Scheduling the AoPS Curriculum Without Calculus: A 6-Month Plan for Advanced Math Studies

Completing the Art of Problem Solving (AoPS) curriculum without skipping calculus can be an ambitious but achievable goal, especially if you have a strong foundation in 10th-grade mathematics. Here are some considerations and a detailed plan to help you map out your journey.

Curriculum Overview

The AoPS curriculum typically includes:

Prealgebra Introduction to Algebra Introduction to Number Theory Introduction to Counting and Probability Introduction to Geometry Intermediate Algebra Intermediate Counting and Probability Intermediate Geometry Precalculus

Please note that calculus is not included in this plan.

Study Plan

To determine if you can complete the curriculum in 6 months, consider the following steps:

Time Commitment

Estimate how many hours per week you can dedicate to studying. A solid schedule is crucial. Here's a suggested breakdown, assuming 15-20 hours per week:

Book Length

Each AoPS book typically contains around 300-400 pages. Divide the total number of pages by the number of weeks (approximately 24 weeks in 6 months) to determine how many pages you need to cover weekly.

Depth of Understanding

AoPS books emphasize problem-solving and deep understanding over rote learning. Allocate time for practice problems and review each chapter before moving on. Regularly spending time on exercises and review problems is key.

Resources

Utilize AoPS online resources, such as forums and classes, if available. These resources can provide additional support and insight, helping you to stay on track and address any challenges.

Self-Assessment

Regularly assess your understanding through practice tests and problems. This will help ensure you are grasping the material and making progress.

Example Study Plan

If you can dedicate around 15 hours per week:

Week 1-4: Prealgebra and Introduction to Algebra Week 5-8: Introduction to Number Theory and Introduction to Geometry Week 9-12: Introduction to Counting and Probability and Intermediate Algebra Week 13-16: Intermediate Counting and Probability and Intermediate Geometry Week 17-24: Precalculus and review of all topics

Conclusion

Completing the AoPS curriculum without skipping calculus in 6 months is a reasonable goal with a solid plan and consistent effort. Be prepared to adjust the plan based on your pace and understanding. Good luck in your journey to becoming a proficient problem solver!