To teach yourself advanced level mathematics, start by building a strong foundation in the basics such as algebra, calculus, and geometry. Then, gradually progress to more advanced topics such as linear algebra, differential equations, and real analysis. Utilize resources such as textbooks, online courses, and instructional videos to learn new concepts and practice solving problems. Additionally, seek out challenging problems and engage in regular practice to reinforce your understanding and skills. Finally, consider joining online communities or study groups to discuss and exchange ideas with others who are also studying advanced mathematics. **

Learning advanced mathematics can be challenging for some people, as it requires a strong foundation in basic mathematical concepts and a high level of abstract thinking. However, with dedication, practice, and a good understanding of the fundamentals, it is definitely possible to learn advanced mathematics. It may require more time and effort compared to learning basic math, but the satisfaction of mastering complex mathematical concepts can be very rewarding. Additionally, seeking help from teachers, tutors, or online resources can make the learning process more manageable. **

Ten years of school English would generally be considered basic knowledge. This level of education typically covers fundamental grammar, vocabulary, and reading comprehension skills. Advanced knowledge of English would involve more complex language structures, literary analysis, and advanced writing skills, which are typically acquired at a higher level of education or through specialized study beyond the basic school curriculum. **

Some important basic knowledge for an advanced chemistry course includes a strong understanding of fundamental concepts such as atomic structure, chemical bonding, stoichiometry, and the periodic table. Additionally, a solid foundation in thermodynamics, kinetics, equilibrium, and acid-base chemistry is crucial. Proficiency in mathematical skills such as algebra and calculus is also essential for solving complex chemical problems. Finally, a good grasp of laboratory techniques and safety protocols is important for conducting experiments in the advanced chemistry course. **

The advanced physics course typically requires a strong foundation in calculus, including differential equations and multivariable calculus. Additionally, knowledge of linear algebra and complex numbers is often necessary for understanding advanced physics concepts. A solid understanding of trigonometry and geometry is also important for solving problems and understanding physical phenomena. Finally, familiarity with mathematical methods such as Fourier analysis and vector calculus is often beneficial for advanced physics coursework. **

Prior knowledge required for the advanced mathematics course typically includes a strong understanding of algebra, geometry, trigonometry, and calculus. Students should also be familiar with mathematical proofs, logic, and problem-solving strategies. Additionally, a solid foundation in mathematical concepts and the ability to apply them in various contexts is essential for success in an advanced mathematics course. **

The decision between advanced biology and advanced English ultimately depends on your interests and career goals. If you are passionate about science, medicine, or research, advanced biology may be the better choice as it can provide a strong foundation for pursuing a career in the field. On the other hand, if you have a strong interest in literature, writing, or communication, advanced English may be the more suitable option. Consider your strengths, future aspirations, and the skills you want to develop when making your decision. **

The choice between an English advanced course and a Geography advanced course ultimately depends on your interests and career goals. If you have a passion for literature, writing, and language, then the English advanced course may be the better fit for you. On the other hand, if you are fascinated by the earth's physical features, climate, and human interactions with the environment, then the Geography advanced course may be more suitable. Consider your strengths, interests, and future aspirations to make the best decision for your academic and personal growth. **