微積分(一)

週次計畫

週次	主題
第 1 週	The Limit of a Function, Calculating Limits Using the Limit Laws (1.4-2.2) 2019/09/09
第 2 週	The Precise Definition of a Limit and Continuity (2.4-2.5), Limits at Infinity 2019/09/16
第 3 週	Derivative (2.6-2.8) quiz#1 2019/09/23
第 4 週	More about derivatives; Chain Rule; Implicit Differentiation 2019/09/30
第 5 週	Logarithmic Functions (3.4-3.6), Exponential Functions and Applications quiz#2 2019/10/07
第 6 週	Maximum and Minimum; Mena Value Theorem (4.1-4.2) and Applications 2019/10/14
第 7 週	Shape of Graph, Indefinite Form and l''Hospital''s Rule (4.3-4.4) ; Curve Sketching (I) quiz#3 2019/10/21
第 8 週	Curve Sketching (4.5-4.6) (II) Optimization (4.7) 2019/10/28
第 9 週	期中考 2019/11/04
第 10 週	Antiderivative; The Definite Integral (4.9-5.2) 2019/11/11
第 11 週	The Fundamental Theorem of Calculus; Indefinite Integrals (5.3-5.4) 2019/11/18
第 12 週	The Substitution Rule; Area Between Curves (5.5-6.1) quiz#4 2019/11/25
第 13 週	Volumes (Shell Method Slice Method); Work; Average of Functions (6.2-6.5) 2019/12/02
第 14 週	Integration by Parts (7.1) quiz#5 2019/12/09
第 15 週	Trigonometric Integrals; Trigonometric Substitution (7.2-7.3) 2019/12/16
第 16 週	Integration of Rational Functions; Strategy for Integration and CAS* (7.4-7.6) quiz#6 2019/12/23
第 17 週	Improper Integrals 2019/12/30
第 18 週	期末考 2020/01/06