The Problem Of Cell Growth 
                                  As cells grow they hit  two limits: DNA and exchange limits.  As  a cell grows, the DNA cannot produce enough to maintain the cell.  Also, as a cell grows, its volume increases  faster than its surface area, meaning that it cannot keep up material exchange  to the size of the cell.  Thus, to solve  these growth problems, the cell divides.
                                Cell communication - Paracrine signal vs.  Endocrine signal
                                  Cell signals can be local signal (paracrine signal)  which is communicated through cell-cell contacts, or endocrine signal which is  mostly hormones secreted by glands and transported via blood. 
                                Cell Cycle
                                  Proliferating cells  undergo cell cycle which is composed of G1, S, G2 and M phases.  Resting cells are in G0.  Cell cycle is controlled by cyclins and CDKs,  when circumstances are not right, cell cycle checkpoints can be activated to  restrain cell cycle.  
                                Mitosis
                                  Mitosis is cell  division, with an exact replication of the cell's DNA into a new clone  cell.  Mitosis has four stages: prophase,  metaphase, anaphase, and telophase.  All  of these steps lead to separation of the duplicated DNA in order to give them  to the new cell.  After mitosis,  cytokinesis splits the cell membranes and cytoplasm into two new identical  cells.
                                Cell Cycle Control
                                There are 4 major cell cycle checkpoints: G1  checkpoint, intra-S phase checkpoints, G2 checkpoints and spindle checkpoints.  These are regulated by cyclins and  kinases.  When cell cycle checkpoints are  broken or cell cycle goes wrong, cells may undergo apoptosis or become  cancerous.