Practice to Mastery: U.S. High School Calculus

By Jiazheng Chen

Build real fluency in calculus - one problem at a time.

Practice to Mastery: U.S. High School Calculus is a comprehensive practice workbook that carries students from the precalculus foundations all the way through single-variable and multivariable calculus. With 2,175 carefully sequenced problems across 29 chapters - and a complete, worked-out solution for every single one - it is built to turn passive review into active mastery.

Each chapter focuses on one topic and drills it from every angle, so ideas move from "I've seen this before" to "I can solve this on my own." It is an ideal companion for honors, Advanced Placement, and dual-enrollment students, and an equally strong resource for homeschoolers, self-learners, and college students reviewing the core sequence.

Every chapter includes six distinct question formats, so students practice the way real exams test:

Multiple Choice - 40 questions that build speed and accuracy on essential skillsMultiple Select - choose-all-that-apply items that reward genuine understandingData and Diagram Interpretation - reading graphs, tables, and figuresShort Answer - focused free-response problems with room to show full workApplication and Scenario - putting the mathematics to work in real situationsPassage-Based - multi-step problems that connect concepts together

What sets this workbook apart:

2,175 problems across 29 chapters, spanning functions and trigonometry through limits, derivatives, integrals, sequences and series, vectors, partial derivatives, multiple integrals, and differential equationsA complete answer key with clear, step-by-step explanations for every question, each labeled Easy, Medium, or Hard so students can pace their practice and target weak spotsClean diagrams, graphs, and quick-reference tables that mirror what students meet on testsGenerous workspace to solve problems right on the pageProfessionally typeset mathematics for crisp, readable equations throughout

Topics span the entire pathway: precalculus foundations; limits and continuity; the derivative and its applications; integration and its applications; techniques of integration; differential equations; infinite sequences and series; power series; parametric and polar curves; vectors and three-dimensional geometry; partial derivatives and the gradient; double and triple integrals; vector calculus; and second-order linear equations.

Whether the goal is a unit test, a final exam, the AP Calculus exams, or a strong start in a first college course, Practice to Mastery delivers the repetition, variety, and immediate feedback that build lasting confidence.

Put in the practice. Master the calculus.

• Format: Paperback
• Language: English
• ISBN: 1965630332
• ISBN13: 9781965630334
• Release Date: June 2026
• Publisher: Jiazheng Chen
• Length: 622 Pages
• Weight: 3.13 lbs.
• Dimensions: 1.3" x 8.5" x 11.0"