1. Coordinates graphs lines 2. Function and limits 3. Differentiation 4. Applications of differentiation 5. Integration 6. Applications of the definite integral 7. Logarithm and exponential functions 8. Inverse trigonometric and hyperbolic function 9. Techniques of integration 10 Improper integrals L Hopital s rule 11. Infinite series 12. Topic in analytic geometry 13. Polar coorninates and parametric equations 14. Vector in the plane 15. Three-dimensional space 16. Partial derivatives 17. Multiple integrals 18. Topics in vector calculus Appendix 1 Trigonometry review Appendix 2 Supplementary material