Incorrect : This week, I just finished with my this semester. Correct : I just finished with my/the semester this week.
Incorrect : They satisfied for their studying. Correct : They are satisfied with what they read.
Incorrect : At the first I was very worried to teach this subject. Correct : At first I was very anxious to teach this subject.
Incorrect : So sometime I have to ask some very basic mathematics to my colleague. Correct : So sometimes I have to ask my colleagues some very basic mathematical solutions.
Incorrect : Actually, afTer finishing my this semester I will be good. Correct : Actually, I'll be fine after I finish this semester.
Incorrect : Just one year teacher. Correct : Just one year of teaching.
Incorrect : Because they could get new professor. Correct : Because they can get a new professor.