| |
1131 M14-17 |
|
| Calculus 1 |
Week 1 |
1.4 |
Exponential Functions (Brief) |
|
| 1.5 |
Inverse Functions and Logarithms |
| 2.1 |
The Tangent Problem |
| 2.2 |
The Limit of a Function |
| 2.3 |
Calculating Limits Using the Limit Laws |
| Week 2 |
2.5 |
Continuity |
9/12(Thu) 17:50-18:20 Quiz 1 (Coverage : 1.4-2.3) |
| 2.6 |
Limits at Infinity; Horizontal Asymptotes |
| 2.7 |
Derivatives and Rates of Change |
| 2.8 |
The Derivative as a Function |
| 3.1 |
Derivatives of Polynomials and Exponential Functions |
| Week 3 |
3.2 |
The Product and Quotient Rules |
9/19(Thu) Worksheet 1 (Derivatives in Economics) |
| 3.3 |
Derivatives of Trigonometric Functions |
| 3.10 |
Linear Approximations and Differentials |
| Week 4 |
3.4 |
The Chain Rule |
9/26(Thu) 17:30-18:20 Exam 1 (Coverage : 1.4-3.3) |
| 3.5 |
Implicit Differentiation |
| 3.6 |
Derivatives of Logarithmic and Inverse Trigonometric Functions |
| Week 5 |
3.7 |
Rates of Change in Natural and Social Science (Biology and Economics) |
|
| 4.2 |
The Mean Value Theorem |
| 4.4 |
Indeterminate Forms and L’Hospital Rule |
Week 6
10/11(Fri) Calculus 1 Drop Deadline |
4.1 |
Maximum and Minimum Values |
10/8(Tue) Quiz 2 (Coverage 3.4-3.6、3.10、WS1)
Class 14-16：8:30-9:00 ； Class 17：9:10-9:40 |
| 4.3 |
What Derivatives Tell Us about the Shape of a Graph |
| Week 7 |
4.5 |
Summary of Curve Sketching |
10/17(Thu) Worksheet 2 (Higher order approximations) |
| 4.7 |
Optimization Problems |
| Week 8 |
4.9 |
Antiderivatives(*) |
10/24(Thu) 17:30-18:20 Exam 2 (Coverage : Week 4-7, WS2) |
| Calculus 2 |
Week 9
11/1(Fri) Calculus 2 Withdrawal Deadline |
5.1 |
The Area and Distance Problems |
|
| 5.2 |
The Definite Integral |
| 5.3 |
The Fundamental Theorem of Calculus |
| 5.4 |
Indefinite Integrals and the Net Change Theorem |
| Week 10 |
5.5 |
The Substitution Rule |
11/7(Thu) 17:50-18:20 Quiz 1 (Coverage : 5.1-5.4) |
| 7.2 |
Trigonometric Integrals |
| 7.3 |
Trigonometric Substitution |
| Week 11 |
7.1 |
Integration by Parts |
11/14(Thu) Worksheet 1 (Medical Imaging) |
| 7.4 |
Integration of Rational Functions by Partial Fractions |
| 7.8 |
Improper Integrals |
Week 12
11/22(Fri) Calculus 2 Drop Deadline |
6.1 |
Areas Between Curves |
11/21(Thu) 17:30-18:20 Exam 1 (Coverage : Week 9-11) |
| 6.5 |
Average Value of a Function |
| 8.5 |
Probability |
| Week 13 |
9.1 |
Modeling with Differential Equations |
|
| 9.3 |
Separable Equations |
| 9.4 |
Models for Population Growths |
| 9.5 |
Linear Equations |
| Week 14 |
11.8 |
Power series (No convergence issues) |
12/5(Thu) 17:50-18:20 Quiz 2 (Coverage : Week 12-13) |
| 11.9 |
Representations of Functions as Power Series |
| Week 15 |
11.10 |
Taylor and Maclaurin Series |
12/12(Thu) Worksheet 2 (Introduction to Bifurcation) |
| Week 16 |
12/19(Thu) 17:30-18:20 Exam 2 (Coverage : Week 12-15) |
| |
1132 M14-17 |
|
| Calculus 3 |
Week 1 |
10.1 |
Curves Defined by Parametric Equations |
|
| 10.2 |
Calculus with Parametric Curves (No lengths, volumes and surface areas) |
| 12.6 |
Cylinders and Quadric Surfaces |
| 14.1 |
Functions of Several Variables |
| Week 2 |
14.3 |
Partial Derivatives |
2/27(Thu) 17:50-18:20 Quiz 1 (Coverage : 10.1-10.2, 12.6, 14.1) |
| 14.4 |
Tangent Planes and Linear Approximations |
| Week 3 |
14.5 |
The Chain Rules |
3/6(Thu) Worksheet 1 (Partial Derivatives in Economics) |
| 14.6 |
Directional Derivatives and the Gradient Vector |
| Week 4 |
14.7 |
Maximum and Minimum Values |
3/13(Thu) 17:30-18:20 Exam 1 (Coverage : Week 1-3) |
| 14.8 |
Lagrange Multipliers |
| Week 5 |
15.1 |
Double Integrals over Rectangles |
3/20(Thu) Worksheet 2 (The Least Square Method and Shadow Price) |
| 15.2 |
Double Integrals over General Regions |
| 10.3 |
Polar Coordinates |
Week 6
3/28(Fri) Calculus 3 Drop Deadline |
15.3 |
Double Integrals in Polar Coordinates |
3/27(Thu) 17:50-18:20 Quiz 2 (Coverage : 14.7-14.8) |
| 15.9 |
Change of Variables in Multiple Integrals |
| Week 7 |
15.4 |
Applications of Double Integrals (Probability) (*) |
|
| 15.6 |
Triple Integrals (*) |
| Week 8 |
4/10(Thu) 17:30-18:20 Exam 2 (Coverage : Week 4-6) |