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Practice to Mastery: U.S. High School Calculus
Paperback
Series: Practice to Mastery
ISBN13: 9781965630334
Publisher: Jiazheng Chen
Published: Jun 10 2026
Pages: 622
Weight: 3.13
Height: 1.25 Width: 8.50 Depth: 11.00
Language: English
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 skills
- Multiple Select - choose-all-that-apply items that reward genuine understanding
- Data and Diagram Interpretation - reading graphs, tables, and figures
- Short Answer - focused free-response problems with room to show full work
- Application and Scenario - putting the mathematics to work in real situations
- Passage-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 equations
- A 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 spots
- Clean diagrams, graphs, and quick-reference tables that mirror what students meet on tests
- Generous workspace to solve problems right on the page
- Professionally 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.
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