Basic Calculus

Lessons for Basic Calculus - Quarter 2

Key Topics:

  1. Limits and Continuity

    • Understanding limits and their properties.

    • Evaluating one-sided and two-sided limits.

    • Types of continuity (pointwise, uniform).

  2. Differentiation

    • Definition of the derivative.

    • Techniques: power rule, product rule, quotient rule, chain rule.

    • Applications: Tangent lines, rates of change.

  3. Applications of Derivatives

    • Finding local maxima and minima.

    • Mean Value Theorem.

    • Analyzing functions using first and second derivative tests.

  4. Integration

    • Introduction to indefinite integrals.

    • Basic techniques: substitution, integration by parts.

    • Understanding definite integrals and the Fundamental Theorem of Calculus.

Study Tips:

  • Regularly practice problems.

  • Use graphing tools for visualization.

  • Engage with peers for collaborative learning.

https://www.studocu.com/ph/document/citi-global-college/general-psychology/specialized-stem-basic-calculus/100881713