This course starts with techniques of integration beyond the standard high school level. Then the power series will be introduced as the new class of functions. The next will be ordinary differential equations of simple types, which will prepare students towards science and engineering. Power series solution methods will also be discussed. But all these are technical, but in fact baseless from the logical viewpoint. We shall spend one whole month to teach students "Calculus proper".

None

Midterm exam (3 hours) 40%
Final exam (3 hours) 60%

Total 100% (All scores will be given in terms integers without any roundup; all decimals will be dropped each time.)

Grading: A (100~92), A0(91~84), A-(83~76), B (75~68), B0(67~60), B-(59~52), C (51~44), C0(43~36), C-(35~28), D (27~20), D0(19~12), D-(11~4), F(3~0)

Exams will be common to all sections. The grading therefore follows the absolute scaling as specified above. Absence to the exam will also be taken care of according to the regulations of the University with no exception. Missing Final exam will result in the automatic Fail (F) regardless of anything else.

Kangtae Kim, "Lecture notes on Calculus at Postech" Kyowoo (2020) (ISBN: 979-11-251-0314-1)

The following schedule is based on our text book, "Calculus with Applications".

week 1 ~ first half of week 3 : Chapter 1
second half of week 3~ first half of week 6 : Chapter 2
second half of week 6 ~ week 7: Chapter 3
week 8 : midterm
week 9 ~ first half of week 11 : Chapter 4
second half of week 11 ~ week 13 : Chapter 6
week 14 ~ week 15 : Chapter 7, Chapter 8
week 16 : final

Classic lectures by instructors, Solving exercises with TA, 5 - 10 exercise problems are given each week for self-learning.

At least 75% of Exam problems are on the level of exercise problems, which will stack up to 120-150 problems by the end of the semester. Learning them will easily elevate students knowledge to A level.