• lec28-1 Exponential Growth
• lec28-2 Example 1
• lec28-3 Exponential Decay
• lec28-4 Example 2(Radioactive Decay)
• lec28-5 Example 3(Radioactive Decay)
• lec28-6 Example 4(Carbon 14 Decay)
• lec28-7 Learning Curves
• lec28-8 Example 5
• lec28-9 Logistic Growth Functions
• lec28-10 Example 6
• lec29-1 Antiderivative, Example 1 & Example 2
• lec29-2 The Indefinite Integral
• lec29-3 Basic Integration Rules
• lec29-4 Example 4 ~ Example 9
• lec29-5 Differential Equations & Example 10 ~ Example 12
• lec30-1 Integration by Substitution Example 1 Example 3
• lec30-2 Example 4 ~ Example 6
• lec30-3 Example 7 and Example 8
• lec30-4 Note(Linear Transformation)
• lec31-1 The Area Under the Graph of a Function
• lec31-2 Example 1
• lec31-3 Example 2
• lec31-4 The Definite Integral
• lec31-5 Geometric Interpretation of the Definite Integral
• lec32-1 The Fundamental Theorem of Calculus
• lec32-2 Example 1 ~ Example 5
• lec32-3 Note
• lec32-4 Example 6(Net Change)
• lec32-5 Example 7
• lec32-6 Example 8 & Example 9
• lec32-7 Validity of the Fundamental Theorem of Calculus
• lec33-1 Properties of the Definite Integral
• lec33-2 Example 1
• lec33-3 Example 2 ~ Example 4
• lec33-4 Average Value of a Function
• lec33-5 Example 5 ~ Example 7
• lec33-6 Geometric Interpretation of the Average Value of a Function
• lec33-7 Explore and Discuss
• lec34-1 The Area Between Two Curves
• lec34-2 Example 1 and Example 2
• lec34-3 Example 3 and Example 4
• lec34-4 Example 5 and Example 6
• lec34-5 Example 7
• lec34-6 Explore and Discuss：Even／Odd Functions
• lec35-1 Consumers' Surplus
• lec35-2 Producers' Surplus
• lec35-3 Example 1
• lec35-4 Accumulated or Total Future Value of an Income Stream
• lec35-5 Example 2
• lec35-6 Present Value of an Income Stream & Example 3
• lec35-7 Amount of an Annuity & Example 4
• lec35-8 Present Value of an Annuity & Example 5
• lec35-9 Lorentz Curve & Example 6
• lec35-10 Coefficient of Inequality of a Lorentz Curve & Example 7
• lec36-1 Integration by Parts
• lec36-2 Example 1 & Example 2
• lec36-3 Example 3 & Example 4
• lec36-4 Example 5
• lec36-5 Explore and Discuss
• lec37-1 Review A Table of Integrals
• lec37-2 Example 1 ~ Example 3
• lec37-3 Example 4 ~ Example 6
• lec38-1 Approximating Definite Integrals
• lec38-2 The Trapezoidal Rule
• lec38-3 Simpson's Rule
• lec38-4 Example 1
• lec38-5 Example 2
• lec38-6 Example 4
• lec38-7 Example 5
• lec38-8 Error Analysis
• lec38-9 Example 6
• lec39-1 Improper Integrals
• lec39-2 Example 2 ~ Example 4
• lec39-3 Example 5
• lec39-4 Perpetuities & Example 6
• lec40-1 Volume of a Solid of Revolution
• lec40-2 Example 1 & Example 2
• lec40-3 Example 3 & Example 4
• lec40-4 Example 5
• lec41-1 Functions of Two Variables, Example 1 & Example 2
• lec41-2 Example 3 & Example 4
• lec41-3 Graphs of Functions of Two Variables and Level Curves
• lec41-4 Example 5 & Example 6
• lec42-1 First Partial Derivatives
• lec42-2 Example 1
• lec42-3 Example 2
• lec42-4 Example 3
• lec42-5 The Cobb-Douglas Production Function & Example 4
• lec42-6 Substitute and Complementary Commodities & Example 5
• lec42-7 Second Order Partial Derivatives
• lec42-8 Example 6 & Example 7
• lec43-1 RelativeAbsolute Extrema of a Function of Two Variables
• lec43-2 Notes(Saddle Point)
• lec43-3 Critical Point and The Second Derivative Test
• lec43-4 Example 1 & Example 2
• lec43-5 Example 3
• lec43-6 Example 4
• lec43-7 Example 5
• lec44-1 The Method of Least Squares
• lec44-2 Example 1
• lec44-3 Example 2
• lec44-4 Example 3
• lec45-1 Constrained Relative Extremum & Example 1
• lec45-2 The Method of Lagrange Multipliers & Example 2
• lec45-3 Example 3
• lec45-4 Example 4
• lec45-5 Example 5
• lec45-6 Example 6
• lec45-7 Marginal Productivity of Money
• lec46-1 Increments and The Total Differential
• lec46-2 Example 1 & Example 2
• lec46-3 Example 3 & Example 4
• lec46-4 Example 5
• lec47-1 The Double Integral
• lec47-2 Evaluating a Double Integral over a Rectangular Region
• lec47-3 Example 1
• lec47-4 Evaluating a Double Integral Over a Plane Region
• lec47-5 Example 2
• lec47-6 Example 3
• lec47-7 Example 4
• lec48-1 Example 1：The Volume of a Solid under a Surface
• lec48-2 Example 2： Population of a City
• lec48-3 Average Value of a Function
• lec48-4 Example 3 & Example 4
• lec49-1 Differential Equations Understricted Restricted Growth Models
• lec49-2 Differential Equations Stimulus Response and Mixture Problems
• lec49-3 Solutions of Differential Equations and Example 1 ~ Example 3
• lec50-1 The Method of Separation of Variables
• lec50-2 Example 1
• lec50-3 Example 2
• lec50-4 Example 3
• lec51-1 Example 1： Unrestricted Growth Models
• lec51-2 Example 2： Restricted Growth Models
• lec51-3 Example 3： Restricted Growth Models
• lec51-4 Example 4： Stimulus Response
• lec51-5 Example 5： Mixture Problems
• lec52-1 Euler's Method
• lec52-2 Example 1
• lec52-3 Example 2
• lec53-1 Discrete Probability Functions Histograms
• lec53-2 Probability Density Functions
• lec53-4 Example 3： Exponential Density Functions
• lec53-5 Joint Probability Density Functions
• lec53-6 Example 4 & Example 5
• lec54-1 Expected Value of a Discrete Random Variable
• lec54-2 Expected Value of a Continuous Random Variable
• lec54-3 Example 3
• lec54-4 Example 4
• lec54-5 Variance and Standard Deviation
• lec54-6 Example 5 & Example 6
• lec54-7 Example 7
• lec54-8 Variance and Standard Deviation of a Continuous Random Variable
• lec54-9 Example 8 & Example 9
• lec55-1 (Standard) Normal Distributions
• lec55-2 Example 1
• lec55-3 Example 2
• lec55-4 Example 3
• lec55-5 Example 4 ~ Example 6
• lec56-1 The n-th Taylor Polynomials
• lec56-2 Example 1
• lec56-3 Example 2
• lec56-4 Example 3
• lec56-5 Example 4
• lec56-6 The Remainder Theorem
• lec56-7 Example 5
• lec56-8 Example 6
• lec57-1 Infinite Sequences, Example 1 and Example 2
• lec57-2 Example 3 Graphs of Infinite Sequences
• lec57-3 The Limit of a Sequence
• lec57-4 Example 4
• lec57-5 Limit Properties of Sequences
• lec57-6 Example 5 and Example 6
• lec58-1 The Sum of an Infinite Series
• lec58-2 Example 1
• lec58-3 Geometric Series
• lec58-4 Example 2 and Example 3
• lec58-5 Properties of Infinite Series, Example 4 and Example 5
• lec58-6 Example 6
• lec58-7 Example 7
• lec58-8 Example 8
• lec59-1 The Test for Divergence and Example 1
• lec59-2 The Integral Test
• lec59-3 Notes
• lec59-4 Example 2 ~ Example 4
• lec59-5 The p Series and Example 5
• lec59-6 The Comparison Test
• lec59-7 Example 6 ~ Example 8
• lec60-1 Power Series and Intervals of Convergence
• lec60-2 Example 1 and Example 2
• lec60-3 Theorem 9
• lec60-4 Theorem 10
• lec60-5 Example 3
• lec60-6 Example 4
• lec60-7 Example 5
• lec61-1 Review
• lec61-2 Example 1
• lec61-3 Example 2
• lec61-4 Theorem 11
• lec61-5 Example 3
• lec61-6 Example 4
• lec61-7 Example 5
• lec62-1 Newton's Method
• lec62-2 Example 1
• lec62-3 Example 2
• lec62-4 Example 3
• lec62-5 Example 4 Internal Rate of Return
• lec62-6 Notes
• lec63-1 Derivative of the Sine Function
• lec63-2 Example 1
• lec63-3 Derivative of the Cosine Function and Example 2
• lec63-4 Derivatives of the Other Trigonometric Functions
• lec63-5 Example 3 and Example 4
• lec63-6 Example 5
• lec63-7 Example 6
• lec63-8 Example 7
• lec64-1 Trigonometric Integration Formulas
• lec64-2 Example 1 ~ Example 4
• lec64-3 Example 5 and Example 6
• lec64-4 Additional Trigonometric Integration Formulas
• lec65-1 Indeterminate Forms
• lec65-2 L'Hôpital's Rule
• lec66-1 Theorem 1 l'Hôpital's Rule
• lec66-2 Example 1 ~ Example 3
• lec66-3 Example 4 , Example 5

于振華 副教授

Email: yu@math.ncu.edu.tw

Tel: 03-4227151轉 65102

專長

• 應用機率

學經歷

• 美國俄亥俄州立大學博士

榮譽事蹟

• 國立中央大學99學年度「教學優良獎」

• 國立中央大學90學年度「優良導師」

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