CMT course is conducted by MTA and you have to give the exam at a Prometric centre (just like GMAT)
You can complete the course, by self study, no need for any tutors or courses.
Here are the books you need to study.
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CMT Books Complete
CMT LEVEL 1
du Plessis, Jeremy, The Definitive Guide to Point and Figure
Edwards, Robert D. and Magee, John, Technical Analysis of Stock Trends, 9th Edition
Kirkpatrick, Charles D. and Dahlquist, Julie, Technical Analysis: The Complete Resource for Financial Market Technicians
Pring, Martin J. Technical Analysis Explained, 4th Edition
CMT LEVEL 2
Aronson, David, Evidence Based Technical Analysis
du Plessis, Jeremy, The Definitive Guide to Point and Figure
Edwards, Robert D. & Magee, John. Technical Analysis of Stock Trends
Frost, A.J. and Prechter, Robert. Elliott Wave Principle, Tenth Edition
Kaufman, Perry J. Trading Systems and Methods, 4th Edition
Kirkpatrick, Charles D. and Dahlquist, Julie, Technical Analysis: The Complete Resource for Financial Market Technicians
Nison, Steve. Japanese Candlestick Charting Techniques, 2nd Edition
Pring, Martin J. Investment Psychology Explained
Pring, Martin J. Technical Analysis Explained, 4th Edition
Wilkinson, Chris. Excerpts from Technically Speaking
CMT LEVEL 3
Brown, Constance. Technical Analysis for the Trading Professional
du Plessis, Jeremy, The Definitive Guide to Point and Figure
Frost, A.J. and Prechter, Robert. Elliott Wave Principle, Tenth Edition
Murphy, John. Intermarket Analysis: Profiting From Global Market Relationships
Nison, Steve. Japanese Candlestick Charting Techniques, 2nd Edition
Shiller, Robert. Irrational Exuberance, 2nd Edition