| Module-I |
Functions and Their Graphs
- Lines in the Plane
- Types of Functions
- Graphs of Functions
- Shifting, Reflecting, and Stretching Graphs
- Composition of Functions
- Inverse of a Function
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| Module-II |
Polynomial and Rational Functions
- Polynomial Functions and Models
- Graphing Polynomial Functions
- Zeros of Polynomial Functions
- Complex Numbers
- Rational Functions
- Graph of a Rational Functions
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| Module-III |
Exponential and Logarithmic Functions
- Exponential Functions and Their Graphs
- Logarithmic Functions and Graphs
- Properties of Logarithmic Functions
- Solving Exponential and Logarithmic Equations
- Applications and Models: Growth and Decay, and Compound Interest
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| Module-IV |
Trigonometric Functions
- Radian and Degree Measure
- Trigonometric Functions: The Unit Circle
- Right Triangle Trigonometry
- Trigonometric Functions of Any Angle
- Graphs of Trigonometric Functions
- Inverse Trigonometric Functions
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| Module-V |
Trigonometric Identities and Equations
- Using Fundamental identities
- Verifying Trigonometric identities
- Solving Trigonometric Equations
- Sum and Difference Formulas
- Multiple-Angle and Product-to-Sum Formulas
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| Module-VI |
Applications of Trigonometry
- Law of Sines
- Law of Cosines
- Vectors in the Plane
- Vectors and Dot Products
- Trigonometric Form of a Complex Number
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| Module-VII |
Systems of Equations and Matrices
- Solving Systems of Equations
- Systems of Linear Equations in Two Variables
- Systems of Equations in Three Variables
- Matrices and Systems of Equations
- Operations with Matrices
- The Inverse of a Square Matrix
- The Determinant of a Square Matrix
- Applications of Matrices and Determinants
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| Module-VIII |
Sequences, Series, and Probability
- Sequences and Series
- Arithmetic Sequences and Series
- Geometric Sequences and Series
- Mathematical Induction
- The Binomial Theorem
- Counting Principles
- Probability
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| Module-IX |
Analytic Geometry |