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Other references:  A.L. Fetter and J.D. Walecka, Theoretical Mechanics of Particles and Continua - an excellent textbook, the one that was used when I was taught the subject. Does not cover special relativity.D. Tong, Lectures on Classical Dynamics - David Tong is the new Landau. He has lecture notes on everything, freely available online. The classical mechanics notes are great, but organized a little differently than this course.L. Landau & E. Lifshitz, Mechanics - a classic, like all of the Landau & Lifshitz textsV.I. Arnold, Mathematical Methods of Classical Mechanics - dives deep into the mathematical aspects of the subjectChegg, and other homework solutions offered online, are NOT acceptable references for the homeworks, but you may use them for studying. You are encouraged to work and study with your classmates, but your homework must reflect your own work.
Course objectives: Classical mechanics is a broad subject, and we will select topics that develop techniques for analyzing nontrivial classical systems, and topics that are essential for understanding other branches of physics. You are expected to master the major topics covered in the course and be able to solve relevant problems. The course syllabus is available here. Topics will include:Basic principles: The subtleties in Newton's lawsD'Alembert's principle, Lagrangians, and Lagrange's equations of motionVariational methods and Hamilton's principleSystems with constraintsSymmetries and conservation laws:Noether's theoremHamiltonians and Hamilton's equations of motionCentral forcesSmall oscillations and normal modesRigid body motion and non-inertial reference framesCanonical transformations; Hamilton-Jacobi theory; action-angle variablesSpecial relativity
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