Based on the complexity of the concepts covered under calculus, we classify the topics under different categories as listed below,
- Precalculus
- Calculus 1
- Calculus 2
Precalculus
Precalculus in mathematics is a course that includes trigonometry and algebra designed to prepare students for the study of calculus. In precalculus, we focus on the study of advanced mathematical concepts including functions and quantitative reasoning. Some important topics covered under precalculus are,
- Functions
- Inverse Functions
- Complex Numbers
- Rational Function
Calculus 1
Calculus 1 covered the topics mainly focusing on differential calculus and the related concepts like limits and continuity. Some of the topics covered under calculus 1 are,
- Limits
- Derivatives
- Applications of Derivatives
- Integrals
Calculus 2
Calculus 2 focuses on the mathematical study of change first introduced during the curriculum of Calculus 1. Some of the important topics under Calculus 2 are,
- Differential Equations
- Sequence and Series
- Application of Integrals
- Trapezoidal Rule
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