1. Assess your current math skills:
* Algebra I & II: You need a strong grasp of equations, inequalities, functions (linear, quadratic, polynomial, rational, exponential, logarithmic), graphing, systems of equations, factoring, exponents, radicals, and solving various types of equations. If you're shaky on any of these, review them thoroughly.
* Geometry: While not directly used in calculus, geometric intuition is helpful. Understanding shapes, area, volume, and similar triangles will enhance your spatial reasoning.
* Trigonometry: A crucial prerequisite. You must be comfortable with trigonometric functions (sine, cosine, tangent), their graphs, identities, inverse functions, and solving trigonometric equations.
2. Strengthen your weaknesses:
* Identify gaps: Honestly assess where you struggle. Use practice problems and quizzes to pinpoint your weaknesses.
* Review materials: Use textbooks, online resources (Khan Academy, Coursera, edX), or workbooks to review the topics you need to improve. There are many excellent resources available, both free and paid.
* Practice consistently: The key to mastering math is consistent practice. Work through many problems of varying difficulty. Don't just read examples; actively solve problems yourself.
3. Learn Precalculus (if needed):
* Precalculus is a bridge course that combines and expands upon algebra and trigonometry, often including topics like conic sections, sequences and series, and limits (which are foundational to calculus). If your algebra and trigonometry aren't strong, or if your curriculum doesn't include precalculus, taking a precalculus course or working through a precalculus textbook is highly recommended.
4. Choose your calculus course:
* Calculus 1 (often called Calculus AB in AP): Typically covers limits, derivatives, and their applications (e.g., optimization, related rates).
* Calculus 2 (often called Calculus BC in AP): Builds upon Calculus 1, introducing integrals, techniques of integration, applications of integration (e.g., areas, volumes), sequences, and series.
* Calculus 3 (Multivariable Calculus): Extends calculus to functions of multiple variables, including partial derivatives, multiple integrals, and vector calculus.
5. Learn effectively:
* Understand the concepts, not just memorize formulas: Calculus is built upon a logical framework. Focus on understanding the underlying principles rather than rote memorization.
* Seek help when needed: Don't hesitate to ask for help from teachers, tutors, classmates, or online forums.
* Practice, practice, practice: The more problems you solve, the better you'll understand the concepts and develop problem-solving skills.
* Work through examples and problems in the textbook: Don't skip this step! The examples often illustrate important techniques and strategies.
Resources:
* Khan Academy: Offers free online courses and exercises covering algebra, trigonometry, precalculus, and calculus.
* Coursera and edX: Offer online courses from universities worldwide, often including calculus courses at various levels.
* Textbooks: Many excellent calculus textbooks are available, both new and used. Your instructor will likely recommend one.
By following these steps and dedicating yourself to consistent effort, you can successfully embark on your calculus journey. Remember that mastering calculus takes time and dedication. Don't get discouraged if you encounter challenges; persevere, and you'll eventually succeed.