教學大綱與進度

課程基本資料：

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
112-2	327693	微積分	2	3.0	3	▲	李政哲	化工一丙	47	3

教學大綱與進度：

教師姓名	李政哲
Email	toadli10059@gmail.com
最後更新時間	2024-04-29 05:13:04
課程大綱	This course aims at developing comprehension of Derivation and Integral、activating capabilities of Logic Inference and Induction、enlightening confidence and independence、strengthening calculating abilities with an emphasis on its application and diagram、furnishing a sound basis for future specialty. The content includes: 1.Limits and Continuity, 2.Derivative and Application, 3.Indefinite and Definite Integral, 4.Transcendental Functions and their Inverses, 5.Techniques of Integration, 6.Indeterminate Forms and Improper Integral, 7.Application of Integration, 8.Basic Vector Analysis, 9.Partial Derivative, 10.Multiple Integration.
課程進度	week 1: polar coordinates, calculus in polar coordinates. week 2: sequences, series. week 3: integral test, comparison test. week 4: alternating series, ratio and root test. week 5: power series, representations of functions as power series. week 6: Taylor series and its applications. week 7: functions of several variables, limits and continuity. week 8: partial derivatives, tangent planes. week 9: midterm. week 10: chain rules, directional derivatives. week 11: extreme values, Lagrange multipliers. week 12: double integral over rectangles and general regions. week 13: double integrals in polar coordinates and its applications. week 14: triple integrals. week 15: triple integrals in cylindrical coordinates. week 16: triple integrals in spherical coordinates. week 17: change of variables in multiple integrals. week 18: final.
評量方式與標準	1. Attendance: 10%. 2. HW+Quizzes: 40%. 3. Midterm: 25%. 4. Final: 25%.
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 Essential Calculus 2e metric version early transcendentals, by J. Stewart, D. Clegg, S. Watson, Ting Lung Book Co.
課程諮詢管道	1.students may use emails"toadli10059@gmail.com" for further consultations. 2.For the online courses in week 17 & 18, we will use "google meet" as the tool. Please pay attention on the announcement in "i-campus+" before classes.
課程對應SDGs指標
備註	We will follow the rules of NTUT. For the online courses in week 17 & 18, we will use "google meet" as the tool. Please pay attention on the announcement in "i-campus+" before classes. In addition, we shall have 5-10 points HW for these on-line courses evaluation.