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微積分統一教學網

模10-13班課程大綱

  1131 M10-13(經濟管院)  
Calculus 1 Week 1 2.1 The Tangent and Velocity Problems  
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
Week 2 2.5 Continuity Worksheet (Nash Equilibrium)
2.6 Limits at Infinity; Horizontal Asymptotes
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
Week 3 3.1 Derivatives of Polynomials and Exponential Functions 9/19(Thu) 17:30-18:20  Quiz 1 (2.1 - 2.8)
3.2 The Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
Week 4 3.5 Implicit Differentiation Worksheet (Derivatives in Economics)
3.6 Derivatives of Logarithmic and Inverse Trigonometric Functions
Week 5 3.8 Exponential Growth and Decay (Compounded Interest, and Present Value)  10/3(Thu) 17:30-18:20  Quiz 2 (3.1 - 3.6)
3.10 Linear Approximations and Differentials 
4.1 Maximum and Minimum Values
Week 6
10/11(Fri) Calculus 1 Drop Deadline
4.2 The Mean Value Theorem(*)  
4.3 What Derivatives Tell Us about the Shape of a Graph
4.4 Indeterminate Forms and l’Hospital‘s Rule
Week 7 4.5 Summary of Curve Sketching

10/17(Thu) 17:30-18:20  Quiz 2 (3.1 - 3.6、3.10、4.1)

Worksheet (Optimizing Costs and Profits)

4.7 Optimization Problems(*)
Week 8 Buffer  
10/26(Sat)  Exam
Calculus 2 Week 9
11/1(Fri) Calculus 2 Withdrawal Deadline
4.9 Antiderivatives  
5.1 The Area and Distance Problems
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
Week 10 5.4 Indefinite Integrals and the Net Change Theorem Worksheet (Lorenz Curves and Gini Index)
5.5 The Substitution Rule
6.1 Areas Between Curves
6.5 Average Value of a Function 
Week 11 8.4 Applications to Economics (WS) 11/14(Thu) 17:30-18:20  Quiz 1 (5.1 - 5.5、6.1)
7.1 Integration by Parts
7.2 Trigonometric Integrals
Week 12
11/22(Fri) Calculus 2 Drop Deadline
7.3 Trigonometric Substitution Worksheet (Integrals in Economics)
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
Week 13 7.8 Improper Integrals  
8.5 Probability (WS)
9.1 Modeling with Differential Equations
Week 14 9.3 Separable Equations 12/5(Thu) 17:30-18:20  Quiz 2 (6.5、7.1 - 7.8)
9.5 Linear Equations
Week 15 Buffer   Worksheet (Applications in Probability)
12/14(Sat)  Exam
Week 16 11.9  Representation of Functions as Power Series   
  11.10 Taylor and Maclaurin Series
  1132 M10-13(13班 無 微積分4-在經濟商管的應用)  
Calculus 3 Week 1 10.1 Curves Defined by Parametric Equations  
10.2 Calculus with Parametric Equations
12.6 Cylinders and Quadric Surfaces
Week 2 14.1 Functions of Several Variables Worksheet (Partial Derivatives in Economics)
14.2 Limit and Continuity (✽) 
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximation
Week 3 14.5 The Chain Rules 3/6(Thu) 17:30-18:20  Quiz 1 (10.1 - 10.2、12.6、14.1、14.3)
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
Week 4 14.8 Lagrange Multipliers Worksheet (Lagrange Multipliers)
15.1 Double Integrals over Rectangles
Week 5 15.2 Double integrals over General Regions  
10.3 Polar Coordinates 
15.3 Double Integrals in Polar Coordinates
Week 6
3/28(Fri) Calculus 3 Drop Deadline
15.6 Triple Integrals 3/27(Thu) 17:30-18:20  Quiz 2 (14.4 - 14.8、15.1 - 15.2)
15.9 Change of Variables in Multiple Integrals
Week 7 15.4 Applications of Double Integrals (Probability only) Worksheet (Applications in Probability II)
Week 8 Buffer  
4/12(Sat)  Exam
         
  Calculus 4 (Applications in Economics and Management)  
  Lecture:Calculus 4 Optimization with Applications in Economics  
Calculus 4 Week 9
4/18(Fri) Calculus 4 Withdrawal Deadline
CH 1 Linear Algebra 1 : Vocabulary  
Week 10 CH 2 Linear Algebra 2 : Ranks  
Week 11 CH 3 Linear Algebra 3 : Definiteness 5/1(Thu) 17:30-18:20 Quiz 1 (1.1 - 2.4)
  3.1 ~ 3.4
Week 12 CH 3 Linear Algebra 3 : Definiteness  
  3.5 ~ 3.8
CH 4 Constrained Optimization I
  4.1 ~ 4.3
Week 13 CH 4 Constrained Optimization I  
  4.4 ~ 4.7
CH 5 Constrained Optimization II
  5.1 ~ 5.6
Week 14 CH 5 Constrained Optimization II 5/22(Thu) 17:30-18:20 Quiz 2 (2.5 - 5.3)
  5.7 ~ 5.9
CH 6 Envelope Theorem
  6.1 ~ 6.5
Week 15 CH 6 Envelope Theorem  
  6.6 ~ 6.8
CH 7 Second Order Conditions
Week 16    
6/7(Sat)  Exam