Embedded Files
課程資訊
課程資訊
上課時段與教室：
化材1[1121_0771]：(一)8,9[A106]、(三)1,2[A103]
資工1[1121_1011]：(一)1,2[H308]、(二)9[H307]、(三)9[H307]
資工1[1121_1015]：(二)1[H208]、(三)9[H208]、(五)6,7[H207]
國貿1[1121_1313]：(二)6,7[M134]、(四)3,4[M107]
註：紅字為演習課時間，[A]文學院、[H]人文大樓、[M]管理學院
上課教材：
微積分甲：Thomas' Calculus Early Transcendentals in SI Units, 13E
微積分乙：Calculus for Business, Economics, Life Sciences, and Social Sciences, 14E老師的研究室：東海大學大智慧科技大樓611
老師的e-mail：jiaweilin@go.thu.edu.tw
計分方式
計分方式
課堂表現 - 10%
小考 I - 20%，期中考 - 25%，小考 II - 20%，期末考 - 25%
其他事項
其他事項
老師每週三會在 iLearn 教學平台上公佈次週的練習題與演習課上台名單
本學期停課日：
- 10/9(一)-10/10(二)：國慶日休假停課
- 12/25(一)-12/26(二)：行憲紀念日休假停課
- 1/1(一)-1/2(二)：元旦休假停課
參考教材
參考教材
演習課辦法
演習課辦法
演習課分為兩部分
學生上台講解
每週三公布次週演習課上台名單(每週十人，每人每學期兩次)與指定題目
講解題目的表現將納入學期成績計算(課堂表現的10%)，由助教評分
評分重點為答案正確性(2%)，理解程度(5%)，表達能力(3%)。
上台同學請在上課前先於黑板上寫下題目與過程，以利課程進行助教帶習題
每週練習題
每週練習題
*紅字為學生上台講解題
Week 1:
Week 1:
微積分甲：§1.6, #9,#16,#21,#28,#34,#43,#45,#53,#55,#63,#65,#67,#69
Week 2:
Week 2:
微積分甲：§2.2, #3, #9,#10,#21,#23,#28,#32,#34,#37,#48,#49,#52,#55,#56,#62,#63,#64,#65(a),#66(a),#78,#79,#80,#81,#82
微積分乙：§2.1, #23,#26,#36-37,#43,#44,#45,#46,#51,#53,#54,#58,#59,#61,#62,#65,#66-67,#75,#76,#77,#81,#83
Ｗeek 3:
Ｗeek 3:
微積分甲：§2.4:#1,#3,#6,#8,#15,#16,#17,#18,#19,#20,#23,#26,#28,#29,#32,#33,#34,#37,#40,#41,#45,#46
§2.5:#18,#20,#25,#26,#29,#30,#41,#42,#46,#47,#48,#54,#55,#57微積分乙：§2.2,#18,#19,#20,#23,#24,#28,#34,#35,#36,#37,#39,#43,#46,#47,#50,#56,#57,#59,#61,#63,#66,#68,#71,#72,
Ｗeek 4:
Ｗeek 4:
微積分甲：§2.6:#1,#9,#10,#11,#12,#21,#22,#23,#31,#32,#34,#36,#41,#44,#45,#51,#52,#55,#58,#61,#62,#72,#83,#84,#85,#86,#99
§3.2:#1,#2,#3,#4,#5微積分乙：§2.3, #19,#20,#35,#36,#38,#40,#48,#51,#52,#53,#54,#70,#72,#73,#74
§2.4:#11,#12,#24,#26,#35,#36,#37,#38,#41,#46,#48,#65,#71,#76
Ｗeek 5:
Ｗeek 5:
微積分甲：§3.2:#6,#14,#15,#16,#17,#18,#21,#22,#25,#26,#31,#37,#41,#42,#46,#52,#58
§3.3:#5,#6,#7,#15,#16,#21,#22,#24,#26,#30,#36,#37,#38,#40,#47,#48,#52,#53,#57,#59,#62,#67,#70微積分乙：§2.5, #16,#20,#31,#39,#46,#50,#56,#60,#63,#78,#81
Ｗeek 6:
Ｗeek 6:
微積分甲：§3.5:#3,#14,#15,#17,#19,#29,#33,#48,#49,#58,#59
微積分乙：§2.6:#18,#19,#28,#30,#34,#36,#42,#44
§2.7:#12,#15,#18,#34,#39,#45
Ｗeek 7:
Ｗeek 7:
微積分甲：§3.6: #7, #14, #22, #31, #45, #57, #63, #66, #67, #71, #78, #82, #88, #94
微積分乙：§3.1: #16, #18, #27, #33, #34
Ｗeek 8:
Ｗeek 8:
微積分甲：§3.7: #1, #13, #15, #23, #28, #30, #35, #38, #44
§3.8: #7, #9, #27, #29, #39, #51, #55, #63, #65, #74, #89, #98, #99, #100微積分乙：§3.2: #14, #20, #27, #32, #33, #36, #38, #43, #45, #48, #53, #54, #58
Ｗeek 9:
Ｗeek 9:
微積分甲：§3.9: #1, #9, #11, #15, #24, #33, #35, #37
§3.11: #2, #6, #11, #14, #15, #17, #20, #23, #29, #39微積分乙：§3.4: #14, #18, #19, #26, #32, #43, #46, #52, #56, #62, #66, #69, #77, #81, #89
Ｗeek 11:
Ｗeek 11:
微積分甲：§4.1: #11, #12, #13, #14, #20, #37, #39, #43, #48, #52, #61, #66, #69, #77
§4.2: #4, #9, #16, #21, #31, #36, #37, #41, #66, #76微積分乙：§3.6: #12, #14, #16, #24, #28, #33, #49, #51, #52
§3.8: #12, #13, #30, #37, #38, #62, #65
Ｗeek 12:
Ｗeek 12:
微積分甲：§4.3: #3, #11, #17, #39, #67, #76, #77
§4.4: #4, #12, #35, #41, #49, #61, #77, #99, #105, #112, #120微積分乙：§4.1: #28, #32, #40, #42, #46, #47, #52, #55, #86, #87, #90
§4.5: #22, #24, #26, #36, #37, #42, #46, #51, #57, #63, #68, #71
Ｗeek 13:
Ｗeek 13:
微積分甲：§4.5: #5, #19, #25, #38, #41, #59, #62, #63, #67, #71, #76, #79, #87
§4.8: #13, #21, #22, #23, #36, #51, #78, #81, #87, #90, #96, #102, #107, #114微積分乙：§4.2: #32, #37, #40, #59, #66, #68, #71, #74
§4.3: #25, #26, #29, #30, #38, #41, #51, #54, #61, #67
Ｗeek 14:
Ｗeek 14:
微積分甲：§5.3: #6, #10, #19, #28, #71, #76, #79, #81
§5.4: #7, #13, #24, #28, #29, #33, #34, #40, #42, #48, #50, #57, #63, #70, #78, #80, #81, #84微積分乙：§5.1: #14, #20, #23, #46, #48, #52, #57, #60, #62, #66, #69, #70, #72, #73
§5.2: #30, #31, #36, #38, #39, #42, #48, #62, #69, #73, #75
Ｗeek 15:
Ｗeek 15:
微積分甲：§5.5: #4, #6, #14, #16, #19, #30, #41, #48, #52, #55, #62, #65, #67, #74, #78
微積分乙：§5.3: #16, #18, #19, #40, #54, #59
§5.4: #15, #23, #31, #34, #39, #42, #44, #50, #51, #53
Ｗeek 16:
Ｗeek 16:
微積分甲：§8.2: #2, #6, #11, #17, #27, #28, #31, #35, #38, #46, #66, #69
微積分乙：§5.5: #18, #20, #23, #26, #30, #36, #39, #42, #44, #45, #58, #59, #62
§5.6: #19, #23, #25, #43, #51, #54, #56, #63, #65, #67
課程進度
課程進度
化材1[1121_0771]
化材1[1121_0771]
Week 1:
Week 1:
Notation; Function and Inverse Function
§2.2: The Limit of function
Limit Law
Week 2:
Week 2:
§2.2: The Limit of function
Limit of polynomial and rational function
The Sandwich Theorem
§2.4: The One-Side Limits
Limit of sin(x)/x
§2.5: Continuity
Continuous at Point
Continuous Function
Week 3:
Week 3:
§2.5: Continuity
Inverse Function and Continuity
Composite Functions
Continuous Extension
§2.6: Limits Involving Infinity; Asymptotes of Graph
Limits at Infinity and Horizontal Asymptotes
Infinite Limits and Vertical Asymptotes
Week 4:
Week 4:
§3.1-3.2: Derivatives
Derivative and Differentiation
Differentiable Implies Continuous
§3.3: Differentiation Properties
Differentiation Rules
Product Rule
Quotient Rule
Derivative of Exponential Functions
Week 5:
Week 5:
§3.5: Derivatives of Trigonometric Functions
Week 6:
Week 6:
§3.6: The Chain Rule
Week 7:
Week 7:
§3.7: Implicit Differentiation
§3.8: Derivatives of Inverse Functions and Logarithms
Derivatives of Inverse Functions
Derivatives of Logarithms
Week 8:
Week 8:
§3.9: Inverse Trigonometric Functions
§3.11: Linearization and Differential
Linearization for f(x) at x=a
Differential dy for f(x)
Week 10:
Week 10:
§4.1: The Extreme Value Theorem
Global and Local Extrema
The Extreme Value Theorem
First Derivative Theorem for Local Extrema
§4.2: The Mean Value Theorem
Rolle's Theorem
The Mean Value Theorem and it's Corollaries
Week 11:
Week 11:
§4.3: Monotone Functions and First Derivative Test
Increasing and Decreasing Functions
First Derivative Test for Local Extrema
§4.4: Concavity
Concavities of Function
Second Derivative Test for Concavity
Point of Inflection
Second Derivitive Test for Local Extrema
Week 12:
Week 12:
§4.5: L'Hospital's Rule
Parametric Equations and Slope
Cauchy's Mean Value Theorem
L'Hospital's Rule
Limits with Indeterminate Forms
§4.8: Antiderivatives
Antiderivative formulas
Differential Equations and Initial Value Problems
Indefinite Integrals
Week 13:
Week 13:
§5.3: Definite Integrals
Riemann Sum and Area
Properties of Integrable Functions
§5.4: The Fundamental Theorem of Calculus
Mean Value Theorem of Definite Integrals
Integral Functions
The Fundamental Theorem of Calculus
Difference between Area and Definite Integrals
Week 14:
Week 14:
§5.5&5.6: The Substitution Method
Reversing the Chain Rule
The Substitution Method
§8.2: Integration by Parts
Integrating the Product Rule
Integration by Parts
Week 15:
Week 15:
§5.6: Definite Integrals for Area
§6.1: Volumes using Cross-Sections
The Disk Method
The Washer Method
Week 16:
Week 16:
§6.2: Volumes using Cylindrical Shells
The Shell Method
§6.3: Arc Length
資工1[1121_1011]
資工1[1121_1011]
Week 1:
Week 1:
Notation; Function and Inverse Function
§2.2: The Limit of function
Limit Law
Week 2:
Week 2:
§2.2: The Limit of function
Limit of polynomial and rational function
The Sandwich Theorem
§2.4: The One-Side Limits
Limit of sin(x)/x
§2.5: Continuity
Continuous at Point
Continuous Function
Week 3:
Week 3:
§2.5: Continuity
Inverse Function and Continuity
Composite Functions
Continuous Extension
§2.6: Limits Involving Infinity; Asymptotes of Graph
Limits at Infinity and Horizontal Asymptotes
Infinite Limits and Vertical Asymptotes
§3.1-3.2: Derivatives
Week 4:
Week 4:
§3.1-3.2: Derivatives
Derivative and Differentiation
Differentiable Implies Continuous
§3.3: Differentiation Properties
Differentiation Rules
Product Rule
Quotient Rule
Derivative of Exponential Functions
Week 6:
Week 6:
§3.5: Derivatives of Trigonometric Functions
§3.6: The Chain Rule
Week 7:
Week 7:
§3.7: Implicit Differentiation
§3.8: Derivatives of Inverse Functions and Logarithms
Derivatives of Inverse Functions
Derivatives of Logarithms
Week 8:
Week 8:
§3.9: Inverse Trigonometric Functions
§3.11: Linearization and Differential
Linearization for f(x) at x=a
Differential dy for f(x)
Week 10:
Week 10:
§4.1: The Extreme Value Theorem
Global and Local Extrema
The Extreme Value Theorem
First Derivative Theorem for Local Extrema
§4.2: The Mean Value Theorem
Rolle's Theorem
The Mean Value Theorem and it's Corollaries
Week 11:
Week 11:
§4.3: Monotone Functions and First Derivative Test
Increasing and Decreasing Functions
First Derivative Test for Local Extrema
§4.4: Concavity
Concavities of Function
Second Derivative Test for Concavity
Point of Inflection
Second Derivitive Test for Local Extrema
Week 12:
Week 12:
§4.5: L'Hospital's Rule
Parametric Equations and Slope
Cauchy's Mean Value Theorem
L'Hospital's Rule
Limits with Indeterminate Forms
§4.8: Antiderivatives
Antiderivative formulas
Differential Equations and Initial Value Problems
Indefinite Integrals
Week 13:
Week 13:
§5.3: Definite Integrals
Riemann Sum and Area
Properties of Integrable Functions
§5.4: The Fundamental Theorem of Calculus
Mean Value Theorem of Definite Integrals
Integral Functions
The Fundamental Theorem of Calculus
Difference between Area and Definite Integrals
Week 14:
Week 14:
§5.5&5.6: The Substitution Method
Reversing the Chain Rule
The Substitution Method
§8.2: Integration by Parts
Integrating the Product Rule
Integration by Parts
Week 15:
Week 15:
§5.6: Definite Integrals for Area
§6.1: Volumes using Cross-Sections
The Disk Method
The Washer Method
Week 16:
Week 16:
§6.2: Volumes using Cylindrical Shells
The Shell Method
§6.3: Arc Length
資工1[1121_1015]
資工1[1121_1015]
Week 1:
Week 1:
Notation; Function and Inverse Function
§2.2: The Limit of function
One-Side Limits
Limit Law
Limit of polynomial and rational function
Week 2:
Week 2:
§2.2: The Limit of function
The Sandwich Theorem
§2.4: The One-Side Limits
Limit of sin(x)/x
§2.5: Continuity
Continuous at Point
Continuous Function
Inverse Function and Continuity
Composite Functions
Week 3:
Week 3:
§2.5: Continuity
Continuous Extension
§2.6: Limits Involving Infinity; Asymptotes of Graph
Limits at Infinity and Horizontal Asymptotes
Week 4:
Week 4:
§2.6: Limits Involving Infinity; Asymptotes of Graph
Infinite Limits and Vertical Asymptotes
§3.1-3.2: Derivatives
Derivative and Differentiation
Differentiable Implies Continuous
§3.3: Differentiation Properties
Differentiation Rules
Product Rule
Quotient Rule
Derivative of Exponential Functions
Week 5:
Week 5:
§3.5: Derivatives of Trigonometric Functions
§3.6: The Chain Rule
Week 6:
Week 6:
§3.7: Implicit Differentiation
§3.8: Derivatives of Inverse Functions and Logarithms
Derivatives of Inverse Functions
Derivatives of Lofarithmic Functions
Week 7:
Week 7:
§3.9: Inverse Trigonometric Functions
§3.11: Linearization and Differential
Linearization for f(x) at x=a
Differential dy for f(x)
Week 10:
Week 10:
§4.1: The Extreme Value Theorem
Global and Local Extrema
The Extreme Value Theorem
First Derivative Theorem for Local Extrema
Week 11:
Week 11:
§4.2: The Mean Value Theorem
Rolle's Theorem
The Mean Value Theorem and it's Corollaries
§4.3: Monotone Functions and First Derivative Test
Increasing and Decreasing Functions
First Derivative Test for Local Extrema
§4.4: Concavity
Concavities of Function
Second Derivative Test for Concavity
Point of Inflection
Second Derivitive Test for Local Extrema
§4.5: L'Hospital's Rule
Parametric Equations and Slope
Cauchy's Mean Value Theorem
L'Hospital's Rule
Limits with Indeterminate Forms
Week 12:
Week 12:
§4.8: Antiderivatives
Antiderivative formulas
Differential Equations and Initial Value Problems
Indefinite Integrals
Week 13:
Week 13:
§5.3: Definite Integrals
Riemann Sum and Area
Properties of Integrable Functions
§5.4: The Fundamental Theorem of Calculus
Mean Value Theorem of Definite Integrals
Integral Functions
The Fundamental Theorem of Calculus
Difference between Area and Definite Integrals
Week 14:
Week 14:
§5.5&5.6: The Substitution Method
Reversing the Chain Rule
The Substitution Method
§8.2: Integration by Parts
Integrating the Product Rule
Integration by Parts
Week 15:
Week 15:
§5.6: Definite Integrals for Area
§6.1: Volumes using Cross-Sections
The Disk Method
The Washer Method
Week 16:
Week 16:
§6.2: Volumes using Cylindrical Shells
The Shell Method
§6.3: Arc Length
國貿1[1121_1313]
國貿1[1121_1313]
Week 1:
Week 1:
Notation; Function and Inverse Function
§2.1: Introduction to Limits
Limit Law
Limit of polynomial and rational function
Limit of Quotient
Limit of Difference Quotient
Week 2:
Week 2:
§2.2: Infinite Limits and Limits at Infinity
Infinite Limit and Vertical Asymptotes
Limits at Infinity and Horizontal Asymptotes
Determine Limits at Infinity
Week 3:
Week 3:
§2.3: Continuity
Continuity at Points and Continuous Functions
Continuity Properties
The Intermediate Value Theorem
Solving Inequality
§2.4: The Derivative
Rate of Change
Derivatives and Differentiation
§2.5: Basic Differentiation Properties
Differentiation Rules
Applications: Velocity and Tangent Line
Week 5:
Week 5:
§2.6: Differentials
Increments
Differentials as Approximate Increments
§2.7: Marginal Analysis
Marginal Utilities
Marginal Cost and Exact Cost
Week 6:
Week 6:
§3.1: The Constant e and Continuous Compound Interest
The Nature Number e
Compound Interest
Week 7:
Week 7:
§3.2: Derivatives of Exponential and Logarithmic Functions
Derivative of Exponential Functions
Derivative of Logarithmic Functions
§3.4: Product and Quotient Rules
Derivative of Function Production
Derivative of Function Quotient
Week 10:
Week 10:
§3.5: Chain Rule
§3.6: Implicit Differentiation
§3.8: Elasticity of Demand
Week 11:
Week 11:
§4.5: Extreme Values of Functions
Extreme Values of Functions
Extreme Value Theorem
First Derivative Theorem for Local Extrema
§4.1: Monotone Functions and First Derivative Test
Increasing and Decreasing Functions
First Derivative Test for Local Extrema
Week 12:
Week 12:
§4.2: Concavity
Concavity of Functions
Second Derivative Test for Concavity
Point of Inflation
Second Derivative Test for Local Extrema
§4.3: L'Hospital's Rule
L'Hospital's Rule
Limits with Indeterminate Forms
§5.1: Antiderivative and Indefinite Integrals
Antiderivatives
Week 13:
Week 13:
§5.1: Antiderivative and Indefinite Integrals
Indefinite Integrals: Formulas and Properties
§5.4: Definite Integrals
§5.5: The Fundamental Theorem of Calculus
Week 14:
Week 14:
§5.2: Integration by Substitution
Reversing the Chain Rule
Integration by Substitution
§6.1: Integration by Parts
Week 15:
Week 15:
§5.3 Differential Equations
§5.6 Area Between Curves
Compute Area via Definite Integrals
Income Distribution and Gini Index
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