diff --git a/.travis.yml b/.travis.yml
index 526bac0e..2bcd0c2c 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,23 +1,30 @@
+sudo: false
 language: python
 cache: pip
-python:
-  - "3.6"
-  - "3.5"
-  - "3.4"
-  - "3.3"
-  - "2.7"
-  - "2.6"
-
-sudo: false
 
-# command to install dependencies, e.g. pip install -r requirements.txt
-# These packages only exist on Ubuntu 13.04 and newer:
-# No dependencies currently unless using Python 2.6.
+matrix:
+  include:
+    - python: 2.7
+    - python: 3.4
+    - python: 3.5
+    - python: 3.6
+    - python: 3.7
+      dist: xenial    # required for Python 3.7 (travis-ci/travis-ci#9069)
+      sudo: required  # required for Python 3.7 (travis-ci/travis-ci#9069)
 
 install:
-  - if [[ $TRAVIS_PYTHON_VERSION == 2.6* ]]; then pip install -r requirements_py26.txt; fi
   - python setup.py install
 
+before_script:
+  # Run flake8 tests only on Python 2.7 and 3.7...
+  # 1) stop the build if there are Python syntax errors or undefined names
+  # 2) exit-zero treats all errors as warnings.  The GitHub editor is 127 chars wide
+  - if [[ $TRAVIS_PYTHON_VERSION == *.7 ]]; then
+      pip install flake8;
+      flake8 . --count --exit-zero --select=E901,E999,F821,F822,F823 --show-source --statistics;
+      flake8 . --count --exit-zero --max-complexity=10 --max-line-length=127 --statistics; 
+    fi
+
 # command to run tests, e.g. python setup.py test
 
 script: