Partial Derivatives & Approximation Methods
Contents
| Week | Date | Topic |
| 1 | 3/3/2014 - 7/3/2014 | 1. FUNCTIONS OF SEVERAL VARIABLES |
| 1.1. Introduction to functions of several variables | ||
| Definitions and notations | ||
| Graph of functions of two variables | ||
| Domain and range | ||
| Limits and continuity | ||
| Tutorial | ||
| 2 | 10/3/2014 - 14/3/2014 | 1.2. Partial Derivatives |
| Definitions (using limits) and notations | ||
| Interpretations (partial derivative as slopes in three dimensions Cartesian coordinate or as rates of change) | ||
| Rules of partial differentiation | ||
| Tutorial | ||
| 3 | 17/3/2014 - 21/3/2014 | 1.3. Higher Order Partial Derivatives |
| Notations | ||
| Determination and evaluation of higher order partial derivatives | ||
| Tutorial | ||
| QUIZ 1 | ||
| 4 | 24/3/2014 - 28/3/2014 | 1.4. Chain Rule |
| One independent variable | ||
| Two independent variables | ||
| 1.5. Implicit Differentiation | ||
| Tutorial | ||
| 5 | 31/3/2014 - 4/4/2014 | 1.6. Total Differentials |
| TEST 1 | ||
| 6 | 7/4/2014 - 11/4/2014 | 1.7: Equation of Tangent Plane |
| 1.8: Linear Approximations (Tangent Plane Approximations) | ||
| Tutorial | ||
| 14/4/2014 - 20/4/2014 | Mid-semester Break | |
| 7 | 21/4/2014 - 25/4/2014 | 1.9. Directional Derivatives and Gradients |
| Gradient Vectors | ||
| Determination and evaluation of directional derivatives | ||
| Tutorial | ||
| 8 | 28/4/2014 - 2/5/2014 | 1.10. Extremum of functions of two variables |
| Second Partial Derivative Test | ||
| Tutorial | ||
| QUIZ 2 | ||
| 1/5/2014 (Thursday) | Labour Day | |
| 9 | 5/5/2014 - 9/5/2014 | 1.11. Lagrange Multiplier |
| Extreme values with one constraint | ||
| Tutorial | ||
| 10 | 12/5/2014 - 16/5/2014 | 2. APPROXIMATION METHODS |
| 2.1. Solving Non-Linear Equations | ||
| Bisection Method: | ||
| - Existence of roots (root finding) | ||
| - Bisection procedure | ||
| Tutorial | ||
| 13/5/2014 (Tuesday) | Wesak Day | |
| 17/5/2014 (Saturday) | Hari Keputeraan Tuanku Raja Perlis | |
| 11 | 19/5/2014 - 23/5/2014 | Newton’s Method: |
| - Newton’s formula | ||
| - Application of Newton’s method | ||
| 26/5/2014-1/6/2014 | SPECIAL BREAK | |
| 27/5/2014 (Tuesday) | Israk dan Mikraj | |
| 12 | 2/6/2013 - 6/6/2013 | 2.2. Polynomial Interpolation |
| Difference table | ||
| TEST 2 | ||
| 7/6/2014 (Saturday) | Keputeraan YDP Agong | |
| 13 | 9/6/2014 - 13/6/2014 | Newton’s forward difference |
| Tutorial | ||
| QUIZ 3 | ||
| 14 | 16/6/2014 - 20/6/2014 | Newton’s backward difference |
| TEST 3 | ||
| 23/6/2014 - 24/6/2014 | Revision Week | |
| 25/6/2014 - 13/7/2014 | Examination | |
Assessment
Final examination – One 2-hour paper : 60%Continuous assessment : 40%
- Test 1 : 10%
- Test 2 : 10%
- Test 3 : 10%
- Quizzes/Assignments (3) : 10%
