Mathematics and Statistic ( Science and arts ) part One Standard Twelve

Mathematics and Statistics ( Science and arts ) part One

Standard Twelve XII

Mathematics and Statistics ( Science and arts ) part One Standard Twelve

CHAPTERS :

1. Mathematical Logic
2. Matrics
3. Trigonometric Functions
4. Pair of Straight Lines
5. Vectors
6. Line and Plane
7. Linear Programming

1. Mathematical Logic Mathematical Logic The student will be able to

• Identify statement in logic and truth value of it.
• Combine two or more statements
• Construct the truth table and examine logical equivalence of statement patterns
• Find dual and negation of statement pattern
• Study the applications of logic to switching circuits.

2. Matrices Matrices • Identify orders and types of matrices

• Perform basic algebraic operations on matrices.
• Find the inverse of a matrix using elementary transformation and adjoint method
• Solve the system of linear equations using matrices.

3. Trigonometric Functions

Trigonometric Equations
Solution of a triangle
Inverse trigonometric function
• Understand and write trigonometric equation
• Find the principal and general solution of a trigonometric equation.
• Solve triangle by using sine rule, cosine rule and projection rule and find area of a triangle.
• Understand inverse trigonometric functions with domain and range.

4. Pair of straight lines Pair of straight lines

• Write and interpret the combined equation of two straight lines in plane.
• Find the point of intersection of two lines and calculate the acute angle between them
• Study the general second degree equation in x and y with reference to homogeneous part of it

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