週數 授課日期 授課內容 作業 Due 9/14/15 Introduction, Definition of the limit of a function
9/16/15 Some examples, Precise definition of a limit
9/21/15 Limit of some sepcific functions
9/23/15 Some theorems of limits
9/28/15 中秋節補假
9/30/15 Squeeze Theorem, Limits of polynomial, rational, trig. functions
10/5/15 Limits of trig. Functions, One sided limit, Continuity and discontinuity
10/7/15 Some properties of limit at infinity, Continuuity of composite function
10/12/15 Continuuity of composite function, Intermediate Value Theorem
10/14/15 Intermediate Value Theorem, Boundedness of continuous functions
10/19/15 Extreme Value Theorem, Least upper bound
10/21/15 Least upper bound, Proof of Intermediate Value Theorem
10/26/15 Proof of Extreme Value Theorem, Differentiation
10/28/15 Definition of Derivative, Some examples, Notation
11/2/15 Sum, Product, Quotient rule of differentation
11/4/15 Chain rule, Implicit Differentiation
11/9/15 Related Rate, Linear approamation, Maximum and Minimum
11/11/15 校慶運動會(停課)
11/16/15 Maximum and Minimum, critical point, Rolle's Theorem
11/18/15 Mean Value Theorem, L'Hopital's Rule
11/23/15 Local extremem problem, increasing and decreasing
11/25/15 Optimation problems, concavity of a function
11/30/15 Concavity of a function, L'Hopital's Rule, Sketch the graph
12/2/15 Inverse function
12/7/15 Inverse function, Integration
12/9/15 Upper sum and Lower sum, integrable function
12/14/15 Some properties of integration
12/16/15 Some properties of integration, Riemann Sum, Fundamental Theorem of Calculus
12/21/15 Fundamental Theorem of Calculus, Antiderivative, Indefinite integral
12/23/15 Logarithemic and Exponential functions
12/28/15 Logarithemic and Exponential functions
12/30/15 Logarithemic Differentiation, u-substitution
1/4/16 u-substitution, Integration by Parts
1/6/16 Trigonometric integral, Trigonometric substitution
1/11/16 Area between two curves, Mean Value Theorem for integration
1/13/16 Final Exam
104年第一學期微積分(1041_C115611)課程進度
6 1 2 3 4 5
Homework 1 Homework 2 Homework 3 Homework 4 Homework 5
10/28/15
Homework 6
9/23/15 9/30/15
18 7 8 9 10 11 12 13
14
15 16
17
Homework 16
Homework 7
Homework 9 Homework 10 Homework 11 Homework 12
Homework 13
Homework 14 Homework 15 Homework 8_1 Homework 8_2
10/7/15 10/14/15 10/21/15
11/4/15 11/18/15 11/18/15 11/25/15 12/2/15 12/9/15 12/16/15
12/23/15
12/30/15 1/6/16 1/13/16
