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1131 M10-13(經濟管院) |
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| Calculus 1 |
Week 1 |
2.1 |
The Tangent and Velocity Problems |
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| 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(*) |
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| 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)
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| 4.7 |
Optimization Problems(*) |
| Week 8 |
Buffer |
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| 10/26(Sat) Exam |
| Calculus 2 |
Week 9
11/1(Fri) Calculus 2 Withdrawal Deadline |
4.9 |
Antiderivatives |
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| 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 |
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| 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 |
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Worksheet (Applications in Probability) |
| 12/14(Sat) Exam |
| Week 16 |
11.9 |
Representation of Functions as Power Series |
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11.10 |
Taylor and Maclaurin Series |
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1132 M10-13(13班 無 微積分4-在經濟商管的應用) |
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| Calculus 3 |
Week 1 |
10.1 |
Curves Defined by Parametric Equations |
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| 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 |
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| 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 |
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| 4/12(Sat) Exam |
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Calculus 4 (Applications in Economics and Management) |
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Lecture：Calculus 4 Optimization with Applications in Economics |
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| Calculus 4 |
Week 9
4/18(Fri) Calculus 4 Withdrawal Deadline |
CH 1 |
Linear Algebra 1 : Vocabulary |
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| Week 10 |
CH 2 |
Linear Algebra 2 : Ranks |
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| Week 11 |
CH 3 |
Linear Algebra 3 : Definiteness |
5/1(Thu) 17:30-18:20 Quiz 1 (1.1 - 2.4) |
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3.1 ~ 3.4 |
| Week 12 |
CH 3 |
Linear Algebra 3 : Definiteness |
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3.5 ~ 3.8 |
| CH 4 |
Constrained Optimization I |
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4.1 ~ 4.3 |
| Week 13 |
CH 4 |
Constrained Optimization I |
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4.4 ~ 4.7 |
| CH 5 |
Constrained Optimization II |
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5.1 ~ 5.6 |
| Week 14 |
CH 5 |
Constrained Optimization II |
5/22(Thu) 17:30-18:20 Quiz 2 (2.5 - 5.3) |
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5.7 ~ 5.9 |
| CH 6 |
Envelope Theorem |
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6.1 ~ 6.5 |
| Week 15 |
CH 6 |
Envelope Theorem |
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6.6 ~ 6.8 |
| CH 7 |
Second Order Conditions |
| Week 16 |
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| 6/7(Sat) Exam |