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Index
PART I Algebra and Geometry 1. Introduction to Algebra 2. Functions 3. Graphs of Functions 4. Linear Equations 5. Simultaneous Linear Equations 6. Quadratic Functions and Equations 7. Inequalities 8. The Locus of an Equation 9. The Straight Line 10. Families of Straight Lines 11. The Circle
PART II Pre-Calculus and Elementary Calculus
12. Rational and Polynomial Functions 13. Trigonometric Functions 14. Exponential and Logarithmic Functions 15. Complex Numbers 16. The Calculus of Single-Variable Functions: A Mathematics Approach 17. The Calculus of Single-Variable Functions: A Physics Approach 18. Vectors
PART III Advanced Topics in Mathematics
19. Polar, Spherical, and Cylindrical Coordinate Systems 20. Multivariate Calculus 21. Elementary Linear Algebra 22. Vector Calculus: Grad, Div, and Curl 23. Vector Calculus: Flux and Gauss' Law 24. Differential Equations 25. Elementary Probability 26. Infinite Series
APPENDIX A Rectangular Coordinates in Space APPENDIX B Units and Dimensions APPENDIX C Solving Physics Problems APPENDIX D Selected Physics Formulas APPENDIX E Selected Physical Constants APPENDIX F Integration by Parts APPENDIX G The Greek Alphabet and Prefixes INDEX
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