UNIT-I Evaluating Algebraic Expressions Order of operations Evaluating algebraic expressions Linear Equations Translating algebraic expressions Combining like terms Solving linear equations: Addition property Solving linear equations: Multiplication property Combining rules Literal equations Solving linear inequalities Graphing Linear Equations Linear equations in two variables The Cartesian coordinate system The graph of a linear equation Slope Point-slope form of a line Graphing linear inequalities UNIT-II Systems of Linear Equations Systems of equations in two variables (addition/elimination) Operations with polynomials Positive integer exponents Zero and negative integer exponents Definition of polynomials Addition and subtraction of polynomials Multiplying polynomials Factoring polynomials Introduction to factoring Difference of squares Quadratic trinomials Solving equations by factoring Some word problems involving quadratic equations UNIT-III Radical expressions and complex numbers Introduction to roots and radicals Simplifying radical expressions [No variables] Operations with radical expressions [No rationalizing binomials] Complex numbers [ notation only, no operations] Quadratic equations and some conics Special methods, completing the square The quadratic formula Parabolas [Graph by table] UNIT-IV SETS: Sets,subsets,equal sets,null set,universal set,finite & infinite sets,open & closed sets etc., operations on sets, partition of sets, cartesian product. DIFFERENTIATION: Derivative, derivatives of sum, differences, product & quotients, chain rule, derivatives of composite functions . UNIT-V INTEGRATION Integral as limit of a sum, indefinite & definite integrals, methods of integration substitution, by parts, partial fractions, integration of algebraic and transcedental functions PLANE CURVES & POLAR COORDINATES: Polar coordinates, curve tracing in polar coordinates, area in polar coordinates, Arc length, area & volume of surface of revolution in Cartesian and polar coordinates. Text/Reference Books 1. C. L. Liu.: Elements of Discrete Mathematics , Tata Mac-Graw Hill. 2. Thomas, G.B. and R. L. Finney: Calculus & Analytical Geometry, Addison-Wesley , 9th edition. 3. Chandrika Prasad : Mathematics for Engineers, Prasad Mudranalaya, Allahabad, 19th edition 4. Shanti Narayan: Differential Calculus, S.Chand & Co. 5. Shanti Narayan: Integral Calculus, S.Chand & Co.