12th-grade math skills & concepts to know for better grades 

Here are the important topics in 12th grade math:

Calculus

• Limits and Continuity
• Derivatives and Differentiation
• Applications of Derivatives
• Integration and Antiderivatives
• Techniques of Integration
• Applications of Integrals
• Parametric and Polar Equations
• Sequences and Series
• Taylor and Maclaurin Series
• Differential Equations
• Multivariable Calculus
• Vector Calculus

Advanced Algebra

• Matrices
• Determinants
• Systems of Equations and Inequalities
• Vectors and Vector Spaces
• Complex Numbers and Roots of Unity
• Linear Algebra

Advanced Geometry

• Analytic Geometry
• Three-Dimensional Geometry
• Non-Euclidean Geometry

Advanced Trigonometry

• Advanced Trigonometric Identities
• Trigonometric Equations
• Inverse Trigonometric Functions
• Complex Numbers in Trigonometry

Statistics and Probability

• Probability Distributions
• Statistical Inference
• Hypothesis Testing
• Regression Analysis
• Multivariate Statistics

Discrete Mathematics

• Combinatorics
• Graph Theory
• Number Theory
• Logic and Set Theory

Advanced Topics

• Mathematical Modeling
• Numerical Analysis
• Differential Geometry
• Abstract Algebra

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