Transition from High School to University level studies in Math, Sciences and Engineering, is often quite challenging for many students, due to Calculus and Linear Algebra Abstract Concepts and Theorems. Students have difficulties to visualize these concepts and translate them in the practical applications.
I feel theory of system of linear equations, rank, determinant and inverse of a square matrix can be taught in high school. The idea of limit and derivative can also be given.
Since more and more advanced topics are being added to the syllabus for undergraduate studies, I believe that the basics of calculus and linear algebra should be added to the syllabus for 11 and 12 grade students.
I suggest that the basics of following given below topics should be included along with solving startegies of practical problem based questions.
1. Functions
2.Limits
3.Deivatives
4.Integrations
5. Matrices
6. Algebra
Most important thing is that students were very weak in solving the some real practical problems. How to convert some sentence into appropriate mathematical models by using some boundary values or initial values.
Regards,
Tariq
I support the idea of teaching theory of system of linear equations beside derivatives and integration. Also, giving an introduction of general topology will be a good step to improve mathematical skill of students
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