Goals and objectives | Course Outcomes | |
---|---|---|
1. | The students can compute the values of basic functions such as linear functions, quadratic functions, and polynomial functions and their combinations & inverses. The students can also draw the graphs of those functions. |
A-1
|
2. | The students can solve quadratic equations. The students can use division of polynomials to solve basic polynomial equations. |
A-1
|
3. | The students can compute the values of exponential functions & logarithms as well as solve basic equations with those functions. The students can also draw the graphs of exponential functions & logarithms. |
A-1
|
4. | The students can compute the values of trigonometric functions & their inverses using laws of sines & cosines and trigonometric identities. The students can also draw the graphs of those functions. |
A-1
|
5. | The students can express complex numbers using poloar coordinates and solve basic equations using De Moivre's Theorem. |
A-1
|
Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
---|---|---|---|
1. | Guidance Real numbers Exponents and radicals Algebraic expressions Rational expressions |
Review the content of the lecture (1.1-1.4 in the textbook) | 100分 |
Work on homework problems | 90分 | ||
2. | Equations Modeling with equations Inequalities Coordinate geometry |
Review the content of the lecture (1.5, 1.7-1.9 in the textbook) | 100分 |
Work on homework problems | 90分 | ||
3. | Functions Graphs Average rate of change Linear functions |
Review the content of the lecture (2.1-2.5 in the textbook) | 100分 |
Work on homework problems | 90分 | ||
4. | Transformations of functions Combining functions |
Review the content of the lecture (2.6-2.7 in the textbook) | 60分 |
Work on homework problems | 130分 | ||
5. | One-to-one functions and inverses Quadratic functions Polynomial functions |
Review the content of the lecture (2.8, 3.1-3.2 in the textbook) | 80分 |
Work on homework problems | 110分 | ||
6. | Dividing polynomials and real roots Complex numbers and fundamental theorem of algebra Rational functions |
Review the content of the lecture (1.6, 3.3-3.6 in the textbook) | 100分 |
Work on homework problems | 90分 | ||
7. | Mid-term presentation and discussions on the solutions afterwards | Preparation for mid-term presentation | 190分 |
8. | Exponential functions and logarithms Properties of logarithms Equations with exponents and logs |
Review the content of the lecture (4.4-4.6 in the textbook) | 100分 |
Work on homework problems | 90分 | ||
9. | Trigonometric functions via the unit circle Graphs of trigonometric functions |
Review the content of the lecture (5.1-5.4 in the textbook) | 80分 |
Work on homework problems | 110分 | ||
10. | Inverse trigonometric functions and their graphs Trigonometric functions via right angles |
Review the content of the lecture (5.5-5.6, 6.1-6.3 in the textbook) | 100分 |
Work on homework problems | 90分 | ||
11. | Inverse trigonometric functions and right triangles Laws of sines and cosines Trigonometric identities |
Review the content of the lecture (6.4-6.6, 7.1-7.2 in the textbook) | 80分 |
Work on homework problems | 110分 | ||
12. | More identities Working with equations involving trigonometric functions More equations with trigonometric functions |
Review the content of the lecture (7.3-7.5 in the textbook) | 60分 |
Work on homework problems | 130分 | ||
13. | Polar coordinates | Review the content of the lecture (8.1-8.3 in the textbook) | 60分 |
Work on homework problems | 130分 | ||
14. | Final presentation and discussions on the solutions afterwards | Preparation for final presentation | 190分 |
Total. | - | - | 2660分 |
Homework | Presentations | Total. | |
---|---|---|---|
1. | 10% | 5% | 15% |
2. | 15% | 6% | 21% |
3. | 15% | 6% | 21% |
4. | 20% | 8% | 28% |
5. | 10% | 5% | 15% |
Total. | 70% | 30% | - |
Work experience | Work experience and relevance to the course content if applicable |
---|---|
N/A | N/A |