Basic Mathematics Vidyalankar（基本数学Vidyalankar）.pdfVIP

Basic Mathematics F.Y. Diploma : Sem. I EVALUATION SYSTEM Time Marks Theory Exam 3 Hrs. 100 Practical Exam – – Oral Exam − − Term Work  − Sessional Work (Two Test) − 25 (each) SYLLABUS 1. Algebra 1.1 Determinant Specific objectives – Solve simultaneous equations in three variables using Cramers rule.  Definition and expansion of determinant of order 3.  Cramers rule to solve simultaneous equations in three variables. 1.2 Matrices Specific objectives – Perform all algebraic operations on matrices. – Solve simultaneous equations in three variables.  Definition of a matrix of order m x n and types of matrices.  Algebra of matrices with properties and examples.  Transpose of a matrix with properties.  Cofactor of an element of a matrix.  Adjoint of matrix and inverse of matrix by adjoint method.  Solution of simultaneous equations containing two and three unknowns by matrix inversion method. 1.3 Partial Fraction Specific objectives – Find partial fraction of proper and improper fraction.  Definition of fraction, proper, improper fraction and partial fraction.  Resolve proper fractions into partial fraction with denominator containing i) non repeated linear factors, ii) repeated linear factors