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This was written for a previous year, and should serve as a general idea of what we will study. We finish the department's curriculum early, and while we could study differential equations at the end, we may study something else. |
|
Planned Date |
Actual Date |
Topic |
| 14 Jan |
14-16 Jan |
Areas and distances |
| 16 Jan |
16-18 Jan |
The definite integral |
| 18 Jan | 18 Jan |
The Fundamental Theorem of Calculus, part I |
| 21 Jan | MARTIN LUTHER KING, JR. HOLIDAY | |
| 22 Jan | Field trip to Stennis Space Center | |
| 23 Jan |
25 Jan |
The Fundamental Theorem of Calculus, part II |
| 25 Jan |
25 Jan |
Indefinite integrals and the Net Change Theorem |
| 28 Jan |
28 Jan |
The Substitution Rule |
| 30 Jan | PAUSE | |
| 1 Feb | 6 Feb | Areas between curves |
| 4 Feb |
MARDI GRAS HOLIDAY |
|
| 6 Feb | 1 Feb |
Test 1: Integrals |
| 8 Feb |
8, 11 Feb |
Volumes, part I |
| 11 Feb | 11, 13 Feb |
Volumes, part II |
| 13 Feb | 13, 15 Feb |
Work |
| 15 Feb | 15, 18 Feb |
The average value of a function |
| 18 Feb |
PAUSE | |
| 20 Feb | 22 Feb |
Test 2: Applications of integration |
| 22 Feb | 25 Feb | Integration by parts |
| 25 Feb | 27, 29 Feb | Trigonometric integrals |
| 25 Feb | 29 Feb; 3 Mar | Trigonometric substitution |
| 27 Feb | 5 Mar |
Partial fractions |
| 29 Feb | Read |
Strategies for integration |
| 3 Mar | 7 Mar |
Approximate integration |
| 5 Mar | 17 Mar |
Improper integrals |
| 7 Mar |
PAUSE | |
| 10 Mar | SPRING BREAK | |
| 12 Mar | SPRING BREAK | |
| 14 Mar | SPRING BREAK | |
| 17 Mar |
19 Mar |
Test 3: Techniques of integration |
| 19 Mar | 24 Mar |
Arc length |
| 21 Mar | GOOD FRIDAY |
|
| 24 Mar | 26 Mar |
Surface area |
| 26 Mar | 28 Mar, 2 Apr, 4 Apr |
Applications to physics and engineering |
| 28 Mar |
28 Mar |
Applications to economics and biology |
| 31 Mar | 31 Mar |
Probability |
| 7 Apr | Test 4: Further applications of integration | |
| 9 Apr | 9, 11 Apr | Curves defined by parametric equations |
| 11 Apr | 14 Apr | Calculus with parametric curves, part 1 |
| 14 Apr | 14, 16 Apr | Calculus with parametric curves, part 2 |
| 16 Apr | 18, 21 Apr | Modeling with differential equations |
| 18 Apr | 23, 25 Apr | Direction fields and Euler's Method |
| 21 Apr | 25, 28 Apr | Separable equations |
| 23 Apr | 28 Apr | Models for population growth |
| 25 Apr | 28, 30 Apr | Linear differential equations |
| 28 Apr | 30 Apr | Predator-prey systems |
| 7 May | Final Exam (1·30-4pm) |