Basis Calculus 2

This course is academically equivalent to MA1102, adapted for further education. The course expands and elaborates more the content, applications and level of abstraction of MA6101. Real and complex numbers, elementary topology for euclidian spaces, fundamental theorem of algebra, partial summation, sequences and series, power series, Taylor series, uniform convergence of functions, Weierstrass approximation theorem, first order differential equations, Picard-Lindelöf Theorem, linear differential equations, power series solutions of differential equations.

1. Knowledge. The student has knowledge on the basic terminology in mathematical analysis,. The student has a solid background for further studies in analysis and of differential equations. The student has knowledge of the requirements for rigor in mathematical analysis.
2. Skills. The student has basic technical computation skills that are important in mathematical analysis. The student can become acquainted with mathematical reasoning that combines different concepts and results from the course's academic content. The student is able to derive simple sentences based on the subject content of the course.

Exercises and physical or digital gatherings (agreed upon at the start of the semester with the students). Final grade based on written final examination.

Parts of this course can be taught in English.