| Week 01 |
| lecture |
× |
Syllabus & Course rules |
| lecture |
V3 2.1 | Vectors in plane |
| lecture |
V3 2.2 | Vectors in space |
| lecture |
V3 2.3 | Dot product |
| tutorial |
| PS |
| Week 02 |
| lecture |
V3 2.4 | Cross product |
| lecture |
V3 2.5 |
Lines and planes |
| lecture |
V3 2.5 |
Lines and planes |
| lecture |
V3 2.5 |
Lines and planes |
| tutorial |
| PS |
| Week 03 |
| lecture |
V3 2.6 |
Quadratic Surfaces |
| lecture |
V3 2.6 |
Quadratic Surfaces |
| lecture |
V3 2.7 |
Polar, Cylindrical and Spherical coordinates |
| lecture |
V3 3.1 |
Vector valued functions and space curves |
| tutorial |
| PS |
| Week 04 |
| lecture |
V3 3.1 |
Vector valued functions and space curves |
| lecture |
V3 3.2 |
Calculus of vector valued functions |
| lecture |
V3 3.2 |
Calculus of vector valued functions |
| lecture |
V3 3.2 |
Calculus of vector valued functions |
| tutorial |
| PS |
| Week 05 |
| lecture |
V3 3.3 |
Arc Length and Curvature |
| lecture |
V3 3.3 |
Arc Length and Curvature |
| lecture |
V3 3.4 |
Motion in space |
| lecture |
V3 3.4 |
Motion in space |
| tutorial |
| PS |
| Week 06 |
| lecture |
× |
Review |
| lecture |
V3 4.1 |
Functions of several variables |
| lecture |
V3 4.2 |
Limits and topology |
| lecture |
V3 4.2 |
Limits and topology |
| lecture |
V3 4.2 |
Limits and topology |
| tutorial |
| Mid Semester Evaluations |
| Week 07 |
| lecture |
V3 4.3 |
Continuity |
| lecture |
V3 4.3 |
Partial derivatives |
| lecture |
V3 4.3 |
Partial derivatives |
| lecture |
V3 4.3 |
Partial derivatives |
| Thu |
20 April |
Eid Al Fitr's eve |
| Fri |
21 April |
Eid Al Fitr day one |
| Week 08 |
| lecture |
V3 4.4 |
Tangent planes |
| lecture |
V3 4.5 |
Chain rule |
| lecture |
V3 4.6 |
Directional derivative |
| lecture |
V3 4.6 |
Gradient |
| tutorial |
| PS |
| Week 09 |
| Mon |
1 May |
International Workers’ Day |
| lecture |
V3 4.7 |
Maxima and minima; critical points |
| lecture |
V3 4.7 |
Second derivative test |
| tutorial |
| PS |
| Week 10 |
| lecture |
V3 4.8 |
Lagrange multipliers (one constraint) |
| lecture |
V3 4.8 |
Lagrange multipliers (two constraints) |
| lecture |
V3 5.1 |
Double integrals over rectangular regions |
| lecture |
V3 5.2 |
Double integrals over general regions |
| tutorial |
| PS |
| Week 11 |
| lecture |
V3 5.2 |
Double integrals over general regions |
| lecture |
V3 5.4 |
Triple integrals over boxes |
| lecture |
V3 5.4 |
Triple integrals over general volumes |
| lecture |
V3 5.4 |
Triple integrals over general volumes |
| tutorial |
| PS |
| Friday |
19 May |
The Commemoration of Atatürk, Youth and Sports Day |
| Week 12 |
| lecture |
V3 5.3 & 5.5 |
Integrals in polar coordinates |
| lecture |
V3 5.3 & 5.5 |
Integrals in cylindrical coordinates |
| lecture |
V3 5.3 & 5.5 |
Integrals in spherical coordinates |
| lecture |
V3 5.7 |
Change of variables in multiple integrals |
| tutorial |
| Mid Semester Evaluations |
| Week 13 |
| lecture |
V3 6.1 |
Vector fields |
| lecture |
V3 6.1 |
2D3D |
| lecture |
V3 6.2 |
Scalar line integrals |
| lecture |
V3 6.2 |
Vector line integrals |
| tutorial |
| PS |
| Week 14 |
| lecture |
V3 6.3 |
Conservative vector fields |
| lecture |
V3 6.4 | Green's Theorem |
| lecture |
V3 6.5 | Curl and divergence |
| lecture |
V3 6.6 |
Surface integrals |
| tutorial |
| PS |
| Week 15 |
| lecture |
V3 6.6 |
Surface integrals |
| lecture |
V3 6.7 |
Stoke's Theorem |
| lecture |
V3 6.8 |
Divergence Theorem |
| lecture |
V3 6.8 |
Divergence Theorem |
| tutorial |
| PS |
| Final exam period |