Redesign the front page for a FinTech company.

Bayris

Bayris research: we provide transparency into the stock market and economy. Bayris provides a data-science platform that lets our users easily create models that run on our servers, using data we host. The target audience is quants, individual investors, and investment managers.

http://www.bayris.com

I'd like a professional and modern look, not too cluttered.
The goal is to get users to see the value they'd get from Bayris, and subscribe for the free trial.
I'm open to your color and design ideas. The Bayris logo is currently orange and blue, which looks great on light backgrounds and dark backgrounds.

Page 1: New landing page
I've attached a PDF describing the contents for the landing page
I'd like the new-user form somewhere on the landing page.
I'd also like to keep a slim current-user sign-in form at the top menu bar for easy access. So the top menu bar may need: i) a link to the front page (e.g., the Bayris logo as a button?), ii) "Pricing", iii) "Get Started", and iv) the login-in form.

Page 2: Tutorial page
I've attached a picture of my tutorial notes (use the content, not necessarily its layout and style). Please give me your best tutorial page design that includes:
i) Tutorial sections
ii) Tutorial sub-sections
iii) A tutorial page body that allows me to embed tables, images (e.g., screenshots), and code snippets into the text flow.

Do not include a picture of a large computer screen or laptop screen (with the Bayris UI inside) as the centerpiece of the web page.

All images need to be high-resolution for retina displays (high-DPI displays)