1. To study the Concept of Real Line, Functions and Types of Functions.

2. To study the Solutions of linear in equations, linear in equations involving absolute values and the

solutions of system of linear in equations.

3. To study the Concept of Sequences, Series and Progressions.

4. To study the sum of Natural numbers, Principle of Mathematical induction.

5. To study the basics of Trigonometric functions and their graphs.

6. To study the basic concepts of straight lines and various forms of straight lines.

PUC 1st Year Sem 1 Mathematics Syllabus

Course Content:

**Unit - I FUNCTIONS:**

Introduction to functions, Types of functions, Inverse functions, Exponential function, Logarithmic function, Graphs of functions and Exponential equation.

PUC 1st Year Sem 1 Mathematics Syllabus

**Unit - II (09 Hours) LINEAR INEQUALITIES:**

Linear Inequalities in one variable, Inequalities involving Absolute values, System of linear in equations.

**Unit – III (09 Hours) PROGRESSIONS**: Sequences and series, Arithmetic progression, Geometric progression, Harmonic progression.

PUC 1st Year Sem 1 Mathematics Syllabus

**PRINCIPLE OF MATHEMATICAL INDUCTION:**Sums of Natural Numbers, Principle of Mathematical Induction.

**Unit – IV (10 Hours) TRIGONOMETRIC FUNCTIONS:**Angles and coordinate Lines, Trigonometric functions of acute angles, Trigonometric functions of General angles, Graphs of Trigonometric functions, Reductions to Functions of positive acute angles.

**Unit-V**

**TRIGONOMETRIC FUNCTIONS OF MULTIPLE ANGLES**: (08Hours) Trigonometric functions of two angles, Trigonometric functions of multiple angles, Trigonometric functions of Sub-Multiple angles, Inverse Trigonometric functions.

PUC 1st Year Sem 1 Mathematics Syllabus

**Unit – VI (10 Hours) STRAIGHT LINES**: Cartesian Coordinates, Locus, Slope of a line (Angle between two lines), Various forms of equation of a line, Parallel and perpendicular lines, General equation of a line, Distance of a point from a line( Distance between Parallel lines), Family of lines.

Learning Resources: Text book:

1. “CALCULUS OF EARLY TRANSCENDENTALS” George B. Thomas, Jr. Maurice D. Weir, Joel Hass, Thomas, 12th Edition.