad Air (3rd generation and later), iPad (7th generation and later), and iPad mini (5th generation and later). Apple Intelligence will be available in beta on iPhone 15 Pro, iPhone 15 Pro Max, and iPad and Mac with M1 and later, with Siri and device language set to U.S. English, as part of iOS 18, iPadOS 18, and macOS Sequoia this fall. For more information, visit apple.com/ipados/ipados-18-preview and apple.com/apple-intelligence. Features are subject to change. Some features are not available in all regions, all languages, or on all devices. For more information about availability, visit apple.com.

There are many ways to calculate basic math problems and solve algebraic equations, geometric expressions, and trigonometric functions on your iPhone, but Apple just came out with one that will blow you away.

With the upcoming iOS 18 software update (currently in beta), you can type or write simple math problems, equations, expressions, and functions in a note, and the Notes app will solve them for you inline in real time. This is all thanks to a new feature called Math Notes, which is hosted in the Notes app but also accessible from the Calculator app.

Before iOS 18, you could manually calculate math problems using Calculator's built-in scientific calculator, but Math Notes makes it an easier, more natural process. If you have an iPad, you used to have to use Spotlight Search, Siri, or third-party calculators to do any math, but iPadOS 18 (also currently in beta) now has Apple's official Calculator app, and Math Notes is even better when you use an Apple Pencil.

Math Notes calculates and saves mathematical results for you, making it easy to recall important information later. You can start a math note and access your history from the Notes and Calculator apps. You can assign variables in equations and formulas and even update them or their values to change answers in real time. Notes will even automatically plot graphs for you when you need them.

Open Calculator, tap the Calculator icon in the bottom left, choose "Math Notes," and then tap the New Note icon in the bottom right. If you already have math notes saved, you can select one to continue with it.

Whether you open a new or saved math note, you'll see the Calculator icon in the bottom left with the keyboard hidden, and you can use it to go back to "Basic" or "Scientific" mode. In this mode, Math Results are set to "Insert Results" immediately, so you won't have to enter an equal (=) sign when entering math problems.

If you already have at least one official math note saved, open Notes, select the "Math Notes" folder from the parent folders directory, then tap the New Note icon at the bottom right. You can also choose a saved math note to continue with it.

Unlike in Calculator, you won't see any Calculator icon overlayed on the note. Still, Math Results are set to "Insert Results" immediately, so you won't have to enter an equal (=) sign when entering math problems.

If you do not already have at least one official math note saved, open Notes, then tap the New Note icon at the bottom right from the parent folders directory, within the All iCloud folder, or within the On My iPhone (or On My iPad) folder. You can also choose a saved note to continue with it.

When you open a note like this, it acts as a regular note, just as before iOS 18 and iPadOS 18. Math Results are set to "Suggest Results," which means you'll have to enter an equal (=) sign to see any calculations.

Once you have a note open, type in a math problem. For example, in the GIF below, you can see the following mathematical expression typed in both a math note and a regular note. Math Notes works with simple math problems and supports the same functions as Calculator's scientific calculator.

When set to Insert Results, you won't need to type the equal sign, but you will if set to Suggest Results. To approve the calculated inline result, tap the Enter key or the suggestion above the keyboard to accept it.

Instead of typing to replace numbers in the expression, you can highlight the number, tap "Adjust" from the menu, and then scroll left or right on the scrollbar to decrease or increase the value. Again, Notes will update the results inline in real time.

You can also handwrite math problems in math notes or regular notes. As explained above, Math Notes works with simple math problems and supports the same functions as Calculator's scientific calculator.

Tap the Handwriting button in the toolbar, choose the writing utensil, and write your expression out. When you draw the equal sign (=), Notes will insert the solution while matching your handwriting style. You can tap the solution to view the expression and result in typed print and select "Remove Answer" if desired.

You don't need to erase and write new numbers to adjust the values in your expression. Instead, tap a handwritten number, then scroll left or right on the scrollbar to decrease or increase its value. Notes will update the results inline in real time.

Tap the equal sign (=), then "Insert Graph," and the graph will appear nearby and be plotted correctly. You can then make it bigger or smaller and zoom it in and out until you like how it looks in your note. If you adjust any variables, the graph will re-plot itself automatically in real time.

All you have to do is type or write what you want Notes to do. The process is basically the same as solving math equations. Type in or write down what you want to convert, and Notes will suggest the answer. When handwriting or set to "Suggest Results," you must add the equal (=) sign to see the suggestion.

Just updated your iPhone? You'll find new features for Podcasts, News, Books, and TV, as well as important security improvements and fresh wallpapers. Find out what's new and changed on your iPhone with the iOS 17.5 update.

Welcome to my online math tutorials and notes. The intent of this site is to provide a complete set of free online (and downloadable) notes and/or tutorials for classes that I teach at Lamar University. I've tried to write the notes/tutorials in such a way that they should be accessible to anyone wanting to learn the subject regardless of whether you are in my classes or not. In other words, they do not assume you've got any prior knowledge other than the standard set of prerequisite material needed for that class. In other words, it is assumed that you know Algebra and Trig prior to reading the Calculus I notes, know Calculus I prior to reading the Calculus II notes, etc. The assumptions about your background that I've made are given with each description below.

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