Disable Email Notifications:
1. Go to Tools -> Options
2. Under Preferences Tab click on E-mail Options… under E-mail area
3. In E-mail Options click on Advanced E-mail Options…
4. Locate the “When new items arrive in my Inbox” area and underneath you can check/uncheck the 4 Notification options (i.e. Play Sound, Briefly change the mouse cursor, Show an envelope icon in the notification area, Display a New Mail Desktop Alert)
5. Click OK 3 Times once you have made the desired changes
Disable Calendar Notifications:
Method 1:
1. Go to Tools -> Options
2. Under Preferences Tab find the Calendar section
3. Uncheck Default reminder box
4. Click OK
If the above(Method 1) did not work for you follow the below Method 2.
Method 2(ONLY if Method 1 failed:
1. Go to Tools -> Options
2. Click the Other tab, and then click Advanced Options under General
3. Towards the bottom of the Advance Options window click Reminder Options
4. Clear the Display the reminder check box
5. Click OK 3 Times once you have made the desired changes