All tropical storm warnings have been canceled across Southern California as the remnants of Hilary, which no longer meet the threshold of a tropical cyclone, track north, according to Ariel Cohen, meteorologist in charge at the National Weather Service Los Angeles.

Residual mudslides and rockslides are still a threat in California from the weekend rain.

The moisture from Hilary is now moving through the Rockies. On Monday, the flooding threat will be from the Sierra Nevada mountains into the northern Rockies in Idaho and eastern Oregon.

Los Angeles "avoided a potentially catastrophic set of conditions" from Hilary, LAUSD Superintendent Alberto Carvalho said Monday.

Carvalho defended the decision to close LA's public schools on Monday citing reasons including that many students walk to school and many employees live outside of LA.

"It would have been reckless for us to make a different decision" on Sunday, he said.

Schools appear to be in good condition, he said, noting that about 24 schools don't have phone or internet access and one elementary school that serves students with disabilities appears to have been impacted by a mudslide.

Carvalho said students should expect to resume their regular school day on Tuesday.

No deaths or major injuries have been reported in Los Angeles from Tropical Storm Hilary, LA Mayor Karen Bass said at a news conference Monday.

While LA Fire Department Chief Kristin Crowley said no major damage has been confirmed, the mayor warned that "damage can occur in the hours and days after a storm hits, so Angelenos should continue to stay vigilant."

Mudslides and downed wires are also still a threat, Crowley cautioned, adding that residents should continue to avoid flooded roads.

She said rescuers on Sunday night responded to a flooded intersection where five cars were stranded. No one was hurt, she said.

The mayor added that no injuries were reported from Sunday's earthquake, which was unrelated to Hilary.

Rainfall totals from Hilary have reached 13.5 inches in San Bernardino County, California, and 11.7 inches in the mountains of Riverside County, California.

Los Angeles County recorded over 7 inches of rain while Palm Springs saw more than 3 inches, which broke the desert city's all-time daily summer rain record.

Bristlecone, Nevada, northwest of Las Vegas, recorded 8.4 inches of rain, including 6 inches in just 24 hours, breaking the rainfall record for a tropical cyclone or remnant in the state.

Hilary also brought fierce winds. In California, gusts reached a whopping 87 mph in the San Gabriel Mountains and 84 mph at Big Black Mountain.

-ABC News' Max Golembo