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%