1. Introduction - number sets, intervals, solving of elementary equations and relations, simplifying powers and roots.
2. - 3. Sequences – basic concepts, arithmetic and geometric sequence and their application, summation, limit of a sequence, definition of Euler's number e.
4. - 6. Function of a single real variable – definition, domain and range, classification, elementary functions, graph of a function, inverse functions.
7. - 8. Limit of a function - limit of a function at a point, improper limit of a function, limit of a funciton at infinity.
9. - 10. Derivative of a function - equation of a tangent line and normal line to a curve at a point, differentiation techniques, higher order derivatives, differential of a function, l'Hospital's Theorem.
11. - 12. Application of the derivative - monotonoic function, local and global extrema of a function, convex and concave function, inflexion points, asymptotes.
13. - 14. Revision.
2. - 3. Sequences – basic concepts, arithmetic and geometric sequence and their application, summation, limit of a sequence, definition of Euler's number e.
4. - 6. Function of a single real variable – definition, domain and range, classification, elementary functions, graph of a function, inverse functions.
7. - 8. Limit of a function - limit of a function at a point, improper limit of a function, limit of a funciton at infinity.
9. - 10. Derivative of a function - equation of a tangent line and normal line to a curve at a point, differentiation techniques, higher order derivatives, differential of a function, l'Hospital's Theorem.
11. - 12. Application of the derivative - monotonoic function, local and global extrema of a function, convex and concave function, inflexion points, asymptotes.
13. - 14. Revision.