About This Course

Study.com Calculus introduces differential and integral calculus at a first-course level: limits and continuity; differentiation rules and implicit differentiation; applications including related rates, optimization, curve sketching, and linear approximation; definition of the integral, antiderivatives, and the Fundamental Theorem of Calculus; techniques of integration as covered in the course; applications of definite integrals such as area, volumes of revolution, and average value; selected differential equations or modeling previews where applicable. Video lessons, practice, and assessments align with introductory college calculus expectations. Credit is earned through the College Accelerator plan; courses carry ACE and NCCRS recommendations. Always confirm prerequisites and transfer with your receiving institution.

General education & majors

Degree requirements differ by college and catalog year; always verify gen-ed rules and transfer credit with your advisor.

Often labeled Calculus I on transcripts; STEM majors usually continue with multivariable calculus — confirm whether your school requires a specific calculus sequence or placement exam.

What You'll Learn

  • Compute limits and derivatives using algebraic tools and interpret results graphically and in context.
  • Solve optimization and related-rates problems using calculus reasoning appropriate to the course level.
  • Evaluate definite and indefinite integrals and apply the Fundamental Theorem of Calculus.
  • Use integration to compute areas and other quantities emphasized in introductory calculus.
  • Communicate solutions with correct notation and justify steps typical of first calculus assessments.

About Study.com

Study.com offers 220+ online college courses with ACE and NCCRS credit recommendations. College Accelerator plans include video lessons, quizzes, and proctored exams for transferable credit.

Accreditation: ACE- and NCCRS-recommended courses
Location: USA
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