| |
1131 M01-04 |
|
|
|
| Calculus 1 |
Week 1 |
2.1 |
The Tangent and Velocity Problems |
Worksheet 1 (Inverse Trigonometric Functions) |
| 2.2 |
The Limit of a Function |
| 2.3 |
Calculating Limits Using the Limit Laws |
| Week 2 |
2.4 |
The Precise Definition of a Limit (WS) |
Worksheet 2 (The Precise Definition of a Limit) |
| 2.5 |
Continuity |
| 2.6 |
Limits at Infinity; Horizontal Asymptotes |
| 2.7 |
Derivatives and Rates of Change |
| Week 3 |
2.8 |
The Derivative as a Function |
|
| 3.1 |
Derivatives of Polynomials and Exponential Functions |
| 3.2 |
The Product and Quotient Rules |
| 3.3 |
Derivatives of Trigonometric Functions |
| Week 4 |
3.4 |
The Chain Rule |
9/23 (Mon) 17:30-18:20 Quiz 1 (2.1 - 3.2、WS1、WS2) |
| 3.5 |
Implicit Differentiation |
| Week 5 |
3.6 |
Derivatives of Logarithmic and Inverse Trigonometric Functions |
Worksheet 3 (Related Rates) |
| 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 |
10/14(Mon) 17:30-18:20 Quiiz 2 (3.3 - 4.2、WS3) |
| 4.7 |
Optimization Problems |
| 4.9 |
Antiderivatives (*) |
| Week 8 |
Buffer |
|
| 10/26(Sat) Exam |
| 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 |
Worksheet 1 (Volumes) |
| 6.1 |
Areas Between Curves |
| 6.2 |
Volume (WS) |
| 6.3 |
Volumes by Cylindrical Shells (WS) |
| Week 11 |
7.1 |
Integration by Parts |
Worksheet 2 (Other Applications of Integrations) |
| 7.2 |
Trigonometric Integrals |
| 7.3 |
Trigonometric Substitution |
Week 12
11/22(Fri) Calculus 2 Drop Deadline |
7.4 |
Integration of Rational Functions by Partial Fractions |
11/18(Mon) 17:30-18:20 Quiz 1 (5.1 - 7.1、WS1) |
| 7.5 |
Strategy for Integration |
| 7.8 |
Improper Integrals |
| |
Laplace Transforms of Special Functions (*) |
| Week 13 |
9.1 |
Modeling with Differential Equations |
|
| 9.3 |
Separable Equations |
| 9.5 |
Linear Equations |
| Week 14 |
17.1 |
Second-Order Linear Equations |
12/2(Mon) 17:30-18:20 Quiz 2 (7.2 - 9.1、WS2) |
| 17.2 |
Nonhomogeneous Linear Equations |
| |
Solving Differential Equations by Laplace Transform (WS) |
| Week 15 |
Buffer |
Worksheet 3 (Solving Differential Equztions by Laplace Transform)(*) |
| 12/14(Sat) Exam |
| Week 16 |
|
|
|
| |
1132 M01-04 |
|
|
|
| Calculus 3 |
Week 1 |
12.6 |
Cylinders and Quadric Surfaces |
Worksheet 1 (Space Curves and Their Tangents) |
| 14.1 |
Functions of Several Variables |
| 14.2 |
Limits and Continuity |
| Week 2 |
14.3 |
Partial Derivatives |
|
| 14.4 |
Tangent Planes and Linear Approximations |
| Week 3 |
14.5 |
The Chain Rule |
Worksheet 2 (Polar Coordinates) |
| 14.6 |
Directional Derivatives and the Gradient Vector |
| 14.7 |
Maximum and Minimum Values |
| Week 4 |
14.8 |
Lagrange Multipliers |
3/10 (Mon) 17:30-18:20 Quiz 1 (12.6、14.1 - 14.5、WS1) |
| 15.1 |
Double Integrals over Rectangles |
| Week 5 |
15.2 |
Double Integrals over General Regions |
Worksheet 3 (Applications of Double Integrals) |
| 15.3 |
Double Integrals in Polar Coordinates |
Week 6
3/28(Fri) Calculus 3 Drop Deadline |
15.6 |
Triple Integrals |
3/24 (Mon) 17:30-18:20 Quiz 2 (14.6 - 15.3、WS2) |
| 15.7 |
Triple Integrals in Cylindrical Coordinates |
| 15.8 |
Triple Integrals in Spherical Coordinates |
| Week 7 |
15.9 |
Change of Variables in Multiple Integrals |
|
| Week 8 |
Buffer |
|
| 4/12(Sat) Exam |
| Calculus 4 |
Week 9
4/18(Fri) Calculus 4 Withdrawal Deadline |
16.1 |
Vector Fields |
Worksheet 1 (Parametric Surfaces) |
| 16.2 |
Line Integrals |
| 16.3 |
The Fundamental Theorem for Line Integrals (WS) |
| Week 10 |
16.4 |
Green's Theorem |
Worksheet 2 (Conservative Vector Fields) |
| 16.5 |
Curl and Divergence |
| 16.6 |
Parametric Surfaces and Their Areas (WS) |
| Week 11 |
16.7 |
Surface Integrals |
4/28 (Mon) 17:30-18:20 Quiz 1 (16.1 - 16.4) |
| 16.8 |
Stokes' Theorem |
| 16.9 |
The Divergence Theorem |
Week 12
5/9(Fri) Calculus 4 Drop Deadline |
11.1 |
Sequences (*) |
|
| 11.2 |
Series |
| 11.3 |
The Integral Test and Estimates of Sums (WS) |
| Week 13 |
11.4 |
The Comparison Tests ( Skip the Limit Comparison Test) |
Worksheet 3 (Tests for Convergence of Series) |
| 11.5 |
Alternating Series and Absolute Convergence (WS) |
| 11.6 |
The Ratio and Root Tests |
| Week 14 |
11.7 |
Strategy for Testing Series (*) |
5/19 (Mon) 17:30-18:20 Quiz 2 (16.5 - 16.9、11.2 - 11.4、WS1) |
| 11.8 |
Power Series |
| 11.9 |
Representations of Functions as Power Series |
| Week 15 |
11.10 |
Taylor and Maclaurin Series |
|
| 11.11 |
Applications of Taylor Polynomials (WS) |
|
| Week 16 |
Buffer |
|
| 6/7(Sat) Exam |