12th Grade Calculus USA

High School Calculus

This resource includes:

-11 Presentations

-11 Worksheets with Solutions

-1 Reference Sheet

-1 Unit Test with Solutions

Unit 1 – Functions, Limits & Continuity

1.1 Review of functions & graphs (domain, range, intercepts, basic families)

1.2 Average rate of change and secant lines

1.3 Intuitive idea of a limit from graphs and tables

1.4 One-sided limits and when limits do not exist

1.5 Limit notation and basic limit laws (sum, difference, product, quotient)

1.6 Evaluating limits algebraically: direct substitution, factoring & canceling

1.7 Limits with radicals and rationalizing techniques

1.8 Infinite limits and vertical asymptotes

1.9 Limits at infinity and horizontal/slant asymptotes

1.10 Continuity at a point and on an interval; removable vs non-removable discontinuities

1.11 Intermediate Value Theorem (IVT) and applications (root existence arguments)