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                                Week  - 1                             | 
                            
                                Euclidian space, Tangent vectors                             | 
                        
                                                
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                                Week  - 2                             | 
                            
                                Vector fields, Directional derivative                             | 
                        
                                                
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                                Week  - 3                             | 
                            
                                Directional derivative, Curves                             | 
                        
                                                
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                                Week  - 4                             | 
                            
                                1-forms                             | 
                        
                                                
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                                Week  - 5                             | 
                            
                                Curves, 1-forms                             | 
                        
                                                
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                                Week  - 6                             | 
                            
                                1-forms                             | 
                        
                                                
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                                Week  - 7                             | 
                            
                                properties of maps                             | 
                        
                                                
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                                Week  - 8                             | 
                            
                                curves again                             | 
                        
                                                
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                                Week  - 9                             | 
                            
                                Frenet-Serret Formulas                             | 
                        
                                                
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                                Week  - 10                             | 
                            
                                derivation and examples of derivations                             | 
                        
                                                
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                                Week  - 11                             | 
                            
                                Arbitrarly parametrised curves                             | 
                        
                                                
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                                Week  - 12                             | 
                            
                                Covariant derivative                             | 
                        
                                                
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                                Week  - 13                             | 
                            
                                Frame fields                             | 
                        
                                                
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                                Week  - 14                             | 
                            
                                Cartan Structure equations on 3-dimension                             |