Foundations of calculus
This class is also called Freshman Mathematics. The subjects below are copied from the list for Ma 1 class in Caltech Institute.
Subjects
- Mathematical Induction
- Sequences and Series
- Completeness
- Functions
- Integral for Step Functions
- Integral for More General Functions
- Applications of Integration
- Limits
- Continuity
- Intermediate Value Theorem
- Inversion
- Extreme - Value Theorem
- Integrability Theorem
- Mean Value Theorem for Integrals
- Derivatives
- Implicit Differentiation
- Extreme Values
- Mean Value Theorem for Derivatives
- Curve Sketching
- Fundamental Theorem of Calculus
- Integration by Substitution
- Integration by Parts
- Logarithm
- Exponential Function
- Integration by Partial Fractions
- Real Numbers
- Complex Numbers
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