This textbook is designed to meet the syllabus requirements of the undergraduate students of physics as per the Common Minimum Syllabus prescribed for all Uttar Pradesh State Universities and Colleges under the recommended National Education Policy 2020, for the paper on Mathematical Physics and Newtonian Mechanics and the lab course on Mechanical Properties of Matter. The topics are discussed in a methodical way and a number of topics such as Pseudo-Vector, Pseudo-Scalar, Wedge Product of Vectors, etc, have been discussed in a very systematic and simple manner to suit the beginner learners.