Syllabus(I)_ Calculus(I)

Calculus for Freshman (I)

Fall Semester 

Required Course for 

Freshman@CSU, Taiwan         

Credits/hours :  3/3 

CHAPTER 1  LIMITS OF FUNCTIONS 

函數的極限

11 Limit 極限

11ALT  Limit 極限

11 Exercises & Solutions 

習題及解答

12 One Sided Limit 左右極限

12 Exercises & Solutions 

習題及解答

13 Continuity 連續函數

13 Exercises and Solutions

習題及解答

14 無窮極限 __2/2、

14 Exercises & Solutions 

習題及解答

CHAPTER 2  DERIVATIVES

21 Definition of Derivative

22 The Rule of Differentiation

23 Chain Rule and Implicit Differentiation

24 Derivatives of Exponential and Logarithmic F

25 Derivatives of Trigonometric Functions

26 Derivatives of Inverse Trigonometric F

27 Numerical Approximate –Differentials

CHAPTER 3  APPLICATIONS OF DERIVATIVES

31 The Mean Value Theorem and its Applications (*)

32 Increasing and Decreasing Functions

33 Maximum and Minimum Values

34 The Max -Min Problems

35 Concavity and Points of Inflection

36 Asymptotes

37 Sketching curve

38 L' Hopital's Rule

39 Taylor Series

310 Applications In Marginal Analysis

311 Elasticity

Calculus(II)

Calculus(III)

Textbook：Calculus(I)   Publishing By 

Ann Austin Bill Daniel Frank Gary

Related :  Calculus Digital Learning

 eCalculus OCW@CSU,Taiwan 

Syllabus(I)_ Calculus

2010~2020

Calculus for Freshman (I)

Fall Semester Required Course for 

Freshman@CSU, Taiwan         

Credits/hours :  3/3 

CHAPTER 1  LIMITS OF FUNCTIONS

Section 1-1 Limits

Section 1-2 One-Sided Limit

Section 1-3 Continuity

Section 1-4 A Limit at Infinity and Infinite Limit

CHAPTER 2  DERIVATIVE

Section 2-1 Definition of Derivative

Section 2-2 The Rule of Differentiation

Section 2-3 Chain Rule and Implicit Differentiation

Section 2-4 Derivatives of Exponential and Logarithmic F

Section 2-5 Numerical Approximate –Differentials

Section 2-6 Derivatives of Trigonometric Functions

Section 2-7 Derivatives of Inverse Trigonometric F

CHAPTER 3  APPLICATIONS OF DERIVATIVES

Section 3-1 The Mean Value Theorem and its Applications

Section 3-2 Increasing and Decreasing Functions

Section 3-3 Maximum and Minimum Values

Section 3-4 The Max -Min Problems

Section 3-5 Concavity and Points of Inflection

Section 3-6    Asymptotes

Section 3-7 Sketching curve

Section 3-8    L' Hopital's Rule

Section 3-9    Taylor Series

Section 3-10  Applications In Marginal Analysis

Section 3-11  Elasticity