Syllabus for MathematicsI. Algebra
- Sets, Relations, and Functions
- Complex Numbers
- Matrices and Determinants
- Quadratic Equations
- Permutations and Combinations
- Mathematical Induction
- Binomial Theorem and its Applications
- Sequences and Series
- Mathematical Logic
- Boolean Algebra
II. Calculus
- Limits, Continuity, and Differentiability
- Partial Derivatives
- Application of Derivatives
- Indefinite and Definite Integrals
- Differential Equations
- Vector Calculus
- Probability and Statistics
III. Geometry and Trigonometry
- Coordinate Geometry
- Straight Lines and Conic Sections
- Circles and Family of Circles
- Three-dimensional Geometry
- Trigonometric Functions
- Trigonometric Identities and Equations
- Inverse Trigonometric Functions
- Heights and Distances
IV. Mathematical Reasoning
- Statements and Truth Tables
- Implications and Equivalence
- Mathematical Reasoning and Proof Techniques
V. Statistics and Probability
- Measures of Central Tendency and Dispersion
- Random Variables and Probability Distributions
- Statistical Inference
- Regression Analysis
- Sampling Theory
- Hypothesis Testing
- Design of Experiments
VI. Linear Algebra
- Vector Spaces
- Linear Transformations
- Eigenvalues and Eigenvectors
- Orthogonality and Inner Product Spaces
Resources:1. Mathematics Past Year Papers of IIT JAM Mathematics
2. Mathematics Past Year Papers PDF (2005-2021)
3. Mathematics Practice Tests (2019-2014)
Note: The resources mentioned above can be found on EduRev.
This course is helpful for the following exams: IIT JAM, Mathematics